51.029 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.114 * [progress]: [Phase 2 of 3] Improving. 0.114 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.114 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.115 * * [simplify]: iteration 0: 17 enodes 0.121 * * [simplify]: iteration 1: 36 enodes 0.135 * * [simplify]: iteration 2: 81 enodes 0.158 * * [simplify]: iteration 3: 215 enodes 0.234 * * [simplify]: iteration 4: 782 enodes 1.001 * * [simplify]: iteration 5: 4486 enodes 1.909 * * [simplify]: iteration complete: 5025 enodes 1.909 * * [simplify]: Extracting #0: cost 1 inf + 0 1.910 * * [simplify]: Extracting #1: cost 124 inf + 0 1.910 * * [simplify]: Extracting #2: cost 173 inf + 296 1.911 * * [simplify]: Extracting #3: cost 158 inf + 1011 1.913 * * [simplify]: Extracting #4: cost 582 inf + 1097 1.918 * * [simplify]: Extracting #5: cost 1581 inf + 5116 1.942 * * [simplify]: Extracting #6: cost 997 inf + 145004 2.026 * * [simplify]: Extracting #7: cost 218 inf + 357472 2.134 * * [simplify]: Extracting #8: cost 40 inf + 456353 2.255 * * [simplify]: Extracting #9: cost 0 inf + 482281 2.354 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 2.365 * * [progress]: iteration 1 / 4 2.365 * * * [progress]: picking best candidate 2.372 * * * * [pick]: Picked # 2.372 * * * [progress]: localizing error 2.423 * * * [progress]: generating rewritten candidates 2.423 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.734 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.825 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1) 2.847 * * * [progress]: generating series expansions 2.847 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.848 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 2.848 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 2.848 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.848 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.848 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.848 * [taylor]: Taking taylor expansion of 1/4 in J 2.848 * [backup-simplify]: Simplify 1/4 into 1/4 2.848 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.848 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.848 * [taylor]: Taking taylor expansion of U in J 2.848 * [backup-simplify]: Simplify U into U 2.848 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.848 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.848 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.848 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.848 * [taylor]: Taking taylor expansion of 1/2 in J 2.848 * [backup-simplify]: Simplify 1/2 into 1/2 2.848 * [taylor]: Taking taylor expansion of K in J 2.848 * [backup-simplify]: Simplify K into K 2.849 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.849 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.849 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.849 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.849 * [backup-simplify]: Simplify (- 0) into 0 2.850 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.850 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.850 * [taylor]: Taking taylor expansion of J in J 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.850 * [backup-simplify]: Simplify (* 1 1) into 1 2.850 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.851 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.851 * [taylor]: Taking taylor expansion of 1 in J 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [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))) 2.851 * [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))) 2.852 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.852 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.853 * [backup-simplify]: Simplify (+ 0) into 0 2.853 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.855 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.855 * [backup-simplify]: Simplify (- 0) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.856 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.857 * [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 2.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.858 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.858 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.858 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.858 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.858 * [taylor]: Taking taylor expansion of 1/4 in K 2.858 * [backup-simplify]: Simplify 1/4 into 1/4 2.858 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.858 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.858 * [taylor]: Taking taylor expansion of U in K 2.858 * [backup-simplify]: Simplify U into U 2.858 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.858 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.858 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.858 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.858 * [taylor]: Taking taylor expansion of 1/2 in K 2.858 * [backup-simplify]: Simplify 1/2 into 1/2 2.858 * [taylor]: Taking taylor expansion of K in K 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.860 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.860 * [taylor]: Taking taylor expansion of J in K 2.860 * [backup-simplify]: Simplify J into J 2.860 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.860 * [backup-simplify]: Simplify (* 1 1) into 1 2.860 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.860 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.860 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.860 * [taylor]: Taking taylor expansion of 1 in K 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.861 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.861 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.861 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.861 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.862 * [backup-simplify]: Simplify (+ 0) into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.863 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.865 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.865 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.865 * [taylor]: Taking taylor expansion of 1/4 in U 2.865 * [backup-simplify]: Simplify 1/4 into 1/4 2.865 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.865 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.865 * [taylor]: Taking taylor expansion of U in U 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.865 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.865 * [taylor]: Taking taylor expansion of 1/2 in U 2.865 * [backup-simplify]: Simplify 1/2 into 1/2 2.865 * [taylor]: Taking taylor expansion of K in U 2.865 * [backup-simplify]: Simplify K into K 2.865 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.865 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.865 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.865 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.865 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.866 * [backup-simplify]: Simplify (- 0) into 0 2.869 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.870 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.870 * [taylor]: Taking taylor expansion of J in U 2.870 * [backup-simplify]: Simplify J into J 2.870 * [backup-simplify]: Simplify (* 1 1) into 1 2.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.870 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.871 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.871 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.871 * [taylor]: Taking taylor expansion of 1 in U 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (+ 0 1) into 1 2.872 * [backup-simplify]: Simplify (sqrt 1) into 1 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.873 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.873 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.873 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.873 * [taylor]: Taking taylor expansion of 1/4 in U 2.873 * [backup-simplify]: Simplify 1/4 into 1/4 2.873 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.873 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.873 * [taylor]: Taking taylor expansion of U in U 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.873 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.873 * [taylor]: Taking taylor expansion of 1/2 in U 2.873 * [backup-simplify]: Simplify 1/2 into 1/2 2.873 * [taylor]: Taking taylor expansion of K in U 2.873 * [backup-simplify]: Simplify K into K 2.873 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.873 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.873 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.873 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.873 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.874 * [backup-simplify]: Simplify (- 0) into 0 2.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.874 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.874 * [taylor]: Taking taylor expansion of J in U 2.874 * [backup-simplify]: Simplify J into J 2.874 * [backup-simplify]: Simplify (* 1 1) into 1 2.874 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.874 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.874 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.874 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.875 * [taylor]: Taking taylor expansion of 1 in U 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (+ 0 1) into 1 2.875 * [backup-simplify]: Simplify (sqrt 1) into 1 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.876 * [taylor]: Taking taylor expansion of 1 in K 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of 1 in J 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of 0 in K 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [taylor]: Taking taylor expansion of 0 in J 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [taylor]: Taking taylor expansion of 0 in J 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [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))) 2.876 * [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)))) 2.877 * [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))) 2.877 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.877 * [taylor]: Taking taylor expansion of 1/8 in K 2.877 * [backup-simplify]: Simplify 1/8 into 1/8 2.877 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.877 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.877 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.877 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.877 * [taylor]: Taking taylor expansion of 1/2 in K 2.877 * [backup-simplify]: Simplify 1/2 into 1/2 2.877 * [taylor]: Taking taylor expansion of K in K 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.878 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.878 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.878 * [taylor]: Taking taylor expansion of J in K 2.878 * [backup-simplify]: Simplify J into J 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.879 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.879 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 2.879 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 2.879 * [taylor]: Taking taylor expansion of 1/8 in J 2.879 * [backup-simplify]: Simplify 1/8 into 1/8 2.879 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.879 * [taylor]: Taking taylor expansion of J in J 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [taylor]: Taking taylor expansion of 0 in J 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [taylor]: Taking taylor expansion of 0 in J 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.881 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.881 * [backup-simplify]: Simplify (+ 0) into 0 2.881 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.882 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.884 * [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 2.884 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.885 * [taylor]: Taking taylor expansion of 0 in K 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [taylor]: Taking taylor expansion of 0 in J 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.885 * [backup-simplify]: Simplify (+ 0) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.886 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 2.886 * [taylor]: Taking taylor expansion of 0 in J 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [taylor]: Taking taylor expansion of 0 in J 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [taylor]: Taking taylor expansion of 0 in J 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 2.888 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 2.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.888 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.888 * [taylor]: Taking taylor expansion of 1/4 in J 2.888 * [backup-simplify]: Simplify 1/4 into 1/4 2.888 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.888 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.888 * [taylor]: Taking taylor expansion of J in J 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.888 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.888 * [taylor]: Taking taylor expansion of U in J 2.888 * [backup-simplify]: Simplify U into U 2.888 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.888 * [taylor]: Taking taylor expansion of 1/2 in J 2.888 * [backup-simplify]: Simplify 1/2 into 1/2 2.888 * [taylor]: Taking taylor expansion of K in J 2.888 * [backup-simplify]: Simplify K into K 2.888 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.888 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.888 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.888 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.889 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.889 * [backup-simplify]: Simplify (- 0) into 0 2.889 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.889 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.889 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.890 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.890 * [taylor]: Taking taylor expansion of 1 in J 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (+ 0 1) into 1 2.890 * [backup-simplify]: Simplify (sqrt 1) into 1 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.891 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.891 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.891 * [taylor]: Taking taylor expansion of 1/4 in K 2.891 * [backup-simplify]: Simplify 1/4 into 1/4 2.891 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.891 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.891 * [taylor]: Taking taylor expansion of J in K 2.891 * [backup-simplify]: Simplify J into J 2.891 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.891 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.891 * [taylor]: Taking taylor expansion of U in K 2.891 * [backup-simplify]: Simplify U into U 2.891 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.891 * [taylor]: Taking taylor expansion of 1/2 in K 2.891 * [backup-simplify]: Simplify 1/2 into 1/2 2.891 * [taylor]: Taking taylor expansion of K in K 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.891 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.892 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.892 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.892 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.892 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.892 * [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))) 2.892 * [taylor]: Taking taylor expansion of 1 in K 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [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)))) 2.892 * [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) 2.893 * [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)) 2.893 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.893 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.894 * [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 2.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.895 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.895 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.895 * [taylor]: Taking taylor expansion of 1/4 in U 2.895 * [backup-simplify]: Simplify 1/4 into 1/4 2.895 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.895 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.895 * [taylor]: Taking taylor expansion of J in U 2.895 * [backup-simplify]: Simplify J into J 2.895 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.895 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.895 * [taylor]: Taking taylor expansion of U in U 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.895 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.895 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.895 * [taylor]: Taking taylor expansion of 1/2 in U 2.895 * [backup-simplify]: Simplify 1/2 into 1/2 2.895 * [taylor]: Taking taylor expansion of K in U 2.895 * [backup-simplify]: Simplify K into K 2.895 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.896 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.896 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.896 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.896 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.896 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.897 * [backup-simplify]: Simplify (* 1 1) into 1 2.897 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.897 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.897 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.897 * [taylor]: Taking taylor expansion of 1 in U 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [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))) 2.898 * [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))) 2.898 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.898 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.898 * [backup-simplify]: Simplify (+ 0) into 0 2.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.900 * [backup-simplify]: Simplify (- 0) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.901 * [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 2.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.902 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.902 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.902 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.902 * [taylor]: Taking taylor expansion of 1/4 in U 2.902 * [backup-simplify]: Simplify 1/4 into 1/4 2.902 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.902 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.902 * [taylor]: Taking taylor expansion of J in U 2.902 * [backup-simplify]: Simplify J into J 2.902 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.902 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.902 * [taylor]: Taking taylor expansion of U in U 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.903 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.903 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.903 * [taylor]: Taking taylor expansion of 1/2 in U 2.903 * [backup-simplify]: Simplify 1/2 into 1/2 2.903 * [taylor]: Taking taylor expansion of K in U 2.903 * [backup-simplify]: Simplify K into K 2.903 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.903 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.903 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.903 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.903 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.903 * [backup-simplify]: Simplify (- 0) into 0 2.903 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.903 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.904 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.904 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.904 * [taylor]: Taking taylor expansion of 1 in U 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [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))) 2.904 * [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))) 2.904 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.904 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.905 * [backup-simplify]: Simplify (+ 0) into 0 2.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.907 * [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 2.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 2.908 * [taylor]: Taking taylor expansion of 1/2 in K 2.908 * [backup-simplify]: Simplify 1/2 into 1/2 2.908 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 2.908 * [taylor]: Taking taylor expansion of J in K 2.908 * [backup-simplify]: Simplify J into J 2.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.908 * [taylor]: Taking taylor expansion of 1/2 in K 2.908 * [backup-simplify]: Simplify 1/2 into 1/2 2.908 * [taylor]: Taking taylor expansion of K in K 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.909 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.909 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.909 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 2.909 * [taylor]: Taking taylor expansion of 1/2 in J 2.909 * [backup-simplify]: Simplify 1/2 into 1/2 2.909 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 2.909 * [taylor]: Taking taylor expansion of J in J 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.909 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.909 * [taylor]: Taking taylor expansion of 1/2 in J 2.909 * [backup-simplify]: Simplify 1/2 into 1/2 2.909 * [taylor]: Taking taylor expansion of K in J 2.909 * [backup-simplify]: Simplify K into K 2.909 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.909 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.909 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.909 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.909 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.910 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.910 * [taylor]: Taking taylor expansion of 0 in K 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [taylor]: Taking taylor expansion of 0 in J 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.910 * [taylor]: Taking taylor expansion of 0 in J 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 2.911 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.911 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.913 * [backup-simplify]: Simplify (- 0) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 1) into 1 2.917 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.917 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.917 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.917 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.917 * [taylor]: Taking taylor expansion of 1/2 in K 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of K in K 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.917 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.917 * [taylor]: Taking taylor expansion of J in K 2.917 * [backup-simplify]: Simplify J into J 2.917 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.917 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.917 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.917 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.917 * [taylor]: Taking taylor expansion of 1/2 in J 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of K in J 2.917 * [backup-simplify]: Simplify K into K 2.917 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.917 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.917 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.917 * [taylor]: Taking taylor expansion of J in J 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.917 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.918 * [backup-simplify]: Simplify (- 0) into 0 2.918 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.918 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.918 * [backup-simplify]: Simplify (+ 0) into 0 2.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [taylor]: Taking taylor expansion of 0 in J 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.921 * [taylor]: Taking taylor expansion of 0 in J 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ 0) into 0 2.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.923 * [backup-simplify]: Simplify (- 0) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 2.924 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 2.924 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.924 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.924 * [taylor]: Taking taylor expansion of 1 in J 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.924 * [taylor]: Taking taylor expansion of 1/4 in J 2.924 * [backup-simplify]: Simplify 1/4 into 1/4 2.924 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.924 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.924 * [taylor]: Taking taylor expansion of J in J 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.924 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.924 * [taylor]: Taking taylor expansion of -1/2 in J 2.924 * [backup-simplify]: Simplify -1/2 into -1/2 2.924 * [taylor]: Taking taylor expansion of K in J 2.924 * [backup-simplify]: Simplify K into K 2.925 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.925 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.925 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.925 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.925 * [backup-simplify]: Simplify (- 0) into 0 2.925 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.925 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.925 * [taylor]: Taking taylor expansion of U in J 2.925 * [backup-simplify]: Simplify U into U 2.925 * [backup-simplify]: Simplify (* 1 1) into 1 2.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.925 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.926 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.926 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.926 * [backup-simplify]: Simplify (+ 1 0) into 1 2.926 * [backup-simplify]: Simplify (sqrt 1) into 1 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.927 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.927 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.927 * [taylor]: Taking taylor expansion of 1 in K 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.927 * [taylor]: Taking taylor expansion of 1/4 in K 2.927 * [backup-simplify]: Simplify 1/4 into 1/4 2.927 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.927 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.927 * [taylor]: Taking taylor expansion of J in K 2.927 * [backup-simplify]: Simplify J into J 2.927 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.927 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.927 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.927 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.927 * [taylor]: Taking taylor expansion of -1/2 in K 2.927 * [backup-simplify]: Simplify -1/2 into -1/2 2.927 * [taylor]: Taking taylor expansion of K in K 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.928 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.928 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.928 * [taylor]: Taking taylor expansion of U in K 2.928 * [backup-simplify]: Simplify U into U 2.928 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.928 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.928 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.928 * [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))) 2.928 * [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)))) 2.929 * [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))))) 2.929 * [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)))))) 2.929 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.929 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.930 * [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 2.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.931 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.931 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.931 * [taylor]: Taking taylor expansion of 1 in U 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.931 * [taylor]: Taking taylor expansion of 1/4 in U 2.931 * [backup-simplify]: Simplify 1/4 into 1/4 2.931 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.931 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.931 * [taylor]: Taking taylor expansion of J in U 2.931 * [backup-simplify]: Simplify J into J 2.931 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.931 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.931 * [taylor]: Taking taylor expansion of -1/2 in U 2.931 * [backup-simplify]: Simplify -1/2 into -1/2 2.931 * [taylor]: Taking taylor expansion of K in U 2.931 * [backup-simplify]: Simplify K into K 2.931 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.931 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.931 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.932 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.932 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.932 * [taylor]: Taking taylor expansion of U in U 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.932 * [backup-simplify]: Simplify (* 1 1) into 1 2.932 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.932 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.933 * [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))) 2.933 * [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))) 2.933 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.933 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.934 * [backup-simplify]: Simplify (+ 0) into 0 2.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.935 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.936 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.936 * [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 2.937 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.937 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.937 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.937 * [taylor]: Taking taylor expansion of 1 in U 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.937 * [taylor]: Taking taylor expansion of 1/4 in U 2.937 * [backup-simplify]: Simplify 1/4 into 1/4 2.937 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.937 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.937 * [taylor]: Taking taylor expansion of J in U 2.937 * [backup-simplify]: Simplify J into J 2.937 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.937 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.937 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.937 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.937 * [taylor]: Taking taylor expansion of -1/2 in U 2.937 * [backup-simplify]: Simplify -1/2 into -1/2 2.937 * [taylor]: Taking taylor expansion of K in U 2.937 * [backup-simplify]: Simplify K into K 2.937 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.937 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.937 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.938 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.938 * [backup-simplify]: Simplify (- 0) into 0 2.938 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.938 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.938 * [taylor]: Taking taylor expansion of U in U 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.938 * [backup-simplify]: Simplify (* 1 1) into 1 2.938 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.939 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.939 * [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))) 2.939 * [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))) 2.939 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.939 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.940 * [backup-simplify]: Simplify (+ 0) into 0 2.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.941 * [backup-simplify]: Simplify (- 0) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.942 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.942 * [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 2.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 2.943 * [taylor]: Taking taylor expansion of 1/2 in K 2.943 * [backup-simplify]: Simplify 1/2 into 1/2 2.943 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 2.943 * [taylor]: Taking taylor expansion of J in K 2.943 * [backup-simplify]: Simplify J into J 2.943 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.943 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.943 * [taylor]: Taking taylor expansion of -1/2 in K 2.943 * [backup-simplify]: Simplify -1/2 into -1/2 2.943 * [taylor]: Taking taylor expansion of K in K 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.944 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.944 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.944 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.944 * [taylor]: Taking taylor expansion of 1/2 in J 2.944 * [backup-simplify]: Simplify 1/2 into 1/2 2.944 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.944 * [taylor]: Taking taylor expansion of J in J 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.944 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.944 * [taylor]: Taking taylor expansion of -1/2 in J 2.944 * [backup-simplify]: Simplify -1/2 into -1/2 2.944 * [taylor]: Taking taylor expansion of K in J 2.944 * [backup-simplify]: Simplify K into K 2.944 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.944 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.944 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.944 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.944 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.945 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 2.945 * [taylor]: Taking taylor expansion of 0 in K 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [taylor]: Taking taylor expansion of 0 in J 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.945 * [taylor]: Taking taylor expansion of 0 in J 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 2.945 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.946 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.948 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.950 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.950 * [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 2.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.951 * [backup-simplify]: Simplify (+ 1 0) into 1 2.951 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.951 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.951 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.951 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.951 * [taylor]: Taking taylor expansion of -1/2 in K 2.951 * [backup-simplify]: Simplify -1/2 into -1/2 2.951 * [taylor]: Taking taylor expansion of K in K 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.952 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.952 * [taylor]: Taking taylor expansion of J in K 2.952 * [backup-simplify]: Simplify J into J 2.952 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.952 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.952 * [taylor]: Taking taylor expansion of -1/2 in J 2.952 * [backup-simplify]: Simplify -1/2 into -1/2 2.952 * [taylor]: Taking taylor expansion of K in J 2.952 * [backup-simplify]: Simplify K into K 2.952 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.952 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.952 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.952 * [taylor]: Taking taylor expansion of J in J 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.952 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.953 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.953 * [backup-simplify]: Simplify (+ 0) into 0 2.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [taylor]: Taking taylor expansion of 0 in J 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.956 * [taylor]: Taking taylor expansion of 0 in J 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (+ 0) into 0 2.957 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.959 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.959 * [backup-simplify]: Simplify (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 2.959 * [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 (J K U) around 0 2.959 * [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 2.959 * [taylor]: Taking taylor expansion of -2 in U 2.959 * [backup-simplify]: Simplify -2 into -2 2.959 * [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 2.959 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.959 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.959 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.959 * [taylor]: Taking taylor expansion of 1/2 in U 2.959 * [backup-simplify]: Simplify 1/2 into 1/2 2.959 * [taylor]: Taking taylor expansion of K in U 2.959 * [backup-simplify]: Simplify K into K 2.959 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.959 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.959 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.959 * [taylor]: Taking taylor expansion of J in U 2.959 * [backup-simplify]: Simplify J into J 2.959 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.959 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.959 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.959 * [taylor]: Taking taylor expansion of 1/4 in U 2.959 * [backup-simplify]: Simplify 1/4 into 1/4 2.959 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.959 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.959 * [taylor]: Taking taylor expansion of U in U 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.960 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.960 * [taylor]: Taking taylor expansion of 1/2 in U 2.960 * [backup-simplify]: Simplify 1/2 into 1/2 2.960 * [taylor]: Taking taylor expansion of K in U 2.960 * [backup-simplify]: Simplify K into K 2.960 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.960 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.960 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.960 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.960 * [backup-simplify]: Simplify (- 0) into 0 2.960 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.960 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.960 * [taylor]: Taking taylor expansion of J in U 2.960 * [backup-simplify]: Simplify J into J 2.960 * [backup-simplify]: Simplify (* 1 1) into 1 2.961 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.961 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.961 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.961 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.961 * [taylor]: Taking taylor expansion of 1 in U 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (+ 0 1) into 1 2.961 * [backup-simplify]: Simplify (sqrt 1) into 1 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.962 * [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 2.962 * [taylor]: Taking taylor expansion of -2 in K 2.962 * [backup-simplify]: Simplify -2 into -2 2.962 * [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 2.962 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.962 * [taylor]: Taking taylor expansion of 1/2 in K 2.962 * [backup-simplify]: Simplify 1/2 into 1/2 2.962 * [taylor]: Taking taylor expansion of K in K 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.963 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.963 * [taylor]: Taking taylor expansion of J in K 2.963 * [backup-simplify]: Simplify J into J 2.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.963 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.963 * [taylor]: Taking taylor expansion of 1/4 in K 2.963 * [backup-simplify]: Simplify 1/4 into 1/4 2.963 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.963 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.963 * [taylor]: Taking taylor expansion of U in K 2.963 * [backup-simplify]: Simplify U into U 2.963 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.963 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.963 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.963 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.963 * [taylor]: Taking taylor expansion of 1/2 in K 2.963 * [backup-simplify]: Simplify 1/2 into 1/2 2.963 * [taylor]: Taking taylor expansion of K in K 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.964 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.964 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.964 * [taylor]: Taking taylor expansion of J in K 2.964 * [backup-simplify]: Simplify J into J 2.964 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.964 * [backup-simplify]: Simplify (* 1 1) into 1 2.964 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.964 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.965 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.965 * [taylor]: Taking taylor expansion of 1 in K 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.965 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.965 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.965 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.965 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.965 * [backup-simplify]: Simplify (+ 0) into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.968 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.969 * [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 2.969 * [taylor]: Taking taylor expansion of -2 in J 2.969 * [backup-simplify]: Simplify -2 into -2 2.969 * [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 2.969 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.969 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.969 * [taylor]: Taking taylor expansion of 1/2 in J 2.969 * [backup-simplify]: Simplify 1/2 into 1/2 2.969 * [taylor]: Taking taylor expansion of K in J 2.969 * [backup-simplify]: Simplify K into K 2.969 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.969 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.969 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.969 * [taylor]: Taking taylor expansion of J in J 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.969 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.969 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.969 * [taylor]: Taking taylor expansion of 1/4 in J 2.969 * [backup-simplify]: Simplify 1/4 into 1/4 2.969 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.969 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.969 * [taylor]: Taking taylor expansion of U in J 2.969 * [backup-simplify]: Simplify U into U 2.969 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.969 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.969 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.969 * [taylor]: Taking taylor expansion of 1/2 in J 2.969 * [backup-simplify]: Simplify 1/2 into 1/2 2.969 * [taylor]: Taking taylor expansion of K in J 2.969 * [backup-simplify]: Simplify K into K 2.969 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.969 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.969 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.969 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.970 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.970 * [taylor]: Taking taylor expansion of J in J 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.970 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.970 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.970 * [taylor]: Taking taylor expansion of 1 in J 2.970 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 2.971 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 2.971 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.971 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.972 * [backup-simplify]: Simplify (+ 0) into 0 2.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.973 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.973 * [backup-simplify]: Simplify (- 0) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.974 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.974 * [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 2.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.975 * [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 2.975 * [taylor]: Taking taylor expansion of -2 in J 2.975 * [backup-simplify]: Simplify -2 into -2 2.975 * [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 2.975 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.975 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.975 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.975 * [taylor]: Taking taylor expansion of 1/2 in J 2.975 * [backup-simplify]: Simplify 1/2 into 1/2 2.975 * [taylor]: Taking taylor expansion of K in J 2.975 * [backup-simplify]: Simplify K into K 2.975 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.975 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.975 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.975 * [taylor]: Taking taylor expansion of J in J 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.975 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.976 * [taylor]: Taking taylor expansion of 1/4 in J 2.976 * [backup-simplify]: Simplify 1/4 into 1/4 2.976 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.976 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.976 * [taylor]: Taking taylor expansion of U in J 2.976 * [backup-simplify]: Simplify U into U 2.976 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.976 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.976 * [taylor]: Taking taylor expansion of 1/2 in J 2.976 * [backup-simplify]: Simplify 1/2 into 1/2 2.976 * [taylor]: Taking taylor expansion of K in J 2.976 * [backup-simplify]: Simplify K into K 2.976 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.976 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.976 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.976 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.976 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.976 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.976 * [taylor]: Taking taylor expansion of J in J 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.977 * [backup-simplify]: Simplify (* 1 1) into 1 2.977 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.977 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.977 * [taylor]: Taking taylor expansion of 1 in J 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [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))) 2.977 * [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))) 2.978 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.978 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.978 * [backup-simplify]: Simplify (+ 0) into 0 2.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.980 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.980 * [backup-simplify]: Simplify (- 0) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.981 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.981 * [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 2.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.982 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.982 * [backup-simplify]: Simplify (- 0) into 0 2.982 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.982 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 2.983 * [backup-simplify]: Simplify (* -2 0) into 0 2.983 * [taylor]: Taking taylor expansion of 0 in K 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [taylor]: Taking taylor expansion of 0 in U 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify (+ 0) into 0 2.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.984 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.986 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 2.986 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 2.986 * [taylor]: Taking taylor expansion of (- U) in K 2.986 * [taylor]: Taking taylor expansion of U in K 2.986 * [backup-simplify]: Simplify U into U 2.986 * [backup-simplify]: Simplify (- U) into (- U) 2.986 * [taylor]: Taking taylor expansion of (- U) in U 2.986 * [taylor]: Taking taylor expansion of U in U 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (- 0) into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [taylor]: Taking taylor expansion of 0 in U 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.988 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.989 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.991 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.991 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 2.992 * [backup-simplify]: Simplify (+ 0 1) into 1 2.993 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 2.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.995 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.996 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 2.997 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 2.997 * [taylor]: Taking taylor expansion of 0 in K 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [taylor]: Taking taylor expansion of 0 in U 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (- 0) into 0 2.997 * [taylor]: Taking taylor expansion of 0 in U 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (* (* (/ 1 J) (* -2 (cos (/ (/ 1 K) 2)))) (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2.998 * [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 (J K U) around 0 2.998 * [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 2.998 * [taylor]: Taking taylor expansion of -2 in U 2.998 * [backup-simplify]: Simplify -2 into -2 2.998 * [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 2.998 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.998 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.998 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.998 * [taylor]: Taking taylor expansion of 1/4 in U 2.998 * [backup-simplify]: Simplify 1/4 into 1/4 2.998 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.998 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.998 * [taylor]: Taking taylor expansion of J in U 2.998 * [backup-simplify]: Simplify J into J 2.998 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.998 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.998 * [taylor]: Taking taylor expansion of U in U 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.998 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.998 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.998 * [taylor]: Taking taylor expansion of 1/2 in U 2.998 * [backup-simplify]: Simplify 1/2 into 1/2 2.998 * [taylor]: Taking taylor expansion of K in U 2.998 * [backup-simplify]: Simplify K into K 2.998 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.998 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.998 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.998 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.998 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.998 * [backup-simplify]: Simplify (- 0) into 0 2.999 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.999 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.999 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.999 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.999 * [taylor]: Taking taylor expansion of 1 in U 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [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))) 3.000 * [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))) 3.000 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.000 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.001 * [backup-simplify]: Simplify (+ 0) into 0 3.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.003 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.003 * [backup-simplify]: Simplify (- 0) into 0 3.003 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.005 * [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 3.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.006 * [backup-simplify]: Simplify (+ 0 0) into 0 3.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.007 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 3.007 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.007 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.007 * [taylor]: Taking taylor expansion of 1/2 in U 3.007 * [backup-simplify]: Simplify 1/2 into 1/2 3.007 * [taylor]: Taking taylor expansion of K in U 3.007 * [backup-simplify]: Simplify K into K 3.007 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.007 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.007 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.007 * [taylor]: Taking taylor expansion of J in U 3.007 * [backup-simplify]: Simplify J into J 3.007 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.007 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.008 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.008 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.008 * [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 3.008 * [taylor]: Taking taylor expansion of -2 in K 3.008 * [backup-simplify]: Simplify -2 into -2 3.008 * [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 3.008 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.008 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.008 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.008 * [taylor]: Taking taylor expansion of 1/4 in K 3.008 * [backup-simplify]: Simplify 1/4 into 1/4 3.008 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.008 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.008 * [taylor]: Taking taylor expansion of J in K 3.008 * [backup-simplify]: Simplify J into J 3.008 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.008 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.008 * [taylor]: Taking taylor expansion of U in K 3.008 * [backup-simplify]: Simplify U into U 3.008 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.008 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.008 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.008 * [taylor]: Taking taylor expansion of 1/2 in K 3.008 * [backup-simplify]: Simplify 1/2 into 1/2 3.008 * [taylor]: Taking taylor expansion of K in K 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.009 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.009 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.009 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.009 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.009 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.010 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.010 * [taylor]: Taking taylor expansion of 1 in K 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.011 * [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) 3.011 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.011 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.011 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.012 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.012 * [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 3.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.014 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.014 * [taylor]: Taking taylor expansion of 1/2 in K 3.014 * [backup-simplify]: Simplify 1/2 into 1/2 3.014 * [taylor]: Taking taylor expansion of K in K 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.015 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.015 * [taylor]: Taking taylor expansion of J in K 3.015 * [backup-simplify]: Simplify J into J 3.015 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.015 * [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 3.015 * [taylor]: Taking taylor expansion of -2 in J 3.015 * [backup-simplify]: Simplify -2 into -2 3.015 * [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 3.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.015 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.015 * [taylor]: Taking taylor expansion of 1/4 in J 3.015 * [backup-simplify]: Simplify 1/4 into 1/4 3.015 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.015 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.015 * [taylor]: Taking taylor expansion of J in J 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.015 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.015 * [taylor]: Taking taylor expansion of U in J 3.015 * [backup-simplify]: Simplify U into U 3.015 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.015 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.015 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.015 * [taylor]: Taking taylor expansion of 1/2 in J 3.015 * [backup-simplify]: Simplify 1/2 into 1/2 3.015 * [taylor]: Taking taylor expansion of K in J 3.015 * [backup-simplify]: Simplify K into K 3.015 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.016 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.016 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.016 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.016 * [backup-simplify]: Simplify (- 0) into 0 3.016 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.017 * [backup-simplify]: Simplify (* 1 1) into 1 3.017 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.017 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.017 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.017 * [taylor]: Taking taylor expansion of 1 in J 3.017 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (+ 0 1) into 1 3.018 * [backup-simplify]: Simplify (sqrt 1) into 1 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.019 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.019 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.019 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.019 * [taylor]: Taking taylor expansion of 1/2 in J 3.019 * [backup-simplify]: Simplify 1/2 into 1/2 3.019 * [taylor]: Taking taylor expansion of K in J 3.019 * [backup-simplify]: Simplify K into K 3.019 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.020 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.020 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.020 * [taylor]: Taking taylor expansion of J in J 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.020 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.020 * [backup-simplify]: Simplify (- 0) into 0 3.020 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.020 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.020 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 3.020 * [taylor]: Taking taylor expansion of -2 in J 3.021 * [backup-simplify]: Simplify -2 into -2 3.021 * [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 3.021 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.021 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.021 * [taylor]: Taking taylor expansion of 1/4 in J 3.021 * [backup-simplify]: Simplify 1/4 into 1/4 3.021 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.021 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.021 * [taylor]: Taking taylor expansion of J in J 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.021 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.021 * [taylor]: Taking taylor expansion of U in J 3.021 * [backup-simplify]: Simplify U into U 3.021 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.021 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.021 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.021 * [taylor]: Taking taylor expansion of 1/2 in J 3.021 * [backup-simplify]: Simplify 1/2 into 1/2 3.021 * [taylor]: Taking taylor expansion of K in J 3.021 * [backup-simplify]: Simplify K into K 3.021 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.021 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.021 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.021 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.021 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.023 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.023 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.023 * [taylor]: Taking taylor expansion of 1 in J 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (+ 0 1) into 1 3.024 * [backup-simplify]: Simplify (sqrt 1) into 1 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.025 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.025 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.025 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.025 * [taylor]: Taking taylor expansion of 1/2 in J 3.025 * [backup-simplify]: Simplify 1/2 into 1/2 3.025 * [taylor]: Taking taylor expansion of K in J 3.025 * [backup-simplify]: Simplify K into K 3.025 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.025 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.025 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.025 * [taylor]: Taking taylor expansion of J in J 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.026 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.026 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.026 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.026 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.026 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.026 * [taylor]: Taking taylor expansion of -2 in K 3.026 * [backup-simplify]: Simplify -2 into -2 3.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.026 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.026 * [taylor]: Taking taylor expansion of 1/2 in K 3.026 * [backup-simplify]: Simplify 1/2 into 1/2 3.026 * [taylor]: Taking taylor expansion of K in K 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.027 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.027 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.027 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 3.027 * [taylor]: Taking taylor expansion of -2 in U 3.027 * [backup-simplify]: Simplify -2 into -2 3.027 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.027 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.027 * [taylor]: Taking taylor expansion of 1/2 in U 3.027 * [backup-simplify]: Simplify 1/2 into 1/2 3.027 * [taylor]: Taking taylor expansion of K in U 3.027 * [backup-simplify]: Simplify K into K 3.027 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.027 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.027 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.028 * [backup-simplify]: Simplify (+ 0) into 0 3.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.029 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.030 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.031 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.032 * [taylor]: Taking taylor expansion of 0 in K 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [taylor]: Taking taylor expansion of 0 in U 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.033 * [taylor]: Taking taylor expansion of 0 in U 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.033 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.033 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.034 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.034 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.037 * [backup-simplify]: Simplify (- 0) into 0 3.037 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.039 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.040 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 3.042 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.042 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 3.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 3.042 * [taylor]: Taking taylor expansion of 1/4 in K 3.042 * [backup-simplify]: Simplify 1/4 into 1/4 3.042 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 3.042 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 3.042 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.042 * [taylor]: Taking taylor expansion of U in K 3.042 * [backup-simplify]: Simplify U into U 3.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.042 * [taylor]: Taking taylor expansion of 1/2 in K 3.042 * [backup-simplify]: Simplify 1/2 into 1/2 3.042 * [taylor]: Taking taylor expansion of K in K 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.043 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.043 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 3.043 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 3.044 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 3.044 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.044 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 3.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 3.044 * [taylor]: Taking taylor expansion of 1/4 in U 3.044 * [backup-simplify]: Simplify 1/4 into 1/4 3.044 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 3.044 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 3.044 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.044 * [taylor]: Taking taylor expansion of U in U 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.044 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.044 * [taylor]: Taking taylor expansion of 1/2 in U 3.044 * [backup-simplify]: Simplify 1/2 into 1/2 3.044 * [taylor]: Taking taylor expansion of K in U 3.044 * [backup-simplify]: Simplify K into K 3.044 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.044 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.044 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.045 * [backup-simplify]: Simplify (* 1 1) into 1 3.045 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.045 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.045 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.045 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.045 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.046 * [backup-simplify]: Simplify (+ 0) into 0 3.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.046 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.048 * [backup-simplify]: Simplify (- 0) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [taylor]: Taking taylor expansion of 0 in U 3.050 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.051 * [taylor]: Taking taylor expansion of 0 in U 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (+ 0) into 0 3.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.054 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.059 * [backup-simplify]: Simplify (- 0) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.062 * [backup-simplify]: Simplify (+ 0) into 0 3.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.064 * [backup-simplify]: Simplify (- 0) into 0 3.064 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.064 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.064 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.065 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.068 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.068 * [taylor]: Taking taylor expansion of 0 in K 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [taylor]: Taking taylor expansion of 0 in U 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.068 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 3.069 * [backup-simplify]: Simplify (- 0) into 0 3.069 * [taylor]: Taking taylor expansion of 0 in U 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [taylor]: Taking taylor expansion of 0 in U 3.069 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.070 * [taylor]: Taking taylor expansion of 0 in U 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.073 * [backup-simplify]: Simplify (- 0) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 3.076 * [backup-simplify]: Simplify (- 0) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.077 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) (* -2 (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 3.077 * [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 (J K U) around 0 3.077 * [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 3.077 * [taylor]: Taking taylor expansion of 2 in U 3.077 * [backup-simplify]: Simplify 2 into 2 3.077 * [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 3.077 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 3.077 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.077 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.077 * [taylor]: Taking taylor expansion of -1/2 in U 3.077 * [backup-simplify]: Simplify -1/2 into -1/2 3.077 * [taylor]: Taking taylor expansion of K in U 3.077 * [backup-simplify]: Simplify K into K 3.077 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.078 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.078 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.078 * [taylor]: Taking taylor expansion of J in U 3.078 * [backup-simplify]: Simplify J into J 3.078 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.078 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.078 * [backup-simplify]: Simplify (- 0) into 0 3.078 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.079 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.079 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.079 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.079 * [taylor]: Taking taylor expansion of 1 in U 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.079 * [taylor]: Taking taylor expansion of 1/4 in U 3.079 * [backup-simplify]: Simplify 1/4 into 1/4 3.079 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.079 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.079 * [taylor]: Taking taylor expansion of J in U 3.079 * [backup-simplify]: Simplify J into J 3.079 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.079 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.079 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.079 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.079 * [taylor]: Taking taylor expansion of -1/2 in U 3.079 * [backup-simplify]: Simplify -1/2 into -1/2 3.079 * [taylor]: Taking taylor expansion of K in U 3.079 * [backup-simplify]: Simplify K into K 3.079 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.079 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.079 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.079 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.079 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.080 * [backup-simplify]: Simplify (- 0) into 0 3.080 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.080 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.080 * [taylor]: Taking taylor expansion of U in U 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.080 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.081 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.081 * [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))) 3.081 * [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))) 3.081 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.081 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.082 * [backup-simplify]: Simplify (+ 0) into 0 3.082 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.083 * [backup-simplify]: Simplify (- 0) into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.084 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.084 * [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 3.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.086 * [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 3.086 * [taylor]: Taking taylor expansion of 2 in K 3.086 * [backup-simplify]: Simplify 2 into 2 3.086 * [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 3.087 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.087 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.087 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.087 * [taylor]: Taking taylor expansion of -1/2 in K 3.087 * [backup-simplify]: Simplify -1/2 into -1/2 3.087 * [taylor]: Taking taylor expansion of K in K 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.087 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.087 * [taylor]: Taking taylor expansion of J in K 3.087 * [backup-simplify]: Simplify J into J 3.087 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.087 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.087 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.087 * [taylor]: Taking taylor expansion of 1 in K 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.087 * [taylor]: Taking taylor expansion of 1/4 in K 3.087 * [backup-simplify]: Simplify 1/4 into 1/4 3.087 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.087 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.087 * [taylor]: Taking taylor expansion of J in K 3.087 * [backup-simplify]: Simplify J into J 3.087 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.087 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.087 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.087 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.087 * [taylor]: Taking taylor expansion of -1/2 in K 3.087 * [backup-simplify]: Simplify -1/2 into -1/2 3.087 * [taylor]: Taking taylor expansion of K in K 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.088 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.088 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.088 * [taylor]: Taking taylor expansion of U in K 3.088 * [backup-simplify]: Simplify U into U 3.088 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.088 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.088 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.088 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.088 * [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))) 3.088 * [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)))) 3.089 * [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))))) 3.089 * [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)))))) 3.089 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.089 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.090 * [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 3.090 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.091 * [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 3.091 * [taylor]: Taking taylor expansion of 2 in J 3.091 * [backup-simplify]: Simplify 2 into 2 3.091 * [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 3.091 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.091 * [taylor]: Taking taylor expansion of -1/2 in J 3.091 * [backup-simplify]: Simplify -1/2 into -1/2 3.091 * [taylor]: Taking taylor expansion of K in J 3.091 * [backup-simplify]: Simplify K into K 3.091 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.091 * [taylor]: Taking taylor expansion of J in J 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.092 * [backup-simplify]: Simplify (- 0) into 0 3.092 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.092 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.092 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.092 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.092 * [taylor]: Taking taylor expansion of 1 in J 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.092 * [taylor]: Taking taylor expansion of 1/4 in J 3.092 * [backup-simplify]: Simplify 1/4 into 1/4 3.092 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.092 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.092 * [taylor]: Taking taylor expansion of J in J 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.092 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.092 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.092 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.092 * [taylor]: Taking taylor expansion of -1/2 in J 3.092 * [backup-simplify]: Simplify -1/2 into -1/2 3.092 * [taylor]: Taking taylor expansion of K in J 3.092 * [backup-simplify]: Simplify K into K 3.092 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.092 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.092 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.092 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.093 * [backup-simplify]: Simplify (- 0) into 0 3.093 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.093 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.093 * [taylor]: Taking taylor expansion of U in J 3.093 * [backup-simplify]: Simplify U into U 3.093 * [backup-simplify]: Simplify (* 1 1) into 1 3.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.093 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.093 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.093 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.094 * [backup-simplify]: Simplify (+ 1 0) into 1 3.094 * [backup-simplify]: Simplify (sqrt 1) into 1 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.094 * [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 3.095 * [taylor]: Taking taylor expansion of 2 in J 3.095 * [backup-simplify]: Simplify 2 into 2 3.095 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 3.095 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.095 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.095 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.095 * [taylor]: Taking taylor expansion of -1/2 in J 3.095 * [backup-simplify]: Simplify -1/2 into -1/2 3.095 * [taylor]: Taking taylor expansion of K in J 3.095 * [backup-simplify]: Simplify K into K 3.095 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.095 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.095 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.095 * [taylor]: Taking taylor expansion of J in J 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.095 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.095 * [backup-simplify]: Simplify (- 0) into 0 3.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.095 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.095 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.095 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.095 * [taylor]: Taking taylor expansion of 1 in J 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.095 * [taylor]: Taking taylor expansion of 1/4 in J 3.095 * [backup-simplify]: Simplify 1/4 into 1/4 3.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.095 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.095 * [taylor]: Taking taylor expansion of J in J 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.096 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.096 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.096 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.096 * [taylor]: Taking taylor expansion of -1/2 in J 3.096 * [backup-simplify]: Simplify -1/2 into -1/2 3.096 * [taylor]: Taking taylor expansion of K in J 3.096 * [backup-simplify]: Simplify K into K 3.096 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.096 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.096 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.096 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.096 * [backup-simplify]: Simplify (- 0) into 0 3.096 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.096 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.096 * [taylor]: Taking taylor expansion of U in J 3.096 * [backup-simplify]: Simplify U into U 3.096 * [backup-simplify]: Simplify (* 1 1) into 1 3.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.097 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.097 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.097 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.097 * [backup-simplify]: Simplify (+ 1 0) into 1 3.097 * [backup-simplify]: Simplify (sqrt 1) into 1 3.098 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.098 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.098 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.098 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.098 * [taylor]: Taking taylor expansion of 2 in K 3.098 * [backup-simplify]: Simplify 2 into 2 3.098 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.098 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.098 * [taylor]: Taking taylor expansion of -1/2 in K 3.098 * [backup-simplify]: Simplify -1/2 into -1/2 3.098 * [taylor]: Taking taylor expansion of K in K 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.099 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.099 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.099 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 3.099 * [taylor]: Taking taylor expansion of 2 in U 3.099 * [backup-simplify]: Simplify 2 into 2 3.099 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.099 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.099 * [taylor]: Taking taylor expansion of -1/2 in U 3.099 * [backup-simplify]: Simplify -1/2 into -1/2 3.099 * [taylor]: Taking taylor expansion of K in U 3.099 * [backup-simplify]: Simplify K into K 3.099 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.099 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.099 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.099 * [backup-simplify]: Simplify (+ 0) into 0 3.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.101 * [backup-simplify]: Simplify (- 0) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.103 * [taylor]: Taking taylor expansion of 0 in K 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [taylor]: Taking taylor expansion of 0 in U 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.103 * [taylor]: Taking taylor expansion of 0 in U 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.103 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.104 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.104 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.104 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.104 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.104 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.106 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.109 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.109 * [backup-simplify]: Simplify (- 0) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 3.112 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 3.112 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 3.112 * [taylor]: Taking taylor expansion of 1/4 in K 3.112 * [backup-simplify]: Simplify 1/4 into 1/4 3.112 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 3.112 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 3.112 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.112 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.112 * [taylor]: Taking taylor expansion of -1/2 in K 3.112 * [backup-simplify]: Simplify -1/2 into -1/2 3.112 * [taylor]: Taking taylor expansion of K in K 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.112 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.112 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.112 * [taylor]: Taking taylor expansion of U in K 3.112 * [backup-simplify]: Simplify U into U 3.112 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.112 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 3.112 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 3.113 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 3.113 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 3.113 * [taylor]: Taking taylor expansion of 1/4 in U 3.113 * [backup-simplify]: Simplify 1/4 into 1/4 3.113 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 3.113 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.113 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.113 * [taylor]: Taking taylor expansion of -1/2 in U 3.113 * [backup-simplify]: Simplify -1/2 into -1/2 3.113 * [taylor]: Taking taylor expansion of K in U 3.113 * [backup-simplify]: Simplify K into K 3.113 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.113 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.113 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.113 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.113 * [taylor]: Taking taylor expansion of U in U 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.113 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.113 * [backup-simplify]: Simplify (- 0) into 0 3.113 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.114 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 3.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.114 * [backup-simplify]: Simplify (+ 0) into 0 3.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.116 * [backup-simplify]: Simplify (- 0) into 0 3.116 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [taylor]: Taking taylor expansion of 0 in U 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.117 * [taylor]: Taking taylor expansion of 0 in U 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ 0) into 0 3.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.119 * [backup-simplify]: Simplify (- 0) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.120 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.120 * [backup-simplify]: Simplify (+ 0) into 0 3.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.121 * [backup-simplify]: Simplify (- 0) into 0 3.122 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.122 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 3.125 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.132 * [taylor]: Taking taylor expansion of 0 in K 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [taylor]: Taking taylor expansion of 0 in U 3.132 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.133 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 3.134 * [taylor]: Taking taylor expansion of 0 in U 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [taylor]: Taking taylor expansion of 0 in U 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.135 * [taylor]: Taking taylor expansion of 0 in U 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.139 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.140 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.141 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.141 * [backup-simplify]: Simplify (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.141 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 3.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.141 * [taylor]: Taking taylor expansion of 1/4 in J 3.141 * [backup-simplify]: Simplify 1/4 into 1/4 3.141 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.141 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.141 * [taylor]: Taking taylor expansion of U in J 3.141 * [backup-simplify]: Simplify U into U 3.141 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.141 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.141 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.141 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.141 * [taylor]: Taking taylor expansion of 1/2 in J 3.141 * [backup-simplify]: Simplify 1/2 into 1/2 3.141 * [taylor]: Taking taylor expansion of K in J 3.141 * [backup-simplify]: Simplify K into K 3.141 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.141 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.141 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.142 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.142 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.142 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.142 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.142 * [taylor]: Taking taylor expansion of J in J 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.142 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.143 * [backup-simplify]: Simplify (* 1 1) into 1 3.143 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.143 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.143 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.143 * [taylor]: Taking taylor expansion of 1/4 in K 3.143 * [backup-simplify]: Simplify 1/4 into 1/4 3.143 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.143 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.143 * [taylor]: Taking taylor expansion of U in K 3.143 * [backup-simplify]: Simplify U into U 3.143 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.143 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.143 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.143 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.143 * [taylor]: Taking taylor expansion of 1/2 in K 3.143 * [backup-simplify]: Simplify 1/2 into 1/2 3.143 * [taylor]: Taking taylor expansion of K in K 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.145 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.145 * [taylor]: Taking taylor expansion of J in K 3.145 * [backup-simplify]: Simplify J into J 3.145 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.145 * [backup-simplify]: Simplify (* 1 1) into 1 3.145 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.145 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.145 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.145 * [taylor]: Taking taylor expansion of 1/4 in U 3.145 * [backup-simplify]: Simplify 1/4 into 1/4 3.145 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.145 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.145 * [taylor]: Taking taylor expansion of U in U 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.146 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.146 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.146 * [taylor]: Taking taylor expansion of 1/2 in U 3.146 * [backup-simplify]: Simplify 1/2 into 1/2 3.146 * [taylor]: Taking taylor expansion of K in U 3.146 * [backup-simplify]: Simplify K into K 3.146 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.146 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.146 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.146 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.146 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.147 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.147 * [taylor]: Taking taylor expansion of J in U 3.147 * [backup-simplify]: Simplify J into J 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.147 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.147 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.148 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.148 * [taylor]: Taking taylor expansion of 1/4 in U 3.148 * [backup-simplify]: Simplify 1/4 into 1/4 3.148 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.148 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.148 * [taylor]: Taking taylor expansion of U in U 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.148 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.148 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.148 * [taylor]: Taking taylor expansion of 1/2 in U 3.148 * [backup-simplify]: Simplify 1/2 into 1/2 3.148 * [taylor]: Taking taylor expansion of K in U 3.148 * [backup-simplify]: Simplify K into K 3.148 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.148 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.148 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.148 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.148 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.149 * [backup-simplify]: Simplify (- 0) into 0 3.149 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.149 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.149 * [taylor]: Taking taylor expansion of J in U 3.149 * [backup-simplify]: Simplify J into J 3.149 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.149 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.149 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.150 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.150 * [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))) 3.150 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.150 * [taylor]: Taking taylor expansion of 1/4 in K 3.150 * [backup-simplify]: Simplify 1/4 into 1/4 3.150 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.150 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.150 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.150 * [taylor]: Taking taylor expansion of 1/2 in K 3.150 * [backup-simplify]: Simplify 1/2 into 1/2 3.150 * [taylor]: Taking taylor expansion of K in K 3.150 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify 1 into 1 3.151 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.151 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.151 * [taylor]: Taking taylor expansion of J in K 3.151 * [backup-simplify]: Simplify J into J 3.152 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.152 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.152 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 3.152 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 3.152 * [taylor]: Taking taylor expansion of 1/4 in J 3.152 * [backup-simplify]: Simplify 1/4 into 1/4 3.152 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.152 * [taylor]: Taking taylor expansion of J in J 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.153 * [backup-simplify]: Simplify 1/4 into 1/4 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.154 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.154 * [backup-simplify]: Simplify (+ 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.156 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.157 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 3.158 * [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 3.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 3.158 * [taylor]: Taking taylor expansion of 0 in K 3.158 * [backup-simplify]: Simplify 0 into 0 3.159 * [taylor]: Taking taylor expansion of 0 in J 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.159 * [backup-simplify]: Simplify (+ 0) into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.160 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 3.160 * [taylor]: Taking taylor expansion of 0 in J 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.163 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.166 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.166 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.167 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 3.168 * [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 3.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 3.169 * [taylor]: Taking taylor expansion of 0 in K 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [taylor]: Taking taylor expansion of 0 in J 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [taylor]: Taking taylor expansion of 0 in J 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.170 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 3.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 3.171 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 3.171 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 3.171 * [taylor]: Taking taylor expansion of 1/16 in J 3.171 * [backup-simplify]: Simplify 1/16 into 1/16 3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 3.171 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.171 * [taylor]: Taking taylor expansion of J in J 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (* 1 1) into 1 3.172 * [backup-simplify]: Simplify (/ 1 1) into 1 3.172 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 3.172 * [backup-simplify]: Simplify 1/16 into 1/16 3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.178 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 3.179 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 3.180 * [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 3.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 3.181 * [taylor]: Taking taylor expansion of 0 in K 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [taylor]: Taking taylor expansion of 0 in J 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [taylor]: Taking taylor expansion of 0 in J 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [taylor]: Taking taylor expansion of 0 in J 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 3.185 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 3.185 * [taylor]: Taking taylor expansion of 0 in J 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.189 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 3.190 * [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 3.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 3.194 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.194 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.195 * [backup-simplify]: Simplify (- 0) into 0 3.195 * [backup-simplify]: Simplify (+ 0 0) into 0 3.196 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 3.197 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 3.197 * [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 3.198 * [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 3.199 * [taylor]: Taking taylor expansion of 0 in K 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [taylor]: Taking taylor expansion of 0 in J 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [taylor]: Taking taylor expansion of 0 in J 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [taylor]: Taking taylor expansion of 0 in J 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [taylor]: Taking taylor expansion of 0 in J 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 3.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.202 * [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 3.203 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 3.204 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 3.204 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 3.204 * [taylor]: Taking taylor expansion of 1/96 in J 3.204 * [backup-simplify]: Simplify 1/96 into 1/96 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 3.204 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.204 * [taylor]: Taking taylor expansion of J in J 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (* 1 1) into 1 3.205 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 3.205 * [backup-simplify]: Simplify 1/96 into 1/96 3.206 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 3.206 * [backup-simplify]: Simplify (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.206 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 3.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.206 * [taylor]: Taking taylor expansion of 1/4 in J 3.206 * [backup-simplify]: Simplify 1/4 into 1/4 3.206 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.206 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.206 * [taylor]: Taking taylor expansion of J in J 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.206 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.206 * [taylor]: Taking taylor expansion of U in J 3.206 * [backup-simplify]: Simplify U into U 3.206 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.206 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.206 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.207 * [taylor]: Taking taylor expansion of 1/2 in J 3.207 * [backup-simplify]: Simplify 1/2 into 1/2 3.207 * [taylor]: Taking taylor expansion of K in J 3.207 * [backup-simplify]: Simplify K into K 3.207 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.207 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.207 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.207 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.207 * [backup-simplify]: Simplify (- 0) into 0 3.207 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.207 * [backup-simplify]: Simplify (* 1 1) into 1 3.207 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.208 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.208 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.208 * [taylor]: Taking taylor expansion of 1/4 in K 3.208 * [backup-simplify]: Simplify 1/4 into 1/4 3.208 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.208 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.208 * [taylor]: Taking taylor expansion of J in K 3.208 * [backup-simplify]: Simplify J into J 3.208 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.208 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.208 * [taylor]: Taking taylor expansion of U in K 3.208 * [backup-simplify]: Simplify U into U 3.208 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.208 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.208 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.208 * [taylor]: Taking taylor expansion of 1/2 in K 3.208 * [backup-simplify]: Simplify 1/2 into 1/2 3.208 * [taylor]: Taking taylor expansion of K in K 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.208 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.208 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.208 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.209 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.209 * [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))) 3.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.209 * [taylor]: Taking taylor expansion of 1/4 in U 3.209 * [backup-simplify]: Simplify 1/4 into 1/4 3.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.209 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.209 * [taylor]: Taking taylor expansion of J in U 3.209 * [backup-simplify]: Simplify J into J 3.209 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.209 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.209 * [taylor]: Taking taylor expansion of U in U 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.209 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.209 * [taylor]: Taking taylor expansion of 1/2 in U 3.209 * [backup-simplify]: Simplify 1/2 into 1/2 3.209 * [taylor]: Taking taylor expansion of K in U 3.209 * [backup-simplify]: Simplify K into K 3.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.209 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.209 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.210 * [backup-simplify]: Simplify (- 0) into 0 3.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.210 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.210 * [backup-simplify]: Simplify (* 1 1) into 1 3.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.210 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.210 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.210 * [taylor]: Taking taylor expansion of 1/4 in U 3.210 * [backup-simplify]: Simplify 1/4 into 1/4 3.210 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.210 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.210 * [taylor]: Taking taylor expansion of J in U 3.210 * [backup-simplify]: Simplify J into J 3.210 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.210 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.210 * [taylor]: Taking taylor expansion of U in U 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.211 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.211 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.211 * [taylor]: Taking taylor expansion of 1/2 in U 3.211 * [backup-simplify]: Simplify 1/2 into 1/2 3.211 * [taylor]: Taking taylor expansion of K in U 3.211 * [backup-simplify]: Simplify K into K 3.211 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.211 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.211 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.211 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.211 * [backup-simplify]: Simplify (- 0) into 0 3.211 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.211 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.212 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.212 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.212 * [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))) 3.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 3.212 * [taylor]: Taking taylor expansion of 1/4 in K 3.212 * [backup-simplify]: Simplify 1/4 into 1/4 3.212 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 3.212 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.212 * [taylor]: Taking taylor expansion of J in K 3.212 * [backup-simplify]: Simplify J into J 3.212 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.212 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.212 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.212 * [taylor]: Taking taylor expansion of 1/2 in K 3.212 * [backup-simplify]: Simplify 1/2 into 1/2 3.212 * [taylor]: Taking taylor expansion of K in K 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.212 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.213 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.213 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.213 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.213 * [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))) 3.213 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 3.213 * [taylor]: Taking taylor expansion of 1/4 in J 3.213 * [backup-simplify]: Simplify 1/4 into 1/4 3.213 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 3.213 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.213 * [taylor]: Taking taylor expansion of J in J 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.213 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.213 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.213 * [taylor]: Taking taylor expansion of 1/2 in J 3.213 * [backup-simplify]: Simplify 1/2 into 1/2 3.213 * [taylor]: Taking taylor expansion of K in J 3.213 * [backup-simplify]: Simplify K into K 3.213 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.213 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.213 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.213 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.213 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.214 * [backup-simplify]: Simplify (- 0) into 0 3.214 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.214 * [backup-simplify]: Simplify (* 1 1) into 1 3.214 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.214 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 3.214 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.214 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.214 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.215 * [backup-simplify]: Simplify (+ 0) into 0 3.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.216 * [backup-simplify]: Simplify (- 0) into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.217 * [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 3.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.218 * [taylor]: Taking taylor expansion of 0 in K 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [taylor]: Taking taylor expansion of 0 in J 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.218 * [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 3.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.219 * [taylor]: Taking taylor expansion of 0 in J 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.220 * [backup-simplify]: Simplify (+ 0) into 0 3.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.221 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ 0 0) into 0 3.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.222 * [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 3.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 3.222 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.224 * [backup-simplify]: Simplify (- 0) into 0 3.225 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 3.226 * [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 3.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.227 * [taylor]: Taking taylor expansion of 0 in K 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [taylor]: Taking taylor expansion of 0 in J 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [taylor]: Taking taylor expansion of 0 in J 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.228 * [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 3.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.229 * [taylor]: Taking taylor expansion of 0 in J 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.230 * [backup-simplify]: Simplify (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.230 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 3.230 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.230 * [taylor]: Taking taylor expansion of 1/4 in J 3.230 * [backup-simplify]: Simplify 1/4 into 1/4 3.230 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.230 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.230 * [taylor]: Taking taylor expansion of J in J 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.230 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.230 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.230 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.230 * [taylor]: Taking taylor expansion of -1/2 in J 3.230 * [backup-simplify]: Simplify -1/2 into -1/2 3.230 * [taylor]: Taking taylor expansion of K in J 3.230 * [backup-simplify]: Simplify K into K 3.230 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.230 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.230 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.230 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.230 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.230 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.230 * [taylor]: Taking taylor expansion of U in J 3.230 * [backup-simplify]: Simplify U into U 3.231 * [backup-simplify]: Simplify (* 1 1) into 1 3.231 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.231 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.231 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.231 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.231 * [taylor]: Taking taylor expansion of 1/4 in K 3.231 * [backup-simplify]: Simplify 1/4 into 1/4 3.231 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.231 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.231 * [taylor]: Taking taylor expansion of J in K 3.231 * [backup-simplify]: Simplify J into J 3.231 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.231 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.231 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.231 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.231 * [taylor]: Taking taylor expansion of -1/2 in K 3.231 * [backup-simplify]: Simplify -1/2 into -1/2 3.231 * [taylor]: Taking taylor expansion of K in K 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.232 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.232 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.232 * [taylor]: Taking taylor expansion of U in K 3.232 * [backup-simplify]: Simplify U into U 3.232 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.232 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.232 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.232 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.232 * [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))) 3.232 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.232 * [taylor]: Taking taylor expansion of 1/4 in U 3.232 * [backup-simplify]: Simplify 1/4 into 1/4 3.232 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.232 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.232 * [taylor]: Taking taylor expansion of J in U 3.232 * [backup-simplify]: Simplify J into J 3.232 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.232 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.232 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.232 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.232 * [taylor]: Taking taylor expansion of -1/2 in U 3.232 * [backup-simplify]: Simplify -1/2 into -1/2 3.232 * [taylor]: Taking taylor expansion of K in U 3.232 * [backup-simplify]: Simplify K into K 3.232 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.232 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.233 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.233 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.233 * [backup-simplify]: Simplify (- 0) into 0 3.233 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.233 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.233 * [taylor]: Taking taylor expansion of U in U 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.234 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.234 * [taylor]: Taking taylor expansion of 1/4 in U 3.234 * [backup-simplify]: Simplify 1/4 into 1/4 3.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.234 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.234 * [taylor]: Taking taylor expansion of J in U 3.234 * [backup-simplify]: Simplify J into J 3.234 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.234 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.234 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.234 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.234 * [taylor]: Taking taylor expansion of -1/2 in U 3.234 * [backup-simplify]: Simplify -1/2 into -1/2 3.234 * [taylor]: Taking taylor expansion of K in U 3.234 * [backup-simplify]: Simplify K into K 3.234 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.234 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.234 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.234 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.234 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.234 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.234 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.234 * [taylor]: Taking taylor expansion of U in U 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.235 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.235 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.235 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.235 * [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))) 3.235 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 3.235 * [taylor]: Taking taylor expansion of 1/4 in K 3.235 * [backup-simplify]: Simplify 1/4 into 1/4 3.235 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 3.235 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.235 * [taylor]: Taking taylor expansion of J in K 3.235 * [backup-simplify]: Simplify J into J 3.235 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.235 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.235 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.235 * [taylor]: Taking taylor expansion of -1/2 in K 3.235 * [backup-simplify]: Simplify -1/2 into -1/2 3.235 * [taylor]: Taking taylor expansion of K in K 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.236 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.236 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.236 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.236 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.236 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.236 * [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))) 3.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 3.236 * [taylor]: Taking taylor expansion of 1/4 in J 3.236 * [backup-simplify]: Simplify 1/4 into 1/4 3.236 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 3.236 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.236 * [taylor]: Taking taylor expansion of J in J 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 1 into 1 3.236 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.236 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.236 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.236 * [taylor]: Taking taylor expansion of -1/2 in J 3.236 * [backup-simplify]: Simplify -1/2 into -1/2 3.236 * [taylor]: Taking taylor expansion of K in J 3.236 * [backup-simplify]: Simplify K into K 3.236 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.236 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.237 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.237 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.237 * [backup-simplify]: Simplify (- 0) into 0 3.237 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.237 * [backup-simplify]: Simplify (* 1 1) into 1 3.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.237 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 3.238 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.238 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.238 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.238 * [backup-simplify]: Simplify (+ 0) into 0 3.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.240 * [backup-simplify]: Simplify (- 0) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.241 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.241 * [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 3.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.242 * [taylor]: Taking taylor expansion of 0 in K 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [taylor]: Taking taylor expansion of 0 in J 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.242 * [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 3.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.242 * [taylor]: Taking taylor expansion of 0 in J 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify (+ 0) into 0 3.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.245 * [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 3.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.249 * [backup-simplify]: Simplify (- 0) into 0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.250 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.250 * [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 3.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 3.251 * [taylor]: Taking taylor expansion of 0 in K 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [taylor]: Taking taylor expansion of 0 in J 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [taylor]: Taking taylor expansion of 0 in J 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.252 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 3.253 * [taylor]: Taking taylor expansion of 0 in J 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.253 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1) 3.253 * [backup-simplify]: Simplify (/ U (cos (/ K 2))) into (/ U (cos (* 1/2 K))) 3.253 * [approximate]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in (U K) around 0 3.253 * [taylor]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in K 3.253 * [taylor]: Taking taylor expansion of U in K 3.253 * [backup-simplify]: Simplify U into U 3.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.253 * [taylor]: Taking taylor expansion of 1/2 in K 3.253 * [backup-simplify]: Simplify 1/2 into 1/2 3.253 * [taylor]: Taking taylor expansion of K in K 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.254 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.254 * [backup-simplify]: Simplify (/ U 1) into U 3.254 * [taylor]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in U 3.254 * [taylor]: Taking taylor expansion of U in U 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.254 * [taylor]: Taking taylor expansion of 1/2 in U 3.254 * [backup-simplify]: Simplify 1/2 into 1/2 3.254 * [taylor]: Taking taylor expansion of K in U 3.254 * [backup-simplify]: Simplify K into K 3.254 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.254 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.254 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.254 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.255 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 3.255 * [taylor]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in U 3.255 * [taylor]: Taking taylor expansion of U in U 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.255 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.255 * [taylor]: Taking taylor expansion of 1/2 in U 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [taylor]: Taking taylor expansion of K in U 3.255 * [backup-simplify]: Simplify K into K 3.255 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.255 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.255 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.255 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.255 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.255 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 3.255 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 3.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.255 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.255 * [taylor]: Taking taylor expansion of 1/2 in K 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [taylor]: Taking taylor expansion of K in K 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.256 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.256 * [backup-simplify]: Simplify (/ 1 1) into 1 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (+ 0) into 0 3.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.258 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.258 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 3.259 * [taylor]: Taking taylor expansion of 0 in K 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (+ 0) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.261 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.262 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 3.262 * [taylor]: Taking taylor expansion of 0 in K 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/8 3.264 * [backup-simplify]: Simplify 1/8 into 1/8 3.264 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 3.268 * [taylor]: Taking taylor expansion of 0 in K 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/8 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.271 * [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 3.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 3.273 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.274 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.274 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.275 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 3.275 * [taylor]: Taking taylor expansion of 0 in K 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow K 2) U)) (* 1 (* 1 U))) into (+ (* 1/8 (* (pow K 2) U)) U) 3.275 * [backup-simplify]: Simplify (/ (/ 1 U) (cos (/ (/ 1 K) 2))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.275 * [approximate]: Taking taylor expansion of (/ 1 (* U (cos (/ 1/2 K)))) in (U K) around 0 3.275 * [taylor]: Taking taylor expansion of (/ 1 (* U (cos (/ 1/2 K)))) in K 3.275 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.275 * [taylor]: Taking taylor expansion of U in K 3.275 * [backup-simplify]: Simplify U into U 3.275 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.275 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.275 * [taylor]: Taking taylor expansion of 1/2 in K 3.275 * [backup-simplify]: Simplify 1/2 into 1/2 3.275 * [taylor]: Taking taylor expansion of K in K 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.276 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.276 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.276 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.276 * [taylor]: Taking taylor expansion of (/ 1 (* U (cos (/ 1/2 K)))) in U 3.276 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.276 * [taylor]: Taking taylor expansion of U in U 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.276 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.276 * [taylor]: Taking taylor expansion of 1/2 in U 3.276 * [backup-simplify]: Simplify 1/2 into 1/2 3.276 * [taylor]: Taking taylor expansion of K in U 3.276 * [backup-simplify]: Simplify K into K 3.276 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.276 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.276 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.276 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.276 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.276 * [backup-simplify]: Simplify (- 0) into 0 3.277 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.277 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.277 * [backup-simplify]: Simplify (+ 0) into 0 3.277 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.278 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.279 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.279 * [taylor]: Taking taylor expansion of (/ 1 (* U (cos (/ 1/2 K)))) in U 3.279 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.279 * [taylor]: Taking taylor expansion of U in U 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 1 into 1 3.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.279 * [taylor]: Taking taylor expansion of 1/2 in U 3.279 * [backup-simplify]: Simplify 1/2 into 1/2 3.279 * [taylor]: Taking taylor expansion of K in U 3.279 * [backup-simplify]: Simplify K into K 3.279 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.279 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.279 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.280 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.280 * [backup-simplify]: Simplify (+ 0) into 0 3.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.280 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.281 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.282 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.282 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1/2 K))) in K 3.282 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.282 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.282 * [taylor]: Taking taylor expansion of 1/2 in K 3.282 * [backup-simplify]: Simplify 1/2 into 1/2 3.282 * [taylor]: Taking taylor expansion of K in K 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.282 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.282 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.282 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.283 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.286 * [backup-simplify]: Simplify (- 0) into 0 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.287 * [taylor]: Taking taylor expansion of 0 in K 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.290 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.290 * [backup-simplify]: Simplify (- 0) into 0 3.290 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.291 * [taylor]: Taking taylor expansion of 0 in K 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.293 * [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 3.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.295 * [backup-simplify]: Simplify (- 0) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.296 * [taylor]: Taking taylor expansion of 0 in K 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (* (/ 1 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 U)))) into (/ U (cos (* 1/2 K))) 3.297 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) into (/ -1 (* (cos (/ -1/2 K)) U)) 3.297 * [approximate]: Taking taylor expansion of (/ -1 (* (cos (/ -1/2 K)) U)) in (U K) around 0 3.297 * [taylor]: Taking taylor expansion of (/ -1 (* (cos (/ -1/2 K)) U)) in K 3.297 * [taylor]: Taking taylor expansion of -1 in K 3.297 * [backup-simplify]: Simplify -1 into -1 3.297 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.297 * [taylor]: Taking taylor expansion of -1/2 in K 3.297 * [backup-simplify]: Simplify -1/2 into -1/2 3.297 * [taylor]: Taking taylor expansion of K in K 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.297 * [taylor]: Taking taylor expansion of U in K 3.297 * [backup-simplify]: Simplify U into U 3.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.297 * [backup-simplify]: Simplify (/ -1 (* (cos (/ -1/2 K)) U)) into (/ -1 (* (cos (/ -1/2 K)) U)) 3.297 * [taylor]: Taking taylor expansion of (/ -1 (* (cos (/ -1/2 K)) U)) in U 3.297 * [taylor]: Taking taylor expansion of -1 in U 3.297 * [backup-simplify]: Simplify -1 into -1 3.297 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.297 * [taylor]: Taking taylor expansion of -1/2 in U 3.297 * [backup-simplify]: Simplify -1/2 into -1/2 3.297 * [taylor]: Taking taylor expansion of K in U 3.297 * [backup-simplify]: Simplify K into K 3.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.298 * [taylor]: Taking taylor expansion of U in U 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.298 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.298 * [backup-simplify]: Simplify (- 0) into 0 3.298 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.299 * [backup-simplify]: Simplify (+ 0) into 0 3.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.301 * [backup-simplify]: Simplify (- 0) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.302 * [backup-simplify]: Simplify (/ -1 (cos (/ -1/2 K))) into (/ -1 (cos (/ -1/2 K))) 3.302 * [taylor]: Taking taylor expansion of (/ -1 (* (cos (/ -1/2 K)) U)) in U 3.302 * [taylor]: Taking taylor expansion of -1 in U 3.302 * [backup-simplify]: Simplify -1 into -1 3.302 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.302 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.302 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.302 * [taylor]: Taking taylor expansion of -1/2 in U 3.302 * [backup-simplify]: Simplify -1/2 into -1/2 3.302 * [taylor]: Taking taylor expansion of K in U 3.302 * [backup-simplify]: Simplify K into K 3.302 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.302 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.302 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.302 * [taylor]: Taking taylor expansion of U in U 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.302 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.302 * [backup-simplify]: Simplify (- 0) into 0 3.303 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.303 * [backup-simplify]: Simplify (+ 0) into 0 3.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.305 * [backup-simplify]: Simplify (/ -1 (cos (/ -1/2 K))) into (/ -1 (cos (/ -1/2 K))) 3.305 * [taylor]: Taking taylor expansion of (/ -1 (cos (/ -1/2 K))) in K 3.305 * [taylor]: Taking taylor expansion of -1 in K 3.305 * [backup-simplify]: Simplify -1 into -1 3.305 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.305 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.305 * [taylor]: Taking taylor expansion of -1/2 in K 3.305 * [backup-simplify]: Simplify -1/2 into -1/2 3.305 * [taylor]: Taking taylor expansion of K in K 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.306 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.306 * [backup-simplify]: Simplify (/ -1 (cos (/ -1/2 K))) into (/ -1 (cos (/ -1/2 K))) 3.306 * [backup-simplify]: Simplify (/ -1 (cos (/ -1/2 K))) into (/ -1 (cos (/ -1/2 K))) 3.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.309 * [backup-simplify]: Simplify (- 0) into 0 3.309 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.310 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.310 * [taylor]: Taking taylor expansion of 0 in K 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.314 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.315 * [backup-simplify]: Simplify (- 0) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.316 * [taylor]: Taking taylor expansion of 0 in K 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.318 * [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 3.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.322 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.323 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.323 * [taylor]: Taking taylor expansion of 0 in K 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (* (/ -1 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- U))))) into (/ U (cos (* 1/2 K))) 3.323 * * * [progress]: simplifying candidates 3.323 * * * * [progress]: [ 1 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 2 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 3 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 4 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 5 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 6 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 7 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 8 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 9 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 10 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 11 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 12 / 202 ] simplifiying candidate # 3.323 * * * * [progress]: [ 13 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 14 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 15 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 16 / 202 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))> 3.324 * * * * [progress]: [ 17 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 18 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 19 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 20 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 21 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 22 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 23 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 24 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 25 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 26 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 27 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 28 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 29 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 30 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 31 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 32 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 33 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 34 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 35 / 202 ] simplifiying candidate # 3.324 * * * * [progress]: [ 36 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 37 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 38 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 39 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 40 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 41 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 42 / 202 ] simplifiying candidate #real (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))> 3.325 * * * * [progress]: [ 43 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 44 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 45 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 46 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 47 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 48 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 49 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 50 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 51 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 52 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 53 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 54 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 55 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 56 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 57 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 58 / 202 ] simplifiying candidate # 3.325 * * * * [progress]: [ 59 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 60 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 61 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 62 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 63 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 64 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 65 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 66 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 67 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 68 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 69 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 70 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 71 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 72 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 73 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 74 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 75 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 76 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 77 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 78 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 79 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 80 / 202 ] simplifiying candidate # 3.326 * * * * [progress]: [ 81 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 82 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 83 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 84 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 85 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 86 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 87 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 88 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 89 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 90 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 91 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 92 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 93 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 94 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 95 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 96 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 97 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 98 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 99 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 100 / 202 ] simplifiying candidate # 3.327 * * * * [progress]: [ 101 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 102 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 103 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 104 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 105 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 106 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 107 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 108 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 109 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 110 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 111 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 112 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 113 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 114 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: [ 115 / 202 ] simplifiying candidate # 3.328 * * * * [progress]: 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simplifiying candidate # 3.329 * * * * [progress]: [ 132 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 133 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 134 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 135 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 136 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 137 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 138 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 139 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 140 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 141 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 142 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 143 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 144 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 145 / 202 ] simplifiying candidate # 3.329 * * * * [progress]: [ 146 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 147 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 148 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 149 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 150 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 151 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 152 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 153 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 154 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 155 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 156 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 157 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 158 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 159 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 160 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 161 / 202 ] simplifiying candidate #real (real->posit16 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))))> 3.330 * * * * [progress]: [ 162 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 163 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 164 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 165 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 166 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 167 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 168 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 169 / 202 ] simplifiying candidate # 3.330 * * * * [progress]: [ 170 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 171 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 172 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 173 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 174 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 175 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 176 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 177 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 178 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 179 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 180 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 181 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 182 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 183 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 184 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 185 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 186 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 187 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 188 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 189 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 190 / 202 ] simplifiying candidate #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> 3.331 * * * * [progress]: [ 191 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 192 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 193 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 194 / 202 ] simplifiying candidate # 3.331 * * * * [progress]: [ 195 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 196 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 197 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 198 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 199 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 200 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 201 / 202 ] simplifiying candidate # 3.332 * * * * [progress]: [ 202 / 202 ] simplifiying candidate # 3.334 * [simplify]: Simplifying: (log (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (exp (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 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enodes 5.588 * * [simplify]: iteration complete: 5000 enodes 5.588 * * [simplify]: Extracting #0: cost 147 inf + 0 5.591 * * [simplify]: Extracting #1: cost 1269 inf + 88 5.598 * * [simplify]: Extracting #2: cost 1946 inf + 3460 5.613 * * [simplify]: Extracting #3: cost 1866 inf + 14467 5.625 * * [simplify]: Extracting #4: cost 1818 inf + 21583 5.656 * * [simplify]: Extracting #5: cost 1423 inf + 120660 5.738 * * [simplify]: Extracting #6: cost 379 inf + 504330 5.890 * * [simplify]: Extracting #7: cost 117 inf + 598520 6.040 * * [simplify]: Extracting #8: cost 42 inf + 631695 6.213 * * [simplify]: Extracting #9: cost 0 inf + 653397 6.362 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) 1))) (exp (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) 1))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U 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(/ K 2)))) 2)) (* (/ (sqrt (/ U (cos (/ K 2)))) J) (/ (sqrt (/ U (cos (/ K 2)))) J)) (* (/ (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ 2 (/ (cbrt U) (cbrt (cos (/ K 2)))))) (/ (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ 2 (/ (cbrt U) (cbrt (cos (/ K 2))))))) (* (/ (/ (cbrt U) J) (cbrt (cos (/ K 2)))) (/ (/ (cbrt U) J) (cbrt (cos (/ K 2))))) (* (/ (/ (* (cbrt U) (cbrt U)) 2) (sqrt (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) 2) (sqrt (cos (/ K 2))))) (* (/ (cbrt U) (* J (sqrt (cos (/ K 2))))) (/ (cbrt U) (* J (sqrt (cos (/ K 2)))))) (* (/ (cbrt U) (/ 2 (cbrt U))) (/ (cbrt U) (/ 2 (cbrt U)))) (* (/ (cbrt U) (* J (cos (/ K 2)))) (/ (cbrt U) (* J (cos (/ K 2))))) (* (/ (/ (sqrt U) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ (sqrt U) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (/ (sqrt U) (* J (cbrt (cos (/ K 2))))) (/ (sqrt U) (* J (cbrt (cos (/ K 2)))))) (* (/ (/ (sqrt U) (sqrt (cos (/ K 2)))) 2) (/ (/ (sqrt U) (sqrt (cos (/ K 2)))) 2)) (* (/ (/ (sqrt U) J) (sqrt (cos (/ K 2)))) (/ (/ (sqrt U) J) (sqrt (cos (/ K 2))))) (* (/ (sqrt U) 2) (/ (sqrt U) 2)) (* (/ (/ (sqrt U) J) (cos (/ K 2))) (/ (/ (sqrt U) J) (cos (/ K 2)))) (* (/ 1/2 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ 1/2 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (/ U (* J (cbrt (cos (/ K 2))))) (/ U (* J (cbrt (cos (/ K 2)))))) (* (/ 1/2 (sqrt (cos (/ K 2)))) (/ 1/2 (sqrt (cos (/ K 2))))) (* (/ (/ U J) (sqrt (cos (/ K 2)))) (/ (/ U J) (sqrt (cos (/ K 2))))) 1/4 (* (/ U (* J (cos (/ K 2)))) (/ U (* J (cos (/ K 2))))) 1/4 (* (/ U (* J (cos (/ K 2)))) (/ U (* J (cos (/ K 2))))) (* (/ U 2) (/ U 2)) (* (/ (/ 1 J) (cos (/ K 2))) (/ (/ 1 J) (cos (/ K 2)))) 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)) 2 (* (* (cbrt (/ (/ U (cos (/ K 2))) (* J 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (cbrt (/ (/ U (cos (/ K 2))) (* J 2)))) (* (sqrt (/ (/ U (cos (/ K 2))) (* J 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (/ (* (/ (/ U (cos (/ K 2))) (* J 2)) (* (cbrt (/ U (cos (/ K 2)))) (cbrt (/ U (cos (/ K 2)))))) 2) (* (/ (/ U (cos (/ K 2))) 2) (/ (/ (sqrt (/ U (cos (/ K 2)))) 2) J)) (/ (* (/ (* (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* J 2)) (/ (cbrt U) (cbrt (cos (/ K 2))))) 2) (* (/ (/ (* (cbrt U) (cbrt U)) 2) (sqrt (cos (/ K 2)))) (/ (/ U (cos (/ K 2))) (* J 2))) (/ (/ (* U (/ (cbrt U) (/ 2 (cbrt U)))) (cos (/ K 2))) (* J 2)) (/ (/ (/ (* U (/ (/ (sqrt U) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) J) 2) (/ (* (/ (/ U (cos (/ K 2))) (* J 2)) (sqrt U)) (* (sqrt (cos (/ K 2))) 2)) (/ (/ (/ (* U (/ (sqrt U) 2)) (cos (/ K 2))) J) 2) (/ (/ (/ (/ U (cos (/ K 2))) (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 2) (/ (/ (/ (/ U (cos (/ K 2))) (* J 2)) (sqrt (cos (/ K 2)))) 2) (* (/ (/ U (cos (/ K 2))) J) 1/4) (* (/ (/ U (cos (/ K 2))) J) 1/4) (/ (/ U (cos (/ K 2))) (/ (* J 2) (/ U 2))) (/ (/ U (cos (/ K 2))) (* J 2)) (* (/ U (cos (/ K 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (* (cbrt (/ (/ U (cos (/ K 2))) (* J 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (* (sqrt (/ (/ U (cos (/ K 2))) (* J 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ (cbrt (/ U (cos (/ K 2)))) J) J) (/ (/ U (cos (/ K 2))) 2)) (/ (/ (* (sqrt (/ U (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* J 2)) J) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ (cbrt U) J) (cbrt (cos (/ K 2))))) (/ (/ (cbrt U) (* J (sqrt (cos (/ K 2))))) (/ (* J 2) (/ U (cos (/ K 2))))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (cbrt U) (* J (cos (/ K 2))))) (* (/ (/ (sqrt U) (* J (cbrt (cos (/ K 2))))) 2) (/ (/ U (cos (/ K 2))) J)) (/ (* (/ (/ (sqrt U) J) (sqrt (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* J 2)) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ (sqrt U) J) (cos (/ K 2)))) (/ (* (/ (/ U (cos (/ K 2))) (* J 2)) U) (* J (cbrt (cos (/ K 2))))) (/ (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ U (sqrt (cos (/ K 2))))) J) (/ (* (/ U (* J (cos (/ K 2)))) (/ U (* J (cos (/ K 2))))) 2) (/ (* (/ U (* J (cos (/ K 2)))) (/ U (* J (cos (/ K 2))))) 2) (/ (* (/ (/ U (cos (/ K 2))) (* J 2)) 1) (* J (cos (/ K 2)))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (/ (/ (/ U (cos (/ K 2))) (* J 2)) (* J 2)) (* (/ U (cos (/ K 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ U (cos (/ K 2))) (/ (/ U (cos (/ K 2))) (* J 2))) (real->posit16 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (log (/ U (cos (/ K 2)))) (log (/ U (cos (/ K 2)))) (exp (/ U (cos (/ K 2)))) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* (cbrt (/ U (cos (/ K 2)))) (cbrt (/ U (cos (/ K 2))))) (cbrt (/ U (cos (/ K 2)))) (* (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) (/ U (cos (/ K 2)))) (sqrt (/ U (cos (/ K 2)))) (sqrt (/ U (cos (/ K 2)))) (- U) (- (cos (/ K 2))) (* (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ (cbrt U) (cbrt (cos (/ K 2))))) (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (sqrt (cos (/ K 2)))) (/ (cbrt U) (sqrt (cos (/ K 2)))) (* (cbrt U) (cbrt U)) (/ (cbrt U) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ (sqrt U) (cbrt (cos (/ K 2)))) (/ (sqrt U) (sqrt (cos (/ K 2)))) (/ (sqrt U) (sqrt (cos (/ K 2)))) (sqrt U) (/ (sqrt U) (cos (/ K 2))) (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ U (cbrt (cos (/ K 2)))) (/ 1 (sqrt (cos (/ K 2)))) (/ U (sqrt (cos (/ K 2)))) 1 (/ U (cos (/ K 2))) (/ 1 (cos (/ K 2))) (/ (cos (/ K 2)) U) (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ U (sqrt (cos (/ K 2)))) U (/ (cos (/ K 2)) (cbrt U)) (/ (cos (/ K 2)) (sqrt U)) (/ (cos (/ K 2)) U) (real->posit16 (/ U (cos (/ K 2)))) 1 (/ (/ (* U 1/2) J) (cos (* 1/2 K))) (/ (/ (* U 1/2) J) (cos (* 1/2 K))) 0 (* (* -2 J) (cos (* 1/2 K))) (* (* -2 J) (cos (* 1/2 K))) (+ (+ (/ 1/4 (/ (* J J) (* U U))) (/ (* (* K K) 1/16) (/ (* J J) (* U U)))) (* (/ (* (* U U) (* (* K K) (* K K))) (* J J)) 1/96)) (/ (/ 1/4 (/ (* J J) (* U U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (/ (/ 1/4 (/ (* J J) (* U U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (+ (* (* 1/8 U) (* K K)) U) (/ U (cos (* 1/2 K))) (/ U (cos (* 1/2 K))) 6.387 * * * [progress]: adding candidates to table 7.297 * * [progress]: iteration 2 / 4 7.297 * * * [progress]: picking best candidate 7.336 * * * * [pick]: Picked # 7.337 * * * [progress]: localizing error 7.377 * * * [progress]: generating rewritten candidates 7.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 7.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 7.743 * * * [progress]: generating series expansions 7.743 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 7.743 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 7.743 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 7.743 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 7.743 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 7.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.743 * [taylor]: Taking taylor expansion of 1/4 in J 7.744 * [backup-simplify]: Simplify 1/4 into 1/4 7.744 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.744 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.744 * [taylor]: Taking taylor expansion of U in J 7.744 * [backup-simplify]: Simplify U into U 7.744 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.744 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.744 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.744 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.744 * [taylor]: Taking taylor expansion of 1/2 in J 7.744 * [backup-simplify]: Simplify 1/2 into 1/2 7.744 * [taylor]: Taking taylor expansion of K in J 7.744 * [backup-simplify]: Simplify K into K 7.744 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.744 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.744 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.744 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.744 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.745 * [backup-simplify]: Simplify (- 0) into 0 7.745 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.745 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.745 * [taylor]: Taking taylor expansion of J in J 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify 1 into 1 7.745 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.745 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.746 * [backup-simplify]: Simplify (* 1 1) into 1 7.746 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.746 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.746 * [taylor]: Taking taylor expansion of 1 in J 7.746 * [backup-simplify]: Simplify 1 into 1 7.746 * [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))) 7.747 * [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))) 7.747 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.747 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.748 * [backup-simplify]: Simplify (+ 0) into 0 7.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.750 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.750 * [backup-simplify]: Simplify (- 0) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.751 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.752 * [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 7.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 7.753 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.753 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 7.753 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 7.753 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.753 * [taylor]: Taking taylor expansion of 1/4 in K 7.753 * [backup-simplify]: Simplify 1/4 into 1/4 7.753 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.753 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.753 * [taylor]: Taking taylor expansion of U in K 7.753 * [backup-simplify]: Simplify U into U 7.753 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.753 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.753 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.753 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.753 * [taylor]: Taking taylor expansion of 1/2 in K 7.753 * [backup-simplify]: Simplify 1/2 into 1/2 7.753 * [taylor]: Taking taylor expansion of K in K 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.755 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.755 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.755 * [taylor]: Taking taylor expansion of J in K 7.755 * [backup-simplify]: Simplify J into J 7.755 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.755 * [backup-simplify]: Simplify (* 1 1) into 1 7.755 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.755 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.755 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.755 * [taylor]: Taking taylor expansion of 1 in K 7.755 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.756 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.756 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.756 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.756 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.757 * [backup-simplify]: Simplify (+ 0) into 0 7.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.758 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.760 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.760 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.760 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.760 * [taylor]: Taking taylor expansion of 1/4 in U 7.760 * [backup-simplify]: Simplify 1/4 into 1/4 7.760 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.760 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.760 * [taylor]: Taking taylor expansion of U in U 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.760 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.760 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.760 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.760 * [taylor]: Taking taylor expansion of 1/2 in U 7.760 * [backup-simplify]: Simplify 1/2 into 1/2 7.760 * [taylor]: Taking taylor expansion of K in U 7.760 * [backup-simplify]: Simplify K into K 7.760 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.760 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.760 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.760 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.760 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.761 * [backup-simplify]: Simplify (- 0) into 0 7.761 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.761 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.761 * [taylor]: Taking taylor expansion of J in U 7.761 * [backup-simplify]: Simplify J into J 7.761 * [backup-simplify]: Simplify (* 1 1) into 1 7.761 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.761 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.762 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.762 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.762 * [taylor]: Taking taylor expansion of 1 in U 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [backup-simplify]: Simplify (+ 0 1) into 1 7.763 * [backup-simplify]: Simplify (sqrt 1) into 1 7.763 * [backup-simplify]: Simplify (+ 0 0) into 0 7.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.764 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.764 * [taylor]: Taking taylor expansion of 1/4 in U 7.764 * [backup-simplify]: Simplify 1/4 into 1/4 7.764 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.764 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.764 * [taylor]: Taking taylor expansion of U in U 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.764 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.764 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.764 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.764 * [taylor]: Taking taylor expansion of 1/2 in U 7.764 * [backup-simplify]: Simplify 1/2 into 1/2 7.764 * [taylor]: Taking taylor expansion of K in U 7.764 * [backup-simplify]: Simplify K into K 7.764 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.764 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.764 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.764 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.764 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.765 * [backup-simplify]: Simplify (- 0) into 0 7.765 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.765 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.765 * [taylor]: Taking taylor expansion of J in U 7.765 * [backup-simplify]: Simplify J into J 7.765 * [backup-simplify]: Simplify (* 1 1) into 1 7.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.766 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.766 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.766 * [taylor]: Taking taylor expansion of 1 in U 7.766 * [backup-simplify]: Simplify 1 into 1 7.766 * [backup-simplify]: Simplify (+ 0 1) into 1 7.767 * [backup-simplify]: Simplify (sqrt 1) into 1 7.767 * [backup-simplify]: Simplify (+ 0 0) into 0 7.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.768 * [taylor]: Taking taylor expansion of 1 in K 7.768 * [backup-simplify]: Simplify 1 into 1 7.768 * [taylor]: Taking taylor expansion of 1 in J 7.768 * [backup-simplify]: Simplify 1 into 1 7.768 * [taylor]: Taking taylor expansion of 0 in K 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [taylor]: Taking taylor expansion of 0 in J 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [taylor]: Taking taylor expansion of 0 in J 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.768 * [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))) 7.769 * [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)))) 7.770 * [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))) 7.770 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.770 * [taylor]: Taking taylor expansion of 1/8 in K 7.770 * [backup-simplify]: Simplify 1/8 into 1/8 7.770 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.770 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.770 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.770 * [taylor]: Taking taylor expansion of 1/2 in K 7.770 * [backup-simplify]: Simplify 1/2 into 1/2 7.770 * [taylor]: Taking taylor expansion of K in K 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.771 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.771 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.772 * [taylor]: Taking taylor expansion of J in K 7.772 * [backup-simplify]: Simplify J into J 7.772 * [backup-simplify]: Simplify (* 1 1) into 1 7.772 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.772 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.772 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 7.772 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 7.772 * [taylor]: Taking taylor expansion of 1/8 in J 7.772 * [backup-simplify]: Simplify 1/8 into 1/8 7.772 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.772 * [taylor]: Taking taylor expansion of J in J 7.772 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify 1 into 1 7.773 * [backup-simplify]: Simplify (* 1 1) into 1 7.773 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [taylor]: Taking taylor expansion of 0 in J 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [taylor]: Taking taylor expansion of 0 in J 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.775 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.776 * [backup-simplify]: Simplify (+ 0) into 0 7.776 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.778 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.778 * [backup-simplify]: Simplify (- 0) into 0 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.779 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.779 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.780 * [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 7.780 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.781 * [taylor]: Taking taylor expansion of 0 in K 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [taylor]: Taking taylor expansion of 0 in J 7.781 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.782 * [backup-simplify]: Simplify (+ 0) into 0 7.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.783 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 7.783 * [taylor]: Taking taylor expansion of 0 in J 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [taylor]: Taking taylor expansion of 0 in J 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [taylor]: Taking taylor expansion of 0 in J 7.783 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.786 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 7.786 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 7.786 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 7.786 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.786 * [taylor]: Taking taylor expansion of 1/4 in J 7.786 * [backup-simplify]: Simplify 1/4 into 1/4 7.786 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.786 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.786 * [taylor]: Taking taylor expansion of J in J 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.786 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.786 * [taylor]: Taking taylor expansion of U in J 7.786 * [backup-simplify]: Simplify U into U 7.786 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.786 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.786 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.786 * [taylor]: Taking taylor expansion of 1/2 in J 7.786 * [backup-simplify]: Simplify 1/2 into 1/2 7.786 * [taylor]: Taking taylor expansion of K in J 7.786 * [backup-simplify]: Simplify K into K 7.786 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.787 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.787 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.787 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.787 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.787 * [backup-simplify]: Simplify (- 0) into 0 7.787 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.788 * [backup-simplify]: Simplify (* 1 1) into 1 7.788 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.788 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.788 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.788 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.788 * [taylor]: Taking taylor expansion of 1 in J 7.788 * [backup-simplify]: Simplify 1 into 1 7.789 * [backup-simplify]: Simplify (+ 0 1) into 1 7.789 * [backup-simplify]: Simplify (sqrt 1) into 1 7.789 * [backup-simplify]: Simplify (+ 0 0) into 0 7.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.790 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 7.790 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 7.790 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.790 * [taylor]: Taking taylor expansion of 1/4 in K 7.790 * [backup-simplify]: Simplify 1/4 into 1/4 7.790 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.790 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.790 * [taylor]: Taking taylor expansion of J in K 7.790 * [backup-simplify]: Simplify J into J 7.790 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.790 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.790 * [taylor]: Taking taylor expansion of U in K 7.790 * [backup-simplify]: Simplify U into U 7.790 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.790 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.790 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.790 * [taylor]: Taking taylor expansion of 1/2 in K 7.790 * [backup-simplify]: Simplify 1/2 into 1/2 7.790 * [taylor]: Taking taylor expansion of K in K 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.791 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.791 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.791 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.791 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.791 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.792 * [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))) 7.792 * [taylor]: Taking taylor expansion of 1 in K 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [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)))) 7.792 * [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) 7.793 * [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)) 7.793 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.793 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.793 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.794 * [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 7.795 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.795 * [backup-simplify]: Simplify (+ 0 0) into 0 7.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.796 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.796 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.796 * [taylor]: Taking taylor expansion of 1/4 in U 7.796 * [backup-simplify]: Simplify 1/4 into 1/4 7.796 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.796 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.796 * [taylor]: Taking taylor expansion of J in U 7.796 * [backup-simplify]: Simplify J into J 7.796 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.796 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.796 * [taylor]: Taking taylor expansion of U in U 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.796 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.796 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.796 * [taylor]: Taking taylor expansion of 1/2 in U 7.796 * [backup-simplify]: Simplify 1/2 into 1/2 7.796 * [taylor]: Taking taylor expansion of K in U 7.796 * [backup-simplify]: Simplify K into K 7.797 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.797 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.797 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.797 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.797 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.797 * [backup-simplify]: Simplify (- 0) into 0 7.797 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.797 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.798 * [backup-simplify]: Simplify (* 1 1) into 1 7.798 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.798 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.798 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.798 * [taylor]: Taking taylor expansion of 1 in U 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [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))) 7.799 * [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))) 7.799 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.799 * [backup-simplify]: Simplify (+ 0) into 0 7.800 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.800 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.801 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.802 * [backup-simplify]: Simplify (- 0) into 0 7.802 * [backup-simplify]: Simplify (+ 0 0) into 0 7.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.804 * [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 7.804 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.805 * [backup-simplify]: Simplify (+ 0 0) into 0 7.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.805 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.805 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.805 * [taylor]: Taking taylor expansion of 1/4 in U 7.805 * [backup-simplify]: Simplify 1/4 into 1/4 7.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.805 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.805 * [taylor]: Taking taylor expansion of J in U 7.805 * [backup-simplify]: Simplify J into J 7.805 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.805 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.805 * [taylor]: Taking taylor expansion of U in U 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.805 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.805 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.805 * [taylor]: Taking taylor expansion of 1/2 in U 7.805 * [backup-simplify]: Simplify 1/2 into 1/2 7.805 * [taylor]: Taking taylor expansion of K in U 7.805 * [backup-simplify]: Simplify K into K 7.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.806 * [backup-simplify]: Simplify (- 0) into 0 7.806 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.806 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.807 * [backup-simplify]: Simplify (* 1 1) into 1 7.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.807 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.807 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.807 * [taylor]: Taking taylor expansion of 1 in U 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [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))) 7.808 * [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))) 7.808 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.808 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.808 * [backup-simplify]: Simplify (+ 0) into 0 7.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.809 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.810 * [backup-simplify]: Simplify (- 0) into 0 7.811 * [backup-simplify]: Simplify (+ 0 0) into 0 7.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.813 * [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 7.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.813 * [backup-simplify]: Simplify (+ 0 0) into 0 7.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 7.814 * [taylor]: Taking taylor expansion of 1/2 in K 7.814 * [backup-simplify]: Simplify 1/2 into 1/2 7.814 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 7.814 * [taylor]: Taking taylor expansion of J in K 7.814 * [backup-simplify]: Simplify J into J 7.814 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.814 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.814 * [taylor]: Taking taylor expansion of 1/2 in K 7.814 * [backup-simplify]: Simplify 1/2 into 1/2 7.814 * [taylor]: Taking taylor expansion of K in K 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.815 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.815 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.815 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 7.815 * [taylor]: Taking taylor expansion of 1/2 in J 7.815 * [backup-simplify]: Simplify 1/2 into 1/2 7.815 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 7.815 * [taylor]: Taking taylor expansion of J in J 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.815 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.815 * [taylor]: Taking taylor expansion of 1/2 in J 7.815 * [backup-simplify]: Simplify 1/2 into 1/2 7.815 * [taylor]: Taking taylor expansion of K in J 7.815 * [backup-simplify]: Simplify K into K 7.815 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.815 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.815 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.815 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.816 * [backup-simplify]: Simplify (- 0) into 0 7.816 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.816 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 7.816 * [taylor]: Taking taylor expansion of 0 in K 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [taylor]: Taking taylor expansion of 0 in J 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.817 * [taylor]: Taking taylor expansion of 0 in J 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 7.817 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 7.818 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.821 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.821 * [backup-simplify]: Simplify (- 0) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.827 * [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 7.828 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.828 * [backup-simplify]: Simplify (+ 0 1) into 1 7.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.829 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.829 * [taylor]: Taking taylor expansion of 1/2 in K 7.829 * [backup-simplify]: Simplify 1/2 into 1/2 7.829 * [taylor]: Taking taylor expansion of K in K 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.830 * [taylor]: Taking taylor expansion of J in K 7.830 * [backup-simplify]: Simplify J into J 7.830 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.830 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.830 * [taylor]: Taking taylor expansion of 1/2 in J 7.830 * [backup-simplify]: Simplify 1/2 into 1/2 7.830 * [taylor]: Taking taylor expansion of K in J 7.830 * [backup-simplify]: Simplify K into K 7.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.830 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.830 * [taylor]: Taking taylor expansion of J in J 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.830 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.831 * [backup-simplify]: Simplify (- 0) into 0 7.831 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.831 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.831 * [backup-simplify]: Simplify (+ 0) into 0 7.832 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.832 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.833 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.833 * [backup-simplify]: Simplify (- 0) into 0 7.834 * [backup-simplify]: Simplify (+ 0 0) into 0 7.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [taylor]: Taking taylor expansion of 0 in J 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.836 * [taylor]: Taking taylor expansion of 0 in J 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify (+ 0) into 0 7.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.837 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.838 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.838 * [backup-simplify]: Simplify (- 0) into 0 7.839 * [backup-simplify]: Simplify (+ 0 0) into 0 7.839 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.840 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.840 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 7.840 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.840 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.841 * [taylor]: Taking taylor expansion of 1 in J 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.841 * [taylor]: Taking taylor expansion of 1/4 in J 7.841 * [backup-simplify]: Simplify 1/4 into 1/4 7.841 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.841 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.841 * [taylor]: Taking taylor expansion of J in J 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.841 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.841 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.841 * [taylor]: Taking taylor expansion of -1/2 in J 7.841 * [backup-simplify]: Simplify -1/2 into -1/2 7.841 * [taylor]: Taking taylor expansion of K in J 7.841 * [backup-simplify]: Simplify K into K 7.841 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.841 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.841 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.841 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.842 * [backup-simplify]: Simplify (- 0) into 0 7.842 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.842 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.842 * [taylor]: Taking taylor expansion of U in J 7.842 * [backup-simplify]: Simplify U into U 7.842 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.842 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.843 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.843 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.843 * [backup-simplify]: Simplify (+ 1 0) into 1 7.843 * [backup-simplify]: Simplify (sqrt 1) into 1 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.844 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.845 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.845 * [taylor]: Taking taylor expansion of 1 in K 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.845 * [taylor]: Taking taylor expansion of 1/4 in K 7.845 * [backup-simplify]: Simplify 1/4 into 1/4 7.845 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.845 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.845 * [taylor]: Taking taylor expansion of J in K 7.845 * [backup-simplify]: Simplify J into J 7.845 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.845 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.845 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.845 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.845 * [taylor]: Taking taylor expansion of -1/2 in K 7.845 * [backup-simplify]: Simplify -1/2 into -1/2 7.845 * [taylor]: Taking taylor expansion of K in K 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.846 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.846 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.846 * [taylor]: Taking taylor expansion of U in K 7.846 * [backup-simplify]: Simplify U into U 7.846 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.846 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.846 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.847 * [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))) 7.847 * [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)))) 7.847 * [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))))) 7.848 * [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)))))) 7.848 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.848 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.849 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 7.849 * [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 7.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 7.851 * [backup-simplify]: Simplify (+ 0 0) into 0 7.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.851 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.851 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.851 * [taylor]: Taking taylor expansion of 1 in U 7.851 * [backup-simplify]: Simplify 1 into 1 7.852 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.852 * [taylor]: Taking taylor expansion of 1/4 in U 7.852 * [backup-simplify]: Simplify 1/4 into 1/4 7.852 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.852 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.852 * [taylor]: Taking taylor expansion of J in U 7.852 * [backup-simplify]: Simplify J into J 7.852 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.852 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.852 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.852 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.852 * [taylor]: Taking taylor expansion of -1/2 in U 7.852 * [backup-simplify]: Simplify -1/2 into -1/2 7.852 * [taylor]: Taking taylor expansion of K in U 7.852 * [backup-simplify]: Simplify K into K 7.852 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.852 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.852 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.853 * [backup-simplify]: Simplify (- 0) into 0 7.853 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.853 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.853 * [taylor]: Taking taylor expansion of U in U 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.853 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.853 * [backup-simplify]: Simplify (* 1 1) into 1 7.853 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.854 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.854 * [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))) 7.854 * [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))) 7.854 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.855 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.856 * [backup-simplify]: Simplify (+ 0) into 0 7.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.857 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.858 * [backup-simplify]: Simplify (- 0) into 0 7.858 * [backup-simplify]: Simplify (+ 0 0) into 0 7.858 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.859 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.859 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.860 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.860 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.860 * [taylor]: Taking taylor expansion of 1 in U 7.860 * [backup-simplify]: Simplify 1 into 1 7.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.860 * [taylor]: Taking taylor expansion of 1/4 in U 7.861 * [backup-simplify]: Simplify 1/4 into 1/4 7.861 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.861 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.861 * [taylor]: Taking taylor expansion of J in U 7.861 * [backup-simplify]: Simplify J into J 7.861 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.861 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.861 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.861 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.861 * [taylor]: Taking taylor expansion of -1/2 in U 7.861 * [backup-simplify]: Simplify -1/2 into -1/2 7.861 * [taylor]: Taking taylor expansion of K in U 7.861 * [backup-simplify]: Simplify K into K 7.861 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.861 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.861 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.861 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.861 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.862 * [backup-simplify]: Simplify (- 0) into 0 7.862 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.862 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.862 * [taylor]: Taking taylor expansion of U in U 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.862 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.862 * [backup-simplify]: Simplify (* 1 1) into 1 7.862 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.863 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.863 * [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))) 7.863 * [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))) 7.863 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.863 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.864 * [backup-simplify]: Simplify (+ 0) into 0 7.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.865 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.866 * [backup-simplify]: Simplify (- 0) into 0 7.867 * [backup-simplify]: Simplify (+ 0 0) into 0 7.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.867 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.868 * [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 7.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.869 * [backup-simplify]: Simplify (+ 0 0) into 0 7.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 7.869 * [taylor]: Taking taylor expansion of 1/2 in K 7.869 * [backup-simplify]: Simplify 1/2 into 1/2 7.869 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 7.869 * [taylor]: Taking taylor expansion of J in K 7.869 * [backup-simplify]: Simplify J into J 7.869 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.869 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.869 * [taylor]: Taking taylor expansion of -1/2 in K 7.869 * [backup-simplify]: Simplify -1/2 into -1/2 7.869 * [taylor]: Taking taylor expansion of K in K 7.869 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.870 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.870 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.870 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.870 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 7.870 * [taylor]: Taking taylor expansion of 1/2 in J 7.870 * [backup-simplify]: Simplify 1/2 into 1/2 7.870 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 7.870 * [taylor]: Taking taylor expansion of J in J 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.870 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.870 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.870 * [taylor]: Taking taylor expansion of -1/2 in J 7.870 * [backup-simplify]: Simplify -1/2 into -1/2 7.870 * [taylor]: Taking taylor expansion of K in J 7.870 * [backup-simplify]: Simplify K into K 7.871 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.871 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.871 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.871 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.871 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.871 * [backup-simplify]: Simplify (- 0) into 0 7.871 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.871 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 7.871 * [taylor]: Taking taylor expansion of 0 in K 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [taylor]: Taking taylor expansion of 0 in J 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.872 * [taylor]: Taking taylor expansion of 0 in J 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 7.872 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 7.873 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.874 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.875 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.876 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.877 * [backup-simplify]: Simplify (- 0) into 0 7.877 * [backup-simplify]: Simplify (+ 0 0) into 0 7.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.878 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.879 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.880 * [backup-simplify]: Simplify (+ 1 0) into 1 7.881 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.881 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.881 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.881 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.881 * [taylor]: Taking taylor expansion of -1/2 in K 7.881 * [backup-simplify]: Simplify -1/2 into -1/2 7.881 * [taylor]: Taking taylor expansion of K in K 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.882 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.882 * [taylor]: Taking taylor expansion of J in K 7.882 * [backup-simplify]: Simplify J into J 7.882 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.882 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.882 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.882 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.882 * [taylor]: Taking taylor expansion of -1/2 in J 7.882 * [backup-simplify]: Simplify -1/2 into -1/2 7.882 * [taylor]: Taking taylor expansion of K in J 7.882 * [backup-simplify]: Simplify K into K 7.882 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.882 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.883 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.883 * [taylor]: Taking taylor expansion of J in J 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.883 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.883 * [backup-simplify]: Simplify (- 0) into 0 7.883 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.883 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.884 * [backup-simplify]: Simplify (+ 0) into 0 7.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.886 * [backup-simplify]: Simplify (- 0) into 0 7.887 * [backup-simplify]: Simplify (+ 0 0) into 0 7.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [taylor]: Taking taylor expansion of 0 in J 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.889 * [taylor]: Taking taylor expansion of 0 in J 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify (+ 0) into 0 7.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.892 * [backup-simplify]: Simplify (- 0) into 0 7.892 * [backup-simplify]: Simplify (+ 0 0) into 0 7.893 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.894 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 7.894 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 7.894 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 7.894 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 7.894 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 7.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.894 * [taylor]: Taking taylor expansion of 1/4 in J 7.894 * [backup-simplify]: Simplify 1/4 into 1/4 7.894 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.894 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.894 * [taylor]: Taking taylor expansion of U in J 7.894 * [backup-simplify]: Simplify U into U 7.894 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.894 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.895 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.895 * [taylor]: Taking taylor expansion of 1/2 in J 7.895 * [backup-simplify]: Simplify 1/2 into 1/2 7.895 * [taylor]: Taking taylor expansion of K in J 7.895 * [backup-simplify]: Simplify K into K 7.895 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.895 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.895 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.895 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.895 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.896 * [backup-simplify]: Simplify (- 0) into 0 7.896 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.896 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.896 * [taylor]: Taking taylor expansion of J in J 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.896 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.897 * [backup-simplify]: Simplify (* 1 1) into 1 7.897 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.897 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.897 * [taylor]: Taking taylor expansion of 1 in J 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [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))) 7.898 * [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))) 7.898 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.898 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.899 * [backup-simplify]: Simplify (+ 0) into 0 7.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.901 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.902 * [backup-simplify]: Simplify (- 0) into 0 7.902 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.903 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.903 * [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 7.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.905 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 7.905 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 7.905 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.905 * [taylor]: Taking taylor expansion of 1/4 in K 7.905 * [backup-simplify]: Simplify 1/4 into 1/4 7.905 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.905 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.905 * [taylor]: Taking taylor expansion of U in K 7.905 * [backup-simplify]: Simplify U into U 7.905 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.905 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.905 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.905 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.905 * [taylor]: Taking taylor expansion of 1/2 in K 7.905 * [backup-simplify]: Simplify 1/2 into 1/2 7.905 * [taylor]: Taking taylor expansion of K in K 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.906 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.906 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.906 * [taylor]: Taking taylor expansion of J in K 7.906 * [backup-simplify]: Simplify J into J 7.906 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.906 * [backup-simplify]: Simplify (* 1 1) into 1 7.906 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.906 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.906 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.906 * [taylor]: Taking taylor expansion of 1 in K 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.907 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.907 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.907 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.907 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.907 * [backup-simplify]: Simplify (+ 0) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.908 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 7.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 7.909 * [backup-simplify]: Simplify (+ 0 0) into 0 7.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.909 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.909 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.909 * [taylor]: Taking taylor expansion of 1/4 in U 7.909 * [backup-simplify]: Simplify 1/4 into 1/4 7.909 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.909 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.909 * [taylor]: Taking taylor expansion of U in U 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 1 into 1 7.909 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.909 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.909 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.909 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.909 * [taylor]: Taking taylor expansion of 1/2 in U 7.909 * [backup-simplify]: Simplify 1/2 into 1/2 7.909 * [taylor]: Taking taylor expansion of K in U 7.909 * [backup-simplify]: Simplify K into K 7.910 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.910 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.910 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.910 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.910 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.910 * [backup-simplify]: Simplify (- 0) into 0 7.910 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.910 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.910 * [taylor]: Taking taylor expansion of J in U 7.910 * [backup-simplify]: Simplify J into J 7.910 * [backup-simplify]: Simplify (* 1 1) into 1 7.910 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.911 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.911 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.911 * [taylor]: Taking taylor expansion of 1 in U 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (+ 0 1) into 1 7.911 * [backup-simplify]: Simplify (sqrt 1) into 1 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.912 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.912 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.912 * [taylor]: Taking taylor expansion of 1/4 in U 7.912 * [backup-simplify]: Simplify 1/4 into 1/4 7.912 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.912 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.912 * [taylor]: Taking taylor expansion of U in U 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.912 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.912 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.912 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.912 * [taylor]: Taking taylor expansion of 1/2 in U 7.912 * [backup-simplify]: Simplify 1/2 into 1/2 7.912 * [taylor]: Taking taylor expansion of K in U 7.912 * [backup-simplify]: Simplify K into K 7.912 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.912 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.912 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.913 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.913 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.913 * [backup-simplify]: Simplify (- 0) into 0 7.913 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.913 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.913 * [taylor]: Taking taylor expansion of J in U 7.913 * [backup-simplify]: Simplify J into J 7.913 * [backup-simplify]: Simplify (* 1 1) into 1 7.913 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.913 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.913 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.914 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.914 * [taylor]: Taking taylor expansion of 1 in U 7.914 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (+ 0 1) into 1 7.914 * [backup-simplify]: Simplify (sqrt 1) into 1 7.914 * [backup-simplify]: Simplify (+ 0 0) into 0 7.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.915 * [taylor]: Taking taylor expansion of 1 in K 7.915 * [backup-simplify]: Simplify 1 into 1 7.915 * [taylor]: Taking taylor expansion of 1 in J 7.915 * [backup-simplify]: Simplify 1 into 1 7.915 * [taylor]: Taking taylor expansion of 0 in K 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [taylor]: Taking taylor expansion of 0 in J 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [taylor]: Taking taylor expansion of 0 in J 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 1 into 1 7.915 * [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))) 7.915 * [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)))) 7.916 * [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))) 7.916 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.916 * [taylor]: Taking taylor expansion of 1/8 in K 7.916 * [backup-simplify]: Simplify 1/8 into 1/8 7.916 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.916 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.916 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.917 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.917 * [taylor]: Taking taylor expansion of 1/2 in K 7.917 * [backup-simplify]: Simplify 1/2 into 1/2 7.917 * [taylor]: Taking taylor expansion of K in K 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.917 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.917 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.917 * [taylor]: Taking taylor expansion of J in K 7.917 * [backup-simplify]: Simplify J into J 7.918 * [backup-simplify]: Simplify (* 1 1) into 1 7.918 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.918 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.918 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 7.918 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 7.918 * [taylor]: Taking taylor expansion of 1/8 in J 7.918 * [backup-simplify]: Simplify 1/8 into 1/8 7.918 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.918 * [taylor]: Taking taylor expansion of J in J 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (* 1 1) into 1 7.918 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [taylor]: Taking taylor expansion of 0 in J 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [taylor]: Taking taylor expansion of 0 in J 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.920 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.920 * [backup-simplify]: Simplify (+ 0) into 0 7.921 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.922 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.923 * [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 7.923 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.924 * [taylor]: Taking taylor expansion of 0 in K 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [taylor]: Taking taylor expansion of 0 in J 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.924 * [backup-simplify]: Simplify (+ 0) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.925 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 7.925 * [taylor]: Taking taylor expansion of 0 in J 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [taylor]: Taking taylor expansion of 0 in J 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [taylor]: Taking taylor expansion of 0 in J 7.925 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.927 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 7.927 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 7.927 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 7.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.927 * [taylor]: Taking taylor expansion of 1/4 in J 7.927 * [backup-simplify]: Simplify 1/4 into 1/4 7.927 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.927 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.927 * [taylor]: Taking taylor expansion of J in J 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.927 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.927 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.927 * [taylor]: Taking taylor expansion of U in J 7.927 * [backup-simplify]: Simplify U into U 7.927 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.927 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.927 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.927 * [taylor]: Taking taylor expansion of 1/2 in J 7.927 * [backup-simplify]: Simplify 1/2 into 1/2 7.927 * [taylor]: Taking taylor expansion of K in J 7.927 * [backup-simplify]: Simplify K into K 7.927 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.927 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.927 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.928 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.928 * [backup-simplify]: Simplify (- 0) into 0 7.928 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.928 * [backup-simplify]: Simplify (* 1 1) into 1 7.928 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.928 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.929 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.929 * [taylor]: Taking taylor expansion of 1 in J 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (+ 0 1) into 1 7.929 * [backup-simplify]: Simplify (sqrt 1) into 1 7.929 * [backup-simplify]: Simplify (+ 0 0) into 0 7.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.930 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 7.930 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 7.930 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.930 * [taylor]: Taking taylor expansion of 1/4 in K 7.930 * [backup-simplify]: Simplify 1/4 into 1/4 7.930 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.930 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.930 * [taylor]: Taking taylor expansion of J in K 7.930 * [backup-simplify]: Simplify J into J 7.930 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.930 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.930 * [taylor]: Taking taylor expansion of U in K 7.930 * [backup-simplify]: Simplify U into U 7.930 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.930 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.930 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.930 * [taylor]: Taking taylor expansion of 1/2 in K 7.930 * [backup-simplify]: Simplify 1/2 into 1/2 7.930 * [taylor]: Taking taylor expansion of K in K 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.930 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.931 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.931 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.931 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.931 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.931 * [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))) 7.931 * [taylor]: Taking taylor expansion of 1 in K 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [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)))) 7.932 * [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) 7.932 * [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)) 7.932 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.932 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.933 * [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 7.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.934 * [backup-simplify]: Simplify (+ 0 0) into 0 7.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.935 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.935 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.935 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.935 * [taylor]: Taking taylor expansion of 1/4 in U 7.935 * [backup-simplify]: Simplify 1/4 into 1/4 7.935 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.935 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.935 * [taylor]: Taking taylor expansion of J in U 7.935 * [backup-simplify]: Simplify J into J 7.935 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.935 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.935 * [taylor]: Taking taylor expansion of U in U 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify 1 into 1 7.935 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.935 * [taylor]: Taking taylor expansion of 1/2 in U 7.935 * [backup-simplify]: Simplify 1/2 into 1/2 7.935 * [taylor]: Taking taylor expansion of K in U 7.935 * [backup-simplify]: Simplify K into K 7.935 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.935 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.935 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.936 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.936 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.937 * [backup-simplify]: Simplify (* 1 1) into 1 7.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.937 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.937 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.937 * [taylor]: Taking taylor expansion of 1 in U 7.937 * [backup-simplify]: Simplify 1 into 1 7.938 * [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))) 7.938 * [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))) 7.938 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.938 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.939 * [backup-simplify]: Simplify (+ 0) into 0 7.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.939 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.941 * [backup-simplify]: Simplify (- 0) into 0 7.941 * [backup-simplify]: Simplify (+ 0 0) into 0 7.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.943 * [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 7.944 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.944 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.944 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.944 * [taylor]: Taking taylor expansion of 1/4 in U 7.944 * [backup-simplify]: Simplify 1/4 into 1/4 7.944 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.944 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.945 * [taylor]: Taking taylor expansion of J in U 7.945 * [backup-simplify]: Simplify J into J 7.945 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.945 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.945 * [taylor]: Taking taylor expansion of U in U 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.945 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.945 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.945 * [taylor]: Taking taylor expansion of 1/2 in U 7.945 * [backup-simplify]: Simplify 1/2 into 1/2 7.945 * [taylor]: Taking taylor expansion of K in U 7.945 * [backup-simplify]: Simplify K into K 7.945 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.945 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.945 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.945 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.945 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.945 * [backup-simplify]: Simplify (- 0) into 0 7.946 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.946 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.946 * [backup-simplify]: Simplify (* 1 1) into 1 7.946 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.946 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.946 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.946 * [taylor]: Taking taylor expansion of 1 in U 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [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))) 7.947 * [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))) 7.947 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.947 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.948 * [backup-simplify]: Simplify (+ 0) into 0 7.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.948 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.950 * [backup-simplify]: Simplify (- 0) into 0 7.950 * [backup-simplify]: Simplify (+ 0 0) into 0 7.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.951 * [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 7.952 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 7.952 * [taylor]: Taking taylor expansion of 1/2 in K 7.952 * [backup-simplify]: Simplify 1/2 into 1/2 7.952 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 7.952 * [taylor]: Taking taylor expansion of J in K 7.952 * [backup-simplify]: Simplify J into J 7.952 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.952 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.952 * [taylor]: Taking taylor expansion of 1/2 in K 7.952 * [backup-simplify]: Simplify 1/2 into 1/2 7.952 * [taylor]: Taking taylor expansion of K in K 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 1 into 1 7.953 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.953 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.953 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.953 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 7.953 * [taylor]: Taking taylor expansion of 1/2 in J 7.953 * [backup-simplify]: Simplify 1/2 into 1/2 7.953 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 7.953 * [taylor]: Taking taylor expansion of J in J 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.953 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.953 * [taylor]: Taking taylor expansion of 1/2 in J 7.953 * [backup-simplify]: Simplify 1/2 into 1/2 7.953 * [taylor]: Taking taylor expansion of K in J 7.953 * [backup-simplify]: Simplify K into K 7.953 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.953 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.953 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.953 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.953 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.953 * [backup-simplify]: Simplify (- 0) into 0 7.953 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.954 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 7.954 * [taylor]: Taking taylor expansion of 0 in K 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [taylor]: Taking taylor expansion of 0 in J 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.957 * [taylor]: Taking taylor expansion of 0 in J 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 7.957 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 7.958 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.959 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.960 * [backup-simplify]: Simplify (- 0) into 0 7.960 * [backup-simplify]: Simplify (+ 0 0) into 0 7.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.962 * [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 7.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.963 * [backup-simplify]: Simplify (+ 0 1) into 1 7.964 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.964 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.964 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.964 * [taylor]: Taking taylor expansion of 1/2 in K 7.964 * [backup-simplify]: Simplify 1/2 into 1/2 7.964 * [taylor]: Taking taylor expansion of K in K 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.964 * [taylor]: Taking taylor expansion of J in K 7.964 * [backup-simplify]: Simplify J into J 7.964 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.964 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.964 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.964 * [taylor]: Taking taylor expansion of 1/2 in J 7.964 * [backup-simplify]: Simplify 1/2 into 1/2 7.964 * [taylor]: Taking taylor expansion of K in J 7.964 * [backup-simplify]: Simplify K into K 7.964 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.964 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.964 * [taylor]: Taking taylor expansion of J in J 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.965 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.965 * [backup-simplify]: Simplify (- 0) into 0 7.965 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.965 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.965 * [backup-simplify]: Simplify (+ 0) into 0 7.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.967 * [backup-simplify]: Simplify (- 0) into 0 7.967 * [backup-simplify]: Simplify (+ 0 0) into 0 7.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [taylor]: Taking taylor expansion of 0 in J 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.968 * [taylor]: Taking taylor expansion of 0 in J 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify (+ 0) into 0 7.969 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.969 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.970 * [backup-simplify]: Simplify (- 0) into 0 7.970 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.971 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.971 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 7.971 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.971 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.971 * [taylor]: Taking taylor expansion of 1 in J 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.971 * [taylor]: Taking taylor expansion of 1/4 in J 7.971 * [backup-simplify]: Simplify 1/4 into 1/4 7.971 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.971 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.972 * [taylor]: Taking taylor expansion of J in J 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.972 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.972 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.972 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.972 * [taylor]: Taking taylor expansion of -1/2 in J 7.972 * [backup-simplify]: Simplify -1/2 into -1/2 7.972 * [taylor]: Taking taylor expansion of K in J 7.972 * [backup-simplify]: Simplify K into K 7.972 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.972 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.972 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.972 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.972 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.972 * [backup-simplify]: Simplify (- 0) into 0 7.972 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.972 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.972 * [taylor]: Taking taylor expansion of U in J 7.972 * [backup-simplify]: Simplify U into U 7.972 * [backup-simplify]: Simplify (* 1 1) into 1 7.973 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.973 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.973 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.973 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.973 * [backup-simplify]: Simplify (+ 1 0) into 1 7.973 * [backup-simplify]: Simplify (sqrt 1) into 1 7.974 * [backup-simplify]: Simplify (+ 0 0) into 0 7.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.974 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.974 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.974 * [taylor]: Taking taylor expansion of 1 in K 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.974 * [taylor]: Taking taylor expansion of 1/4 in K 7.974 * [backup-simplify]: Simplify 1/4 into 1/4 7.974 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.974 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.974 * [taylor]: Taking taylor expansion of J in K 7.974 * [backup-simplify]: Simplify J into J 7.974 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.974 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.974 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.974 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.974 * [taylor]: Taking taylor expansion of -1/2 in K 7.974 * [backup-simplify]: Simplify -1/2 into -1/2 7.974 * [taylor]: Taking taylor expansion of K in K 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.975 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.975 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.975 * [taylor]: Taking taylor expansion of U in K 7.975 * [backup-simplify]: Simplify U into U 7.975 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.975 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.975 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.975 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.975 * [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))) 7.976 * [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)))) 7.976 * [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))))) 7.976 * [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)))))) 7.976 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.976 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 7.977 * [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 7.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 7.978 * [backup-simplify]: Simplify (+ 0 0) into 0 7.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.978 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.978 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.978 * [taylor]: Taking taylor expansion of 1 in U 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.978 * [taylor]: Taking taylor expansion of 1/4 in U 7.978 * [backup-simplify]: Simplify 1/4 into 1/4 7.978 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.978 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.978 * [taylor]: Taking taylor expansion of J in U 7.978 * [backup-simplify]: Simplify J into J 7.978 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.978 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.978 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.978 * [taylor]: Taking taylor expansion of -1/2 in U 7.978 * [backup-simplify]: Simplify -1/2 into -1/2 7.978 * [taylor]: Taking taylor expansion of K in U 7.978 * [backup-simplify]: Simplify K into K 7.978 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.978 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.978 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.978 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.979 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.979 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.979 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.979 * [taylor]: Taking taylor expansion of U in U 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.979 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.980 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.980 * [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))) 7.980 * [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))) 7.980 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.980 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.981 * [backup-simplify]: Simplify (+ 0) into 0 7.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.981 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.982 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.982 * [backup-simplify]: Simplify (- 0) into 0 7.983 * [backup-simplify]: Simplify (+ 0 0) into 0 7.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.983 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.983 * [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 7.984 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.984 * [backup-simplify]: Simplify (+ 0 0) into 0 7.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.984 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.984 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.984 * [taylor]: Taking taylor expansion of 1 in U 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.984 * [taylor]: Taking taylor expansion of 1/4 in U 7.984 * [backup-simplify]: Simplify 1/4 into 1/4 7.985 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.985 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.985 * [taylor]: Taking taylor expansion of J in U 7.985 * [backup-simplify]: Simplify J into J 7.985 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.985 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.985 * [taylor]: Taking taylor expansion of -1/2 in U 7.985 * [backup-simplify]: Simplify -1/2 into -1/2 7.985 * [taylor]: Taking taylor expansion of K in U 7.985 * [backup-simplify]: Simplify K into K 7.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.985 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.985 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.985 * [backup-simplify]: Simplify (- 0) into 0 7.985 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.985 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.985 * [taylor]: Taking taylor expansion of U in U 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.986 * [backup-simplify]: Simplify (* 1 1) into 1 7.986 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.986 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.986 * [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))) 7.986 * [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))) 7.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.987 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.987 * [backup-simplify]: Simplify (+ 0) into 0 7.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.988 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.989 * [backup-simplify]: Simplify (- 0) into 0 7.989 * [backup-simplify]: Simplify (+ 0 0) into 0 7.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.990 * [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 7.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.991 * [backup-simplify]: Simplify (+ 0 0) into 0 7.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 7.991 * [taylor]: Taking taylor expansion of 1/2 in K 7.991 * [backup-simplify]: Simplify 1/2 into 1/2 7.991 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 7.991 * [taylor]: Taking taylor expansion of J in K 7.991 * [backup-simplify]: Simplify J into J 7.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.991 * [taylor]: Taking taylor expansion of -1/2 in K 7.991 * [backup-simplify]: Simplify -1/2 into -1/2 7.991 * [taylor]: Taking taylor expansion of K in K 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 1 into 1 7.991 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.992 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.992 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 7.992 * [taylor]: Taking taylor expansion of 1/2 in J 7.992 * [backup-simplify]: Simplify 1/2 into 1/2 7.992 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 7.992 * [taylor]: Taking taylor expansion of J in J 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.992 * [taylor]: Taking taylor expansion of -1/2 in J 7.992 * [backup-simplify]: Simplify -1/2 into -1/2 7.992 * [taylor]: Taking taylor expansion of K in J 7.992 * [backup-simplify]: Simplify K into K 7.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.992 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 7.992 * [taylor]: Taking taylor expansion of 0 in K 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [taylor]: Taking taylor expansion of 0 in J 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.993 * [taylor]: Taking taylor expansion of 0 in J 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 7.993 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 7.994 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.996 * [backup-simplify]: Simplify (- 0) into 0 7.996 * [backup-simplify]: Simplify (+ 0 0) into 0 7.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.997 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.998 * [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 7.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.999 * [backup-simplify]: Simplify (+ 1 0) into 1 7.999 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.999 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.999 * [taylor]: Taking taylor expansion of -1/2 in K 7.999 * [backup-simplify]: Simplify -1/2 into -1/2 7.999 * [taylor]: Taking taylor expansion of K in K 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.000 * [taylor]: Taking taylor expansion of J in K 8.000 * [backup-simplify]: Simplify J into J 8.000 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.000 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.000 * [taylor]: Taking taylor expansion of -1/2 in J 8.000 * [backup-simplify]: Simplify -1/2 into -1/2 8.000 * [taylor]: Taking taylor expansion of K in J 8.000 * [backup-simplify]: Simplify K into K 8.000 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.000 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.000 * [taylor]: Taking taylor expansion of J in J 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.000 * [backup-simplify]: Simplify (- 0) into 0 8.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.000 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.001 * [backup-simplify]: Simplify (+ 0) into 0 8.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.003 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [taylor]: Taking taylor expansion of 0 in J 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.005 * [taylor]: Taking taylor expansion of 0 in J 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify (+ 0) into 0 8.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.008 * [backup-simplify]: Simplify (- 0) into 0 8.008 * [backup-simplify]: Simplify (+ 0 0) into 0 8.008 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.010 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 8.010 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 8.010 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 8.010 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 8.010 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 8.010 * [taylor]: Taking taylor expansion of 1/4 in J 8.010 * [backup-simplify]: Simplify 1/4 into 1/4 8.010 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.010 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.010 * [taylor]: Taking taylor expansion of 1/4 in J 8.010 * [backup-simplify]: Simplify 1/4 into 1/4 8.010 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.010 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.010 * [taylor]: Taking taylor expansion of U in J 8.010 * [backup-simplify]: Simplify U into U 8.010 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.010 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.010 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.010 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.010 * [taylor]: Taking taylor expansion of 1/2 in J 8.010 * [backup-simplify]: Simplify 1/2 into 1/2 8.010 * [taylor]: Taking taylor expansion of K in J 8.010 * [backup-simplify]: Simplify K into K 8.010 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.010 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.010 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.011 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.011 * [backup-simplify]: Simplify (- 0) into 0 8.011 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.011 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.011 * [taylor]: Taking taylor expansion of J in J 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.012 * [backup-simplify]: Simplify (* 1 1) into 1 8.012 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.012 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.012 * [taylor]: Taking taylor expansion of 1 in J 8.012 * [backup-simplify]: Simplify 1 into 1 8.012 * [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))) 8.013 * [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))) 8.013 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 8.014 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 8.014 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 8.014 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 8.014 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 8.014 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 8.014 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 8.014 * [taylor]: Taking taylor expansion of 1/4 in K 8.014 * [backup-simplify]: Simplify 1/4 into 1/4 8.014 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.014 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.014 * [taylor]: Taking taylor expansion of 1/4 in K 8.014 * [backup-simplify]: Simplify 1/4 into 1/4 8.014 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.014 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.014 * [taylor]: Taking taylor expansion of U in K 8.014 * [backup-simplify]: Simplify U into U 8.014 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.014 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.014 * [taylor]: Taking taylor expansion of 1/2 in K 8.014 * [backup-simplify]: Simplify 1/2 into 1/2 8.014 * [taylor]: Taking taylor expansion of K in K 8.014 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify 1 into 1 8.015 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.015 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.015 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.015 * [taylor]: Taking taylor expansion of J in K 8.015 * [backup-simplify]: Simplify J into J 8.015 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.015 * [backup-simplify]: Simplify (* 1 1) into 1 8.016 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.016 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.016 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.016 * [taylor]: Taking taylor expansion of 1 in K 8.016 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.016 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.016 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.017 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 8.017 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 8.017 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 8.017 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 8.017 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 8.017 * [taylor]: Taking taylor expansion of 1/4 in U 8.017 * [backup-simplify]: Simplify 1/4 into 1/4 8.017 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.017 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.017 * [taylor]: Taking taylor expansion of 1/4 in U 8.017 * [backup-simplify]: Simplify 1/4 into 1/4 8.017 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.017 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.017 * [taylor]: Taking taylor expansion of U in U 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.017 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.017 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.017 * [taylor]: Taking taylor expansion of 1/2 in U 8.017 * [backup-simplify]: Simplify 1/2 into 1/2 8.017 * [taylor]: Taking taylor expansion of K in U 8.017 * [backup-simplify]: Simplify K into K 8.017 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.017 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.017 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.018 * [backup-simplify]: Simplify (- 0) into 0 8.018 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.018 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.018 * [taylor]: Taking taylor expansion of J in U 8.018 * [backup-simplify]: Simplify J into J 8.018 * [backup-simplify]: Simplify (* 1 1) into 1 8.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.018 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.018 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.019 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.019 * [taylor]: Taking taylor expansion of 1 in U 8.019 * [backup-simplify]: Simplify 1 into 1 8.019 * [backup-simplify]: Simplify (+ 0 1) into 1 8.019 * [backup-simplify]: Simplify (log 1) into 0 8.019 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.020 * [backup-simplify]: Simplify (+ 0 0) into 0 8.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.021 * [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))) 8.022 * [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)))) 8.023 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.023 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.023 * [backup-simplify]: Simplify (exp 0) into 1 8.023 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 8.024 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 8.024 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 8.024 * [taylor]: Taking taylor expansion of 1/4 in U 8.024 * [backup-simplify]: Simplify 1/4 into 1/4 8.024 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.024 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.024 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.024 * [taylor]: Taking taylor expansion of 1/4 in U 8.024 * [backup-simplify]: Simplify 1/4 into 1/4 8.024 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.024 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.024 * [taylor]: Taking taylor expansion of U in U 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.024 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.024 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.024 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.024 * [taylor]: Taking taylor expansion of 1/2 in U 8.024 * [backup-simplify]: Simplify 1/2 into 1/2 8.024 * [taylor]: Taking taylor expansion of K in U 8.024 * [backup-simplify]: Simplify K into K 8.024 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.024 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.024 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.024 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.024 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.024 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.024 * [taylor]: Taking taylor expansion of J in U 8.024 * [backup-simplify]: Simplify J into J 8.025 * [backup-simplify]: Simplify (* 1 1) into 1 8.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.025 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.025 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.025 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.025 * [taylor]: Taking taylor expansion of 1 in U 8.025 * [backup-simplify]: Simplify 1 into 1 8.025 * [backup-simplify]: Simplify (+ 0 1) into 1 8.026 * [backup-simplify]: Simplify (log 1) into 0 8.026 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.027 * [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))) 8.028 * [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)))) 8.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.029 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.029 * [backup-simplify]: Simplify (exp 0) into 1 8.030 * [taylor]: Taking taylor expansion of 1 in K 8.030 * [backup-simplify]: Simplify 1 into 1 8.030 * [taylor]: Taking taylor expansion of 1 in J 8.030 * [backup-simplify]: Simplify 1 into 1 8.030 * [backup-simplify]: Simplify 1 into 1 8.030 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.030 * [taylor]: Taking taylor expansion of 0 in K 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [taylor]: Taking taylor expansion of 0 in J 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [taylor]: Taking taylor expansion of 0 in J 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.031 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.031 * [taylor]: Taking taylor expansion of 1/16 in K 8.031 * [backup-simplify]: Simplify 1/16 into 1/16 8.031 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.031 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.031 * [taylor]: Taking taylor expansion of 1/2 in K 8.031 * [backup-simplify]: Simplify 1/2 into 1/2 8.031 * [taylor]: Taking taylor expansion of K in K 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.032 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.032 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.032 * [taylor]: Taking taylor expansion of J in K 8.032 * [backup-simplify]: Simplify J into J 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.032 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.032 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.032 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 8.032 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 8.033 * [taylor]: Taking taylor expansion of 1/16 in J 8.033 * [backup-simplify]: Simplify 1/16 into 1/16 8.033 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.033 * [taylor]: Taking taylor expansion of J in J 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (* 1 1) into 1 8.033 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [taylor]: Taking taylor expansion of 0 in J 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [taylor]: Taking taylor expansion of 0 in J 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 8.036 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 8.036 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 8.036 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 8.036 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 8.036 * [taylor]: Taking taylor expansion of 1/4 in J 8.036 * [backup-simplify]: Simplify 1/4 into 1/4 8.036 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.036 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.036 * [taylor]: Taking taylor expansion of 1/4 in J 8.036 * [backup-simplify]: Simplify 1/4 into 1/4 8.036 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.036 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.036 * [taylor]: Taking taylor expansion of J in J 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.036 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.036 * [taylor]: Taking taylor expansion of U in J 8.036 * [backup-simplify]: Simplify U into U 8.036 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.036 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.036 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.036 * [taylor]: Taking taylor expansion of 1/2 in J 8.036 * [backup-simplify]: Simplify 1/2 into 1/2 8.036 * [taylor]: Taking taylor expansion of K in J 8.036 * [backup-simplify]: Simplify K into K 8.036 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.036 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.036 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.036 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.036 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.037 * [backup-simplify]: Simplify (- 0) into 0 8.037 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.037 * [backup-simplify]: Simplify (* 1 1) into 1 8.037 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.037 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.037 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.037 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.037 * [taylor]: Taking taylor expansion of 1 in J 8.037 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (+ 0 1) into 1 8.038 * [backup-simplify]: Simplify (log 1) into 0 8.038 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.038 * [backup-simplify]: Simplify (+ 0 0) into 0 8.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.040 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.040 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.042 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.042 * [backup-simplify]: Simplify (exp 0) into 1 8.042 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 8.042 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 8.042 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 8.042 * [taylor]: Taking taylor expansion of 1/4 in K 8.042 * [backup-simplify]: Simplify 1/4 into 1/4 8.042 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.042 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.042 * [taylor]: Taking taylor expansion of 1/4 in K 8.042 * [backup-simplify]: Simplify 1/4 into 1/4 8.042 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.042 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.042 * [taylor]: Taking taylor expansion of J in K 8.042 * [backup-simplify]: Simplify J into J 8.042 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.042 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.043 * [taylor]: Taking taylor expansion of U in K 8.043 * [backup-simplify]: Simplify U into U 8.043 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.043 * [taylor]: Taking taylor expansion of 1/2 in K 8.043 * [backup-simplify]: Simplify 1/2 into 1/2 8.043 * [taylor]: Taking taylor expansion of K in K 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.043 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.043 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.043 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.044 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.044 * [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))) 8.044 * [taylor]: Taking taylor expansion of 1 in K 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [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)))) 8.045 * [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) 8.045 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.046 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 8.046 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 8.046 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 8.046 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 8.046 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 8.046 * [taylor]: Taking taylor expansion of 1/4 in U 8.046 * [backup-simplify]: Simplify 1/4 into 1/4 8.047 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.047 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.047 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.047 * [taylor]: Taking taylor expansion of 1/4 in U 8.047 * [backup-simplify]: Simplify 1/4 into 1/4 8.047 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.047 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.047 * [taylor]: Taking taylor expansion of J in U 8.047 * [backup-simplify]: Simplify J into J 8.047 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.047 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.047 * [taylor]: Taking taylor expansion of U in U 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.047 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.047 * [taylor]: Taking taylor expansion of 1/2 in U 8.047 * [backup-simplify]: Simplify 1/2 into 1/2 8.047 * [taylor]: Taking taylor expansion of K in U 8.047 * [backup-simplify]: Simplify K into K 8.047 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.047 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.047 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.047 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.047 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.048 * [backup-simplify]: Simplify (- 0) into 0 8.048 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.048 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.049 * [backup-simplify]: Simplify (* 1 1) into 1 8.049 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.049 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.049 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.049 * [taylor]: Taking taylor expansion of 1 in U 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [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))) 8.050 * [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))) 8.050 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.051 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.051 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.051 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.052 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 8.052 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 8.052 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 8.052 * [taylor]: Taking taylor expansion of 1/4 in U 8.052 * [backup-simplify]: Simplify 1/4 into 1/4 8.052 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.052 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.052 * [taylor]: Taking taylor expansion of 1/4 in U 8.052 * [backup-simplify]: Simplify 1/4 into 1/4 8.052 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.052 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.052 * [taylor]: Taking taylor expansion of J in U 8.052 * [backup-simplify]: Simplify J into J 8.052 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.052 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.052 * [taylor]: Taking taylor expansion of U in U 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.052 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.052 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.052 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.052 * [taylor]: Taking taylor expansion of 1/2 in U 8.052 * [backup-simplify]: Simplify 1/2 into 1/2 8.052 * [taylor]: Taking taylor expansion of K in U 8.052 * [backup-simplify]: Simplify K into K 8.052 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.052 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.052 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.052 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.053 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.053 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.054 * [backup-simplify]: Simplify (* 1 1) into 1 8.054 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.054 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.054 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.054 * [taylor]: Taking taylor expansion of 1 in U 8.054 * [backup-simplify]: Simplify 1 into 1 8.054 * [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))) 8.055 * [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))) 8.055 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.056 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.056 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.056 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.057 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.057 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.057 * [taylor]: Taking taylor expansion of 1/4 in K 8.057 * [backup-simplify]: Simplify 1/4 into 1/4 8.057 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.057 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.057 * [taylor]: Taking taylor expansion of 1/4 in K 8.057 * [backup-simplify]: Simplify 1/4 into 1/4 8.057 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.057 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.057 * [taylor]: Taking taylor expansion of J in K 8.057 * [backup-simplify]: Simplify J into J 8.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.057 * [taylor]: Taking taylor expansion of 1/2 in K 8.057 * [backup-simplify]: Simplify 1/2 into 1/2 8.057 * [taylor]: Taking taylor expansion of K in K 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.058 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.058 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.058 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.059 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.059 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.059 * [taylor]: Taking taylor expansion of 2 in K 8.059 * [backup-simplify]: Simplify 2 into 2 8.059 * [taylor]: Taking taylor expansion of (log U) in K 8.059 * [taylor]: Taking taylor expansion of U in K 8.059 * [backup-simplify]: Simplify U into U 8.059 * [backup-simplify]: Simplify (log U) into (log U) 8.059 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.059 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.059 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.060 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.060 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.060 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 8.060 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.060 * [taylor]: Taking taylor expansion of 1/4 in J 8.060 * [backup-simplify]: Simplify 1/4 into 1/4 8.060 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.060 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.060 * [taylor]: Taking taylor expansion of 1/4 in J 8.060 * [backup-simplify]: Simplify 1/4 into 1/4 8.060 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.060 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.060 * [taylor]: Taking taylor expansion of J in J 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 1 into 1 8.061 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.061 * [taylor]: Taking taylor expansion of 1/2 in J 8.061 * [backup-simplify]: Simplify 1/2 into 1/2 8.061 * [taylor]: Taking taylor expansion of K in J 8.061 * [backup-simplify]: Simplify K into K 8.061 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.061 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.061 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.062 * [backup-simplify]: Simplify (- 0) into 0 8.062 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.062 * [backup-simplify]: Simplify (* 1 1) into 1 8.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.062 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.063 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.063 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.063 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.063 * [taylor]: Taking taylor expansion of 2 in J 8.063 * [backup-simplify]: Simplify 2 into 2 8.063 * [taylor]: Taking taylor expansion of (log U) in J 8.063 * [taylor]: Taking taylor expansion of U in J 8.063 * [backup-simplify]: Simplify U into U 8.063 * [backup-simplify]: Simplify (log U) into (log U) 8.064 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 8.064 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.064 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.064 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.064 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.065 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.065 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.065 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.066 * [backup-simplify]: Simplify (+ 0) into 0 8.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.068 * [backup-simplify]: Simplify (- 0) into 0 8.069 * [backup-simplify]: Simplify (+ 0 0) into 0 8.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.075 * [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 8.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.076 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.078 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.080 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.080 * [taylor]: Taking taylor expansion of 0 in K 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [taylor]: Taking taylor expansion of 0 in J 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.081 * [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 8.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.084 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.085 * [backup-simplify]: Simplify (- 0) into 0 8.085 * [backup-simplify]: Simplify (+ 0 0) into 0 8.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.088 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.088 * [taylor]: Taking taylor expansion of 0 in J 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.089 * [backup-simplify]: Simplify (+ 0) into 0 8.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.091 * [backup-simplify]: Simplify (- 0) into 0 8.091 * [backup-simplify]: Simplify (+ 0 0) into 0 8.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.091 * [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 8.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.093 * [backup-simplify]: Simplify (- 0) into 0 8.094 * [backup-simplify]: Simplify (+ 0 0) into 0 8.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.095 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.096 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.097 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.097 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.098 * [backup-simplify]: Simplify (- 0) into 0 8.098 * [backup-simplify]: Simplify (+ 0 0) into 0 8.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.100 * [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 8.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.101 * [backup-simplify]: Simplify (+ 0 1) into 1 8.102 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 8.103 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.103 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 8.104 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 8.104 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 8.104 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 8.104 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.104 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.104 * [taylor]: Taking taylor expansion of 1/4 in K 8.104 * [backup-simplify]: Simplify 1/4 into 1/4 8.104 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.104 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.104 * [taylor]: Taking taylor expansion of 1/4 in K 8.104 * [backup-simplify]: Simplify 1/4 into 1/4 8.105 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.105 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.105 * [taylor]: Taking taylor expansion of J in K 8.105 * [backup-simplify]: Simplify J into J 8.105 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.105 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.105 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.105 * [taylor]: Taking taylor expansion of 1/2 in K 8.105 * [backup-simplify]: Simplify 1/2 into 1/2 8.105 * [taylor]: Taking taylor expansion of K in K 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.105 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.105 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.105 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.105 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.105 * [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))) 8.106 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.106 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.106 * [taylor]: Taking taylor expansion of 2 in K 8.106 * [backup-simplify]: Simplify 2 into 2 8.106 * [taylor]: Taking taylor expansion of (log U) in K 8.106 * [taylor]: Taking taylor expansion of U in K 8.106 * [backup-simplify]: Simplify U into U 8.106 * [backup-simplify]: Simplify (log U) into (log U) 8.106 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.106 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.106 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.106 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.106 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.106 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.107 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.107 * [taylor]: Taking taylor expansion of 1/2 in K 8.107 * [backup-simplify]: Simplify 1/2 into 1/2 8.107 * [taylor]: Taking taylor expansion of K in K 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 1 into 1 8.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.107 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.107 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.107 * [taylor]: Taking taylor expansion of J in K 8.107 * [backup-simplify]: Simplify J into J 8.107 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.107 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 8.107 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.108 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 8.108 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 8.108 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 8.108 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 8.108 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.108 * [taylor]: Taking taylor expansion of 1/4 in J 8.108 * [backup-simplify]: Simplify 1/4 into 1/4 8.108 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.108 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.108 * [taylor]: Taking taylor expansion of 1/4 in J 8.108 * [backup-simplify]: Simplify 1/4 into 1/4 8.108 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.108 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.108 * [taylor]: Taking taylor expansion of J in J 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.108 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.108 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.108 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.108 * [taylor]: Taking taylor expansion of 1/2 in J 8.108 * [backup-simplify]: Simplify 1/2 into 1/2 8.108 * [taylor]: Taking taylor expansion of K in J 8.108 * [backup-simplify]: Simplify K into K 8.108 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.108 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.108 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.108 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.108 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.109 * [backup-simplify]: Simplify (- 0) into 0 8.109 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.109 * [backup-simplify]: Simplify (* 1 1) into 1 8.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.109 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.109 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.109 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.109 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.109 * [taylor]: Taking taylor expansion of 2 in J 8.109 * [backup-simplify]: Simplify 2 into 2 8.109 * [taylor]: Taking taylor expansion of (log U) in J 8.109 * [taylor]: Taking taylor expansion of U in J 8.109 * [backup-simplify]: Simplify U into U 8.109 * [backup-simplify]: Simplify (log U) into (log U) 8.110 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 8.110 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.110 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.110 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.110 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.110 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.111 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.111 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.111 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.111 * [taylor]: Taking taylor expansion of 1/2 in J 8.111 * [backup-simplify]: Simplify 1/2 into 1/2 8.111 * [taylor]: Taking taylor expansion of K in J 8.111 * [backup-simplify]: Simplify K into K 8.111 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.111 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.111 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.111 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.111 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.111 * [backup-simplify]: Simplify (- 0) into 0 8.111 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.111 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.111 * [taylor]: Taking taylor expansion of J in J 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.112 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.112 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 8.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.113 * [backup-simplify]: Simplify (+ 0) into 0 8.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.114 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.115 * [backup-simplify]: Simplify (- 0) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.116 * [backup-simplify]: Simplify (- 0) into 0 8.116 * [backup-simplify]: Simplify (+ 0 0) into 0 8.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.117 * [backup-simplify]: Simplify (+ 0) into 0 8.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.119 * [backup-simplify]: Simplify (- 0) into 0 8.119 * [backup-simplify]: Simplify (+ 0 0) into 0 8.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.119 * [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 8.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.121 * [backup-simplify]: Simplify (- 0) into 0 8.122 * [backup-simplify]: Simplify (+ 0 0) into 0 8.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.123 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.123 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.126 * [backup-simplify]: Simplify (- 0) into 0 8.126 * [backup-simplify]: Simplify (+ 0 0) into 0 8.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.128 * [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 8.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 8.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 8.132 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.134 * [backup-simplify]: Simplify (+ 0 0) into 0 8.135 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.137 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.138 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.139 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [taylor]: Taking taylor expansion of 0 in J 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.145 * [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 8.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 8.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.151 * [backup-simplify]: Simplify (- 0) into 0 8.151 * [backup-simplify]: Simplify (+ 0 0) into 0 8.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.154 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.154 * [taylor]: Taking taylor expansion of 0 in J 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 8.155 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 8.155 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 8.155 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 8.155 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 8.155 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 8.156 * [taylor]: Taking taylor expansion of 1/4 in J 8.156 * [backup-simplify]: Simplify 1/4 into 1/4 8.156 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.156 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.156 * [taylor]: Taking taylor expansion of 1 in J 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.156 * [taylor]: Taking taylor expansion of 1/4 in J 8.156 * [backup-simplify]: Simplify 1/4 into 1/4 8.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.156 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.156 * [taylor]: Taking taylor expansion of J in J 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.156 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.156 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.156 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.156 * [taylor]: Taking taylor expansion of -1/2 in J 8.156 * [backup-simplify]: Simplify -1/2 into -1/2 8.156 * [taylor]: Taking taylor expansion of K in J 8.156 * [backup-simplify]: Simplify K into K 8.156 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.156 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.156 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.156 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.156 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.157 * [backup-simplify]: Simplify (- 0) into 0 8.157 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.157 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.157 * [taylor]: Taking taylor expansion of U in J 8.157 * [backup-simplify]: Simplify U into U 8.158 * [backup-simplify]: Simplify (* 1 1) into 1 8.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.158 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.158 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.158 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.159 * [backup-simplify]: Simplify (+ 1 0) into 1 8.159 * [backup-simplify]: Simplify (log 1) into 0 8.160 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.163 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.163 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.166 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.166 * [backup-simplify]: Simplify (exp 0) into 1 8.166 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 8.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 8.166 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 8.166 * [taylor]: Taking taylor expansion of 1/4 in K 8.166 * [backup-simplify]: Simplify 1/4 into 1/4 8.166 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.166 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.166 * [taylor]: Taking taylor expansion of 1 in K 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.166 * [taylor]: Taking taylor expansion of 1/4 in K 8.167 * [backup-simplify]: Simplify 1/4 into 1/4 8.167 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.167 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.167 * [taylor]: Taking taylor expansion of J in K 8.167 * [backup-simplify]: Simplify J into J 8.167 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.167 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.167 * [taylor]: Taking taylor expansion of -1/2 in K 8.167 * [backup-simplify]: Simplify -1/2 into -1/2 8.167 * [taylor]: Taking taylor expansion of K in K 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.167 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.167 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.167 * [taylor]: Taking taylor expansion of U in K 8.167 * [backup-simplify]: Simplify U into U 8.167 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.168 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.168 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.168 * [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))) 8.169 * [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)))) 8.169 * [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))))) 8.169 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.170 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 8.170 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 8.170 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 8.171 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 8.171 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 8.171 * [taylor]: Taking taylor expansion of 1/4 in U 8.171 * [backup-simplify]: Simplify 1/4 into 1/4 8.171 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.171 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.171 * [taylor]: Taking taylor expansion of 1 in U 8.171 * [backup-simplify]: Simplify 1 into 1 8.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.171 * [taylor]: Taking taylor expansion of 1/4 in U 8.171 * [backup-simplify]: Simplify 1/4 into 1/4 8.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.171 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.171 * [taylor]: Taking taylor expansion of J in U 8.171 * [backup-simplify]: Simplify J into J 8.171 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.171 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.171 * [taylor]: Taking taylor expansion of -1/2 in U 8.171 * [backup-simplify]: Simplify -1/2 into -1/2 8.171 * [taylor]: Taking taylor expansion of K in U 8.171 * [backup-simplify]: Simplify K into K 8.171 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.171 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.171 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.172 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.172 * [backup-simplify]: Simplify (- 0) into 0 8.172 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.172 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.172 * [taylor]: Taking taylor expansion of U in U 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.172 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.172 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.173 * [backup-simplify]: Simplify (* 1 1) into 1 8.173 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.173 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.173 * [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))) 8.174 * [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))) 8.174 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.175 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.175 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.175 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.176 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 8.176 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 8.176 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 8.176 * [taylor]: Taking taylor expansion of 1/4 in U 8.176 * [backup-simplify]: Simplify 1/4 into 1/4 8.176 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.176 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.176 * [taylor]: Taking taylor expansion of 1 in U 8.176 * [backup-simplify]: Simplify 1 into 1 8.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.176 * [taylor]: Taking taylor expansion of 1/4 in U 8.176 * [backup-simplify]: Simplify 1/4 into 1/4 8.176 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.176 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.176 * [taylor]: Taking taylor expansion of J in U 8.176 * [backup-simplify]: Simplify J into J 8.176 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.176 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.176 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.176 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.176 * [taylor]: Taking taylor expansion of -1/2 in U 8.176 * [backup-simplify]: Simplify -1/2 into -1/2 8.176 * [taylor]: Taking taylor expansion of K in U 8.176 * [backup-simplify]: Simplify K into K 8.176 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.176 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.176 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.177 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.177 * [taylor]: Taking taylor expansion of U in U 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.178 * [backup-simplify]: Simplify (* 1 1) into 1 8.178 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.178 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.178 * [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))) 8.179 * [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))) 8.179 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.180 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.180 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.180 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.180 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.180 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.180 * [taylor]: Taking taylor expansion of 1/4 in K 8.180 * [backup-simplify]: Simplify 1/4 into 1/4 8.180 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.181 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.181 * [taylor]: Taking taylor expansion of 1/4 in K 8.181 * [backup-simplify]: Simplify 1/4 into 1/4 8.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.181 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.181 * [taylor]: Taking taylor expansion of J in K 8.181 * [backup-simplify]: Simplify J into J 8.181 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.181 * [taylor]: Taking taylor expansion of -1/2 in K 8.181 * [backup-simplify]: Simplify -1/2 into -1/2 8.181 * [taylor]: Taking taylor expansion of K in K 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.181 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.182 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.182 * [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))) 8.182 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.182 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.182 * [taylor]: Taking taylor expansion of 2 in K 8.182 * [backup-simplify]: Simplify 2 into 2 8.182 * [taylor]: Taking taylor expansion of (log U) in K 8.182 * [taylor]: Taking taylor expansion of U in K 8.182 * [backup-simplify]: Simplify U into U 8.182 * [backup-simplify]: Simplify (log U) into (log U) 8.182 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.182 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.182 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.183 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.183 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.183 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 8.183 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.183 * [taylor]: Taking taylor expansion of 1/4 in J 8.183 * [backup-simplify]: Simplify 1/4 into 1/4 8.183 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.183 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.183 * [taylor]: Taking taylor expansion of 1/4 in J 8.183 * [backup-simplify]: Simplify 1/4 into 1/4 8.183 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.183 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.183 * [taylor]: Taking taylor expansion of J in J 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.183 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.183 * [taylor]: Taking taylor expansion of -1/2 in J 8.183 * [backup-simplify]: Simplify -1/2 into -1/2 8.183 * [taylor]: Taking taylor expansion of K in J 8.183 * [backup-simplify]: Simplify K into K 8.183 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.183 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.183 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.184 * [backup-simplify]: Simplify (- 0) into 0 8.184 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.184 * [backup-simplify]: Simplify (* 1 1) into 1 8.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.184 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.184 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.185 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.185 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.185 * [taylor]: Taking taylor expansion of 2 in J 8.185 * [backup-simplify]: Simplify 2 into 2 8.185 * [taylor]: Taking taylor expansion of (log U) in J 8.185 * [taylor]: Taking taylor expansion of U in J 8.185 * [backup-simplify]: Simplify U into U 8.185 * [backup-simplify]: Simplify (log U) into (log U) 8.185 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 8.185 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.185 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.185 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.186 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.186 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.186 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.186 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.187 * [backup-simplify]: Simplify (+ 0) into 0 8.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.188 * [backup-simplify]: Simplify (- 0) into 0 8.189 * [backup-simplify]: Simplify (+ 0 0) into 0 8.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.189 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.189 * [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 8.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.190 * [backup-simplify]: Simplify (+ 0 0) into 0 8.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.191 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.192 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.192 * [taylor]: Taking taylor expansion of 0 in K 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [taylor]: Taking taylor expansion of 0 in J 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.193 * [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 8.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.195 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.195 * [backup-simplify]: Simplify (- 0) into 0 8.195 * [backup-simplify]: Simplify (+ 0 0) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.199 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.199 * [taylor]: Taking taylor expansion of 0 in J 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.200 * [backup-simplify]: Simplify (+ 0) into 0 8.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.202 * [backup-simplify]: Simplify (- 0) into 0 8.202 * [backup-simplify]: Simplify (+ 0 0) into 0 8.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.202 * [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 8.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 8.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 8.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.204 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (+ 0 0) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.206 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.211 * [backup-simplify]: Simplify (- 0) into 0 8.212 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.213 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.214 * [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 8.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.215 * [backup-simplify]: Simplify (+ 1 0) into 1 8.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 8.218 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.219 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 8.220 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 8.220 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 8.221 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 8.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.221 * [taylor]: Taking taylor expansion of -1/2 in K 8.221 * [backup-simplify]: Simplify -1/2 into -1/2 8.221 * [taylor]: Taking taylor expansion of K in K 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 1 into 1 8.221 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.221 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.221 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.221 * [taylor]: Taking taylor expansion of 1/4 in K 8.221 * [backup-simplify]: Simplify 1/4 into 1/4 8.221 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.221 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.222 * [taylor]: Taking taylor expansion of 1/4 in K 8.222 * [backup-simplify]: Simplify 1/4 into 1/4 8.222 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.222 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.222 * [taylor]: Taking taylor expansion of J in K 8.222 * [backup-simplify]: Simplify J into J 8.222 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.222 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.222 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.222 * [taylor]: Taking taylor expansion of -1/2 in K 8.222 * [backup-simplify]: Simplify -1/2 into -1/2 8.222 * [taylor]: Taking taylor expansion of K in K 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.222 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.222 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.223 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.223 * [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))) 8.223 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.223 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.223 * [taylor]: Taking taylor expansion of 2 in K 8.223 * [backup-simplify]: Simplify 2 into 2 8.223 * [taylor]: Taking taylor expansion of (log U) in K 8.223 * [taylor]: Taking taylor expansion of U in K 8.223 * [backup-simplify]: Simplify U into U 8.223 * [backup-simplify]: Simplify (log U) into (log U) 8.224 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.224 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.224 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.224 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.225 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.225 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.225 * [taylor]: Taking taylor expansion of J in K 8.225 * [backup-simplify]: Simplify J into J 8.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.225 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 8.225 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.226 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 8.226 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 8.226 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 8.226 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.226 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.226 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.226 * [taylor]: Taking taylor expansion of -1/2 in J 8.226 * [backup-simplify]: Simplify -1/2 into -1/2 8.226 * [taylor]: Taking taylor expansion of K in J 8.226 * [backup-simplify]: Simplify K into K 8.226 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.226 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.227 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.227 * [backup-simplify]: Simplify (- 0) into 0 8.227 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.227 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 8.227 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.227 * [taylor]: Taking taylor expansion of 1/4 in J 8.227 * [backup-simplify]: Simplify 1/4 into 1/4 8.227 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.228 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.228 * [taylor]: Taking taylor expansion of 1/4 in J 8.228 * [backup-simplify]: Simplify 1/4 into 1/4 8.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.228 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.228 * [taylor]: Taking taylor expansion of J in J 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.228 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.228 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.228 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.228 * [taylor]: Taking taylor expansion of -1/2 in J 8.228 * [backup-simplify]: Simplify -1/2 into -1/2 8.228 * [taylor]: Taking taylor expansion of K in J 8.228 * [backup-simplify]: Simplify K into K 8.228 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.228 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.228 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.228 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.229 * [backup-simplify]: Simplify (- 0) into 0 8.229 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.229 * [backup-simplify]: Simplify (* 1 1) into 1 8.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.230 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.230 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.230 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.230 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.230 * [taylor]: Taking taylor expansion of 2 in J 8.230 * [backup-simplify]: Simplify 2 into 2 8.230 * [taylor]: Taking taylor expansion of (log U) in J 8.230 * [taylor]: Taking taylor expansion of U in J 8.230 * [backup-simplify]: Simplify U into U 8.230 * [backup-simplify]: Simplify (log U) into (log U) 8.231 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 8.231 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.231 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.231 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.232 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.232 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.232 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.232 * [taylor]: Taking taylor expansion of J in J 8.232 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify 1 into 1 8.232 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.233 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 8.233 * [backup-simplify]: Simplify (* 1 1) into 1 8.234 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 8.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.235 * [backup-simplify]: Simplify (+ 0) into 0 8.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.237 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.237 * [backup-simplify]: Simplify (- 0) into 0 8.238 * [backup-simplify]: Simplify (+ 0 0) into 0 8.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.239 * [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 8.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 8.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 8.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.242 * [backup-simplify]: Simplify (- 0) into 0 8.242 * [backup-simplify]: Simplify (+ 0 0) into 0 8.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.248 * [backup-simplify]: Simplify (- 0) into 0 8.248 * [backup-simplify]: Simplify (+ 0 0) into 0 8.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.250 * [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 8.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 8.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 8.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.255 * [backup-simplify]: Simplify (- 0) into 0 8.256 * [backup-simplify]: Simplify (+ 0 0) into 0 8.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.258 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.259 * [backup-simplify]: Simplify (+ 0) into 0 8.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.261 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.261 * [backup-simplify]: Simplify (- 0) into 0 8.262 * [backup-simplify]: Simplify (+ 0 0) into 0 8.262 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.263 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.265 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.267 * [backup-simplify]: Simplify (- 0) into 0 8.267 * [backup-simplify]: Simplify (+ 0 0) into 0 8.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.269 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.270 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 8.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [taylor]: Taking taylor expansion of 0 in J 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.276 * [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 8.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.280 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 8.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.283 * [backup-simplify]: Simplify (- 0) into 0 8.283 * [backup-simplify]: Simplify (+ 0 0) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.286 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.286 * [taylor]: Taking taylor expansion of 0 in J 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 8.286 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 8.287 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 8.287 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 8.287 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 8.287 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 8.287 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 8.287 * [taylor]: Taking taylor expansion of 1/4 in J 8.287 * [backup-simplify]: Simplify 1/4 into 1/4 8.287 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.287 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.287 * [taylor]: Taking taylor expansion of 1/4 in J 8.287 * [backup-simplify]: Simplify 1/4 into 1/4 8.287 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.287 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.287 * [taylor]: Taking taylor expansion of U in J 8.287 * [backup-simplify]: Simplify U into U 8.287 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.287 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.287 * [taylor]: Taking taylor expansion of 1/2 in J 8.287 * [backup-simplify]: Simplify 1/2 into 1/2 8.287 * [taylor]: Taking taylor expansion of K in J 8.287 * [backup-simplify]: Simplify K into K 8.287 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.288 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.288 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.288 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.288 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.288 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.288 * [taylor]: Taking taylor expansion of J in J 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.289 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.289 * [backup-simplify]: Simplify (* 1 1) into 1 8.289 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.289 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.289 * [taylor]: Taking taylor expansion of 1 in J 8.289 * [backup-simplify]: Simplify 1 into 1 8.290 * [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))) 8.290 * [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))) 8.290 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 8.291 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 8.291 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 8.292 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 8.292 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 8.292 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 8.292 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 8.292 * [taylor]: Taking taylor expansion of 1/4 in K 8.292 * [backup-simplify]: Simplify 1/4 into 1/4 8.292 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.292 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.292 * [taylor]: Taking taylor expansion of 1/4 in K 8.292 * [backup-simplify]: Simplify 1/4 into 1/4 8.292 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.292 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.292 * [taylor]: Taking taylor expansion of U in K 8.292 * [backup-simplify]: Simplify U into U 8.292 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.292 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.292 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.292 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.292 * [taylor]: Taking taylor expansion of 1/2 in K 8.292 * [backup-simplify]: Simplify 1/2 into 1/2 8.292 * [taylor]: Taking taylor expansion of K in K 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.293 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.293 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.293 * [taylor]: Taking taylor expansion of J in K 8.294 * [backup-simplify]: Simplify J into J 8.294 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.294 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.294 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.294 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.294 * [taylor]: Taking taylor expansion of 1 in K 8.294 * [backup-simplify]: Simplify 1 into 1 8.295 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.295 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.295 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.296 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 8.296 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 8.296 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 8.296 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 8.296 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 8.296 * [taylor]: Taking taylor expansion of 1/4 in U 8.296 * [backup-simplify]: Simplify 1/4 into 1/4 8.296 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.296 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.296 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.296 * [taylor]: Taking taylor expansion of 1/4 in U 8.296 * [backup-simplify]: Simplify 1/4 into 1/4 8.296 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.296 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.296 * [taylor]: Taking taylor expansion of U in U 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 1 into 1 8.296 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.296 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.296 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.296 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.296 * [taylor]: Taking taylor expansion of 1/2 in U 8.296 * [backup-simplify]: Simplify 1/2 into 1/2 8.296 * [taylor]: Taking taylor expansion of K in U 8.296 * [backup-simplify]: Simplify K into K 8.297 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.297 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.297 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.297 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.297 * [backup-simplify]: Simplify (- 0) into 0 8.297 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.297 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.297 * [taylor]: Taking taylor expansion of J in U 8.297 * [backup-simplify]: Simplify J into J 8.298 * [backup-simplify]: Simplify (* 1 1) into 1 8.298 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.298 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.298 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.299 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.299 * [taylor]: Taking taylor expansion of 1 in U 8.299 * [backup-simplify]: Simplify 1 into 1 8.299 * [backup-simplify]: Simplify (+ 0 1) into 1 8.300 * [backup-simplify]: Simplify (log 1) into 0 8.300 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.300 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.303 * [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))) 8.303 * [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)))) 8.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.306 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.306 * [backup-simplify]: Simplify (exp 0) into 1 8.306 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 8.306 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 8.306 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 8.306 * [taylor]: Taking taylor expansion of 1/4 in U 8.306 * [backup-simplify]: Simplify 1/4 into 1/4 8.306 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.306 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.306 * [taylor]: Taking taylor expansion of 1/4 in U 8.306 * [backup-simplify]: Simplify 1/4 into 1/4 8.306 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.306 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.306 * [taylor]: Taking taylor expansion of U in U 8.306 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.307 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.307 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.307 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.307 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.307 * [taylor]: Taking taylor expansion of 1/2 in U 8.307 * [backup-simplify]: Simplify 1/2 into 1/2 8.307 * [taylor]: Taking taylor expansion of K in U 8.307 * [backup-simplify]: Simplify K into K 8.307 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.307 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.307 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.307 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.307 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.307 * [backup-simplify]: Simplify (- 0) into 0 8.308 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.308 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.308 * [taylor]: Taking taylor expansion of J in U 8.308 * [backup-simplify]: Simplify J into J 8.308 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.308 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.308 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.309 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.309 * [taylor]: Taking taylor expansion of 1 in U 8.309 * [backup-simplify]: Simplify 1 into 1 8.309 * [backup-simplify]: Simplify (+ 0 1) into 1 8.309 * [backup-simplify]: Simplify (log 1) into 0 8.310 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.310 * [backup-simplify]: Simplify (+ 0 0) into 0 8.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.313 * [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))) 8.313 * [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)))) 8.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.316 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.316 * [backup-simplify]: Simplify (exp 0) into 1 8.316 * [taylor]: Taking taylor expansion of 1 in K 8.316 * [backup-simplify]: Simplify 1 into 1 8.316 * [taylor]: Taking taylor expansion of 1 in J 8.316 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify 1 into 1 8.317 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.317 * [taylor]: Taking taylor expansion of 0 in K 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [taylor]: Taking taylor expansion of 0 in J 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [taylor]: Taking taylor expansion of 0 in J 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.319 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.319 * [taylor]: Taking taylor expansion of 1/16 in K 8.319 * [backup-simplify]: Simplify 1/16 into 1/16 8.319 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.319 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.319 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.319 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.319 * [taylor]: Taking taylor expansion of 1/2 in K 8.319 * [backup-simplify]: Simplify 1/2 into 1/2 8.319 * [taylor]: Taking taylor expansion of K in K 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.320 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.320 * [taylor]: Taking taylor expansion of J in K 8.320 * [backup-simplify]: Simplify J into J 8.320 * [backup-simplify]: Simplify (* 1 1) into 1 8.320 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.321 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.321 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 8.321 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 8.321 * [taylor]: Taking taylor expansion of 1/16 in J 8.321 * [backup-simplify]: Simplify 1/16 into 1/16 8.321 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.321 * [taylor]: Taking taylor expansion of J in J 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (* 1 1) into 1 8.322 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 8.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 8.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [taylor]: Taking taylor expansion of 0 in J 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [taylor]: Taking taylor expansion of 0 in J 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 8.326 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 8.326 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 8.326 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 8.326 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 8.326 * [taylor]: Taking taylor expansion of 1/4 in J 8.326 * [backup-simplify]: Simplify 1/4 into 1/4 8.326 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.327 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.327 * [taylor]: Taking taylor expansion of 1/4 in J 8.327 * [backup-simplify]: Simplify 1/4 into 1/4 8.327 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.327 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.327 * [taylor]: Taking taylor expansion of J in J 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify 1 into 1 8.327 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.327 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.327 * [taylor]: Taking taylor expansion of U in J 8.327 * [backup-simplify]: Simplify U into U 8.327 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.327 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.327 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.327 * [taylor]: Taking taylor expansion of 1/2 in J 8.327 * [backup-simplify]: Simplify 1/2 into 1/2 8.327 * [taylor]: Taking taylor expansion of K in J 8.327 * [backup-simplify]: Simplify K into K 8.327 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.327 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.327 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.327 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.328 * [backup-simplify]: Simplify (- 0) into 0 8.328 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.328 * [backup-simplify]: Simplify (* 1 1) into 1 8.328 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.329 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.329 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.329 * [taylor]: Taking taylor expansion of 1 in J 8.329 * [backup-simplify]: Simplify 1 into 1 8.330 * [backup-simplify]: Simplify (+ 0 1) into 1 8.330 * [backup-simplify]: Simplify (log 1) into 0 8.330 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.333 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.333 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.336 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.336 * [backup-simplify]: Simplify (exp 0) into 1 8.336 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 8.336 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 8.336 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 8.336 * [taylor]: Taking taylor expansion of 1/4 in K 8.336 * [backup-simplify]: Simplify 1/4 into 1/4 8.336 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.336 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.336 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.336 * [taylor]: Taking taylor expansion of 1/4 in K 8.336 * [backup-simplify]: Simplify 1/4 into 1/4 8.336 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.337 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.337 * [taylor]: Taking taylor expansion of J in K 8.337 * [backup-simplify]: Simplify J into J 8.337 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.337 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.337 * [taylor]: Taking taylor expansion of U in K 8.337 * [backup-simplify]: Simplify U into U 8.337 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.337 * [taylor]: Taking taylor expansion of 1/2 in K 8.337 * [backup-simplify]: Simplify 1/2 into 1/2 8.337 * [taylor]: Taking taylor expansion of K in K 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.338 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.338 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.338 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.338 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.338 * [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))) 8.338 * [taylor]: Taking taylor expansion of 1 in K 8.338 * [backup-simplify]: Simplify 1 into 1 8.339 * [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)))) 8.339 * [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) 8.340 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.340 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 8.341 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 8.341 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 8.341 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 8.341 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 8.341 * [taylor]: Taking taylor expansion of 1/4 in U 8.341 * [backup-simplify]: Simplify 1/4 into 1/4 8.341 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.341 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.341 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.341 * [taylor]: Taking taylor expansion of 1/4 in U 8.341 * [backup-simplify]: Simplify 1/4 into 1/4 8.341 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.341 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.341 * [taylor]: Taking taylor expansion of J in U 8.341 * [backup-simplify]: Simplify J into J 8.341 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.341 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.341 * [taylor]: Taking taylor expansion of U in U 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.341 * [taylor]: Taking taylor expansion of 1/2 in U 8.342 * [backup-simplify]: Simplify 1/2 into 1/2 8.342 * [taylor]: Taking taylor expansion of K in U 8.342 * [backup-simplify]: Simplify K into K 8.342 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.342 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.342 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.342 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.342 * [backup-simplify]: Simplify (- 0) into 0 8.343 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.343 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.343 * [backup-simplify]: Simplify (* 1 1) into 1 8.343 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.343 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.344 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.344 * [taylor]: Taking taylor expansion of 1 in U 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [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))) 8.344 * [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))) 8.344 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.345 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.346 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.346 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.346 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 8.346 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 8.346 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 8.346 * [taylor]: Taking taylor expansion of 1/4 in U 8.346 * [backup-simplify]: Simplify 1/4 into 1/4 8.346 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.346 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.346 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.346 * [taylor]: Taking taylor expansion of 1/4 in U 8.346 * [backup-simplify]: Simplify 1/4 into 1/4 8.346 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.346 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.346 * [taylor]: Taking taylor expansion of J in U 8.346 * [backup-simplify]: Simplify J into J 8.346 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.346 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.346 * [taylor]: Taking taylor expansion of U in U 8.346 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.347 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.347 * [taylor]: Taking taylor expansion of 1/2 in U 8.347 * [backup-simplify]: Simplify 1/2 into 1/2 8.347 * [taylor]: Taking taylor expansion of K in U 8.347 * [backup-simplify]: Simplify K into K 8.347 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.347 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.347 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.347 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.347 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.347 * [backup-simplify]: Simplify (- 0) into 0 8.348 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.348 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.348 * [backup-simplify]: Simplify (* 1 1) into 1 8.348 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.349 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.349 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.349 * [taylor]: Taking taylor expansion of 1 in U 8.349 * [backup-simplify]: Simplify 1 into 1 8.349 * [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))) 8.350 * [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))) 8.350 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.355 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.355 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.356 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.356 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.356 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.356 * [taylor]: Taking taylor expansion of 1/4 in K 8.356 * [backup-simplify]: Simplify 1/4 into 1/4 8.356 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.356 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.356 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.356 * [taylor]: Taking taylor expansion of 1/4 in K 8.356 * [backup-simplify]: Simplify 1/4 into 1/4 8.356 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.356 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.356 * [taylor]: Taking taylor expansion of J in K 8.356 * [backup-simplify]: Simplify J into J 8.356 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.356 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.356 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.356 * [taylor]: Taking taylor expansion of 1/2 in K 8.356 * [backup-simplify]: Simplify 1/2 into 1/2 8.356 * [taylor]: Taking taylor expansion of K in K 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify 1 into 1 8.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.357 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.357 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.357 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.358 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.358 * [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))) 8.358 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.358 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.358 * [taylor]: Taking taylor expansion of 2 in K 8.358 * [backup-simplify]: Simplify 2 into 2 8.358 * [taylor]: Taking taylor expansion of (log U) in K 8.358 * [taylor]: Taking taylor expansion of U in K 8.358 * [backup-simplify]: Simplify U into U 8.358 * [backup-simplify]: Simplify (log U) into (log U) 8.358 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.358 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.359 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.359 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.360 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.360 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 8.360 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.360 * [taylor]: Taking taylor expansion of 1/4 in J 8.360 * [backup-simplify]: Simplify 1/4 into 1/4 8.360 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.360 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.360 * [taylor]: Taking taylor expansion of 1/4 in J 8.360 * [backup-simplify]: Simplify 1/4 into 1/4 8.360 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.360 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.360 * [taylor]: Taking taylor expansion of J in J 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 1 into 1 8.360 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.360 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.360 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.360 * [taylor]: Taking taylor expansion of 1/2 in J 8.360 * [backup-simplify]: Simplify 1/2 into 1/2 8.360 * [taylor]: Taking taylor expansion of K in J 8.360 * [backup-simplify]: Simplify K into K 8.360 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.360 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.360 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.361 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.361 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.361 * [backup-simplify]: Simplify (- 0) into 0 8.361 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.362 * [backup-simplify]: Simplify (* 1 1) into 1 8.362 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.362 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.362 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.362 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.362 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.362 * [taylor]: Taking taylor expansion of 2 in J 8.362 * [backup-simplify]: Simplify 2 into 2 8.362 * [taylor]: Taking taylor expansion of (log U) in J 8.362 * [taylor]: Taking taylor expansion of U in J 8.362 * [backup-simplify]: Simplify U into U 8.362 * [backup-simplify]: Simplify (log U) into (log U) 8.363 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 8.363 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.363 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.364 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.364 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.364 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.365 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.365 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.365 * [backup-simplify]: Simplify (+ 0) into 0 8.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.368 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (+ 0 0) into 0 8.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.370 * [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 8.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.371 * [backup-simplify]: Simplify (+ 0 0) into 0 8.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.373 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.374 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.375 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.375 * [taylor]: Taking taylor expansion of 0 in K 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [taylor]: Taking taylor expansion of 0 in J 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.376 * [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 8.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.378 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.379 * [backup-simplify]: Simplify (- 0) into 0 8.379 * [backup-simplify]: Simplify (+ 0 0) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.380 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.380 * [taylor]: Taking taylor expansion of 0 in J 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (+ 0) into 0 8.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.382 * [backup-simplify]: Simplify (- 0) into 0 8.382 * [backup-simplify]: Simplify (+ 0 0) into 0 8.383 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.383 * [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 8.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.385 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.385 * [backup-simplify]: Simplify (- 0) into 0 8.385 * [backup-simplify]: Simplify (+ 0 0) into 0 8.386 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.386 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.388 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.388 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.389 * [backup-simplify]: Simplify (- 0) into 0 8.389 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.391 * [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 8.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.393 * [backup-simplify]: Simplify (+ 0 1) into 1 8.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 8.396 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.397 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 8.398 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 8.398 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 8.398 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 8.398 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.398 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.398 * [taylor]: Taking taylor expansion of 1/4 in K 8.399 * [backup-simplify]: Simplify 1/4 into 1/4 8.399 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.399 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.399 * [taylor]: Taking taylor expansion of 1/4 in K 8.399 * [backup-simplify]: Simplify 1/4 into 1/4 8.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.399 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.399 * [taylor]: Taking taylor expansion of J in K 8.399 * [backup-simplify]: Simplify J into J 8.399 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.399 * [taylor]: Taking taylor expansion of 1/2 in K 8.399 * [backup-simplify]: Simplify 1/2 into 1/2 8.399 * [taylor]: Taking taylor expansion of K in K 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.400 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.400 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.400 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.400 * [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))) 8.401 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.401 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.401 * [taylor]: Taking taylor expansion of 2 in K 8.401 * [backup-simplify]: Simplify 2 into 2 8.401 * [taylor]: Taking taylor expansion of (log U) in K 8.401 * [taylor]: Taking taylor expansion of U in K 8.401 * [backup-simplify]: Simplify U into U 8.401 * [backup-simplify]: Simplify (log U) into (log U) 8.401 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.401 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.401 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.401 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.402 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.402 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.402 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.402 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.402 * [taylor]: Taking taylor expansion of 1/2 in K 8.402 * [backup-simplify]: Simplify 1/2 into 1/2 8.402 * [taylor]: Taking taylor expansion of K in K 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.402 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.402 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.402 * [taylor]: Taking taylor expansion of J in K 8.402 * [backup-simplify]: Simplify J into J 8.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.403 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 8.403 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.403 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 8.403 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 8.403 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 8.403 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 8.403 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.403 * [taylor]: Taking taylor expansion of 1/4 in J 8.403 * [backup-simplify]: Simplify 1/4 into 1/4 8.403 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.403 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.403 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.403 * [taylor]: Taking taylor expansion of 1/4 in J 8.403 * [backup-simplify]: Simplify 1/4 into 1/4 8.403 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.403 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.403 * [taylor]: Taking taylor expansion of J in J 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 1 into 1 8.403 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.403 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.403 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.403 * [taylor]: Taking taylor expansion of 1/2 in J 8.403 * [backup-simplify]: Simplify 1/2 into 1/2 8.403 * [taylor]: Taking taylor expansion of K in J 8.403 * [backup-simplify]: Simplify K into K 8.403 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.403 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.403 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.404 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.404 * [backup-simplify]: Simplify (- 0) into 0 8.404 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.404 * [backup-simplify]: Simplify (* 1 1) into 1 8.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.404 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.404 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.405 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.405 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.405 * [taylor]: Taking taylor expansion of 2 in J 8.405 * [backup-simplify]: Simplify 2 into 2 8.405 * [taylor]: Taking taylor expansion of (log U) in J 8.405 * [taylor]: Taking taylor expansion of U in J 8.405 * [backup-simplify]: Simplify U into U 8.405 * [backup-simplify]: Simplify (log U) into (log U) 8.405 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 8.405 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.405 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.405 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.406 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 8.406 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.406 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.406 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.406 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.406 * [taylor]: Taking taylor expansion of 1/2 in J 8.406 * [backup-simplify]: Simplify 1/2 into 1/2 8.406 * [taylor]: Taking taylor expansion of K in J 8.406 * [backup-simplify]: Simplify K into K 8.406 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.406 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.406 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.406 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.406 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.406 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.406 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.406 * [taylor]: Taking taylor expansion of J in J 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.407 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 8.407 * [backup-simplify]: Simplify (* 1 1) into 1 8.407 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 8.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.409 * [backup-simplify]: Simplify (+ 0) into 0 8.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.410 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.412 * [backup-simplify]: Simplify (- 0) into 0 8.412 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.413 * [backup-simplify]: Simplify (- 0) into 0 8.413 * [backup-simplify]: Simplify (+ 0 0) into 0 8.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.415 * [backup-simplify]: Simplify (+ 0) into 0 8.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.417 * [backup-simplify]: Simplify (- 0) into 0 8.417 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.418 * [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 8.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.421 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.421 * [backup-simplify]: Simplify (- 0) into 0 8.421 * [backup-simplify]: Simplify (+ 0 0) into 0 8.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.423 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.428 * [backup-simplify]: Simplify (- 0) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.429 * [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 8.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 8.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 8.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.435 * [backup-simplify]: Simplify (- 0) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.438 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.440 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.441 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [taylor]: Taking taylor expansion of 0 in J 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.447 * [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 8.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 8.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.456 * [taylor]: Taking taylor expansion of 0 in J 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 8.457 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 8.457 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 8.457 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 8.457 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 8.457 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 8.457 * [taylor]: Taking taylor expansion of 1/4 in J 8.457 * [backup-simplify]: Simplify 1/4 into 1/4 8.457 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.457 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.457 * [taylor]: Taking taylor expansion of 1 in J 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.457 * [taylor]: Taking taylor expansion of 1/4 in J 8.457 * [backup-simplify]: Simplify 1/4 into 1/4 8.457 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.457 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.457 * [taylor]: Taking taylor expansion of J in J 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.458 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.458 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.458 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.458 * [taylor]: Taking taylor expansion of -1/2 in J 8.458 * [backup-simplify]: Simplify -1/2 into -1/2 8.458 * [taylor]: Taking taylor expansion of K in J 8.458 * [backup-simplify]: Simplify K into K 8.458 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.458 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.458 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.458 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.458 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.459 * [backup-simplify]: Simplify (- 0) into 0 8.459 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.459 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.459 * [taylor]: Taking taylor expansion of U in J 8.459 * [backup-simplify]: Simplify U into U 8.459 * [backup-simplify]: Simplify (* 1 1) into 1 8.459 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.460 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.460 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.460 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.460 * [backup-simplify]: Simplify (+ 1 0) into 1 8.461 * [backup-simplify]: Simplify (log 1) into 0 8.461 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.462 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.464 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.464 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.467 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.467 * [backup-simplify]: Simplify (exp 0) into 1 8.467 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 8.467 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 8.467 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 8.467 * [taylor]: Taking taylor expansion of 1/4 in K 8.467 * [backup-simplify]: Simplify 1/4 into 1/4 8.467 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.468 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.468 * [taylor]: Taking taylor expansion of 1 in K 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.468 * [taylor]: Taking taylor expansion of 1/4 in K 8.468 * [backup-simplify]: Simplify 1/4 into 1/4 8.468 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.468 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.468 * [taylor]: Taking taylor expansion of J in K 8.468 * [backup-simplify]: Simplify J into J 8.468 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.468 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.468 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.468 * [taylor]: Taking taylor expansion of -1/2 in K 8.468 * [backup-simplify]: Simplify -1/2 into -1/2 8.468 * [taylor]: Taking taylor expansion of K in K 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.469 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.469 * [taylor]: Taking taylor expansion of U in K 8.469 * [backup-simplify]: Simplify U into U 8.469 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.469 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.469 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.469 * [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))) 8.470 * [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)))) 8.470 * [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))))) 8.471 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.471 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 8.472 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 8.472 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 8.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 8.472 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 8.472 * [taylor]: Taking taylor expansion of 1/4 in U 8.472 * [backup-simplify]: Simplify 1/4 into 1/4 8.472 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.472 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.472 * [taylor]: Taking taylor expansion of 1 in U 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.472 * [taylor]: Taking taylor expansion of 1/4 in U 8.472 * [backup-simplify]: Simplify 1/4 into 1/4 8.472 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.472 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.472 * [taylor]: Taking taylor expansion of J in U 8.472 * [backup-simplify]: Simplify J into J 8.472 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.472 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.472 * [taylor]: Taking taylor expansion of -1/2 in U 8.472 * [backup-simplify]: Simplify -1/2 into -1/2 8.472 * [taylor]: Taking taylor expansion of K in U 8.472 * [backup-simplify]: Simplify K into K 8.472 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.473 * [backup-simplify]: Simplify (- 0) into 0 8.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.473 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.473 * [taylor]: Taking taylor expansion of U in U 8.473 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.474 * [backup-simplify]: Simplify (* 1 1) into 1 8.474 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.474 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.475 * [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))) 8.475 * [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))) 8.475 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.476 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.477 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.477 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.477 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 8.477 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 8.477 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 8.477 * [taylor]: Taking taylor expansion of 1/4 in U 8.477 * [backup-simplify]: Simplify 1/4 into 1/4 8.477 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.477 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.477 * [taylor]: Taking taylor expansion of 1 in U 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.477 * [taylor]: Taking taylor expansion of 1/4 in U 8.477 * [backup-simplify]: Simplify 1/4 into 1/4 8.477 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.477 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.477 * [taylor]: Taking taylor expansion of J in U 8.477 * [backup-simplify]: Simplify J into J 8.477 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.477 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.478 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.478 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.478 * [taylor]: Taking taylor expansion of -1/2 in U 8.478 * [backup-simplify]: Simplify -1/2 into -1/2 8.478 * [taylor]: Taking taylor expansion of K in U 8.478 * [backup-simplify]: Simplify K into K 8.478 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.478 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.478 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.478 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.479 * [backup-simplify]: Simplify (- 0) into 0 8.479 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.479 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.479 * [taylor]: Taking taylor expansion of U in U 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 1 into 1 8.479 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.479 * [backup-simplify]: Simplify (* 1 1) into 1 8.480 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.480 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.480 * [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))) 8.480 * [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))) 8.481 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.481 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.482 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.482 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.482 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.482 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.482 * [taylor]: Taking taylor expansion of 1/4 in K 8.482 * [backup-simplify]: Simplify 1/4 into 1/4 8.482 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.482 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.483 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.483 * [taylor]: Taking taylor expansion of 1/4 in K 8.483 * [backup-simplify]: Simplify 1/4 into 1/4 8.483 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.483 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.483 * [taylor]: Taking taylor expansion of J in K 8.483 * [backup-simplify]: Simplify J into J 8.483 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.483 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.483 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.483 * [taylor]: Taking taylor expansion of -1/2 in K 8.483 * [backup-simplify]: Simplify -1/2 into -1/2 8.483 * [taylor]: Taking taylor expansion of K in K 8.483 * [backup-simplify]: Simplify 0 into 0 8.483 * [backup-simplify]: Simplify 1 into 1 8.483 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.484 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.484 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.484 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.484 * [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))) 8.484 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.485 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.485 * [taylor]: Taking taylor expansion of 2 in K 8.485 * [backup-simplify]: Simplify 2 into 2 8.485 * [taylor]: Taking taylor expansion of (log U) in K 8.485 * [taylor]: Taking taylor expansion of U in K 8.485 * [backup-simplify]: Simplify U into U 8.485 * [backup-simplify]: Simplify (log U) into (log U) 8.485 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.485 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.485 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.486 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.486 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.486 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 8.486 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.486 * [taylor]: Taking taylor expansion of 1/4 in J 8.486 * [backup-simplify]: Simplify 1/4 into 1/4 8.486 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.486 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.486 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.486 * [taylor]: Taking taylor expansion of 1/4 in J 8.486 * [backup-simplify]: Simplify 1/4 into 1/4 8.486 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.486 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.486 * [taylor]: Taking taylor expansion of J in J 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify 1 into 1 8.486 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.486 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.486 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.487 * [taylor]: Taking taylor expansion of -1/2 in J 8.487 * [backup-simplify]: Simplify -1/2 into -1/2 8.487 * [taylor]: Taking taylor expansion of K in J 8.487 * [backup-simplify]: Simplify K into K 8.487 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.487 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.487 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.487 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.487 * [backup-simplify]: Simplify (- 0) into 0 8.488 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.488 * [backup-simplify]: Simplify (* 1 1) into 1 8.488 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.488 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.488 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.489 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.489 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.489 * [taylor]: Taking taylor expansion of 2 in J 8.489 * [backup-simplify]: Simplify 2 into 2 8.489 * [taylor]: Taking taylor expansion of (log U) in J 8.489 * [taylor]: Taking taylor expansion of U in J 8.489 * [backup-simplify]: Simplify U into U 8.489 * [backup-simplify]: Simplify (log U) into (log U) 8.489 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 8.490 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.490 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.490 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.490 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.491 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.491 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.491 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.492 * [backup-simplify]: Simplify (+ 0) into 0 8.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.500 * [backup-simplify]: Simplify (- 0) into 0 8.501 * [backup-simplify]: Simplify (+ 0 0) into 0 8.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.502 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.502 * [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 8.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.503 * [backup-simplify]: Simplify (+ 0 0) into 0 8.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.505 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.507 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.507 * [taylor]: Taking taylor expansion of 0 in K 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [taylor]: Taking taylor expansion of 0 in J 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.508 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.512 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.512 * [backup-simplify]: Simplify (- 0) into 0 8.513 * [backup-simplify]: Simplify (+ 0 0) into 0 8.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.515 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.515 * [taylor]: Taking taylor expansion of 0 in J 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.516 * [backup-simplify]: Simplify (+ 0) into 0 8.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.517 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.518 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.518 * [backup-simplify]: Simplify (- 0) into 0 8.519 * [backup-simplify]: Simplify (+ 0 0) into 0 8.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.519 * [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 8.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 8.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 8.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.523 * [backup-simplify]: Simplify (- 0) into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.524 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.525 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.525 * [backup-simplify]: Simplify 0 into 0 8.525 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.529 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.530 * [backup-simplify]: Simplify (- 0) into 0 8.530 * [backup-simplify]: Simplify (+ 0 0) into 0 8.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.532 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.532 * [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 8.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.534 * [backup-simplify]: Simplify (+ 1 0) into 1 8.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 8.537 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.538 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 8.539 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 8.539 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 8.539 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 8.539 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.539 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.539 * [taylor]: Taking taylor expansion of -1/2 in K 8.539 * [backup-simplify]: Simplify -1/2 into -1/2 8.540 * [taylor]: Taking taylor expansion of K in K 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.540 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.540 * [taylor]: Taking taylor expansion of 1/4 in K 8.540 * [backup-simplify]: Simplify 1/4 into 1/4 8.540 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.540 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.540 * [taylor]: Taking taylor expansion of 1/4 in K 8.540 * [backup-simplify]: Simplify 1/4 into 1/4 8.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.540 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.540 * [taylor]: Taking taylor expansion of J in K 8.540 * [backup-simplify]: Simplify J into J 8.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.541 * [taylor]: Taking taylor expansion of -1/2 in K 8.541 * [backup-simplify]: Simplify -1/2 into -1/2 8.541 * [taylor]: Taking taylor expansion of K in K 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.541 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.541 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.542 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.542 * [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))) 8.542 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.542 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.542 * [taylor]: Taking taylor expansion of 2 in K 8.542 * [backup-simplify]: Simplify 2 into 2 8.542 * [taylor]: Taking taylor expansion of (log U) in K 8.542 * [taylor]: Taking taylor expansion of U in K 8.542 * [backup-simplify]: Simplify U into U 8.542 * [backup-simplify]: Simplify (log U) into (log U) 8.542 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.542 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.543 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.543 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.544 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.544 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.544 * [taylor]: Taking taylor expansion of J in K 8.544 * [backup-simplify]: Simplify J into J 8.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.544 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 8.544 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.545 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 8.545 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 8.545 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 8.545 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.545 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.545 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.545 * [taylor]: Taking taylor expansion of -1/2 in J 8.545 * [backup-simplify]: Simplify -1/2 into -1/2 8.545 * [taylor]: Taking taylor expansion of K in J 8.545 * [backup-simplify]: Simplify K into K 8.545 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.545 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.545 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.546 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.546 * [backup-simplify]: Simplify (- 0) into 0 8.546 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.546 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 8.546 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.546 * [taylor]: Taking taylor expansion of 1/4 in J 8.546 * [backup-simplify]: Simplify 1/4 into 1/4 8.546 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.546 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.546 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.546 * [taylor]: Taking taylor expansion of 1/4 in J 8.546 * [backup-simplify]: Simplify 1/4 into 1/4 8.546 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.547 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.547 * [taylor]: Taking taylor expansion of J in J 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.547 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.547 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.547 * [taylor]: Taking taylor expansion of -1/2 in J 8.547 * [backup-simplify]: Simplify -1/2 into -1/2 8.547 * [taylor]: Taking taylor expansion of K in J 8.547 * [backup-simplify]: Simplify K into K 8.547 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.547 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.547 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.547 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.547 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.548 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.548 * [backup-simplify]: Simplify (* 1 1) into 1 8.548 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.548 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.549 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.549 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.549 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.549 * [taylor]: Taking taylor expansion of 2 in J 8.549 * [backup-simplify]: Simplify 2 into 2 8.549 * [taylor]: Taking taylor expansion of (log U) in J 8.549 * [taylor]: Taking taylor expansion of U in J 8.549 * [backup-simplify]: Simplify U into U 8.549 * [backup-simplify]: Simplify (log U) into (log U) 8.549 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 8.550 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.550 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.550 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.550 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 8.551 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 8.551 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.551 * [taylor]: Taking taylor expansion of J in J 8.551 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.551 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 8.552 * [backup-simplify]: Simplify (* 1 1) into 1 8.552 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 8.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.553 * [backup-simplify]: Simplify (+ 0) into 0 8.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.556 * [backup-simplify]: Simplify (- 0) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.557 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 8.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 8.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.559 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.560 * [backup-simplify]: Simplify (- 0) into 0 8.560 * [backup-simplify]: Simplify (+ 0 0) into 0 8.561 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.565 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify (+ 0 0) into 0 8.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.567 * [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 8.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 8.570 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 8.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.573 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.573 * [backup-simplify]: Simplify (- 0) into 0 8.573 * [backup-simplify]: Simplify (+ 0 0) into 0 8.575 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.576 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.577 * [backup-simplify]: Simplify (+ 0) into 0 8.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.581 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.583 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.584 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.584 * [backup-simplify]: Simplify (- 0) into 0 8.584 * [backup-simplify]: Simplify (+ 0 0) into 0 8.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.586 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 8.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.587 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [taylor]: Taking taylor expansion of 0 in J 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.593 * [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 8.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 8.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.599 * [backup-simplify]: Simplify (- 0) into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.602 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.602 * [taylor]: Taking taylor expansion of 0 in J 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 8.602 * * * [progress]: simplifying candidates 8.602 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 8.603 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))> 8.604 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 8.604 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))> 8.605 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 8.605 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 8.606 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))> 8.607 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 8.607 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))> 8.608 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 8.608 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 8.609 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 8.610 * [simplify]: Simplifying: (log (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (exp (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 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U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* 1 1)))) (sqrt (sqrt (- (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))) 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 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 8.612 * * [simplify]: iteration 0: 92 enodes 8.641 * * [simplify]: iteration 1: 181 enodes 8.689 * * [simplify]: iteration 2: 501 enodes 8.929 * * [simplify]: iteration 3: 2188 enodes 9.742 * * [simplify]: iteration complete: 5001 enodes 9.742 * * [simplify]: Extracting #0: cost 35 inf + 0 9.743 * * [simplify]: Extracting #1: cost 128 inf + 3 9.744 * * [simplify]: Extracting #2: cost 560 inf + 446 9.747 * * [simplify]: Extracting #3: cost 1303 inf + 4535 9.755 * * [simplify]: Extracting #4: cost 2037 inf + 17353 9.768 * * [simplify]: Extracting #5: cost 1814 inf + 65909 9.810 * * [simplify]: Extracting #6: cost 1097 inf + 262785 9.947 * * [simplify]: Extracting #7: cost 160 inf + 604155 10.081 * * [simplify]: Extracting #8: cost 3 inf + 658846 10.252 * * [simplify]: Extracting #9: cost 0 inf + 657254 10.417 * * [simplify]: Extracting #10: cost 0 inf + 657114 10.571 * [simplify]: Simplified to: (log (sqrt (+ (* 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(cos (/ K 2)))) 1)) (sqrt (+ (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 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 (* (/ (/ (/ 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)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) -1)) 1/2 (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (real->posit16 (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (log (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (exp (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (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))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (fabs (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) 1 (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) 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)))) (/ (/ (/ 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))) (sqrt (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (sqrt (- (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) -1))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (log (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (exp (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (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))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (fabs (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) 1 (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) 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)))) (/ (/ (/ 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))) (sqrt (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (sqrt (sqrt (- (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) -1))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) 1 (* 1/2 (/ (/ U J) (cos (* K 1/2)))) (* 1/2 (/ (/ U J) (cos (* K 1/2)))) 1 (* 1/2 (/ (/ U J) (cos (* K 1/2)))) (* 1/2 (/ (/ U J) (cos (* K 1/2)))) 1 (exp (+ (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))) (* (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) 1/4))) 1 (exp (+ (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))) (* (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) 1/4))) 10.595 * * * [progress]: adding candidates to table 11.266 * * [progress]: iteration 3 / 4 11.266 * * * [progress]: picking best candidate 11.316 * * * * [pick]: Picked # 11.316 * * * [progress]: localizing error 11.393 * * * [progress]: generating rewritten candidates 11.393 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 11.634 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 11.727 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 11.826 * * * [progress]: generating series expansions 11.826 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.827 * [backup-simplify]: Simplify (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 11.827 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 11.827 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 11.827 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.827 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.827 * [taylor]: Taking taylor expansion of 1/4 in J 11.827 * [backup-simplify]: Simplify 1/4 into 1/4 11.827 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.827 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.827 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.827 * [taylor]: Taking taylor expansion of 1/4 in J 11.827 * [backup-simplify]: Simplify 1/4 into 1/4 11.827 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.827 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.827 * [taylor]: Taking taylor expansion of U in J 11.827 * [backup-simplify]: Simplify U into U 11.827 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.827 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.827 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.827 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.827 * [taylor]: Taking taylor expansion of 1/2 in J 11.827 * [backup-simplify]: Simplify 1/2 into 1/2 11.828 * [taylor]: Taking taylor expansion of K in J 11.828 * [backup-simplify]: Simplify K into K 11.828 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.828 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.828 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.828 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.829 * [backup-simplify]: Simplify (- 0) into 0 11.829 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.829 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.829 * [taylor]: Taking taylor expansion of J in J 11.829 * [backup-simplify]: Simplify 0 into 0 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.829 * [backup-simplify]: Simplify (* 1 1) into 1 11.830 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.830 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.830 * [taylor]: Taking taylor expansion of 1 in J 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [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))) 11.830 * [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))) 11.831 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.831 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.832 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.832 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.832 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 11.832 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.832 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.832 * [taylor]: Taking taylor expansion of 1/4 in K 11.832 * [backup-simplify]: Simplify 1/4 into 1/4 11.832 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.832 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.832 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.833 * [taylor]: Taking taylor expansion of 1/4 in K 11.833 * [backup-simplify]: Simplify 1/4 into 1/4 11.833 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.833 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.833 * [taylor]: Taking taylor expansion of U in K 11.833 * [backup-simplify]: Simplify U into U 11.833 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.833 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.833 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.833 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.833 * [taylor]: Taking taylor expansion of 1/2 in K 11.833 * [backup-simplify]: Simplify 1/2 into 1/2 11.833 * [taylor]: Taking taylor expansion of K in K 11.833 * [backup-simplify]: Simplify 0 into 0 11.833 * [backup-simplify]: Simplify 1 into 1 11.833 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.834 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.834 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.834 * [taylor]: Taking taylor expansion of J in K 11.834 * [backup-simplify]: Simplify J into J 11.834 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.835 * [backup-simplify]: Simplify (* 1 1) into 1 11.835 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.835 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.835 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.835 * [taylor]: Taking taylor expansion of 1 in K 11.835 * [backup-simplify]: Simplify 1 into 1 11.835 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.836 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.836 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.836 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.837 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 11.837 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.837 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.837 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.837 * [taylor]: Taking taylor expansion of 1/4 in U 11.837 * [backup-simplify]: Simplify 1/4 into 1/4 11.837 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.837 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.837 * [taylor]: Taking taylor expansion of 1/4 in U 11.837 * [backup-simplify]: Simplify 1/4 into 1/4 11.837 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.837 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.837 * [taylor]: Taking taylor expansion of U in U 11.837 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify 1 into 1 11.837 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.837 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.837 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.837 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.837 * [taylor]: Taking taylor expansion of 1/2 in U 11.837 * [backup-simplify]: Simplify 1/2 into 1/2 11.837 * [taylor]: Taking taylor expansion of K in U 11.837 * [backup-simplify]: Simplify K into K 11.837 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.837 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.837 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.837 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.838 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.838 * [backup-simplify]: Simplify (- 0) into 0 11.838 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.838 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.838 * [taylor]: Taking taylor expansion of J in U 11.838 * [backup-simplify]: Simplify J into J 11.839 * [backup-simplify]: Simplify (* 1 1) into 1 11.839 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.839 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.839 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.839 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.839 * [taylor]: Taking taylor expansion of 1 in U 11.839 * [backup-simplify]: Simplify 1 into 1 11.840 * [backup-simplify]: Simplify (+ 0 1) into 1 11.840 * [backup-simplify]: Simplify (log 1) into 0 11.841 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.841 * [backup-simplify]: Simplify (+ 0 0) into 0 11.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.842 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.843 * [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))) 11.843 * [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)))) 11.844 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.845 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.845 * [backup-simplify]: Simplify (exp 0) into 1 11.845 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.845 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.845 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.845 * [taylor]: Taking taylor expansion of 1/4 in U 11.845 * [backup-simplify]: Simplify 1/4 into 1/4 11.845 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.845 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.845 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.845 * [taylor]: Taking taylor expansion of 1/4 in U 11.845 * [backup-simplify]: Simplify 1/4 into 1/4 11.845 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.845 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.845 * [taylor]: Taking taylor expansion of U in U 11.845 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify 1 into 1 11.845 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.845 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.845 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.845 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.845 * [taylor]: Taking taylor expansion of 1/2 in U 11.845 * [backup-simplify]: Simplify 1/2 into 1/2 11.845 * [taylor]: Taking taylor expansion of K in U 11.845 * [backup-simplify]: Simplify K into K 11.845 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.845 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.845 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.845 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.845 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.846 * [backup-simplify]: Simplify (- 0) into 0 11.846 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.846 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.846 * [taylor]: Taking taylor expansion of J in U 11.846 * [backup-simplify]: Simplify J into J 11.849 * [backup-simplify]: Simplify (* 1 1) into 1 11.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.849 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.850 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.850 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.850 * [taylor]: Taking taylor expansion of 1 in U 11.850 * [backup-simplify]: Simplify 1 into 1 11.850 * [backup-simplify]: Simplify (+ 0 1) into 1 11.850 * [backup-simplify]: Simplify (log 1) into 0 11.851 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.852 * [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))) 11.852 * [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)))) 11.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.854 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.854 * [backup-simplify]: Simplify (exp 0) into 1 11.854 * [taylor]: Taking taylor expansion of 1 in K 11.854 * [backup-simplify]: Simplify 1 into 1 11.854 * [taylor]: Taking taylor expansion of 1 in J 11.854 * [backup-simplify]: Simplify 1 into 1 11.854 * [backup-simplify]: Simplify 1 into 1 11.855 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.855 * [taylor]: Taking taylor expansion of 0 in K 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [taylor]: Taking taylor expansion of 0 in J 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [taylor]: Taking taylor expansion of 0 in J 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.856 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.856 * [taylor]: Taking taylor expansion of 1/16 in K 11.856 * [backup-simplify]: Simplify 1/16 into 1/16 11.856 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.856 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.856 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.856 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.856 * [taylor]: Taking taylor expansion of 1/2 in K 11.856 * [backup-simplify]: Simplify 1/2 into 1/2 11.856 * [taylor]: Taking taylor expansion of K in K 11.856 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify 1 into 1 11.856 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.857 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.857 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.857 * [taylor]: Taking taylor expansion of J in K 11.857 * [backup-simplify]: Simplify J into J 11.857 * [backup-simplify]: Simplify (* 1 1) into 1 11.857 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.857 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.857 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 11.857 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 11.857 * [taylor]: Taking taylor expansion of 1/16 in J 11.857 * [backup-simplify]: Simplify 1/16 into 1/16 11.857 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.857 * [taylor]: Taking taylor expansion of J in J 11.857 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify 1 into 1 11.858 * [backup-simplify]: Simplify (* 1 1) into 1 11.858 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 11.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [taylor]: Taking taylor expansion of 0 in J 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [taylor]: Taking taylor expansion of 0 in J 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 1 into 1 11.861 * [backup-simplify]: Simplify (pow (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1) 1/4) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.861 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 11.861 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 11.861 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.861 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.861 * [taylor]: Taking taylor expansion of 1/4 in J 11.861 * [backup-simplify]: Simplify 1/4 into 1/4 11.861 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.861 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.861 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.861 * [taylor]: Taking taylor expansion of 1/4 in J 11.861 * [backup-simplify]: Simplify 1/4 into 1/4 11.861 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.861 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.861 * [taylor]: Taking taylor expansion of J in J 11.861 * [backup-simplify]: Simplify 0 into 0 11.861 * [backup-simplify]: Simplify 1 into 1 11.861 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.861 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.861 * [taylor]: Taking taylor expansion of U in J 11.861 * [backup-simplify]: Simplify U into U 11.861 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.861 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.861 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.861 * [taylor]: Taking taylor expansion of 1/2 in J 11.861 * [backup-simplify]: Simplify 1/2 into 1/2 11.861 * [taylor]: Taking taylor expansion of K in J 11.861 * [backup-simplify]: Simplify K into K 11.861 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.861 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.861 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.861 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.861 * [backup-simplify]: Simplify (- 0) into 0 11.862 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.862 * [backup-simplify]: Simplify (* 1 1) into 1 11.862 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.862 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.862 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.862 * [taylor]: Taking taylor expansion of 1 in J 11.862 * [backup-simplify]: Simplify 1 into 1 11.862 * [backup-simplify]: Simplify (+ 0 1) into 1 11.863 * [backup-simplify]: Simplify (log 1) into 0 11.863 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.863 * [backup-simplify]: Simplify (+ 0 0) into 0 11.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.865 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.865 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.866 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.867 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.867 * [backup-simplify]: Simplify (exp 0) into 1 11.867 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 11.867 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.867 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.867 * [taylor]: Taking taylor expansion of 1/4 in K 11.867 * [backup-simplify]: Simplify 1/4 into 1/4 11.867 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.867 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.867 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.867 * [taylor]: Taking taylor expansion of 1/4 in K 11.867 * [backup-simplify]: Simplify 1/4 into 1/4 11.867 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.867 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.867 * [taylor]: Taking taylor expansion of J in K 11.867 * [backup-simplify]: Simplify J into J 11.867 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.867 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.867 * [taylor]: Taking taylor expansion of U in K 11.867 * [backup-simplify]: Simplify U into U 11.867 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.867 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.867 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.867 * [taylor]: Taking taylor expansion of 1/2 in K 11.867 * [backup-simplify]: Simplify 1/2 into 1/2 11.867 * [taylor]: Taking taylor expansion of K in K 11.867 * [backup-simplify]: Simplify 0 into 0 11.867 * [backup-simplify]: Simplify 1 into 1 11.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.867 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.867 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.867 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.868 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.868 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.868 * [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))) 11.868 * [taylor]: Taking taylor expansion of 1 in K 11.868 * [backup-simplify]: Simplify 1 into 1 11.868 * [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)))) 11.869 * [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) 11.869 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.869 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.870 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.870 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.870 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.870 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.870 * [taylor]: Taking taylor expansion of 1/4 in U 11.870 * [backup-simplify]: Simplify 1/4 into 1/4 11.870 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.870 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.870 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.870 * [taylor]: Taking taylor expansion of 1/4 in U 11.870 * [backup-simplify]: Simplify 1/4 into 1/4 11.870 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.870 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.870 * [taylor]: Taking taylor expansion of J in U 11.870 * [backup-simplify]: Simplify J into J 11.870 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.870 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.870 * [taylor]: Taking taylor expansion of U in U 11.870 * [backup-simplify]: Simplify 0 into 0 11.870 * [backup-simplify]: Simplify 1 into 1 11.870 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.871 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.871 * [taylor]: Taking taylor expansion of 1/2 in U 11.871 * [backup-simplify]: Simplify 1/2 into 1/2 11.871 * [taylor]: Taking taylor expansion of K in U 11.871 * [backup-simplify]: Simplify K into K 11.871 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.871 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.871 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.871 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.872 * [backup-simplify]: Simplify (- 0) into 0 11.872 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.872 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.872 * [backup-simplify]: Simplify (* 1 1) into 1 11.872 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.873 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.873 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.873 * [taylor]: Taking taylor expansion of 1 in U 11.873 * [backup-simplify]: Simplify 1 into 1 11.873 * [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))) 11.874 * [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))) 11.874 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.875 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.875 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.875 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.875 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.875 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.876 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.876 * [taylor]: Taking taylor expansion of 1/4 in U 11.876 * [backup-simplify]: Simplify 1/4 into 1/4 11.876 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.876 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.876 * [taylor]: Taking taylor expansion of 1/4 in U 11.876 * [backup-simplify]: Simplify 1/4 into 1/4 11.876 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.876 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.876 * [taylor]: Taking taylor expansion of J in U 11.876 * [backup-simplify]: Simplify J into J 11.876 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.876 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.876 * [taylor]: Taking taylor expansion of U in U 11.876 * [backup-simplify]: Simplify 0 into 0 11.876 * [backup-simplify]: Simplify 1 into 1 11.876 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.876 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.876 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.876 * [taylor]: Taking taylor expansion of 1/2 in U 11.876 * [backup-simplify]: Simplify 1/2 into 1/2 11.876 * [taylor]: Taking taylor expansion of K in U 11.876 * [backup-simplify]: Simplify K into K 11.876 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.877 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.877 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.877 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.877 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.877 * [backup-simplify]: Simplify (- 0) into 0 11.877 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.878 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.878 * [backup-simplify]: Simplify (* 1 1) into 1 11.878 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.878 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.879 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.879 * [taylor]: Taking taylor expansion of 1 in U 11.879 * [backup-simplify]: Simplify 1 into 1 11.879 * [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))) 11.879 * [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))) 11.880 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.880 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.881 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.881 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.881 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.881 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.881 * [taylor]: Taking taylor expansion of 1/4 in K 11.881 * [backup-simplify]: Simplify 1/4 into 1/4 11.881 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.881 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 11.882 * [taylor]: Taking taylor expansion of 1/4 in K 11.882 * [backup-simplify]: Simplify 1/4 into 1/4 11.882 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 11.882 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.882 * [taylor]: Taking taylor expansion of J in K 11.882 * [backup-simplify]: Simplify J into J 11.882 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.882 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.882 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.882 * [taylor]: Taking taylor expansion of 1/2 in K 11.882 * [backup-simplify]: Simplify 1/2 into 1/2 11.882 * [taylor]: Taking taylor expansion of K in K 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 1 into 1 11.882 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.882 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.883 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.883 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.883 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.883 * [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))) 11.883 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.883 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.884 * [taylor]: Taking taylor expansion of 2 in K 11.884 * [backup-simplify]: Simplify 2 into 2 11.884 * [taylor]: Taking taylor expansion of (log U) in K 11.884 * [taylor]: Taking taylor expansion of U in K 11.884 * [backup-simplify]: Simplify U into U 11.884 * [backup-simplify]: Simplify (log U) into (log U) 11.884 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.884 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.884 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.885 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.885 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.885 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.885 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.885 * [taylor]: Taking taylor expansion of 1/4 in J 11.885 * [backup-simplify]: Simplify 1/4 into 1/4 11.885 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.885 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.885 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.885 * [taylor]: Taking taylor expansion of 1/4 in J 11.885 * [backup-simplify]: Simplify 1/4 into 1/4 11.885 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.885 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.885 * [taylor]: Taking taylor expansion of J in J 11.885 * [backup-simplify]: Simplify 0 into 0 11.885 * [backup-simplify]: Simplify 1 into 1 11.885 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.885 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.885 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.885 * [taylor]: Taking taylor expansion of 1/2 in J 11.885 * [backup-simplify]: Simplify 1/2 into 1/2 11.886 * [taylor]: Taking taylor expansion of K in J 11.886 * [backup-simplify]: Simplify K into K 11.886 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.886 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.886 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.886 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.886 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.886 * [backup-simplify]: Simplify (- 0) into 0 11.886 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.887 * [backup-simplify]: Simplify (* 1 1) into 1 11.887 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.887 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.887 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.887 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.888 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.888 * [taylor]: Taking taylor expansion of 2 in J 11.888 * [backup-simplify]: Simplify 2 into 2 11.888 * [taylor]: Taking taylor expansion of (log U) in J 11.888 * [taylor]: Taking taylor expansion of U in J 11.888 * [backup-simplify]: Simplify U into U 11.888 * [backup-simplify]: Simplify (log U) into (log U) 11.888 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.888 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.889 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.889 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.889 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.890 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.890 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.890 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.891 * [backup-simplify]: Simplify (+ 0) into 0 11.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.893 * [backup-simplify]: Simplify (- 0) into 0 11.893 * [backup-simplify]: Simplify (+ 0 0) into 0 11.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.895 * [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 11.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.896 * [backup-simplify]: Simplify (+ 0 0) into 0 11.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.898 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.900 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.900 * [taylor]: Taking taylor expansion of 0 in K 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [taylor]: Taking taylor expansion of 0 in J 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.901 * [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 11.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.904 * [backup-simplify]: Simplify (- 0) into 0 11.905 * [backup-simplify]: Simplify (+ 0 0) into 0 11.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.907 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.907 * [taylor]: Taking taylor expansion of 0 in J 11.907 * [backup-simplify]: Simplify 0 into 0 11.907 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.908 * [backup-simplify]: Simplify (+ 0) into 0 11.908 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.910 * [backup-simplify]: Simplify (- 0) into 0 11.910 * [backup-simplify]: Simplify (+ 0 0) into 0 11.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.911 * [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 11.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.914 * [backup-simplify]: Simplify (- 0) into 0 11.915 * [backup-simplify]: Simplify (+ 0 0) into 0 11.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.916 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.916 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.921 * [backup-simplify]: Simplify (- 0) into 0 11.922 * [backup-simplify]: Simplify (+ 0 0) into 0 11.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.925 * [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 11.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.926 * [backup-simplify]: Simplify (+ 0 1) into 1 11.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.929 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.930 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 11.932 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.932 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 11.932 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 11.932 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.932 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.932 * [taylor]: Taking taylor expansion of 1/4 in K 11.932 * [backup-simplify]: Simplify 1/4 into 1/4 11.932 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.932 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.932 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 11.932 * [taylor]: Taking taylor expansion of 1/4 in K 11.932 * [backup-simplify]: Simplify 1/4 into 1/4 11.932 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 11.932 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.932 * [taylor]: Taking taylor expansion of J in K 11.932 * [backup-simplify]: Simplify J into J 11.932 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.932 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.932 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.932 * [taylor]: Taking taylor expansion of 1/2 in K 11.932 * [backup-simplify]: Simplify 1/2 into 1/2 11.932 * [taylor]: Taking taylor expansion of K in K 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 1 into 1 11.933 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.933 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.933 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.933 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.933 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.934 * [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))) 11.934 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.934 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.934 * [taylor]: Taking taylor expansion of 2 in K 11.934 * [backup-simplify]: Simplify 2 into 2 11.934 * [taylor]: Taking taylor expansion of (log U) in K 11.934 * [taylor]: Taking taylor expansion of U in K 11.934 * [backup-simplify]: Simplify U into U 11.934 * [backup-simplify]: Simplify (log U) into (log U) 11.934 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.934 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.935 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.935 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.935 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.935 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.936 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.936 * [taylor]: Taking taylor expansion of 1/2 in K 11.936 * [backup-simplify]: Simplify 1/2 into 1/2 11.936 * [taylor]: Taking taylor expansion of K in K 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.936 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.936 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.936 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.936 * [taylor]: Taking taylor expansion of J in K 11.937 * [backup-simplify]: Simplify J into J 11.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.937 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.937 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.938 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.938 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.938 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.938 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.938 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.938 * [taylor]: Taking taylor expansion of 1/4 in J 11.938 * [backup-simplify]: Simplify 1/4 into 1/4 11.938 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.938 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.938 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.938 * [taylor]: Taking taylor expansion of 1/4 in J 11.938 * [backup-simplify]: Simplify 1/4 into 1/4 11.938 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.938 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.938 * [taylor]: Taking taylor expansion of J in J 11.938 * [backup-simplify]: Simplify 0 into 0 11.938 * [backup-simplify]: Simplify 1 into 1 11.939 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.939 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.939 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.939 * [taylor]: Taking taylor expansion of 1/2 in J 11.939 * [backup-simplify]: Simplify 1/2 into 1/2 11.939 * [taylor]: Taking taylor expansion of K in J 11.939 * [backup-simplify]: Simplify K into K 11.939 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.939 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.939 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.939 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.939 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.940 * [backup-simplify]: Simplify (- 0) into 0 11.940 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.940 * [backup-simplify]: Simplify (* 1 1) into 1 11.940 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.940 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.941 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.941 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.941 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.941 * [taylor]: Taking taylor expansion of 2 in J 11.941 * [backup-simplify]: Simplify 2 into 2 11.941 * [taylor]: Taking taylor expansion of (log U) in J 11.941 * [taylor]: Taking taylor expansion of U in J 11.941 * [backup-simplify]: Simplify U into U 11.941 * [backup-simplify]: Simplify (log U) into (log U) 11.942 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.942 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.942 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.943 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.943 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.943 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 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 11.943 * [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 11.944 * [taylor]: Taking taylor expansion of J in J 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [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 (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.945 * [backup-simplify]: Simplify (* 1 1) into 1 11.946 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.947 * [backup-simplify]: Simplify (+ 0) into 0 11.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.949 * [backup-simplify]: Simplify (- 0) into 0 11.949 * [backup-simplify]: Simplify (+ 0 0) into 0 11.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.950 * [backup-simplify]: Simplify (- 0) into 0 11.950 * [backup-simplify]: Simplify (+ 0 0) into 0 11.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.951 * [backup-simplify]: Simplify (+ 0) into 0 11.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.951 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.952 * [backup-simplify]: Simplify (- 0) into 0 11.953 * [backup-simplify]: Simplify (+ 0 0) into 0 11.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.953 * [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 11.953 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.955 * [backup-simplify]: Simplify (- 0) into 0 11.955 * [backup-simplify]: Simplify (+ 0 0) into 0 11.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.956 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.959 * [backup-simplify]: Simplify (- 0) into 0 11.960 * [backup-simplify]: Simplify (+ 0 0) into 0 11.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.960 * [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 11.961 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.964 * [backup-simplify]: Simplify (- 0) into 0 11.964 * [backup-simplify]: Simplify (+ 0 0) into 0 11.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.966 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.966 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.967 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [taylor]: Taking taylor expansion of 0 in J 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.970 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.971 * [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 11.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 11.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.980 * [backup-simplify]: Simplify (- 0) into 0 11.981 * [backup-simplify]: Simplify (+ 0 0) into 0 11.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.984 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.984 * [taylor]: Taking taylor expansion of 0 in J 11.984 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.985 * [backup-simplify]: Simplify (pow (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1) 1/4) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.985 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 11.985 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 11.985 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.985 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.985 * [taylor]: Taking taylor expansion of 1/4 in J 11.985 * [backup-simplify]: Simplify 1/4 into 1/4 11.985 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.985 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.985 * [taylor]: Taking taylor expansion of 1 in J 11.985 * [backup-simplify]: Simplify 1 into 1 11.985 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.985 * [taylor]: Taking taylor expansion of 1/4 in J 11.985 * [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 J 11.985 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.985 * [taylor]: Taking taylor expansion of J in J 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify 1 into 1 11.985 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.986 * [taylor]: Taking taylor expansion of -1/2 in J 11.986 * [backup-simplify]: Simplify -1/2 into -1/2 11.986 * [taylor]: Taking taylor expansion of K in J 11.986 * [backup-simplify]: Simplify K into K 11.986 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.986 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.987 * [backup-simplify]: Simplify (- 0) into 0 11.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.987 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.987 * [taylor]: Taking taylor expansion of U in J 11.987 * [backup-simplify]: Simplify U into U 11.987 * [backup-simplify]: Simplify (* 1 1) into 1 11.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.987 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.988 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.988 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.988 * [backup-simplify]: Simplify (+ 1 0) into 1 11.989 * [backup-simplify]: Simplify (log 1) into 0 11.989 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.990 * [backup-simplify]: Simplify (+ 0 0) into 0 11.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.992 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.993 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.995 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.996 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.996 * [backup-simplify]: Simplify (exp 0) into 1 11.996 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 11.996 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.996 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.996 * [taylor]: Taking taylor expansion of 1/4 in K 11.996 * [backup-simplify]: Simplify 1/4 into 1/4 11.996 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.996 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.996 * [taylor]: Taking taylor expansion of 1 in K 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 K 11.996 * [taylor]: Taking taylor expansion of 1/4 in K 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 K 11.996 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.996 * [taylor]: Taking taylor expansion of J in K 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 K 11.996 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.996 * [taylor]: Taking taylor expansion of -1/2 in K 11.996 * [backup-simplify]: Simplify -1/2 into -1/2 11.996 * [taylor]: Taking taylor expansion of K in K 11.996 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify 1 into 1 11.997 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.997 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.997 * [taylor]: Taking taylor expansion of U in K 11.997 * [backup-simplify]: Simplify U into U 11.997 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.997 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.998 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.998 * [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))) 11.998 * [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)))) 11.999 * [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))))) 11.999 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.000 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 12.001 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 12.001 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 12.001 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.001 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.001 * [taylor]: Taking taylor expansion of 1/4 in U 12.001 * [backup-simplify]: Simplify 1/4 into 1/4 12.001 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.001 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.001 * [taylor]: Taking taylor expansion of 1 in U 12.001 * [backup-simplify]: Simplify 1 into 1 12.001 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.001 * [taylor]: Taking taylor expansion of 1/4 in U 12.001 * [backup-simplify]: Simplify 1/4 into 1/4 12.001 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.001 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.001 * [taylor]: Taking taylor expansion of J in U 12.001 * [backup-simplify]: Simplify J into J 12.001 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.001 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.001 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.001 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.001 * [taylor]: Taking taylor expansion of -1/2 in U 12.001 * [backup-simplify]: Simplify -1/2 into -1/2 12.001 * [taylor]: Taking taylor expansion of K in U 12.001 * [backup-simplify]: Simplify K into K 12.001 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.001 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.001 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.002 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.002 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.002 * [backup-simplify]: Simplify (- 0) into 0 12.002 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.002 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.002 * [taylor]: Taking taylor expansion of U in U 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.003 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.003 * [backup-simplify]: Simplify (* 1 1) into 1 12.003 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.003 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.004 * [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))) 12.004 * [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))) 12.004 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.005 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.005 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.006 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.006 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 12.006 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.006 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.006 * [taylor]: Taking taylor expansion of 1/4 in U 12.006 * [backup-simplify]: Simplify 1/4 into 1/4 12.006 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.006 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.006 * [taylor]: Taking taylor expansion of 1 in U 12.006 * [backup-simplify]: Simplify 1 into 1 12.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.006 * [taylor]: Taking taylor expansion of 1/4 in U 12.006 * [backup-simplify]: Simplify 1/4 into 1/4 12.006 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.006 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.006 * [taylor]: Taking taylor expansion of J in U 12.006 * [backup-simplify]: Simplify J into J 12.006 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.006 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.006 * [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 12.007 * [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 12.008 * [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))) 12.010 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.011 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.011 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.011 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.012 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 12.012 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 12.012 * [taylor]: Taking taylor expansion of 1/4 in K 12.012 * [backup-simplify]: Simplify 1/4 into 1/4 12.012 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 12.012 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 12.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 12.012 * [taylor]: Taking taylor expansion of 1/4 in K 12.012 * [backup-simplify]: Simplify 1/4 into 1/4 12.012 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 12.012 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.012 * [taylor]: Taking taylor expansion of J in K 12.012 * [backup-simplify]: Simplify J into J 12.012 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.012 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.012 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.012 * [taylor]: Taking taylor expansion of -1/2 in K 12.012 * [backup-simplify]: Simplify -1/2 into -1/2 12.012 * [taylor]: Taking taylor expansion of K in K 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.013 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.013 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.013 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.013 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.013 * [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))) 12.014 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.014 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.014 * [taylor]: Taking taylor expansion of 2 in K 12.014 * [backup-simplify]: Simplify 2 into 2 12.014 * [taylor]: Taking taylor expansion of (log U) in K 12.014 * [taylor]: Taking taylor expansion of U in K 12.014 * [backup-simplify]: Simplify U into U 12.014 * [backup-simplify]: Simplify (log U) into (log U) 12.014 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.014 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.014 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.015 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.015 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.015 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.015 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.015 * [taylor]: Taking taylor expansion of 1/4 in J 12.015 * [backup-simplify]: Simplify 1/4 into 1/4 12.015 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.015 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.016 * [taylor]: Taking taylor expansion of 1/4 in J 12.016 * [backup-simplify]: Simplify 1/4 into 1/4 12.016 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.016 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.016 * [taylor]: Taking taylor expansion of J in J 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.016 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.016 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.016 * [taylor]: Taking taylor expansion of -1/2 in J 12.016 * [backup-simplify]: Simplify -1/2 into -1/2 12.016 * [taylor]: Taking taylor expansion of K in J 12.016 * [backup-simplify]: Simplify K into K 12.016 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.016 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.016 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.016 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.017 * [backup-simplify]: Simplify (- 0) into 0 12.017 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.017 * [backup-simplify]: Simplify (* 1 1) into 1 12.017 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.018 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.018 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.018 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.018 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.018 * [taylor]: Taking taylor expansion of 2 in J 12.018 * [backup-simplify]: Simplify 2 into 2 12.018 * [taylor]: Taking taylor expansion of (log U) in J 12.018 * [taylor]: Taking taylor expansion of U in J 12.018 * [backup-simplify]: Simplify U into U 12.018 * [backup-simplify]: Simplify (log U) into (log U) 12.019 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.019 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.019 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.020 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.020 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.021 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.021 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.021 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.023 * [backup-simplify]: Simplify (+ 0) into 0 12.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.026 * [backup-simplify]: Simplify (- 0) into 0 12.026 * [backup-simplify]: Simplify (+ 0 0) into 0 12.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.027 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 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))))) into 0 12.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.028 * [backup-simplify]: Simplify (+ 0 0) into 0 12.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 12.030 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.032 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.032 * [taylor]: Taking taylor expansion of 0 in K 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [taylor]: Taking taylor expansion of 0 in J 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.033 * [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 12.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 12.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.037 * [backup-simplify]: Simplify (- 0) into 0 12.038 * [backup-simplify]: Simplify (+ 0 0) into 0 12.038 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.040 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.040 * [taylor]: Taking taylor expansion of 0 in J 12.040 * [backup-simplify]: Simplify 0 into 0 12.040 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.041 * [backup-simplify]: Simplify (+ 0) into 0 12.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.042 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.043 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.044 * [backup-simplify]: Simplify (- 0) into 0 12.044 * [backup-simplify]: Simplify (+ 0 0) into 0 12.044 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.045 * [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 12.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.048 * [backup-simplify]: Simplify (- 0) into 0 12.048 * [backup-simplify]: Simplify (+ 0 0) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.050 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.050 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.054 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.055 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.055 * [backup-simplify]: Simplify (- 0) into 0 12.056 * [backup-simplify]: Simplify (+ 0 0) into 0 12.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.057 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.058 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.059 * [backup-simplify]: Simplify (+ 1 0) into 1 12.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 12.062 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.063 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 12.065 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 12.065 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 12.065 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 12.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.065 * [taylor]: Taking taylor expansion of -1/2 in K 12.065 * [backup-simplify]: Simplify -1/2 into -1/2 12.065 * [taylor]: Taking taylor expansion of K in K 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.066 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.066 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 12.066 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 12.066 * [taylor]: Taking taylor expansion of 1/4 in K 12.066 * [backup-simplify]: Simplify 1/4 into 1/4 12.066 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 12.066 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 12.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 12.066 * [taylor]: Taking taylor expansion of 1/4 in K 12.066 * [backup-simplify]: Simplify 1/4 into 1/4 12.066 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 12.066 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.066 * [taylor]: Taking taylor expansion of J in K 12.066 * [backup-simplify]: Simplify J into J 12.066 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.066 * [taylor]: Taking taylor expansion of -1/2 in K 12.066 * [backup-simplify]: Simplify -1/2 into -1/2 12.066 * [taylor]: Taking taylor expansion of K in K 12.066 * [backup-simplify]: Simplify 0 into 0 12.066 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.067 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.067 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.067 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.067 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.067 * [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))) 12.068 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.068 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.068 * [taylor]: Taking taylor expansion of 2 in K 12.068 * [backup-simplify]: Simplify 2 into 2 12.068 * [taylor]: Taking taylor expansion of (log U) in K 12.068 * [taylor]: Taking taylor expansion of U in K 12.068 * [backup-simplify]: Simplify U into U 12.068 * [backup-simplify]: Simplify (log U) into (log U) 12.068 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.068 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.069 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.069 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.070 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.070 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.070 * [taylor]: Taking taylor expansion of J in K 12.070 * [backup-simplify]: Simplify J into J 12.070 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.070 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.070 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.071 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 12.071 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 12.071 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 12.071 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.071 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.071 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.071 * [taylor]: Taking taylor expansion of -1/2 in J 12.071 * [backup-simplify]: Simplify -1/2 into -1/2 12.071 * [taylor]: Taking taylor expansion of K in J 12.071 * [backup-simplify]: Simplify K into K 12.071 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.071 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.072 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.072 * [backup-simplify]: Simplify (- 0) into 0 12.072 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.072 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.072 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.072 * [taylor]: Taking taylor expansion of 1/4 in J 12.072 * [backup-simplify]: Simplify 1/4 into 1/4 12.072 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.072 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.073 * [taylor]: Taking taylor expansion of 1/4 in J 12.073 * [backup-simplify]: Simplify 1/4 into 1/4 12.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.073 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.073 * [taylor]: Taking taylor expansion of J in J 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 1 into 1 12.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.073 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.073 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.073 * [taylor]: Taking taylor expansion of -1/2 in J 12.073 * [backup-simplify]: Simplify -1/2 into -1/2 12.073 * [taylor]: Taking taylor expansion of K in J 12.073 * [backup-simplify]: Simplify K into K 12.073 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.073 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.073 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.073 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.073 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.074 * [backup-simplify]: Simplify (- 0) into 0 12.074 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.074 * [backup-simplify]: Simplify (* 1 1) into 1 12.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.074 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.075 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.075 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.075 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.075 * [taylor]: Taking taylor expansion of 2 in J 12.075 * [backup-simplify]: Simplify 2 into 2 12.075 * [taylor]: Taking taylor expansion of (log U) in J 12.075 * [taylor]: Taking taylor expansion of U in J 12.075 * [backup-simplify]: Simplify U into U 12.075 * [backup-simplify]: Simplify (log U) into (log U) 12.076 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.076 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.076 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.076 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.076 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.077 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.077 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.077 * [taylor]: Taking taylor expansion of J in J 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 1 into 1 12.077 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.078 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.078 * [backup-simplify]: Simplify (* 1 1) into 1 12.079 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.080 * [backup-simplify]: Simplify (+ 0) into 0 12.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.082 * [backup-simplify]: Simplify (- 0) into 0 12.082 * [backup-simplify]: Simplify (+ 0 0) into 0 12.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.083 * [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 12.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.086 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.086 * [backup-simplify]: Simplify (- 0) into 0 12.087 * [backup-simplify]: Simplify (+ 0 0) into 0 12.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.090 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.092 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.092 * [backup-simplify]: Simplify (- 0) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.093 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.094 * [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 12.095 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.100 * [backup-simplify]: Simplify (- 0) into 0 12.101 * [backup-simplify]: Simplify (+ 0 0) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.103 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.103 * [backup-simplify]: Simplify (+ 0) into 0 12.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.104 * [backup-simplify]: Simplify (- 0) into 0 12.104 * [backup-simplify]: Simplify (+ 0 0) into 0 12.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.105 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.107 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.108 * [backup-simplify]: Simplify (- 0) into 0 12.108 * [backup-simplify]: Simplify (+ 0 0) into 0 12.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.109 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.110 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 12.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 12.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.112 * [backup-simplify]: Simplify 0 into 0 12.112 * [taylor]: Taking taylor expansion of 0 in J 12.112 * [backup-simplify]: Simplify 0 into 0 12.112 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.113 * [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 12.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 12.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.118 * [backup-simplify]: Simplify (- 0) into 0 12.118 * [backup-simplify]: Simplify (+ 0 0) into 0 12.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.120 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.120 * [taylor]: Taking taylor expansion of 0 in J 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 12.121 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.121 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 12.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.121 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.121 * [taylor]: Taking taylor expansion of 1/4 in J 12.121 * [backup-simplify]: Simplify 1/4 into 1/4 12.121 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.121 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.121 * [taylor]: Taking taylor expansion of U in J 12.121 * [backup-simplify]: Simplify U into U 12.121 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.121 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.121 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.121 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.121 * [taylor]: Taking taylor expansion of 1/2 in J 12.121 * [backup-simplify]: Simplify 1/2 into 1/2 12.121 * [taylor]: Taking taylor expansion of K in J 12.121 * [backup-simplify]: Simplify K into K 12.121 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.121 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.121 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.121 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.121 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.122 * [backup-simplify]: Simplify (- 0) into 0 12.122 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.122 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.122 * [taylor]: Taking taylor expansion of J in J 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.122 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.122 * [backup-simplify]: Simplify (* 1 1) into 1 12.122 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.122 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.122 * [taylor]: Taking taylor expansion of 1 in J 12.122 * [backup-simplify]: Simplify 1 into 1 12.123 * [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))) 12.123 * [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))) 12.123 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.123 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.124 * [backup-simplify]: Simplify (+ 0) into 0 12.124 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.129 * [backup-simplify]: Simplify (- 0) into 0 12.129 * [backup-simplify]: Simplify (+ 0 0) into 0 12.129 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.130 * [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 12.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.130 * [backup-simplify]: Simplify (+ 0 0) into 0 12.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.131 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.131 * [taylor]: Taking taylor expansion of 1/4 in K 12.131 * [backup-simplify]: Simplify 1/4 into 1/4 12.131 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.131 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.131 * [taylor]: Taking taylor expansion of U in K 12.131 * [backup-simplify]: Simplify U into U 12.131 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.131 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.131 * [taylor]: Taking taylor expansion of 1/2 in K 12.131 * [backup-simplify]: Simplify 1/2 into 1/2 12.131 * [taylor]: Taking taylor expansion of K in K 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.131 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.132 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.132 * [taylor]: Taking taylor expansion of J in K 12.132 * [backup-simplify]: Simplify J into J 12.132 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.132 * [backup-simplify]: Simplify (* 1 1) into 1 12.132 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.132 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.132 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.132 * [taylor]: Taking taylor expansion of 1 in K 12.132 * [backup-simplify]: Simplify 1 into 1 12.132 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.132 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.133 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.133 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.133 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.133 * [backup-simplify]: Simplify (+ 0) into 0 12.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.134 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.135 * [backup-simplify]: Simplify (+ 0 0) into 0 12.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.135 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.135 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.135 * [taylor]: Taking taylor expansion of 1/4 in U 12.135 * [backup-simplify]: Simplify 1/4 into 1/4 12.135 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.135 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.135 * [taylor]: Taking taylor expansion of U in U 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.135 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.135 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.135 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.135 * [taylor]: Taking taylor expansion of 1/2 in U 12.135 * [backup-simplify]: Simplify 1/2 into 1/2 12.135 * [taylor]: Taking taylor expansion of K in U 12.135 * [backup-simplify]: Simplify K into K 12.135 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.135 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.135 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.135 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.135 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.136 * [backup-simplify]: Simplify (- 0) into 0 12.136 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.136 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.136 * [taylor]: Taking taylor expansion of J in U 12.136 * [backup-simplify]: Simplify J into J 12.136 * [backup-simplify]: Simplify (* 1 1) into 1 12.136 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.136 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.136 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.137 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.137 * [taylor]: Taking taylor expansion of 1 in U 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (+ 0 1) into 1 12.137 * [backup-simplify]: Simplify (sqrt 1) into 1 12.137 * [backup-simplify]: Simplify (+ 0 0) into 0 12.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.138 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.138 * [taylor]: Taking taylor expansion of 1/4 in U 12.138 * [backup-simplify]: Simplify 1/4 into 1/4 12.138 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.138 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.138 * [taylor]: Taking taylor expansion of U in U 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.138 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.138 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.138 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.138 * [taylor]: Taking taylor expansion of 1/2 in U 12.138 * [backup-simplify]: Simplify 1/2 into 1/2 12.138 * [taylor]: Taking taylor expansion of K in U 12.138 * [backup-simplify]: Simplify K into K 12.138 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.138 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.138 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.138 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.138 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.139 * [backup-simplify]: Simplify (- 0) into 0 12.139 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.139 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.139 * [taylor]: Taking taylor expansion of J in U 12.139 * [backup-simplify]: Simplify J into J 12.139 * [backup-simplify]: Simplify (* 1 1) into 1 12.139 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.139 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.139 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.139 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.139 * [taylor]: Taking taylor expansion of 1 in U 12.139 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (+ 0 1) into 1 12.140 * [backup-simplify]: Simplify (sqrt 1) into 1 12.140 * [backup-simplify]: Simplify (+ 0 0) into 0 12.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.141 * [taylor]: Taking taylor expansion of 1 in K 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [taylor]: Taking taylor expansion of 1 in J 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [taylor]: Taking taylor expansion of 0 in K 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [taylor]: Taking taylor expansion of 0 in J 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [taylor]: Taking taylor expansion of 0 in J 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [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))) 12.141 * [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)))) 12.142 * [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))) 12.142 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.142 * [taylor]: Taking taylor expansion of 1/8 in K 12.142 * [backup-simplify]: Simplify 1/8 into 1/8 12.142 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.142 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.142 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.142 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.142 * [taylor]: Taking taylor expansion of 1/2 in K 12.142 * [backup-simplify]: Simplify 1/2 into 1/2 12.142 * [taylor]: Taking taylor expansion of K in K 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 1 into 1 12.143 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.143 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.143 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.143 * [taylor]: Taking taylor expansion of J in K 12.143 * [backup-simplify]: Simplify J into J 12.143 * [backup-simplify]: Simplify (* 1 1) into 1 12.143 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.144 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.144 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 12.144 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 12.144 * [taylor]: Taking taylor expansion of 1/8 in J 12.144 * [backup-simplify]: Simplify 1/8 into 1/8 12.144 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.144 * [taylor]: Taking taylor expansion of J in J 12.144 * [backup-simplify]: Simplify 0 into 0 12.144 * [backup-simplify]: Simplify 1 into 1 12.144 * [backup-simplify]: Simplify (* 1 1) into 1 12.144 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [taylor]: Taking taylor expansion of 0 in J 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [taylor]: Taking taylor expansion of 0 in J 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify 0 into 0 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.146 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.146 * [backup-simplify]: Simplify (+ 0) into 0 12.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.148 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.148 * [backup-simplify]: Simplify (- 0) into 0 12.148 * [backup-simplify]: Simplify (+ 0 0) into 0 12.148 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.148 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.149 * [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 12.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.149 * [backup-simplify]: Simplify (+ 0 0) into 0 12.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.150 * [taylor]: Taking taylor expansion of 0 in K 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [taylor]: Taking taylor expansion of 0 in J 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.150 * [backup-simplify]: Simplify (+ 0) into 0 12.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.151 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 12.151 * [taylor]: Taking taylor expansion of 0 in J 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [taylor]: Taking taylor expansion of 0 in J 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [taylor]: Taking taylor expansion of 0 in J 12.151 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.153 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 12.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.153 * [taylor]: Taking taylor expansion of 1/4 in J 12.153 * [backup-simplify]: Simplify 1/4 into 1/4 12.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.153 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.153 * [taylor]: Taking taylor expansion of J in J 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.153 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.153 * [taylor]: Taking taylor expansion of U in J 12.153 * [backup-simplify]: Simplify U into U 12.153 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.153 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.153 * [taylor]: Taking taylor expansion of 1/2 in J 12.153 * [backup-simplify]: Simplify 1/2 into 1/2 12.153 * [taylor]: Taking taylor expansion of K in J 12.153 * [backup-simplify]: Simplify K into K 12.153 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.154 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.154 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.154 * [backup-simplify]: Simplify (- 0) into 0 12.154 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.155 * [backup-simplify]: Simplify (* 1 1) into 1 12.155 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.155 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.155 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.155 * [taylor]: Taking taylor expansion of 1 in J 12.155 * [backup-simplify]: Simplify 1 into 1 12.156 * [backup-simplify]: Simplify (+ 0 1) into 1 12.156 * [backup-simplify]: Simplify (sqrt 1) into 1 12.157 * [backup-simplify]: Simplify (+ 0 0) into 0 12.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.157 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.158 * [taylor]: Taking taylor expansion of 1/4 in K 12.158 * [backup-simplify]: Simplify 1/4 into 1/4 12.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.158 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.158 * [taylor]: Taking taylor expansion of J in K 12.158 * [backup-simplify]: Simplify J into J 12.158 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.158 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.158 * [taylor]: Taking taylor expansion of U in K 12.158 * [backup-simplify]: Simplify U into U 12.158 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.158 * [taylor]: Taking taylor expansion of 1/2 in K 12.158 * [backup-simplify]: Simplify 1/2 into 1/2 12.158 * [taylor]: Taking taylor expansion of K in K 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify 1 into 1 12.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.159 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.159 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.159 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.159 * [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))) 12.159 * [taylor]: Taking taylor expansion of 1 in K 12.159 * [backup-simplify]: Simplify 1 into 1 12.160 * [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)))) 12.160 * [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) 12.161 * [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)) 12.161 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.161 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.161 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.162 * [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 12.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.163 * [backup-simplify]: Simplify (+ 0 0) into 0 12.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.164 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.164 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.164 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.164 * [taylor]: Taking taylor expansion of 1/4 in U 12.164 * [backup-simplify]: Simplify 1/4 into 1/4 12.164 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.164 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.164 * [taylor]: Taking taylor expansion of J in U 12.164 * [backup-simplify]: Simplify J into J 12.164 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.164 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.164 * [taylor]: Taking taylor expansion of U in U 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify 1 into 1 12.165 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.165 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.165 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.165 * [taylor]: Taking taylor expansion of 1/2 in U 12.165 * [backup-simplify]: Simplify 1/2 into 1/2 12.165 * [taylor]: Taking taylor expansion of K in U 12.165 * [backup-simplify]: Simplify K into K 12.165 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.165 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.165 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.165 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.165 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.165 * [backup-simplify]: Simplify (- 0) into 0 12.166 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.166 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.166 * [backup-simplify]: Simplify (* 1 1) into 1 12.166 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.166 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.167 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.167 * [taylor]: Taking taylor expansion of 1 in U 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [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))) 12.167 * [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))) 12.168 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.168 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.168 * [backup-simplify]: Simplify (+ 0) into 0 12.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.171 * [backup-simplify]: Simplify (- 0) into 0 12.171 * [backup-simplify]: Simplify (+ 0 0) into 0 12.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.173 * [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 12.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.174 * [backup-simplify]: Simplify (+ 0 0) into 0 12.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.174 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.174 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.175 * [taylor]: Taking taylor expansion of 1/4 in U 12.175 * [backup-simplify]: Simplify 1/4 into 1/4 12.175 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.175 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.175 * [taylor]: Taking taylor expansion of J in U 12.175 * [backup-simplify]: Simplify J into J 12.175 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.175 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.175 * [taylor]: Taking taylor expansion of U in U 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.175 * [taylor]: Taking taylor expansion of 1/2 in U 12.175 * [backup-simplify]: Simplify 1/2 into 1/2 12.175 * [taylor]: Taking taylor expansion of K in U 12.175 * [backup-simplify]: Simplify K into K 12.175 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.175 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.175 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.175 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.175 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.176 * [backup-simplify]: Simplify (- 0) into 0 12.176 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.176 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.176 * [backup-simplify]: Simplify (* 1 1) into 1 12.176 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.177 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.177 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.177 * [taylor]: Taking taylor expansion of 1 in U 12.177 * [backup-simplify]: Simplify 1 into 1 12.177 * [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))) 12.178 * [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))) 12.178 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.178 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.178 * [backup-simplify]: Simplify (+ 0) into 0 12.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.181 * [backup-simplify]: Simplify (- 0) into 0 12.181 * [backup-simplify]: Simplify (+ 0 0) into 0 12.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.183 * [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 12.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.184 * [backup-simplify]: Simplify (+ 0 0) into 0 12.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 12.185 * [taylor]: Taking taylor expansion of 1/2 in K 12.185 * [backup-simplify]: Simplify 1/2 into 1/2 12.185 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 12.185 * [taylor]: Taking taylor expansion of J in K 12.185 * [backup-simplify]: Simplify J into J 12.185 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.185 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.185 * [taylor]: Taking taylor expansion of 1/2 in K 12.185 * [backup-simplify]: Simplify 1/2 into 1/2 12.185 * [taylor]: Taking taylor expansion of K in K 12.185 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify 1 into 1 12.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.185 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.186 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 12.186 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.186 * [taylor]: Taking taylor expansion of 1/2 in J 12.186 * [backup-simplify]: Simplify 1/2 into 1/2 12.186 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.186 * [taylor]: Taking taylor expansion of J in J 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 1 into 1 12.186 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.186 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.186 * [taylor]: Taking taylor expansion of 1/2 in J 12.186 * [backup-simplify]: Simplify 1/2 into 1/2 12.186 * [taylor]: Taking taylor expansion of K in J 12.186 * [backup-simplify]: Simplify K into K 12.186 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.186 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.186 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.186 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.186 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.187 * [backup-simplify]: Simplify (- 0) into 0 12.187 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.187 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.187 * [taylor]: Taking taylor expansion of 0 in K 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [taylor]: Taking taylor expansion of 0 in J 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 12.188 * [taylor]: Taking taylor expansion of 0 in J 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.188 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.189 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.193 * [backup-simplify]: Simplify (- 0) into 0 12.193 * [backup-simplify]: Simplify (+ 0 0) into 0 12.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.196 * [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 12.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.198 * [backup-simplify]: Simplify (+ 0 1) into 1 12.199 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.199 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.199 * [taylor]: Taking taylor expansion of 1/2 in K 12.199 * [backup-simplify]: Simplify 1/2 into 1/2 12.199 * [taylor]: Taking taylor expansion of K in K 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 1 into 1 12.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.199 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.199 * [taylor]: Taking taylor expansion of J in K 12.199 * [backup-simplify]: Simplify J into J 12.200 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.200 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.200 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.200 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.200 * [taylor]: Taking taylor expansion of 1/2 in J 12.200 * [backup-simplify]: Simplify 1/2 into 1/2 12.200 * [taylor]: Taking taylor expansion of K in J 12.200 * [backup-simplify]: Simplify K into K 12.200 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.200 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.200 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.200 * [taylor]: Taking taylor expansion of J in J 12.200 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify 1 into 1 12.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.200 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.201 * [backup-simplify]: Simplify (- 0) into 0 12.201 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.201 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.201 * [backup-simplify]: Simplify (+ 0) into 0 12.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.203 * [backup-simplify]: Simplify (- 0) into 0 12.204 * [backup-simplify]: Simplify (+ 0 0) into 0 12.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [taylor]: Taking taylor expansion of 0 in J 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 12.206 * [taylor]: Taking taylor expansion of 0 in J 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify (+ 0) into 0 12.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.209 * [backup-simplify]: Simplify (- 0) into 0 12.209 * [backup-simplify]: Simplify (+ 0 0) into 0 12.210 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.211 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.211 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 12.211 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.211 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.211 * [taylor]: Taking taylor expansion of 1 in J 12.211 * [backup-simplify]: Simplify 1 into 1 12.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.211 * [taylor]: Taking taylor expansion of 1/4 in J 12.211 * [backup-simplify]: Simplify 1/4 into 1/4 12.211 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.211 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.212 * [taylor]: Taking taylor expansion of J in J 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.212 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.212 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.212 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.212 * [taylor]: Taking taylor expansion of -1/2 in J 12.212 * [backup-simplify]: Simplify -1/2 into -1/2 12.212 * [taylor]: Taking taylor expansion of K in J 12.212 * [backup-simplify]: Simplify K into K 12.212 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.212 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.212 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.212 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.212 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.213 * [backup-simplify]: Simplify (- 0) into 0 12.213 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.213 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.213 * [taylor]: Taking taylor expansion of U in J 12.213 * [backup-simplify]: Simplify U into U 12.213 * [backup-simplify]: Simplify (* 1 1) into 1 12.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.213 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.214 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.214 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.214 * [backup-simplify]: Simplify (+ 1 0) into 1 12.215 * [backup-simplify]: Simplify (sqrt 1) into 1 12.215 * [backup-simplify]: Simplify (+ 0 0) into 0 12.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.216 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.216 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.216 * [taylor]: Taking taylor expansion of 1 in K 12.216 * [backup-simplify]: Simplify 1 into 1 12.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.216 * [taylor]: Taking taylor expansion of 1/4 in K 12.216 * [backup-simplify]: Simplify 1/4 into 1/4 12.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.216 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.216 * [taylor]: Taking taylor expansion of J in K 12.216 * [backup-simplify]: Simplify J into J 12.216 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.216 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.216 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.216 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.216 * [taylor]: Taking taylor expansion of -1/2 in K 12.216 * [backup-simplify]: Simplify -1/2 into -1/2 12.216 * [taylor]: Taking taylor expansion of K in K 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify 1 into 1 12.217 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.217 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.217 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.217 * [taylor]: Taking taylor expansion of U in K 12.217 * [backup-simplify]: Simplify U into U 12.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.217 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.217 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.218 * [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))) 12.218 * [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)))) 12.219 * [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))))) 12.219 * [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)))))) 12.219 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.220 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.220 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.221 * [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 12.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.222 * [backup-simplify]: Simplify (+ 0 0) into 0 12.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.223 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.223 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.223 * [taylor]: Taking taylor expansion of 1 in U 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.223 * [taylor]: Taking taylor expansion of 1/4 in U 12.223 * [backup-simplify]: Simplify 1/4 into 1/4 12.223 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.223 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.223 * [taylor]: Taking taylor expansion of J in U 12.223 * [backup-simplify]: Simplify J into J 12.223 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.223 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.223 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.223 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.223 * [taylor]: Taking taylor expansion of -1/2 in U 12.223 * [backup-simplify]: Simplify -1/2 into -1/2 12.223 * [taylor]: Taking taylor expansion of K in U 12.223 * [backup-simplify]: Simplify K into K 12.223 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.224 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.224 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.224 * [backup-simplify]: Simplify (- 0) into 0 12.224 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.224 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.224 * [taylor]: Taking taylor expansion of U in U 12.224 * [backup-simplify]: Simplify 0 into 0 12.224 * [backup-simplify]: Simplify 1 into 1 12.225 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.225 * [backup-simplify]: Simplify (* 1 1) into 1 12.225 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.225 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.226 * [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))) 12.226 * [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))) 12.226 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.226 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.228 * [backup-simplify]: Simplify (+ 0) into 0 12.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.228 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.229 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.230 * [backup-simplify]: Simplify (- 0) into 0 12.231 * [backup-simplify]: Simplify (+ 0 0) into 0 12.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.231 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.232 * [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 12.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.233 * [backup-simplify]: Simplify (+ 0 0) into 0 12.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.233 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.233 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.233 * [taylor]: Taking taylor expansion of 1 in U 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.234 * [taylor]: Taking taylor expansion of 1/4 in U 12.234 * [backup-simplify]: Simplify 1/4 into 1/4 12.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.234 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.234 * [taylor]: Taking taylor expansion of J in U 12.234 * [backup-simplify]: Simplify J into J 12.234 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.234 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.234 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.234 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.234 * [taylor]: Taking taylor expansion of -1/2 in U 12.234 * [backup-simplify]: Simplify -1/2 into -1/2 12.234 * [taylor]: Taking taylor expansion of K in U 12.234 * [backup-simplify]: Simplify K into K 12.234 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.234 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.234 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.234 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.234 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.235 * [backup-simplify]: Simplify (- 0) into 0 12.235 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.235 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.235 * [taylor]: Taking taylor expansion of U in U 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.235 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.235 * [backup-simplify]: Simplify (* 1 1) into 1 12.236 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.236 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.236 * [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))) 12.236 * [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))) 12.237 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.237 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.238 * [backup-simplify]: Simplify (+ 0) into 0 12.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.240 * [backup-simplify]: Simplify (- 0) into 0 12.241 * [backup-simplify]: Simplify (+ 0 0) into 0 12.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.242 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.242 * [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 12.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.243 * [backup-simplify]: Simplify (+ 0 0) into 0 12.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 12.244 * [taylor]: Taking taylor expansion of 1/2 in K 12.244 * [backup-simplify]: Simplify 1/2 into 1/2 12.244 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 12.244 * [taylor]: Taking taylor expansion of J in K 12.244 * [backup-simplify]: Simplify J into J 12.244 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.244 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.244 * [taylor]: Taking taylor expansion of -1/2 in K 12.244 * [backup-simplify]: Simplify -1/2 into -1/2 12.244 * [taylor]: Taking taylor expansion of K in K 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.245 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 12.245 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.245 * [taylor]: Taking taylor expansion of 1/2 in J 12.245 * [backup-simplify]: Simplify 1/2 into 1/2 12.245 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.245 * [taylor]: Taking taylor expansion of J in J 12.245 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify 1 into 1 12.245 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.245 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.245 * [taylor]: Taking taylor expansion of -1/2 in J 12.245 * [backup-simplify]: Simplify -1/2 into -1/2 12.245 * [taylor]: Taking taylor expansion of K in J 12.245 * [backup-simplify]: Simplify K into K 12.245 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.245 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.245 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.245 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.245 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.246 * [backup-simplify]: Simplify (- 0) into 0 12.246 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.246 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.246 * [taylor]: Taking taylor expansion of 0 in K 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [taylor]: Taking taylor expansion of 0 in J 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 12.247 * [taylor]: Taking taylor expansion of 0 in J 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.247 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.248 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.252 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.252 * [backup-simplify]: Simplify (- 0) into 0 12.253 * [backup-simplify]: Simplify (+ 0 0) into 0 12.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.254 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.255 * [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 12.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.256 * [backup-simplify]: Simplify (+ 1 0) into 1 12.257 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.257 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 12.257 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.257 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.257 * [taylor]: Taking taylor expansion of -1/2 in K 12.257 * [backup-simplify]: Simplify -1/2 into -1/2 12.257 * [taylor]: Taking taylor expansion of K in K 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.258 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.258 * [taylor]: Taking taylor expansion of J in K 12.258 * [backup-simplify]: Simplify J into J 12.258 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 12.258 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.258 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.258 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.258 * [taylor]: Taking taylor expansion of -1/2 in J 12.258 * [backup-simplify]: Simplify -1/2 into -1/2 12.259 * [taylor]: Taking taylor expansion of K in J 12.259 * [backup-simplify]: Simplify K into K 12.259 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.259 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.259 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.259 * [taylor]: Taking taylor expansion of J in J 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.259 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.259 * [backup-simplify]: Simplify (- 0) into 0 12.260 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.260 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.260 * [backup-simplify]: Simplify (+ 0) into 0 12.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.262 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.262 * [backup-simplify]: Simplify (- 0) into 0 12.263 * [backup-simplify]: Simplify (+ 0 0) into 0 12.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [taylor]: Taking taylor expansion of 0 in J 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 12.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 12.265 * [taylor]: Taking taylor expansion of 0 in J 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify (+ 0) into 0 12.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.272 * [backup-simplify]: Simplify (- 0) into 0 12.273 * [backup-simplify]: Simplify (+ 0 0) into 0 12.273 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.273 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.274 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 12.274 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 12.274 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 12.274 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 12.275 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 12.275 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 12.275 * [taylor]: Taking taylor expansion of 1/4 in J 12.275 * [backup-simplify]: Simplify 1/4 into 1/4 12.275 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.275 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.275 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.275 * [taylor]: Taking taylor expansion of 1/4 in J 12.275 * [backup-simplify]: Simplify 1/4 into 1/4 12.275 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.275 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.275 * [taylor]: Taking taylor expansion of U in J 12.275 * [backup-simplify]: Simplify U into U 12.275 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.275 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.275 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.275 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.275 * [taylor]: Taking taylor expansion of 1/2 in J 12.275 * [backup-simplify]: Simplify 1/2 into 1/2 12.275 * [taylor]: Taking taylor expansion of K in J 12.275 * [backup-simplify]: Simplify K into K 12.275 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.275 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.275 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.275 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.275 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.276 * [backup-simplify]: Simplify (- 0) into 0 12.276 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.276 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.276 * [taylor]: Taking taylor expansion of J in J 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.276 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.276 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.277 * [backup-simplify]: Simplify (* 1 1) into 1 12.277 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.277 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.277 * [taylor]: Taking taylor expansion of 1 in J 12.277 * [backup-simplify]: Simplify 1 into 1 12.277 * [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))) 12.278 * [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))) 12.278 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 12.278 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 12.278 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 12.279 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 12.279 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 12.279 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 12.279 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 12.279 * [taylor]: Taking taylor expansion of 1/4 in K 12.279 * [backup-simplify]: Simplify 1/4 into 1/4 12.279 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.279 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.279 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.279 * [taylor]: Taking taylor expansion of 1/4 in K 12.279 * [backup-simplify]: Simplify 1/4 into 1/4 12.279 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.279 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.279 * [taylor]: Taking taylor expansion of U in K 12.279 * [backup-simplify]: Simplify U into U 12.279 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.279 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.279 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.279 * [taylor]: Taking taylor expansion of 1/2 in K 12.279 * [backup-simplify]: Simplify 1/2 into 1/2 12.279 * [taylor]: Taking taylor expansion of K in K 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.280 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.280 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.280 * [taylor]: Taking taylor expansion of J in K 12.280 * [backup-simplify]: Simplify J into J 12.280 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.280 * [backup-simplify]: Simplify (* 1 1) into 1 12.280 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.280 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.281 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.281 * [taylor]: Taking taylor expansion of 1 in K 12.281 * [backup-simplify]: Simplify 1 into 1 12.281 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.281 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.281 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.281 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 12.281 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 12.281 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 12.282 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 12.282 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 12.282 * [taylor]: Taking taylor expansion of 1/4 in U 12.282 * [backup-simplify]: Simplify 1/4 into 1/4 12.282 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.282 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.282 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.282 * [taylor]: Taking taylor expansion of 1/4 in U 12.282 * [backup-simplify]: Simplify 1/4 into 1/4 12.282 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.282 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.282 * [taylor]: Taking taylor expansion of U in U 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.282 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.282 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.282 * [taylor]: Taking taylor expansion of 1/2 in U 12.282 * [backup-simplify]: Simplify 1/2 into 1/2 12.282 * [taylor]: Taking taylor expansion of K in U 12.282 * [backup-simplify]: Simplify K into K 12.282 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.282 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.282 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.282 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.282 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.282 * [backup-simplify]: Simplify (- 0) into 0 12.282 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.282 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.282 * [taylor]: Taking taylor expansion of J in U 12.282 * [backup-simplify]: Simplify J into J 12.283 * [backup-simplify]: Simplify (* 1 1) into 1 12.283 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.283 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.283 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.283 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.283 * [taylor]: Taking taylor expansion of 1 in U 12.283 * [backup-simplify]: Simplify 1 into 1 12.283 * [backup-simplify]: Simplify (+ 0 1) into 1 12.284 * [backup-simplify]: Simplify (log 1) into 0 12.284 * [backup-simplify]: Simplify (* 1/4 0) into 0 12.284 * [backup-simplify]: Simplify (+ 0 0) into 0 12.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 12.286 * [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))) 12.286 * [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)))) 12.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.287 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.288 * [backup-simplify]: Simplify (exp 0) into 1 12.288 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 12.288 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 12.288 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 12.288 * [taylor]: Taking taylor expansion of 1/4 in U 12.288 * [backup-simplify]: Simplify 1/4 into 1/4 12.288 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.288 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.288 * [taylor]: Taking taylor expansion of 1/4 in U 12.288 * [backup-simplify]: Simplify 1/4 into 1/4 12.288 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.288 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.288 * [taylor]: Taking taylor expansion of U in U 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.288 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.288 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.288 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.288 * [taylor]: Taking taylor expansion of 1/2 in U 12.288 * [backup-simplify]: Simplify 1/2 into 1/2 12.288 * [taylor]: Taking taylor expansion of K in U 12.288 * [backup-simplify]: Simplify K into K 12.288 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.288 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.288 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.288 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.288 * [backup-simplify]: Simplify (- 0) into 0 12.288 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.288 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.288 * [taylor]: Taking taylor expansion of J in U 12.288 * [backup-simplify]: Simplify J into J 12.289 * [backup-simplify]: Simplify (* 1 1) into 1 12.289 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.289 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.289 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.289 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.289 * [taylor]: Taking taylor expansion of 1 in U 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (+ 0 1) into 1 12.290 * [backup-simplify]: Simplify (log 1) into 0 12.290 * [backup-simplify]: Simplify (* 1/4 0) into 0 12.290 * [backup-simplify]: Simplify (+ 0 0) into 0 12.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 12.292 * [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))) 12.292 * [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)))) 12.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.294 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.294 * [backup-simplify]: Simplify (exp 0) into 1 12.294 * [taylor]: Taking taylor expansion of 1 in K 12.294 * [backup-simplify]: Simplify 1 into 1 12.294 * [taylor]: Taking taylor expansion of 1 in J 12.294 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 12.294 * [taylor]: Taking taylor expansion of 0 in K 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [taylor]: Taking taylor expansion of 0 in J 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [taylor]: Taking taylor expansion of 0 in J 12.294 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.295 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.295 * [taylor]: Taking taylor expansion of 1/16 in K 12.295 * [backup-simplify]: Simplify 1/16 into 1/16 12.295 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.295 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.295 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.295 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.295 * [taylor]: Taking taylor expansion of 1/2 in K 12.295 * [backup-simplify]: Simplify 1/2 into 1/2 12.295 * [taylor]: Taking taylor expansion of K in K 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.296 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.296 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.296 * [taylor]: Taking taylor expansion of J in K 12.296 * [backup-simplify]: Simplify J into J 12.296 * [backup-simplify]: Simplify (* 1 1) into 1 12.296 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.297 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.297 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 12.297 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 12.297 * [taylor]: Taking taylor expansion of 1/16 in J 12.297 * [backup-simplify]: Simplify 1/16 into 1/16 12.297 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.297 * [taylor]: Taking taylor expansion of J in J 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 1 into 1 12.297 * [backup-simplify]: Simplify (* 1 1) into 1 12.297 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 12.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [taylor]: Taking taylor expansion of 0 in J 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [taylor]: Taking taylor expansion of 0 in J 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 1 into 1 12.300 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 12.300 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 12.300 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 12.300 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 12.300 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 12.300 * [taylor]: Taking taylor expansion of 1/4 in J 12.300 * [backup-simplify]: Simplify 1/4 into 1/4 12.300 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.300 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.300 * [taylor]: Taking taylor expansion of 1/4 in J 12.300 * [backup-simplify]: Simplify 1/4 into 1/4 12.300 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.300 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.300 * [taylor]: Taking taylor expansion of J in J 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify 1 into 1 12.300 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.300 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.300 * [taylor]: Taking taylor expansion of U in J 12.300 * [backup-simplify]: Simplify U into U 12.300 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.300 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.300 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.300 * [taylor]: Taking taylor expansion of 1/2 in J 12.300 * [backup-simplify]: Simplify 1/2 into 1/2 12.300 * [taylor]: Taking taylor expansion of K in J 12.300 * [backup-simplify]: Simplify K into K 12.300 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.300 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.300 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.300 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.301 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.301 * [backup-simplify]: Simplify (- 0) into 0 12.301 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.301 * [backup-simplify]: Simplify (* 1 1) into 1 12.301 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.301 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.301 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.302 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.302 * [taylor]: Taking taylor expansion of 1 in J 12.302 * [backup-simplify]: Simplify 1 into 1 12.302 * [backup-simplify]: Simplify (+ 0 1) into 1 12.302 * [backup-simplify]: Simplify (log 1) into 0 12.302 * [backup-simplify]: Simplify (* 1/4 0) into 0 12.303 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 12.304 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.304 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.306 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.306 * [backup-simplify]: Simplify (exp 0) into 1 12.306 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 12.306 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 12.306 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 12.306 * [taylor]: Taking taylor expansion of 1/4 in K 12.306 * [backup-simplify]: Simplify 1/4 into 1/4 12.306 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.306 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.306 * [taylor]: Taking taylor expansion of 1/4 in K 12.306 * [backup-simplify]: Simplify 1/4 into 1/4 12.306 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.306 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.306 * [taylor]: Taking taylor expansion of J in K 12.306 * [backup-simplify]: Simplify J into J 12.306 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.306 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.306 * [taylor]: Taking taylor expansion of U in K 12.306 * [backup-simplify]: Simplify U into U 12.306 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.306 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.306 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.306 * [taylor]: Taking taylor expansion of 1/2 in K 12.306 * [backup-simplify]: Simplify 1/2 into 1/2 12.306 * [taylor]: Taking taylor expansion of K in K 12.306 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify 1 into 1 12.307 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.307 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.307 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.307 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.307 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.307 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.307 * [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))) 12.307 * [taylor]: Taking taylor expansion of 1 in K 12.307 * [backup-simplify]: Simplify 1 into 1 12.307 * [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)))) 12.308 * [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) 12.308 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.308 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 12.309 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 12.309 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 12.309 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 12.309 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 12.309 * [taylor]: Taking taylor expansion of 1/4 in U 12.309 * [backup-simplify]: Simplify 1/4 into 1/4 12.309 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.309 * [taylor]: Taking taylor expansion of 1/4 in U 12.309 * [backup-simplify]: Simplify 1/4 into 1/4 12.309 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.309 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.309 * [taylor]: Taking taylor expansion of J in U 12.309 * [backup-simplify]: Simplify J into J 12.309 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.309 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.309 * [taylor]: Taking taylor expansion of U in U 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.309 * [taylor]: Taking taylor expansion of 1/2 in U 12.309 * [backup-simplify]: Simplify 1/2 into 1/2 12.309 * [taylor]: Taking taylor expansion of K in U 12.309 * [backup-simplify]: Simplify K into K 12.309 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.309 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.309 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.310 * [backup-simplify]: Simplify (- 0) into 0 12.310 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.310 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.310 * [backup-simplify]: Simplify (* 1 1) into 1 12.310 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.310 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.310 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.310 * [taylor]: Taking taylor expansion of 1 in U 12.310 * [backup-simplify]: Simplify 1 into 1 12.311 * [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))) 12.311 * [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))) 12.311 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.311 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.312 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.312 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.312 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 12.312 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 12.312 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 12.312 * [taylor]: Taking taylor expansion of 1/4 in U 12.312 * [backup-simplify]: Simplify 1/4 into 1/4 12.312 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.312 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.312 * [taylor]: Taking taylor expansion of 1/4 in U 12.312 * [backup-simplify]: Simplify 1/4 into 1/4 12.312 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.312 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.312 * [taylor]: Taking taylor expansion of J in U 12.312 * [backup-simplify]: Simplify J into J 12.312 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.312 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.312 * [taylor]: Taking taylor expansion of U in U 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 1 into 1 12.312 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.312 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.312 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.312 * [taylor]: Taking taylor expansion of 1/2 in U 12.312 * [backup-simplify]: Simplify 1/2 into 1/2 12.312 * [taylor]: Taking taylor expansion of K in U 12.312 * [backup-simplify]: Simplify K into K 12.312 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.312 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.312 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.312 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.312 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.313 * [backup-simplify]: Simplify (- 0) into 0 12.313 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.313 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.313 * [backup-simplify]: Simplify (* 1 1) into 1 12.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.313 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.313 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.314 * [taylor]: Taking taylor expansion of 1 in U 12.314 * [backup-simplify]: Simplify 1 into 1 12.314 * [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))) 12.314 * [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))) 12.314 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.315 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.315 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.315 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.315 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 12.315 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 12.315 * [taylor]: Taking taylor expansion of 1/4 in K 12.315 * [backup-simplify]: Simplify 1/4 into 1/4 12.315 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 12.315 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 12.315 * [taylor]: Taking taylor expansion of 1/4 in K 12.315 * [backup-simplify]: Simplify 1/4 into 1/4 12.315 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 12.315 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.315 * [taylor]: Taking taylor expansion of J in K 12.315 * [backup-simplify]: Simplify J into J 12.315 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.315 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.315 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.315 * [taylor]: Taking taylor expansion of 1/2 in K 12.315 * [backup-simplify]: Simplify 1/2 into 1/2 12.315 * [taylor]: Taking taylor expansion of K in K 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify 1 into 1 12.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.316 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.316 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.316 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.316 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.316 * [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))) 12.316 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.316 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.316 * [taylor]: Taking taylor expansion of 2 in K 12.316 * [backup-simplify]: Simplify 2 into 2 12.316 * [taylor]: Taking taylor expansion of (log U) in K 12.316 * [taylor]: Taking taylor expansion of U in K 12.316 * [backup-simplify]: Simplify U into U 12.317 * [backup-simplify]: Simplify (log U) into (log U) 12.317 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.317 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.317 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.317 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.317 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.317 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 12.317 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 12.317 * [taylor]: Taking taylor expansion of 1/4 in J 12.317 * [backup-simplify]: Simplify 1/4 into 1/4 12.317 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 12.317 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.317 * [taylor]: Taking taylor expansion of 1/4 in J 12.317 * [backup-simplify]: Simplify 1/4 into 1/4 12.317 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.317 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.317 * [taylor]: Taking taylor expansion of J in J 12.317 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.318 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.318 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.318 * [taylor]: Taking taylor expansion of 1/2 in J 12.318 * [backup-simplify]: Simplify 1/2 into 1/2 12.318 * [taylor]: Taking taylor expansion of K in J 12.318 * [backup-simplify]: Simplify K into K 12.318 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.318 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.318 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.318 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.318 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.318 * [backup-simplify]: Simplify (- 0) into 0 12.318 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.318 * [backup-simplify]: Simplify (* 1 1) into 1 12.319 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.319 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.319 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.319 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.319 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.319 * [taylor]: Taking taylor expansion of 2 in J 12.319 * [backup-simplify]: Simplify 2 into 2 12.319 * [taylor]: Taking taylor expansion of (log U) in J 12.319 * [taylor]: Taking taylor expansion of U in J 12.319 * [backup-simplify]: Simplify U into U 12.319 * [backup-simplify]: Simplify (log U) into (log U) 12.319 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.319 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.319 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.320 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.320 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.320 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.320 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.320 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.321 * [backup-simplify]: Simplify (+ 0) into 0 12.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.322 * [backup-simplify]: Simplify (- 0) into 0 12.323 * [backup-simplify]: Simplify (+ 0 0) into 0 12.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.324 * [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 12.324 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.325 * [backup-simplify]: Simplify (+ 0 0) into 0 12.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 12.326 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.327 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.327 * [taylor]: Taking taylor expansion of 0 in K 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [taylor]: Taking taylor expansion of 0 in J 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.327 * [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 12.328 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 12.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.330 * [backup-simplify]: Simplify (- 0) into 0 12.330 * [backup-simplify]: Simplify (+ 0 0) into 0 12.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.331 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.331 * [taylor]: Taking taylor expansion of 0 in J 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.332 * [backup-simplify]: Simplify (+ 0) into 0 12.332 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.333 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.334 * [backup-simplify]: Simplify (- 0) into 0 12.334 * [backup-simplify]: Simplify (+ 0 0) into 0 12.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.334 * [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 12.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.336 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.336 * [backup-simplify]: Simplify (- 0) into 0 12.337 * [backup-simplify]: Simplify (+ 0 0) into 0 12.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.338 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.341 * [backup-simplify]: Simplify (- 0) into 0 12.341 * [backup-simplify]: Simplify (+ 0 0) into 0 12.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.343 * [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 12.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.344 * [backup-simplify]: Simplify (+ 0 1) into 1 12.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 12.346 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.346 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 12.347 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 12.347 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 12.347 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 12.347 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 12.347 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 12.347 * [taylor]: Taking taylor expansion of 1/4 in K 12.347 * [backup-simplify]: Simplify 1/4 into 1/4 12.347 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 12.347 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 12.347 * [taylor]: Taking taylor expansion of 1/4 in K 12.347 * [backup-simplify]: Simplify 1/4 into 1/4 12.347 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 12.347 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.347 * [taylor]: Taking taylor expansion of J in K 12.347 * [backup-simplify]: Simplify J into J 12.347 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.347 * [taylor]: Taking taylor expansion of 1/2 in K 12.347 * [backup-simplify]: Simplify 1/2 into 1/2 12.347 * [taylor]: Taking taylor expansion of K in K 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.348 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.348 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.348 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.348 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.348 * [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))) 12.348 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.348 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.348 * [taylor]: Taking taylor expansion of 2 in K 12.348 * [backup-simplify]: Simplify 2 into 2 12.348 * [taylor]: Taking taylor expansion of (log U) in K 12.349 * [taylor]: Taking taylor expansion of U in K 12.349 * [backup-simplify]: Simplify U into U 12.349 * [backup-simplify]: Simplify (log U) into (log U) 12.349 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.349 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.349 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.349 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.349 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.349 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.349 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.349 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.349 * [taylor]: Taking taylor expansion of 1/2 in K 12.349 * [backup-simplify]: Simplify 1/2 into 1/2 12.349 * [taylor]: Taking taylor expansion of K in K 12.349 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify 1 into 1 12.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.350 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.350 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.350 * [taylor]: Taking taylor expansion of J in K 12.350 * [backup-simplify]: Simplify J into J 12.350 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.350 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.350 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.351 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 12.351 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 12.351 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 12.351 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 12.351 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 12.351 * [taylor]: Taking taylor expansion of 1/4 in J 12.351 * [backup-simplify]: Simplify 1/4 into 1/4 12.351 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 12.351 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.351 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.351 * [taylor]: Taking taylor expansion of 1/4 in J 12.351 * [backup-simplify]: Simplify 1/4 into 1/4 12.351 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.351 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.351 * [taylor]: Taking taylor expansion of J in J 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 1 into 1 12.351 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.351 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.351 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.351 * [taylor]: Taking taylor expansion of 1/2 in J 12.351 * [backup-simplify]: Simplify 1/2 into 1/2 12.351 * [taylor]: Taking taylor expansion of K in J 12.351 * [backup-simplify]: Simplify K into K 12.351 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.351 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.351 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.351 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.351 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.351 * [backup-simplify]: Simplify (- 0) into 0 12.352 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.352 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.352 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.352 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.352 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.352 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.352 * [taylor]: Taking taylor expansion of 2 in J 12.352 * [backup-simplify]: Simplify 2 into 2 12.352 * [taylor]: Taking taylor expansion of (log U) in J 12.352 * [taylor]: Taking taylor expansion of U in J 12.352 * [backup-simplify]: Simplify U into U 12.352 * [backup-simplify]: Simplify (log U) into (log U) 12.353 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.353 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.353 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.353 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.353 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.353 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.353 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.353 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.353 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.353 * [taylor]: Taking taylor expansion of 1/2 in J 12.353 * [backup-simplify]: Simplify 1/2 into 1/2 12.353 * [taylor]: Taking taylor expansion of K in J 12.354 * [backup-simplify]: Simplify K into K 12.354 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.354 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.354 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.354 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.354 * [backup-simplify]: Simplify (- 0) into 0 12.354 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.354 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.354 * [taylor]: Taking taylor expansion of J in J 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.354 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.355 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.356 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.356 * [backup-simplify]: Simplify (+ 0) into 0 12.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.357 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.359 * [backup-simplify]: Simplify (- 0) into 0 12.359 * [backup-simplify]: Simplify (+ 0 0) into 0 12.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.360 * [backup-simplify]: Simplify (- 0) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.362 * [backup-simplify]: Simplify (+ 0) into 0 12.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.365 * [backup-simplify]: Simplify (- 0) into 0 12.365 * [backup-simplify]: Simplify (+ 0 0) into 0 12.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.366 * [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 12.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.369 * [backup-simplify]: Simplify (- 0) into 0 12.370 * [backup-simplify]: Simplify (+ 0 0) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.372 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.372 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.377 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.378 * [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 12.384 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 12.386 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 12.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.389 * [backup-simplify]: Simplify (- 0) into 0 12.390 * [backup-simplify]: Simplify (+ 0 0) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.393 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.394 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.395 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [taylor]: Taking taylor expansion of 0 in J 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.401 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 12.405 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.405 * [backup-simplify]: Simplify (- 0) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.407 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.407 * [taylor]: Taking taylor expansion of 0 in J 12.407 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 12.408 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 12.408 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 12.408 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 12.408 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.408 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.408 * [taylor]: Taking taylor expansion of 1/4 in J 12.408 * [backup-simplify]: Simplify 1/4 into 1/4 12.408 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.408 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.408 * [taylor]: Taking taylor expansion of 1 in J 12.408 * [backup-simplify]: Simplify 1 into 1 12.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.408 * [taylor]: Taking taylor expansion of 1/4 in J 12.408 * [backup-simplify]: Simplify 1/4 into 1/4 12.408 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.408 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.408 * [taylor]: Taking taylor expansion of J in J 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify 1 into 1 12.408 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.408 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.408 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.408 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.408 * [taylor]: Taking taylor expansion of -1/2 in J 12.408 * [backup-simplify]: Simplify -1/2 into -1/2 12.408 * [taylor]: Taking taylor expansion of K in J 12.408 * [backup-simplify]: Simplify K into K 12.408 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.408 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.409 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.409 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.409 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.409 * [backup-simplify]: Simplify (- 0) into 0 12.409 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.409 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.409 * [taylor]: Taking taylor expansion of U in J 12.409 * [backup-simplify]: Simplify U into U 12.409 * [backup-simplify]: Simplify (* 1 1) into 1 12.409 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.409 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.410 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.410 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.410 * [backup-simplify]: Simplify (+ 1 0) into 1 12.410 * [backup-simplify]: Simplify (log 1) into 0 12.411 * [backup-simplify]: Simplify (* 1/4 0) into 0 12.411 * [backup-simplify]: Simplify (+ 0 0) into 0 12.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 12.412 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.412 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.414 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.414 * [backup-simplify]: Simplify (exp 0) into 1 12.414 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 12.414 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 12.414 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 12.414 * [taylor]: Taking taylor expansion of 1/4 in K 12.414 * [backup-simplify]: Simplify 1/4 into 1/4 12.414 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.414 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.414 * [taylor]: Taking taylor expansion of 1 in K 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.414 * [taylor]: Taking taylor expansion of 1/4 in K 12.414 * [backup-simplify]: Simplify 1/4 into 1/4 12.414 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.414 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.414 * [taylor]: Taking taylor expansion of J in K 12.415 * [backup-simplify]: Simplify J into J 12.415 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.415 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.415 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.415 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.415 * [taylor]: Taking taylor expansion of -1/2 in K 12.415 * [backup-simplify]: Simplify -1/2 into -1/2 12.415 * [taylor]: Taking taylor expansion of K in K 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 1 into 1 12.415 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.415 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.415 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.415 * [taylor]: Taking taylor expansion of U in K 12.415 * [backup-simplify]: Simplify U into U 12.415 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.415 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.415 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.415 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.415 * [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))) 12.416 * [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)))) 12.416 * [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))))) 12.416 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.417 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 12.417 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 12.417 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 12.417 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.417 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.417 * [taylor]: Taking taylor expansion of 1/4 in U 12.417 * [backup-simplify]: Simplify 1/4 into 1/4 12.417 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.417 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.417 * [taylor]: Taking taylor expansion of 1 in U 12.417 * [backup-simplify]: Simplify 1 into 1 12.417 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.417 * [taylor]: Taking taylor expansion of 1/4 in U 12.417 * [backup-simplify]: Simplify 1/4 into 1/4 12.417 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.417 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.417 * [taylor]: Taking taylor expansion of J in U 12.417 * [backup-simplify]: Simplify J into J 12.417 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.417 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.417 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.417 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.417 * [taylor]: Taking taylor expansion of -1/2 in U 12.417 * [backup-simplify]: Simplify -1/2 into -1/2 12.417 * [taylor]: Taking taylor expansion of K in U 12.417 * [backup-simplify]: Simplify K into K 12.417 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.417 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.417 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.417 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.417 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.418 * [backup-simplify]: Simplify (- 0) into 0 12.418 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.418 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.418 * [taylor]: Taking taylor expansion of U in U 12.418 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 1 into 1 12.418 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.418 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.418 * [backup-simplify]: Simplify (* 1 1) into 1 12.418 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.419 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.419 * [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))) 12.419 * [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))) 12.419 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.420 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.420 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.420 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.420 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 12.420 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.420 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.420 * [taylor]: Taking taylor expansion of 1/4 in U 12.420 * [backup-simplify]: Simplify 1/4 into 1/4 12.420 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.420 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.420 * [taylor]: Taking taylor expansion of 1 in U 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.420 * [taylor]: Taking taylor expansion of 1/4 in U 12.420 * [backup-simplify]: Simplify 1/4 into 1/4 12.420 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.420 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.420 * [taylor]: Taking taylor expansion of J in U 12.420 * [backup-simplify]: Simplify J into J 12.420 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.420 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.420 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.420 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.420 * [taylor]: Taking taylor expansion of -1/2 in U 12.420 * [backup-simplify]: Simplify -1/2 into -1/2 12.420 * [taylor]: Taking taylor expansion of K in U 12.420 * [backup-simplify]: Simplify K into K 12.420 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.420 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.420 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.421 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.421 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.421 * [backup-simplify]: Simplify (- 0) into 0 12.421 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.421 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.421 * [taylor]: Taking taylor expansion of U in U 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.421 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.421 * [backup-simplify]: Simplify (* 1 1) into 1 12.421 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.422 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.422 * [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))) 12.422 * [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))) 12.422 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.423 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.423 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.423 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.423 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 12.423 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 12.423 * [taylor]: Taking taylor expansion of 1/4 in K 12.423 * [backup-simplify]: Simplify 1/4 into 1/4 12.423 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 12.423 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 12.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 12.423 * [taylor]: Taking taylor expansion of 1/4 in K 12.423 * [backup-simplify]: Simplify 1/4 into 1/4 12.423 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 12.423 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.423 * [taylor]: Taking taylor expansion of J in K 12.423 * [backup-simplify]: Simplify J into J 12.423 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.423 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.423 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.423 * [taylor]: Taking taylor expansion of -1/2 in K 12.423 * [backup-simplify]: Simplify -1/2 into -1/2 12.423 * [taylor]: Taking taylor expansion of K in K 12.423 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify 1 into 1 12.424 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.424 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.424 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.424 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.424 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.424 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.424 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.424 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.424 * [taylor]: Taking taylor expansion of 2 in K 12.424 * [backup-simplify]: Simplify 2 into 2 12.424 * [taylor]: Taking taylor expansion of (log U) in K 12.424 * [taylor]: Taking taylor expansion of U in K 12.424 * [backup-simplify]: Simplify U into U 12.424 * [backup-simplify]: Simplify (log U) into (log U) 12.424 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.425 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.425 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.425 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.425 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.425 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.425 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.425 * [taylor]: Taking taylor expansion of 1/4 in J 12.425 * [backup-simplify]: Simplify 1/4 into 1/4 12.425 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.425 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.425 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.425 * [taylor]: Taking taylor expansion of 1/4 in J 12.425 * [backup-simplify]: Simplify 1/4 into 1/4 12.425 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.425 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.425 * [taylor]: Taking taylor expansion of J in J 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 1 into 1 12.425 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.425 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.425 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.426 * [taylor]: Taking taylor expansion of -1/2 in J 12.426 * [backup-simplify]: Simplify -1/2 into -1/2 12.426 * [taylor]: Taking taylor expansion of K in J 12.426 * [backup-simplify]: Simplify K into K 12.426 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.426 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.426 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.426 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.426 * [backup-simplify]: Simplify (- 0) into 0 12.426 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.426 * [backup-simplify]: Simplify (* 1 1) into 1 12.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.427 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.427 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.427 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.427 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.427 * [taylor]: Taking taylor expansion of 2 in J 12.427 * [backup-simplify]: Simplify 2 into 2 12.427 * [taylor]: Taking taylor expansion of (log U) in J 12.427 * [taylor]: Taking taylor expansion of U in J 12.427 * [backup-simplify]: Simplify U into U 12.427 * [backup-simplify]: Simplify (log U) into (log U) 12.427 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.427 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.427 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.428 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.428 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.428 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.428 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.428 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.429 * [backup-simplify]: Simplify (+ 0) into 0 12.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.429 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.430 * [backup-simplify]: Simplify (- 0) into 0 12.431 * [backup-simplify]: Simplify (+ 0 0) into 0 12.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.431 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.431 * [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 12.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 12.433 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.434 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.435 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.435 * [taylor]: Taking taylor expansion of 0 in K 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [taylor]: Taking taylor expansion of 0 in J 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.435 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.436 * [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 12.437 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 12.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.439 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.440 * [backup-simplify]: Simplify (- 0) into 0 12.440 * [backup-simplify]: Simplify (+ 0 0) into 0 12.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.442 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.442 * [taylor]: Taking taylor expansion of 0 in J 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.444 * [backup-simplify]: Simplify (+ 0) into 0 12.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.446 * [backup-simplify]: Simplify (- 0) into 0 12.446 * [backup-simplify]: Simplify (+ 0 0) into 0 12.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.447 * [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 12.447 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.450 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.450 * [backup-simplify]: Simplify (- 0) into 0 12.450 * [backup-simplify]: Simplify (+ 0 0) into 0 12.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.452 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.452 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.456 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.457 * [backup-simplify]: Simplify (- 0) into 0 12.458 * [backup-simplify]: Simplify (+ 0 0) into 0 12.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.459 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.460 * [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 12.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.461 * [backup-simplify]: Simplify (+ 1 0) into 1 12.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 12.464 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.465 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 12.467 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 12.467 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 12.467 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 12.467 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.467 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.467 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.467 * [taylor]: Taking taylor expansion of -1/2 in K 12.467 * [backup-simplify]: Simplify -1/2 into -1/2 12.467 * [taylor]: Taking taylor expansion of K in K 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 1 into 1 12.468 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.468 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 12.468 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 12.468 * [taylor]: Taking taylor expansion of 1/4 in K 12.468 * [backup-simplify]: Simplify 1/4 into 1/4 12.468 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 12.468 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 12.468 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 12.468 * [taylor]: Taking taylor expansion of 1/4 in K 12.468 * [backup-simplify]: Simplify 1/4 into 1/4 12.468 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 12.468 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.468 * [taylor]: Taking taylor expansion of J in K 12.468 * [backup-simplify]: Simplify J into J 12.468 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.468 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.468 * [taylor]: Taking taylor expansion of -1/2 in K 12.468 * [backup-simplify]: Simplify -1/2 into -1/2 12.468 * [taylor]: Taking taylor expansion of K in K 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify 1 into 1 12.469 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.469 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.469 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.469 * [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))) 12.470 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.470 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.470 * [taylor]: Taking taylor expansion of 2 in K 12.470 * [backup-simplify]: Simplify 2 into 2 12.470 * [taylor]: Taking taylor expansion of (log U) in K 12.470 * [taylor]: Taking taylor expansion of U in K 12.470 * [backup-simplify]: Simplify U into U 12.470 * [backup-simplify]: Simplify (log U) into (log U) 12.470 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.470 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.470 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.471 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.471 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.471 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.471 * [taylor]: Taking taylor expansion of J in K 12.471 * [backup-simplify]: Simplify J into J 12.471 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.472 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.472 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.473 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 12.473 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 12.473 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 12.473 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.473 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.473 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.473 * [taylor]: Taking taylor expansion of -1/2 in J 12.473 * [backup-simplify]: Simplify -1/2 into -1/2 12.473 * [taylor]: Taking taylor expansion of K in J 12.473 * [backup-simplify]: Simplify K into K 12.473 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.474 * [backup-simplify]: Simplify (- 0) into 0 12.474 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.474 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.474 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.474 * [taylor]: Taking taylor expansion of 1/4 in J 12.474 * [backup-simplify]: Simplify 1/4 into 1/4 12.474 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.474 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.474 * [taylor]: Taking taylor expansion of 1/4 in J 12.474 * [backup-simplify]: Simplify 1/4 into 1/4 12.474 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.474 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.474 * [taylor]: Taking taylor expansion of J in J 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.475 * [taylor]: Taking taylor expansion of -1/2 in J 12.475 * [backup-simplify]: Simplify -1/2 into -1/2 12.475 * [taylor]: Taking taylor expansion of K in J 12.475 * [backup-simplify]: Simplify K into K 12.475 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.475 * [backup-simplify]: Simplify (- 0) into 0 12.476 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.476 * [backup-simplify]: Simplify (* 1 1) into 1 12.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.476 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.476 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.477 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.477 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.477 * [taylor]: Taking taylor expansion of 2 in J 12.477 * [backup-simplify]: Simplify 2 into 2 12.477 * [taylor]: Taking taylor expansion of (log U) in J 12.477 * [taylor]: Taking taylor expansion of U in J 12.477 * [backup-simplify]: Simplify U into U 12.477 * [backup-simplify]: Simplify (log U) into (log U) 12.477 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.478 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.478 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.478 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.478 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.479 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.479 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.479 * [taylor]: Taking taylor expansion of J in J 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.479 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.480 * [backup-simplify]: Simplify (* 1 1) into 1 12.480 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.482 * [backup-simplify]: Simplify (+ 0) into 0 12.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.482 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.484 * [backup-simplify]: Simplify (- 0) into 0 12.484 * [backup-simplify]: Simplify (+ 0 0) into 0 12.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.485 * [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 12.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.488 * [backup-simplify]: Simplify (- 0) into 0 12.488 * [backup-simplify]: Simplify (+ 0 0) into 0 12.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.494 * [backup-simplify]: Simplify (- 0) into 0 12.494 * [backup-simplify]: Simplify (+ 0 0) into 0 12.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.495 * [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 12.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.496 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.498 * [backup-simplify]: Simplify (- 0) into 0 12.498 * [backup-simplify]: Simplify (+ 0 0) into 0 12.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.500 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.500 * [backup-simplify]: Simplify (+ 0) into 0 12.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.502 * [backup-simplify]: Simplify (- 0) into 0 12.502 * [backup-simplify]: Simplify (+ 0 0) into 0 12.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.503 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.505 * [backup-simplify]: Simplify (- 0) into 0 12.505 * [backup-simplify]: Simplify (+ 0 0) into 0 12.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.506 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 12.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.507 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 12.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 12.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [taylor]: Taking taylor expansion of 0 in J 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.514 * [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 12.515 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 12.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.518 * [backup-simplify]: Simplify (- 0) into 0 12.518 * [backup-simplify]: Simplify (+ 0 0) into 0 12.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.520 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.520 * [taylor]: Taking taylor expansion of 0 in J 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 12.521 * [backup-simplify]: Simplify (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.521 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 12.521 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.521 * [taylor]: Taking taylor expansion of 1/4 in J 12.521 * [backup-simplify]: Simplify 1/4 into 1/4 12.521 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.521 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.521 * [taylor]: Taking taylor expansion of U in J 12.521 * [backup-simplify]: Simplify U into U 12.521 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.521 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.521 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.521 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.521 * [taylor]: Taking taylor expansion of 1/2 in J 12.521 * [backup-simplify]: Simplify 1/2 into 1/2 12.521 * [taylor]: Taking taylor expansion of K in J 12.521 * [backup-simplify]: Simplify K into K 12.521 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.521 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.521 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.521 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.521 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.522 * [backup-simplify]: Simplify (- 0) into 0 12.522 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.522 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.522 * [taylor]: Taking taylor expansion of J in J 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.522 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.522 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.522 * [backup-simplify]: Simplify (* 1 1) into 1 12.522 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.522 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.522 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.522 * [taylor]: Taking taylor expansion of 1/4 in K 12.522 * [backup-simplify]: Simplify 1/4 into 1/4 12.522 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.522 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.522 * [taylor]: Taking taylor expansion of U in K 12.522 * [backup-simplify]: Simplify U into U 12.522 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.522 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.522 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.522 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.522 * [taylor]: Taking taylor expansion of 1/2 in K 12.522 * [backup-simplify]: Simplify 1/2 into 1/2 12.522 * [taylor]: Taking taylor expansion of K in K 12.523 * [backup-simplify]: Simplify 0 into 0 12.523 * [backup-simplify]: Simplify 1 into 1 12.523 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.523 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.523 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.523 * [taylor]: Taking taylor expansion of J in K 12.523 * [backup-simplify]: Simplify J into J 12.523 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.524 * [backup-simplify]: Simplify (* 1 1) into 1 12.524 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.524 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.524 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.524 * [taylor]: Taking taylor expansion of 1/4 in U 12.524 * [backup-simplify]: Simplify 1/4 into 1/4 12.524 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.524 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.524 * [taylor]: Taking taylor expansion of U in U 12.524 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify 1 into 1 12.524 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.524 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.524 * [taylor]: Taking taylor expansion of 1/2 in U 12.524 * [backup-simplify]: Simplify 1/2 into 1/2 12.524 * [taylor]: Taking taylor expansion of K in U 12.524 * [backup-simplify]: Simplify K into K 12.524 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.524 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.524 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.525 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.525 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.525 * [backup-simplify]: Simplify (- 0) into 0 12.525 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.525 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.525 * [taylor]: Taking taylor expansion of J in U 12.525 * [backup-simplify]: Simplify J into J 12.525 * [backup-simplify]: Simplify (* 1 1) into 1 12.525 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.525 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.526 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.526 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.526 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.526 * [taylor]: Taking taylor expansion of 1/4 in U 12.526 * [backup-simplify]: Simplify 1/4 into 1/4 12.526 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.526 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.526 * [taylor]: Taking taylor expansion of U in U 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify 1 into 1 12.526 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.526 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.526 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.526 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.526 * [taylor]: Taking taylor expansion of 1/2 in U 12.526 * [backup-simplify]: Simplify 1/2 into 1/2 12.526 * [taylor]: Taking taylor expansion of K in U 12.526 * [backup-simplify]: Simplify K into K 12.526 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.526 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.526 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.526 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.526 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.526 * [backup-simplify]: Simplify (- 0) into 0 12.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.526 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.527 * [taylor]: Taking taylor expansion of J in U 12.527 * [backup-simplify]: Simplify J into J 12.527 * [backup-simplify]: Simplify (* 1 1) into 1 12.527 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.527 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.527 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.527 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.527 * [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))) 12.527 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.527 * [taylor]: Taking taylor expansion of 1/4 in K 12.527 * [backup-simplify]: Simplify 1/4 into 1/4 12.527 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.527 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.527 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.528 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.528 * [taylor]: Taking taylor expansion of 1/2 in K 12.528 * [backup-simplify]: Simplify 1/2 into 1/2 12.528 * [taylor]: Taking taylor expansion of K in K 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.528 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.528 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.528 * [taylor]: Taking taylor expansion of J in K 12.528 * [backup-simplify]: Simplify J into J 12.529 * [backup-simplify]: Simplify (* 1 1) into 1 12.529 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.529 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.529 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 12.529 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 12.529 * [taylor]: Taking taylor expansion of 1/4 in J 12.529 * [backup-simplify]: Simplify 1/4 into 1/4 12.529 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.529 * [taylor]: Taking taylor expansion of J in J 12.529 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify 1 into 1 12.529 * [backup-simplify]: Simplify (* 1 1) into 1 12.529 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 12.529 * [backup-simplify]: Simplify 1/4 into 1/4 12.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.530 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.530 * [backup-simplify]: Simplify (+ 0) into 0 12.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.532 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify (+ 0 0) into 0 12.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.532 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.533 * [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 12.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.533 * [taylor]: Taking taylor expansion of 0 in K 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [taylor]: Taking taylor expansion of 0 in J 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.534 * [backup-simplify]: Simplify (+ 0) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.535 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 12.535 * [taylor]: Taking taylor expansion of 0 in J 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.536 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.537 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.538 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.539 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.539 * [backup-simplify]: Simplify (- 0) into 0 12.539 * [backup-simplify]: Simplify (+ 0 0) into 0 12.540 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.540 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 12.541 * [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 12.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.541 * [taylor]: Taking taylor expansion of 0 in K 12.541 * [backup-simplify]: Simplify 0 into 0 12.541 * [taylor]: Taking taylor expansion of 0 in J 12.541 * [backup-simplify]: Simplify 0 into 0 12.542 * [taylor]: Taking taylor expansion of 0 in J 12.542 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 12.544 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 12.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 12.546 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 12.546 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 12.546 * [taylor]: Taking taylor expansion of 1/16 in J 12.546 * [backup-simplify]: Simplify 1/16 into 1/16 12.546 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 12.546 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.546 * [taylor]: Taking taylor expansion of J in J 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify 1 into 1 12.546 * [backup-simplify]: Simplify (* 1 1) into 1 12.547 * [backup-simplify]: Simplify (/ 1 1) into 1 12.547 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 12.547 * [backup-simplify]: Simplify 1/16 into 1/16 12.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.550 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.553 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.554 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 12.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.557 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.558 * [backup-simplify]: Simplify (- 0) into 0 12.558 * [backup-simplify]: Simplify (+ 0 0) into 0 12.559 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 12.560 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 12.562 * [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 12.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 12.563 * [taylor]: Taking taylor expansion of 0 in K 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [taylor]: Taking taylor expansion of 0 in J 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [taylor]: Taking taylor expansion of 0 in J 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [taylor]: Taking taylor expansion of 0 in J 12.564 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 12.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 12.571 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 12.571 * [taylor]: Taking taylor expansion of 0 in J 12.571 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.573 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.574 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.576 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 12.577 * [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 12.578 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 12.580 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 12.580 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 12.580 * [backup-simplify]: Simplify (- 0) into 0 12.581 * [backup-simplify]: Simplify (+ 0 0) into 0 12.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 12.582 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 12.583 * [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 12.584 * [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 12.584 * [taylor]: Taking taylor expansion of 0 in K 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [taylor]: Taking taylor expansion of 0 in J 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [taylor]: Taking taylor expansion of 0 in J 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [taylor]: Taking taylor expansion of 0 in J 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [taylor]: Taking taylor expansion of 0 in J 12.584 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 12.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.587 * [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 12.588 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 12.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 12.590 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 12.590 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 12.590 * [taylor]: Taking taylor expansion of 1/96 in J 12.590 * [backup-simplify]: Simplify 1/96 into 1/96 12.590 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 12.590 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.590 * [taylor]: Taking taylor expansion of J in J 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (* 1 1) into 1 12.591 * [backup-simplify]: Simplify (/ 1 1) into 1 12.591 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 12.591 * [backup-simplify]: Simplify 1/96 into 1/96 12.592 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 12.592 * [backup-simplify]: Simplify (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.592 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 12.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.592 * [taylor]: Taking taylor expansion of 1/4 in J 12.592 * [backup-simplify]: Simplify 1/4 into 1/4 12.592 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.592 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.592 * [taylor]: Taking taylor expansion of J in J 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.592 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.592 * [taylor]: Taking taylor expansion of U in J 12.592 * [backup-simplify]: Simplify U into U 12.592 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.592 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.592 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.592 * [taylor]: Taking taylor expansion of 1/2 in J 12.592 * [backup-simplify]: Simplify 1/2 into 1/2 12.592 * [taylor]: Taking taylor expansion of K in J 12.592 * [backup-simplify]: Simplify K into K 12.592 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.592 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.592 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.592 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.592 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.593 * [backup-simplify]: Simplify (- 0) into 0 12.593 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.593 * [backup-simplify]: Simplify (* 1 1) into 1 12.593 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.593 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.593 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.593 * [taylor]: Taking taylor expansion of 1/4 in K 12.593 * [backup-simplify]: Simplify 1/4 into 1/4 12.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.593 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.594 * [taylor]: Taking taylor expansion of J in K 12.594 * [backup-simplify]: Simplify J into J 12.594 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.594 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.594 * [taylor]: Taking taylor expansion of U in K 12.594 * [backup-simplify]: Simplify U into U 12.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.594 * [taylor]: Taking taylor expansion of 1/2 in K 12.594 * [backup-simplify]: Simplify 1/2 into 1/2 12.594 * [taylor]: Taking taylor expansion of K in K 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.594 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.594 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.594 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.595 * [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))) 12.595 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.595 * [taylor]: Taking taylor expansion of 1/4 in U 12.595 * [backup-simplify]: Simplify 1/4 into 1/4 12.595 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.595 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.595 * [taylor]: Taking taylor expansion of J in U 12.595 * [backup-simplify]: Simplify J into J 12.595 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.595 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.595 * [taylor]: Taking taylor expansion of U in U 12.595 * [backup-simplify]: Simplify 0 into 0 12.595 * [backup-simplify]: Simplify 1 into 1 12.595 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.595 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.595 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.595 * [taylor]: Taking taylor expansion of 1/2 in U 12.595 * [backup-simplify]: Simplify 1/2 into 1/2 12.595 * [taylor]: Taking taylor expansion of K in U 12.595 * [backup-simplify]: Simplify K into K 12.595 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.595 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.595 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.595 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.595 * [backup-simplify]: Simplify (- 0) into 0 12.595 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.595 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.596 * [backup-simplify]: Simplify (* 1 1) into 1 12.596 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.596 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.596 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.596 * [taylor]: Taking taylor expansion of 1/4 in U 12.596 * [backup-simplify]: Simplify 1/4 into 1/4 12.596 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.596 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.596 * [taylor]: Taking taylor expansion of J in U 12.596 * [backup-simplify]: Simplify J into J 12.596 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.596 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.596 * [taylor]: Taking taylor expansion of U in U 12.596 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify 1 into 1 12.596 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.596 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.596 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.596 * [taylor]: Taking taylor expansion of 1/2 in U 12.596 * [backup-simplify]: Simplify 1/2 into 1/2 12.596 * [taylor]: Taking taylor expansion of K in U 12.596 * [backup-simplify]: Simplify K into K 12.596 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.596 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.596 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.596 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.596 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.597 * [backup-simplify]: Simplify (- 0) into 0 12.597 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.597 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.597 * [backup-simplify]: Simplify (* 1 1) into 1 12.597 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.597 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.597 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.598 * [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))) 12.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 12.598 * [taylor]: Taking taylor expansion of 1/4 in K 12.598 * [backup-simplify]: Simplify 1/4 into 1/4 12.598 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 12.598 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.598 * [taylor]: Taking taylor expansion of J in K 12.598 * [backup-simplify]: Simplify J into J 12.598 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.598 * [taylor]: Taking taylor expansion of 1/2 in K 12.598 * [backup-simplify]: Simplify 1/2 into 1/2 12.598 * [taylor]: Taking taylor expansion of K in K 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 1 into 1 12.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.598 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.598 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.598 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.598 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.599 * [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))) 12.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.599 * [taylor]: Taking taylor expansion of 1/4 in J 12.599 * [backup-simplify]: Simplify 1/4 into 1/4 12.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.599 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.599 * [taylor]: Taking taylor expansion of J in J 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.599 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.599 * [taylor]: Taking taylor expansion of 1/2 in J 12.599 * [backup-simplify]: Simplify 1/2 into 1/2 12.599 * [taylor]: Taking taylor expansion of K in J 12.599 * [backup-simplify]: Simplify K into K 12.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.599 * [backup-simplify]: Simplify (- 0) into 0 12.599 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.600 * [backup-simplify]: Simplify (* 1 1) into 1 12.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.600 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.600 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.600 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.600 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.600 * [backup-simplify]: Simplify (+ 0) into 0 12.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.602 * [backup-simplify]: Simplify (- 0) into 0 12.602 * [backup-simplify]: Simplify (+ 0 0) into 0 12.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.605 * [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 12.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.605 * [taylor]: Taking taylor expansion of 0 in K 12.605 * [backup-simplify]: Simplify 0 into 0 12.605 * [taylor]: Taking taylor expansion of 0 in J 12.605 * [backup-simplify]: Simplify 0 into 0 12.606 * [backup-simplify]: Simplify 0 into 0 12.606 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.606 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.606 * [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 12.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.607 * [taylor]: Taking taylor expansion of 0 in J 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.608 * [backup-simplify]: Simplify (+ 0) into 0 12.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.609 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.611 * [backup-simplify]: Simplify (- 0) into 0 12.611 * [backup-simplify]: Simplify (+ 0 0) into 0 12.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.612 * [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 12.613 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.616 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.617 * [backup-simplify]: Simplify (- 0) into 0 12.617 * [backup-simplify]: Simplify (+ 0 0) into 0 12.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.621 * [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 12.622 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.622 * [taylor]: Taking taylor expansion of 0 in K 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [taylor]: Taking taylor expansion of 0 in J 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [taylor]: Taking taylor expansion of 0 in J 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.624 * [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 12.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.625 * [taylor]: Taking taylor expansion of 0 in J 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.626 * [backup-simplify]: Simplify (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.626 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 12.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.626 * [taylor]: Taking taylor expansion of 1/4 in J 12.626 * [backup-simplify]: Simplify 1/4 into 1/4 12.626 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.626 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.626 * [taylor]: Taking taylor expansion of J in J 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify 1 into 1 12.626 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.626 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.626 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.626 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.626 * [taylor]: Taking taylor expansion of -1/2 in J 12.626 * [backup-simplify]: Simplify -1/2 into -1/2 12.626 * [taylor]: Taking taylor expansion of K in J 12.627 * [backup-simplify]: Simplify K into K 12.627 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.627 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.627 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.627 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.627 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.627 * [backup-simplify]: Simplify (- 0) into 0 12.627 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.628 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.628 * [taylor]: Taking taylor expansion of U in J 12.628 * [backup-simplify]: Simplify U into U 12.628 * [backup-simplify]: Simplify (* 1 1) into 1 12.628 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.628 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.628 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.629 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.629 * [taylor]: Taking taylor expansion of 1/4 in K 12.629 * [backup-simplify]: Simplify 1/4 into 1/4 12.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.629 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.629 * [taylor]: Taking taylor expansion of J in K 12.629 * [backup-simplify]: Simplify J into J 12.629 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.629 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.629 * [taylor]: Taking taylor expansion of -1/2 in K 12.629 * [backup-simplify]: Simplify -1/2 into -1/2 12.629 * [taylor]: Taking taylor expansion of K in K 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify 1 into 1 12.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.634 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.634 * [taylor]: Taking taylor expansion of U in K 12.635 * [backup-simplify]: Simplify U into U 12.635 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.635 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.635 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.636 * [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))) 12.636 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.636 * [taylor]: Taking taylor expansion of 1/4 in U 12.636 * [backup-simplify]: Simplify 1/4 into 1/4 12.636 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.636 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.636 * [taylor]: Taking taylor expansion of J in U 12.636 * [backup-simplify]: Simplify J into J 12.636 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.636 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.636 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.636 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.636 * [taylor]: Taking taylor expansion of -1/2 in U 12.636 * [backup-simplify]: Simplify -1/2 into -1/2 12.636 * [taylor]: Taking taylor expansion of K in U 12.636 * [backup-simplify]: Simplify K into K 12.636 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.636 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.636 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.636 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.637 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.637 * [backup-simplify]: Simplify (- 0) into 0 12.637 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.637 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.637 * [taylor]: Taking taylor expansion of U in U 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify 1 into 1 12.638 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.638 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.638 * [backup-simplify]: Simplify (* 1 1) into 1 12.638 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.638 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.639 * [taylor]: Taking taylor expansion of 1/4 in U 12.639 * [backup-simplify]: Simplify 1/4 into 1/4 12.639 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.639 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.639 * [taylor]: Taking taylor expansion of J in U 12.639 * [backup-simplify]: Simplify J into J 12.639 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.639 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.639 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.639 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.639 * [taylor]: Taking taylor expansion of -1/2 in U 12.639 * [backup-simplify]: Simplify -1/2 into -1/2 12.639 * [taylor]: Taking taylor expansion of K in U 12.639 * [backup-simplify]: Simplify K into K 12.639 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.639 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.639 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.639 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.640 * [backup-simplify]: Simplify (- 0) into 0 12.640 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.640 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.640 * [taylor]: Taking taylor expansion of U in U 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.641 * [backup-simplify]: Simplify (* 1 1) into 1 12.641 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.641 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.641 * [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))) 12.641 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 12.641 * [taylor]: Taking taylor expansion of 1/4 in K 12.641 * [backup-simplify]: Simplify 1/4 into 1/4 12.641 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 12.642 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.642 * [taylor]: Taking taylor expansion of J in K 12.642 * [backup-simplify]: Simplify J into J 12.642 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.642 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.642 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.642 * [taylor]: Taking taylor expansion of -1/2 in K 12.642 * [backup-simplify]: Simplify -1/2 into -1/2 12.642 * [taylor]: Taking taylor expansion of K in K 12.642 * [backup-simplify]: Simplify 0 into 0 12.642 * [backup-simplify]: Simplify 1 into 1 12.642 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.642 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.642 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.643 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.643 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.643 * [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))) 12.643 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.643 * [taylor]: Taking taylor expansion of 1/4 in J 12.643 * [backup-simplify]: Simplify 1/4 into 1/4 12.643 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.643 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.643 * [taylor]: Taking taylor expansion of J in J 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.643 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.643 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.643 * [taylor]: Taking taylor expansion of -1/2 in J 12.644 * [backup-simplify]: Simplify -1/2 into -1/2 12.644 * [taylor]: Taking taylor expansion of K in J 12.644 * [backup-simplify]: Simplify K into K 12.644 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.644 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.644 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.644 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.644 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.644 * [backup-simplify]: Simplify (- 0) into 0 12.644 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.645 * [backup-simplify]: Simplify (* 1 1) into 1 12.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.645 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.645 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.646 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.646 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.647 * [backup-simplify]: Simplify (+ 0) into 0 12.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.648 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.649 * [backup-simplify]: Simplify (- 0) into 0 12.649 * [backup-simplify]: Simplify (+ 0 0) into 0 12.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.650 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.650 * [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 12.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.651 * [taylor]: Taking taylor expansion of 0 in K 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [taylor]: Taking taylor expansion of 0 in J 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.651 * [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 12.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.652 * [taylor]: Taking taylor expansion of 0 in J 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.652 * [backup-simplify]: Simplify (+ 0) into 0 12.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.654 * [backup-simplify]: Simplify (- 0) into 0 12.654 * [backup-simplify]: Simplify (+ 0 0) into 0 12.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.654 * [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 12.655 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.655 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.657 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.658 * [backup-simplify]: Simplify (- 0) into 0 12.658 * [backup-simplify]: Simplify (+ 0 0) into 0 12.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.659 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.659 * [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 12.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.660 * [taylor]: Taking taylor expansion of 0 in K 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [taylor]: Taking taylor expansion of 0 in J 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [taylor]: Taking taylor expansion of 0 in J 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.661 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.662 * [taylor]: Taking taylor expansion of 0 in J 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.662 * * * [progress]: simplifying candidates 12.662 * * * * [progress]: [ 1 / 187 ] simplifiying candidate # 12.662 * * * * [progress]: [ 2 / 187 ] simplifiying candidate # 12.662 * * * * [progress]: [ 3 / 187 ] simplifiying candidate # 12.662 * * * * [progress]: [ 4 / 187 ] simplifiying candidate # 12.662 * * * * [progress]: [ 5 / 187 ] simplifiying candidate # 12.662 * * * * [progress]: [ 6 / 187 ] simplifiying candidate # 12.663 * * * * [progress]: [ 7 / 187 ] simplifiying candidate # 12.663 * * * * [progress]: [ 8 / 187 ] simplifiying candidate # 12.663 * * * * [progress]: [ 9 / 187 ] simplifiying candidate # 12.663 * * * * [progress]: [ 10 / 187 ] 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simplifiying candidate # 12.664 * * * * [progress]: [ 37 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 38 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 39 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 40 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 41 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 42 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 43 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 44 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 45 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 46 / 187 ] simplifiying candidate # 12.664 * * * * [progress]: [ 47 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 48 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 49 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 50 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 51 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 52 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 53 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 54 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 55 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 56 / 187 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)))> 12.665 * * * * [progress]: [ 57 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 58 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 59 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 60 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 61 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 62 / 187 ] simplifiying candidate # 12.665 * * * * [progress]: [ 63 / 187 ] simplifiying candidate # 12.665 * * * * 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12.667 * * * * [progress]: [ 95 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 96 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 97 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 98 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 99 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 100 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 101 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 102 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 103 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 104 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 105 / 187 ] simplifiying candidate # 12.667 * * * * [progress]: [ 106 / 187 ] simplifiying candidate # 12.668 * * * * [progress]: [ 107 / 187 ] simplifiying candidate # 12.668 * * * * [progress]: [ 108 / 187 ] simplifiying candidate # 12.668 * * * * [progress]: [ 109 / 187 ] simplifiying candidate # 12.668 * * * * 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[progress]: [ 155 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 156 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 157 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 158 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 159 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 160 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 161 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 162 / 187 ] simplifiying candidate # 12.670 * * * * [progress]: [ 163 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 164 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 165 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 166 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 167 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 168 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 169 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 170 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 171 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 172 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 173 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 174 / 187 ] simplifiying candidate #real (real->posit16 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1) 1/4)))> 12.671 * * * * [progress]: [ 175 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 176 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 177 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 178 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 179 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 180 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 181 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 182 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 183 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 184 / 187 ] simplifiying candidate # 12.671 * * * * [progress]: [ 185 / 187 ] simplifiying candidate # 12.672 * * * * [progress]: [ 186 / 187 ] simplifiying candidate # 12.672 * * * * [progress]: [ 187 / 187 ] simplifiying candidate # 12.674 * [simplify]: Simplifying: (* (log (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) 1/4) (* (log (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) 1/4) (* 1 1/4) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (cbrt 1/4) (cbrt 1/4))) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (sqrt 1/4)) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1) (pow (* (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 1/4) (pow (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) 1/4) (pow (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) 1/4) (pow (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) 1/4) (pow 1 1/4) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4) (log (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (exp (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (* (cbrt (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (cbrt (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4))) (cbrt (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (* (* (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (sqrt (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (sqrt (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ 1/4 2)) (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ 1/4 2)) (real->posit16 (pow (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) 1/4)) (log (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (exp (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (* (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U 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(cos (/ K 2))))) 2)) (* (/ (cbrt (/ U (cos (/ K 2)))) J) (/ (cbrt (/ U (cos (/ K 2)))) J)) (* (/ (sqrt (/ U (cos (/ K 2)))) 2) (/ (sqrt (/ U (cos (/ K 2)))) 2)) (* (/ (sqrt (/ U (cos (/ K 2)))) J) (/ (sqrt (/ U (cos (/ K 2)))) J)) (* (/ (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ 2 (/ (cbrt U) (cbrt (cos (/ K 2)))))) (/ (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ 2 (/ (cbrt U) (cbrt (cos (/ K 2))))))) (* (/ (/ (cbrt U) J) (cbrt (cos (/ K 2)))) (/ (/ (cbrt U) J) (cbrt (cos (/ K 2))))) (* (* (/ (cbrt U) 2) (/ (cbrt U) (sqrt (cos (/ K 2))))) (* (/ (cbrt U) 2) (/ (cbrt U) (sqrt (cos (/ K 2)))))) (* (/ (/ (cbrt U) J) (sqrt (cos (/ K 2)))) (/ (/ (cbrt U) J) (sqrt (cos (/ K 2))))) (* (/ (cbrt U) (/ 2 (cbrt U))) (/ (cbrt U) (/ 2 (cbrt U)))) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) (* (/ (/ (/ (sqrt U) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) 2) (/ (/ (/ (sqrt U) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) 2)) (* (/ (/ (sqrt U) J) (cbrt (cos (/ K 2)))) (/ (/ (sqrt U) J) (cbrt (cos (/ K 2))))) (* (/ (/ (sqrt U) 2) (sqrt (cos (/ K 2)))) (/ (/ (sqrt U) 2) (sqrt (cos (/ K 2))))) (* (/ (/ (sqrt U) J) (sqrt (cos (/ K 2)))) (/ (/ (sqrt U) J) (sqrt (cos (/ K 2))))) (* (/ (sqrt U) 2) (/ (sqrt U) 2)) (* (/ (/ (sqrt U) J) (cos (/ K 2))) (/ (/ (sqrt U) J) (cos (/ K 2)))) (* (/ 1/2 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ 1/2 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (/ (/ U J) (cbrt (cos (/ K 2)))) (/ (/ U J) (cbrt (cos (/ K 2))))) (* (/ 1/2 (sqrt (cos (/ K 2)))) (/ 1/2 (sqrt (cos (/ K 2))))) (* (/ U (* J (sqrt (cos (/ K 2))))) (/ U (* J (sqrt (cos (/ K 2)))))) 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) (* (/ U 2) (/ U 2)) (* (/ (/ 1 J) (cos (/ K 2))) (/ (/ 1 J) (cos (/ K 2)))) 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2) 2 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (cbrt (/ (/ (/ U (cos (/ K 2))) J) 2)) (cbrt (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (sqrt (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (* (cbrt (/ U (cos (/ K 2)))) (cbrt (/ U (cos (/ K 2))))) 2)) (/ (/ U (cos (/ K 2))) (/ (* J 2) (/ (sqrt (/ U (cos (/ K 2)))) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (cbrt U) (cbrt (cos (/ K 2)))) (/ 2 (/ (cbrt U) (cbrt (cos (/ K 2))))))) (* (* (/ (cbrt U) 2) (/ (cbrt U) (sqrt (cos (/ K 2))))) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (* (/ (cbrt U) (/ 2 (cbrt U))) (/ U (cos (/ K 2)))) (* J 2)) (/ (* (/ U (cos (/ K 2))) (/ (/ (/ (sqrt U) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) 2)) (* J 2)) (/ (/ (* (/ U (cos (/ K 2))) (/ (sqrt U) (sqrt (cos (/ K 2))))) 2) (* J 2)) (* (/ (/ U (cos (/ K 2))) 2) (/ (/ (sqrt U) 2) J)) (/ (/ (/ (/ U (cos (/ K 2))) J) 2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 2)) (/ (* (/ 1/2 (sqrt (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* J 2)) (* (/ (/ U (cos (/ K 2))) J) 1/4) (* (/ (/ U (cos (/ K 2))) J) 1/4) (/ (* (/ U 2) (/ U (cos (/ K 2)))) (* J 2)) (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) J) 2) (* (cbrt (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (sqrt (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (cbrt (/ U (cos (/ K 2)))) J) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (* (/ U (cos (/ K 2))) (sqrt (/ U (cos (/ K 2))))) (* J 2)) J) (/ (/ (* (/ U (cos (/ K 2))) (/ (/ (cbrt U) J) (cbrt (cos (/ K 2))))) 2) J) (* (/ (/ (/ (cbrt U) J) (sqrt (cos (/ K 2)))) 2) (/ (/ U (cos (/ K 2))) J)) (/ (* (/ U (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) (* J 2)) (/ (* (/ (/ (sqrt U) J) (cbrt (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* J 2)) (/ (* (/ U (cos (/ K 2))) (/ (/ (sqrt U) J) (sqrt (cos (/ K 2))))) (* J 2)) (* (/ (/ (/ (sqrt U) J) (cos (/ K 2))) J) (/ (/ U (cos (/ K 2))) 2)) (/ (/ (/ U J) (cbrt (cos (/ K 2)))) (/ (* J 2) (/ U (cos (/ K 2))))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ U (* J (sqrt (cos (/ K 2)))))) (/ (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 2) (/ (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 2) (/ (/ (* (/ (/ 1 J) (cos (/ K 2))) (/ U (cos (/ K 2)))) 2) J) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ (/ U (cos (/ K 2))) J) 2) (* J 2)) (/ (/ (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) J) 2) (/ (/ (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) J) 2) (real->posit16 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1 (exp (* 1/4 (+ (* 2 (- (- (log J)) (- (log U)))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) (exp (* 1/4 (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) 1 (* (/ 1/2 (cos (* 1/2 K))) (/ U J)) (* (/ 1/2 (cos (* 1/2 K))) (/ U J)) 1 (exp (* 1/4 (+ (* 2 (- (- (log J)) (- (log U)))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) (exp (* 1/4 (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) (+ (/ (* (* (* K K) (* K K)) 1/96) (/ (* J J) (* U U))) (+ (/ (* (* 1/16 (* U U)) (* K K)) (* J J)) (/ (* (* U U) 1/4) (* J J)))) (/ (* 1/4 (* U U)) (* (* J J) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (/ (* 1/4 (* U U)) (* (* J J) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 15.867 * * * [progress]: adding candidates to table 17.093 * * [progress]: iteration 4 / 4 17.093 * * * [progress]: picking best candidate 17.144 * * * * [pick]: Picked # 17.144 * * * [progress]: localizing error 17.224 * * * [progress]: generating rewritten candidates 17.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 17.275 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 17.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 17.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 17.505 * * * [progress]: generating series expansions 17.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 17.506 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 17.506 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U K J) around 0 17.506 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 17.506 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 17.506 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 17.506 * [taylor]: Taking taylor expansion of 1/6 in J 17.506 * [backup-simplify]: Simplify 1/6 into 1/6 17.506 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 17.506 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 17.506 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 17.506 * [taylor]: Taking taylor expansion of 1/4 in J 17.506 * [backup-simplify]: Simplify 1/4 into 1/4 17.506 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 17.506 * [taylor]: Taking taylor expansion of (pow U 2) in J 17.506 * [taylor]: Taking taylor expansion of U in J 17.506 * [backup-simplify]: Simplify U into U 17.506 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 17.506 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 17.506 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 17.506 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 17.506 * [taylor]: Taking taylor expansion of 1/2 in J 17.506 * [backup-simplify]: Simplify 1/2 into 1/2 17.506 * [taylor]: Taking taylor expansion of K in J 17.506 * [backup-simplify]: Simplify K into K 17.506 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 17.506 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 17.506 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 17.506 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 17.506 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 17.507 * [backup-simplify]: Simplify (- 0) into 0 17.507 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 17.507 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.507 * [taylor]: Taking taylor expansion of J in J 17.507 * [backup-simplify]: Simplify 0 into 0 17.507 * [backup-simplify]: Simplify 1 into 1 17.507 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.507 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 17.507 * [backup-simplify]: Simplify (* 1 1) into 1 17.507 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 17.508 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 17.508 * [taylor]: Taking taylor expansion of 1 in J 17.508 * [backup-simplify]: Simplify 1 into 1 17.508 * [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))) 17.508 * [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))) 17.508 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 17.509 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 17.509 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 17.509 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 17.509 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 17.509 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 17.509 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 17.509 * [taylor]: Taking taylor expansion of 1/6 in K 17.509 * [backup-simplify]: Simplify 1/6 into 1/6 17.509 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 17.510 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 17.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 17.510 * [taylor]: Taking taylor expansion of 1/4 in K 17.510 * [backup-simplify]: Simplify 1/4 into 1/4 17.510 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 17.510 * [taylor]: Taking taylor expansion of (pow U 2) in K 17.510 * [taylor]: Taking taylor expansion of U in K 17.510 * [backup-simplify]: Simplify U into U 17.510 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 17.510 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 17.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 17.510 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 17.510 * [taylor]: Taking taylor expansion of 1/2 in K 17.510 * [backup-simplify]: Simplify 1/2 into 1/2 17.510 * [taylor]: Taking taylor expansion of K in K 17.510 * [backup-simplify]: Simplify 0 into 0 17.510 * [backup-simplify]: Simplify 1 into 1 17.510 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.511 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 17.511 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.511 * [taylor]: Taking taylor expansion of J in K 17.511 * [backup-simplify]: Simplify J into J 17.511 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.511 * [backup-simplify]: Simplify (* 1 1) into 1 17.511 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.511 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 17.511 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 17.511 * [taylor]: Taking taylor expansion of 1 in K 17.511 * [backup-simplify]: Simplify 1 into 1 17.511 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 17.512 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 17.512 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 17.512 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 17.512 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 17.512 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 17.512 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 17.512 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 17.512 * [taylor]: Taking taylor expansion of 1/6 in U 17.512 * [backup-simplify]: Simplify 1/6 into 1/6 17.512 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 17.512 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 17.512 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 17.512 * [taylor]: Taking taylor expansion of 1/4 in U 17.512 * [backup-simplify]: Simplify 1/4 into 1/4 17.512 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 17.512 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.512 * [taylor]: Taking taylor expansion of U in U 17.512 * [backup-simplify]: Simplify 0 into 0 17.512 * [backup-simplify]: Simplify 1 into 1 17.512 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 17.512 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 17.512 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 17.512 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 17.512 * [taylor]: Taking taylor expansion of 1/2 in U 17.512 * [backup-simplify]: Simplify 1/2 into 1/2 17.512 * [taylor]: Taking taylor expansion of K in U 17.512 * [backup-simplify]: Simplify K into K 17.512 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 17.513 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 17.513 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 17.513 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 17.513 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 17.513 * [backup-simplify]: Simplify (- 0) into 0 17.513 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 17.513 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.513 * [taylor]: Taking taylor expansion of J in U 17.513 * [backup-simplify]: Simplify J into J 17.513 * [backup-simplify]: Simplify (* 1 1) into 1 17.513 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 17.513 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.514 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 17.514 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.514 * [taylor]: Taking taylor expansion of 1 in U 17.514 * [backup-simplify]: Simplify 1 into 1 17.514 * [backup-simplify]: Simplify (+ 0 1) into 1 17.514 * [backup-simplify]: Simplify (log 1) into 0 17.515 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.515 * [backup-simplify]: Simplify (+ 0 0) into 0 17.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.516 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.516 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.516 * [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)))) 17.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.518 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 17.518 * [backup-simplify]: Simplify (exp 0) into 1 17.518 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 17.518 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 17.518 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 17.518 * [taylor]: Taking taylor expansion of 1/6 in U 17.518 * [backup-simplify]: Simplify 1/6 into 1/6 17.518 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 17.518 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 17.518 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 17.518 * [taylor]: Taking taylor expansion of 1/4 in U 17.518 * [backup-simplify]: Simplify 1/4 into 1/4 17.518 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 17.518 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.518 * [taylor]: Taking taylor expansion of U in U 17.518 * [backup-simplify]: Simplify 0 into 0 17.518 * [backup-simplify]: Simplify 1 into 1 17.519 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 17.519 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 17.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 17.519 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 17.519 * [taylor]: Taking taylor expansion of 1/2 in U 17.519 * [backup-simplify]: Simplify 1/2 into 1/2 17.519 * [taylor]: Taking taylor expansion of K in U 17.519 * [backup-simplify]: Simplify K into K 17.519 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 17.519 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 17.519 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 17.519 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 17.519 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 17.519 * [backup-simplify]: Simplify (- 0) into 0 17.519 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 17.519 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.519 * [taylor]: Taking taylor expansion of J in U 17.519 * [backup-simplify]: Simplify J into J 17.519 * [backup-simplify]: Simplify (* 1 1) into 1 17.520 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 17.520 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.520 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 17.520 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.520 * [taylor]: Taking taylor expansion of 1 in U 17.520 * [backup-simplify]: Simplify 1 into 1 17.520 * [backup-simplify]: Simplify (+ 0 1) into 1 17.520 * [backup-simplify]: Simplify (log 1) into 0 17.521 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.521 * [backup-simplify]: Simplify (+ 0 0) into 0 17.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.522 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.522 * [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))) 17.522 * [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)))) 17.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.524 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 17.524 * [backup-simplify]: Simplify (exp 0) into 1 17.524 * [taylor]: Taking taylor expansion of 1 in K 17.524 * [backup-simplify]: Simplify 1 into 1 17.524 * [taylor]: Taking taylor expansion of 1 in J 17.524 * [backup-simplify]: Simplify 1 into 1 17.524 * [backup-simplify]: Simplify 1 into 1 17.525 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 17.525 * [taylor]: Taking taylor expansion of 0 in K 17.525 * [backup-simplify]: Simplify 0 into 0 17.525 * [taylor]: Taking taylor expansion of 0 in J 17.525 * [backup-simplify]: Simplify 0 into 0 17.525 * [backup-simplify]: Simplify 0 into 0 17.525 * [taylor]: Taking taylor expansion of 0 in J 17.525 * [backup-simplify]: Simplify 0 into 0 17.525 * [backup-simplify]: Simplify 0 into 0 17.525 * [backup-simplify]: Simplify 0 into 0 17.526 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.526 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 17.526 * [taylor]: Taking taylor expansion of 1/24 in K 17.526 * [backup-simplify]: Simplify 1/24 into 1/24 17.526 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 17.526 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 17.526 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 17.526 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 17.526 * [taylor]: Taking taylor expansion of 1/2 in K 17.526 * [backup-simplify]: Simplify 1/2 into 1/2 17.526 * [taylor]: Taking taylor expansion of K in K 17.526 * [backup-simplify]: Simplify 0 into 0 17.526 * [backup-simplify]: Simplify 1 into 1 17.526 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.527 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 17.527 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.527 * [taylor]: Taking taylor expansion of J in K 17.527 * [backup-simplify]: Simplify J into J 17.527 * [backup-simplify]: Simplify (* 1 1) into 1 17.527 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.527 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 17.527 * [backup-simplify]: Simplify (/ 1/24 (pow J 2)) into (/ 1/24 (pow J 2)) 17.527 * [taylor]: Taking taylor expansion of (/ 1/24 (pow J 2)) in J 17.527 * [taylor]: Taking taylor expansion of 1/24 in J 17.527 * [backup-simplify]: Simplify 1/24 into 1/24 17.527 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.527 * [taylor]: Taking taylor expansion of J in J 17.527 * [backup-simplify]: Simplify 0 into 0 17.527 * [backup-simplify]: Simplify 1 into 1 17.528 * [backup-simplify]: Simplify (* 1 1) into 1 17.528 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 17.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 17.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.531 * [backup-simplify]: Simplify 0 into 0 17.531 * [taylor]: Taking taylor expansion of 0 in J 17.531 * [backup-simplify]: Simplify 0 into 0 17.531 * [backup-simplify]: Simplify 0 into 0 17.531 * [taylor]: Taking taylor expansion of 0 in J 17.531 * [backup-simplify]: Simplify 0 into 0 17.531 * [backup-simplify]: Simplify 0 into 0 17.531 * [backup-simplify]: Simplify 1 into 1 17.532 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 17.532 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U K J) around 0 17.532 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 17.532 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 17.532 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 17.532 * [taylor]: Taking taylor expansion of 1/6 in J 17.532 * [backup-simplify]: Simplify 1/6 into 1/6 17.532 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 17.532 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 17.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 17.532 * [taylor]: Taking taylor expansion of 1/4 in J 17.532 * [backup-simplify]: Simplify 1/4 into 1/4 17.532 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 17.532 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.532 * [taylor]: Taking taylor expansion of J in J 17.532 * [backup-simplify]: Simplify 0 into 0 17.532 * [backup-simplify]: Simplify 1 into 1 17.532 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 17.532 * [taylor]: Taking taylor expansion of (pow U 2) in J 17.532 * [taylor]: Taking taylor expansion of U in J 17.532 * [backup-simplify]: Simplify U into U 17.532 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.532 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.532 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.532 * [taylor]: Taking taylor expansion of 1/2 in J 17.532 * [backup-simplify]: Simplify 1/2 into 1/2 17.532 * [taylor]: Taking taylor expansion of K in J 17.532 * [backup-simplify]: Simplify K into K 17.532 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.532 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.532 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.536 * [backup-simplify]: Simplify (- 0) into 0 17.536 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.537 * [backup-simplify]: Simplify (* 1 1) into 1 17.537 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.537 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 17.537 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 17.537 * [taylor]: Taking taylor expansion of 1 in J 17.537 * [backup-simplify]: Simplify 1 into 1 17.538 * [backup-simplify]: Simplify (+ 0 1) into 1 17.538 * [backup-simplify]: Simplify (log 1) into 0 17.539 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.539 * [backup-simplify]: Simplify (+ 0 0) into 0 17.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.541 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.541 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 17.542 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 17.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 17.545 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 17.545 * [backup-simplify]: Simplify (exp 0) into 1 17.545 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 17.545 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 17.545 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 17.545 * [taylor]: Taking taylor expansion of 1/6 in K 17.545 * [backup-simplify]: Simplify 1/6 into 1/6 17.545 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 17.545 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 17.545 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 17.545 * [taylor]: Taking taylor expansion of 1/4 in K 17.545 * [backup-simplify]: Simplify 1/4 into 1/4 17.545 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 17.545 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.545 * [taylor]: Taking taylor expansion of J in K 17.545 * [backup-simplify]: Simplify J into J 17.545 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 17.545 * [taylor]: Taking taylor expansion of (pow U 2) in K 17.545 * [taylor]: Taking taylor expansion of U in K 17.545 * [backup-simplify]: Simplify U into U 17.545 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.545 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.545 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.545 * [taylor]: Taking taylor expansion of 1/2 in K 17.545 * [backup-simplify]: Simplify 1/2 into 1/2 17.546 * [taylor]: Taking taylor expansion of K in K 17.546 * [backup-simplify]: Simplify 0 into 0 17.546 * [backup-simplify]: Simplify 1 into 1 17.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.546 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.546 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.546 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.547 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 17.547 * [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))) 17.547 * [taylor]: Taking taylor expansion of 1 in K 17.547 * [backup-simplify]: Simplify 1 into 1 17.547 * [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)))) 17.548 * [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) 17.548 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 17.549 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 17.549 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 17.549 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 17.549 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 17.549 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 17.549 * [taylor]: Taking taylor expansion of 1/6 in U 17.550 * [backup-simplify]: Simplify 1/6 into 1/6 17.550 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 17.550 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 17.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 17.550 * [taylor]: Taking taylor expansion of 1/4 in U 17.550 * [backup-simplify]: Simplify 1/4 into 1/4 17.550 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 17.550 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.550 * [taylor]: Taking taylor expansion of J in U 17.550 * [backup-simplify]: Simplify J into J 17.550 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 17.550 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.550 * [taylor]: Taking taylor expansion of U in U 17.550 * [backup-simplify]: Simplify 0 into 0 17.550 * [backup-simplify]: Simplify 1 into 1 17.550 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 17.550 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 17.550 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 17.550 * [taylor]: Taking taylor expansion of 1/2 in U 17.550 * [backup-simplify]: Simplify 1/2 into 1/2 17.550 * [taylor]: Taking taylor expansion of K in U 17.550 * [backup-simplify]: Simplify K into K 17.550 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.550 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.550 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.550 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.551 * [backup-simplify]: Simplify (- 0) into 0 17.551 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.551 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.552 * [backup-simplify]: Simplify (* 1 1) into 1 17.552 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.552 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 17.552 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.552 * [taylor]: Taking taylor expansion of 1 in U 17.552 * [backup-simplify]: Simplify 1 into 1 17.552 * [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))) 17.553 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 17.553 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.554 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.554 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.555 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.555 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 17.555 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 17.555 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 17.555 * [taylor]: Taking taylor expansion of 1/6 in U 17.555 * [backup-simplify]: Simplify 1/6 into 1/6 17.555 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 17.555 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 17.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 17.555 * [taylor]: Taking taylor expansion of 1/4 in U 17.555 * [backup-simplify]: Simplify 1/4 into 1/4 17.555 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 17.555 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.555 * [taylor]: Taking taylor expansion of J in U 17.555 * [backup-simplify]: Simplify J into J 17.555 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 17.555 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.555 * [taylor]: Taking taylor expansion of U in U 17.555 * [backup-simplify]: Simplify 0 into 0 17.555 * [backup-simplify]: Simplify 1 into 1 17.555 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 17.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 17.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 17.555 * [taylor]: Taking taylor expansion of 1/2 in U 17.555 * [backup-simplify]: Simplify 1/2 into 1/2 17.555 * [taylor]: Taking taylor expansion of K in U 17.556 * [backup-simplify]: Simplify K into K 17.556 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.556 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.556 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.556 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.556 * [backup-simplify]: Simplify (- 0) into 0 17.556 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.557 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.557 * [backup-simplify]: Simplify (* 1 1) into 1 17.557 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.557 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 17.557 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.557 * [taylor]: Taking taylor expansion of 1 in U 17.558 * [backup-simplify]: Simplify 1 into 1 17.558 * [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))) 17.558 * [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))) 17.558 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.559 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.559 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.560 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.560 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 17.560 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 17.560 * [taylor]: Taking taylor expansion of 1/6 in K 17.560 * [backup-simplify]: Simplify 1/6 into 1/6 17.560 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 17.560 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 17.560 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 17.560 * [taylor]: Taking taylor expansion of 1/4 in K 17.560 * [backup-simplify]: Simplify 1/4 into 1/4 17.560 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 17.560 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.560 * [taylor]: Taking taylor expansion of J in K 17.560 * [backup-simplify]: Simplify J into J 17.560 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.560 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.560 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.560 * [taylor]: Taking taylor expansion of 1/2 in K 17.560 * [backup-simplify]: Simplify 1/2 into 1/2 17.560 * [taylor]: Taking taylor expansion of K in K 17.560 * [backup-simplify]: Simplify 0 into 0 17.561 * [backup-simplify]: Simplify 1 into 1 17.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.561 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.561 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.561 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.562 * [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))) 17.562 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.562 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.562 * [taylor]: Taking taylor expansion of 2 in K 17.562 * [backup-simplify]: Simplify 2 into 2 17.562 * [taylor]: Taking taylor expansion of (log U) in K 17.562 * [taylor]: Taking taylor expansion of U in K 17.562 * [backup-simplify]: Simplify U into U 17.562 * [backup-simplify]: Simplify (log U) into (log U) 17.562 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.562 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.562 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.562 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.563 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.563 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 17.563 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 17.563 * [taylor]: Taking taylor expansion of 1/6 in J 17.563 * [backup-simplify]: Simplify 1/6 into 1/6 17.563 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 17.563 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 17.563 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 17.563 * [taylor]: Taking taylor expansion of 1/4 in J 17.563 * [backup-simplify]: Simplify 1/4 into 1/4 17.563 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 17.563 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.563 * [taylor]: Taking taylor expansion of J in J 17.563 * [backup-simplify]: Simplify 0 into 0 17.563 * [backup-simplify]: Simplify 1 into 1 17.563 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.563 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.563 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.563 * [taylor]: Taking taylor expansion of 1/2 in J 17.563 * [backup-simplify]: Simplify 1/2 into 1/2 17.563 * [taylor]: Taking taylor expansion of K in J 17.563 * [backup-simplify]: Simplify K into K 17.563 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.563 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.563 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.563 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.563 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.563 * [backup-simplify]: Simplify (- 0) into 0 17.563 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.564 * [backup-simplify]: Simplify (* 1 1) into 1 17.564 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.564 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 17.564 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 17.564 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 17.564 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.564 * [taylor]: Taking taylor expansion of 2 in J 17.564 * [backup-simplify]: Simplify 2 into 2 17.564 * [taylor]: Taking taylor expansion of (log U) in J 17.564 * [taylor]: Taking taylor expansion of U in J 17.564 * [backup-simplify]: Simplify U into U 17.564 * [backup-simplify]: Simplify (log U) into (log U) 17.565 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 17.565 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.565 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.565 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.565 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.565 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.566 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.566 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.566 * [backup-simplify]: Simplify (+ 0) into 0 17.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.567 * [backup-simplify]: Simplify (- 0) into 0 17.568 * [backup-simplify]: Simplify (+ 0 0) into 0 17.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 17.569 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 17.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 17.569 * [backup-simplify]: Simplify (+ 0 0) into 0 17.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 17.571 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.571 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.572 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.572 * [taylor]: Taking taylor expansion of 0 in K 17.572 * [backup-simplify]: Simplify 0 into 0 17.572 * [taylor]: Taking taylor expansion of 0 in J 17.572 * [backup-simplify]: Simplify 0 into 0 17.572 * [backup-simplify]: Simplify 0 into 0 17.572 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.572 * [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 17.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 17.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 17.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.574 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.574 * [backup-simplify]: Simplify (- 0) into 0 17.575 * [backup-simplify]: Simplify (+ 0 0) into 0 17.575 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.576 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.576 * [taylor]: Taking taylor expansion of 0 in J 17.576 * [backup-simplify]: Simplify 0 into 0 17.576 * [backup-simplify]: Simplify 0 into 0 17.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.577 * [backup-simplify]: Simplify (+ 0) into 0 17.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.578 * [backup-simplify]: Simplify (- 0) into 0 17.578 * [backup-simplify]: Simplify (+ 0 0) into 0 17.579 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.579 * [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 17.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 17.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 17.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.581 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.581 * [backup-simplify]: Simplify (- 0) into 0 17.581 * [backup-simplify]: Simplify (+ 0 0) into 0 17.582 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.582 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.582 * [backup-simplify]: Simplify 0 into 0 17.583 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.583 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.585 * [backup-simplify]: Simplify (- 0) into 0 17.585 * [backup-simplify]: Simplify (+ 0 0) into 0 17.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 17.587 * [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 17.588 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 17.588 * [backup-simplify]: Simplify (+ 0 1) into 1 17.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 17.590 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.591 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 17.593 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 17.593 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K 17.593 * [taylor]: Taking taylor expansion of 2/3 in K 17.593 * [backup-simplify]: Simplify 2/3 into 2/3 17.593 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 17.593 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 17.593 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 17.593 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 17.593 * [taylor]: Taking taylor expansion of 1/6 in K 17.593 * [backup-simplify]: Simplify 1/6 into 1/6 17.593 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 17.593 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 17.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 17.593 * [taylor]: Taking taylor expansion of 1/4 in K 17.593 * [backup-simplify]: Simplify 1/4 into 1/4 17.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 17.593 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.593 * [taylor]: Taking taylor expansion of J in K 17.593 * [backup-simplify]: Simplify J into J 17.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.594 * [taylor]: Taking taylor expansion of 1/2 in K 17.594 * [backup-simplify]: Simplify 1/2 into 1/2 17.594 * [taylor]: Taking taylor expansion of K in K 17.594 * [backup-simplify]: Simplify 0 into 0 17.594 * [backup-simplify]: Simplify 1 into 1 17.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.594 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.595 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.595 * [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))) 17.595 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.595 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.595 * [taylor]: Taking taylor expansion of 2 in K 17.595 * [backup-simplify]: Simplify 2 into 2 17.595 * [taylor]: Taking taylor expansion of (log U) in K 17.596 * [taylor]: Taking taylor expansion of U in K 17.596 * [backup-simplify]: Simplify U into U 17.596 * [backup-simplify]: Simplify (log U) into (log U) 17.596 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.596 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.596 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.596 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.597 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.597 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.597 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.597 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.597 * [taylor]: Taking taylor expansion of 1/2 in K 17.597 * [backup-simplify]: Simplify 1/2 into 1/2 17.597 * [taylor]: Taking taylor expansion of K in K 17.597 * [backup-simplify]: Simplify 0 into 0 17.597 * [backup-simplify]: Simplify 1 into 1 17.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.598 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.598 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.598 * [taylor]: Taking taylor expansion of J in K 17.598 * [backup-simplify]: Simplify J into J 17.598 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.599 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 17.599 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.599 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 17.600 * [backup-simplify]: Simplify (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 17.600 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 17.600 * [taylor]: Taking taylor expansion of 2/3 in J 17.600 * [backup-simplify]: Simplify 2/3 into 2/3 17.600 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 17.600 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 17.600 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 17.600 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 17.600 * [taylor]: Taking taylor expansion of 1/6 in J 17.600 * [backup-simplify]: Simplify 1/6 into 1/6 17.600 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 17.600 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 17.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 17.600 * [taylor]: Taking taylor expansion of 1/4 in J 17.600 * [backup-simplify]: Simplify 1/4 into 1/4 17.600 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 17.600 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.600 * [taylor]: Taking taylor expansion of J in J 17.600 * [backup-simplify]: Simplify 0 into 0 17.600 * [backup-simplify]: Simplify 1 into 1 17.600 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.600 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.601 * [taylor]: Taking taylor expansion of 1/2 in J 17.601 * [backup-simplify]: Simplify 1/2 into 1/2 17.601 * [taylor]: Taking taylor expansion of K in J 17.601 * [backup-simplify]: Simplify K into K 17.601 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.601 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.601 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.601 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.602 * [backup-simplify]: Simplify (- 0) into 0 17.602 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.602 * [backup-simplify]: Simplify (* 1 1) into 1 17.602 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.602 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 17.603 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 17.603 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 17.603 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.603 * [taylor]: Taking taylor expansion of 2 in J 17.603 * [backup-simplify]: Simplify 2 into 2 17.603 * [taylor]: Taking taylor expansion of (log U) in J 17.603 * [taylor]: Taking taylor expansion of U in J 17.603 * [backup-simplify]: Simplify U into U 17.603 * [backup-simplify]: Simplify (log U) into (log U) 17.604 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 17.604 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.604 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.604 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.604 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.605 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.605 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.605 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.605 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.605 * [taylor]: Taking taylor expansion of 1/2 in J 17.605 * [backup-simplify]: Simplify 1/2 into 1/2 17.605 * [taylor]: Taking taylor expansion of K in J 17.605 * [backup-simplify]: Simplify K into K 17.605 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.605 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.605 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.605 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.605 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.606 * [backup-simplify]: Simplify (- 0) into 0 17.606 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.606 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.606 * [taylor]: Taking taylor expansion of J in J 17.606 * [backup-simplify]: Simplify 0 into 0 17.606 * [backup-simplify]: Simplify 1 into 1 17.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.606 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 17.606 * [backup-simplify]: Simplify (* 1 1) into 1 17.607 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 17.607 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.608 * [backup-simplify]: Simplify (+ 0) into 0 17.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.609 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.610 * [backup-simplify]: Simplify (- 0) into 0 17.610 * [backup-simplify]: Simplify (+ 0 0) into 0 17.610 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.611 * [backup-simplify]: Simplify (- 0) into 0 17.611 * [backup-simplify]: Simplify (+ 0 0) into 0 17.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.612 * [backup-simplify]: Simplify (+ 0) into 0 17.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.613 * [backup-simplify]: Simplify (- 0) into 0 17.614 * [backup-simplify]: Simplify (+ 0 0) into 0 17.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.614 * [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 17.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 17.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 17.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.616 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.616 * [backup-simplify]: Simplify (- 0) into 0 17.616 * [backup-simplify]: Simplify (+ 0 0) into 0 17.617 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.618 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.620 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.620 * [backup-simplify]: Simplify (- 0) into 0 17.621 * [backup-simplify]: Simplify (+ 0 0) into 0 17.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.621 * [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 17.622 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 17.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 17.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 17.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 17.625 * [backup-simplify]: Simplify (- 0) into 0 17.625 * [backup-simplify]: Simplify (+ 0 0) into 0 17.626 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 17.628 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.629 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 17.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.631 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 17.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 17.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.636 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 17.636 * [backup-simplify]: Simplify 0 into 0 17.636 * [taylor]: Taking taylor expansion of 0 in J 17.636 * [backup-simplify]: Simplify 0 into 0 17.636 * [backup-simplify]: Simplify 0 into 0 17.637 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.638 * [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 17.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 17.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 17.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 17.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 17.644 * [backup-simplify]: Simplify (- 0) into 0 17.645 * [backup-simplify]: Simplify (+ 0 0) into 0 17.646 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 17.648 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.648 * [taylor]: Taking taylor expansion of 0 in J 17.648 * [backup-simplify]: Simplify 0 into 0 17.648 * [backup-simplify]: Simplify 0 into 0 17.648 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 17.649 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 17.649 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U K J) around 0 17.649 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 17.649 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 17.649 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 17.649 * [taylor]: Taking taylor expansion of 1/6 in J 17.649 * [backup-simplify]: Simplify 1/6 into 1/6 17.649 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 17.649 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 17.649 * [taylor]: Taking taylor expansion of 1 in J 17.649 * [backup-simplify]: Simplify 1 into 1 17.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 17.649 * [taylor]: Taking taylor expansion of 1/4 in J 17.649 * [backup-simplify]: Simplify 1/4 into 1/4 17.649 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 17.649 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.649 * [taylor]: Taking taylor expansion of J in J 17.649 * [backup-simplify]: Simplify 0 into 0 17.649 * [backup-simplify]: Simplify 1 into 1 17.649 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 17.650 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.650 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.650 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.650 * [taylor]: Taking taylor expansion of -1/2 in J 17.650 * [backup-simplify]: Simplify -1/2 into -1/2 17.650 * [taylor]: Taking taylor expansion of K in J 17.650 * [backup-simplify]: Simplify K into K 17.650 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.650 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.650 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.650 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.651 * [backup-simplify]: Simplify (- 0) into 0 17.651 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.651 * [taylor]: Taking taylor expansion of (pow U 2) in J 17.651 * [taylor]: Taking taylor expansion of U in J 17.651 * [backup-simplify]: Simplify U into U 17.651 * [backup-simplify]: Simplify (* 1 1) into 1 17.651 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.651 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.652 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 17.652 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 17.652 * [backup-simplify]: Simplify (+ 1 0) into 1 17.653 * [backup-simplify]: Simplify (log 1) into 0 17.653 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.654 * [backup-simplify]: Simplify (+ 0 0) into 0 17.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.656 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.656 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 17.657 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 17.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 17.660 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 17.660 * [backup-simplify]: Simplify (exp 0) into 1 17.660 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 17.660 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 17.660 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 17.660 * [taylor]: Taking taylor expansion of 1/6 in K 17.660 * [backup-simplify]: Simplify 1/6 into 1/6 17.660 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 17.660 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 17.660 * [taylor]: Taking taylor expansion of 1 in K 17.660 * [backup-simplify]: Simplify 1 into 1 17.660 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 17.660 * [taylor]: Taking taylor expansion of 1/4 in K 17.660 * [backup-simplify]: Simplify 1/4 into 1/4 17.661 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 17.661 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.661 * [taylor]: Taking taylor expansion of J in K 17.661 * [backup-simplify]: Simplify J into J 17.661 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 17.661 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.661 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.661 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.661 * [taylor]: Taking taylor expansion of -1/2 in K 17.661 * [backup-simplify]: Simplify -1/2 into -1/2 17.661 * [taylor]: Taking taylor expansion of K in K 17.661 * [backup-simplify]: Simplify 0 into 0 17.661 * [backup-simplify]: Simplify 1 into 1 17.665 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.665 * [taylor]: Taking taylor expansion of (pow U 2) in K 17.665 * [taylor]: Taking taylor expansion of U in K 17.665 * [backup-simplify]: Simplify U into U 17.666 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.666 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.666 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 17.666 * [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))) 17.666 * [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)))) 17.667 * [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))))) 17.667 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 17.667 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 17.667 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 17.667 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 17.667 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 17.667 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 17.667 * [taylor]: Taking taylor expansion of 1/6 in U 17.667 * [backup-simplify]: Simplify 1/6 into 1/6 17.668 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 17.668 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 17.668 * [taylor]: Taking taylor expansion of 1 in U 17.668 * [backup-simplify]: Simplify 1 into 1 17.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 17.668 * [taylor]: Taking taylor expansion of 1/4 in U 17.668 * [backup-simplify]: Simplify 1/4 into 1/4 17.668 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 17.668 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.668 * [taylor]: Taking taylor expansion of J in U 17.668 * [backup-simplify]: Simplify J into J 17.668 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 17.668 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 17.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 17.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 17.668 * [taylor]: Taking taylor expansion of -1/2 in U 17.668 * [backup-simplify]: Simplify -1/2 into -1/2 17.668 * [taylor]: Taking taylor expansion of K in U 17.668 * [backup-simplify]: Simplify K into K 17.668 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.668 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.668 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.669 * [backup-simplify]: Simplify (- 0) into 0 17.669 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.669 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.669 * [taylor]: Taking taylor expansion of U in U 17.669 * [backup-simplify]: Simplify 0 into 0 17.669 * [backup-simplify]: Simplify 1 into 1 17.669 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.669 * [backup-simplify]: Simplify (* 1 1) into 1 17.669 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 17.669 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.670 * [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))) 17.670 * [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))) 17.670 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.670 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.671 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.671 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.671 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 17.671 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 17.671 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 17.671 * [taylor]: Taking taylor expansion of 1/6 in U 17.671 * [backup-simplify]: Simplify 1/6 into 1/6 17.671 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 17.671 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 17.671 * [taylor]: Taking taylor expansion of 1 in U 17.671 * [backup-simplify]: Simplify 1 into 1 17.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 17.671 * [taylor]: Taking taylor expansion of 1/4 in U 17.671 * [backup-simplify]: Simplify 1/4 into 1/4 17.671 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 17.671 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.671 * [taylor]: Taking taylor expansion of J in U 17.671 * [backup-simplify]: Simplify J into J 17.671 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 17.671 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 17.671 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 17.671 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 17.671 * [taylor]: Taking taylor expansion of -1/2 in U 17.671 * [backup-simplify]: Simplify -1/2 into -1/2 17.671 * [taylor]: Taking taylor expansion of K in U 17.671 * [backup-simplify]: Simplify K into K 17.671 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.671 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.671 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.672 * [backup-simplify]: Simplify (- 0) into 0 17.672 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.672 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.672 * [taylor]: Taking taylor expansion of U in U 17.672 * [backup-simplify]: Simplify 0 into 0 17.672 * [backup-simplify]: Simplify 1 into 1 17.672 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.672 * [backup-simplify]: Simplify (* 1 1) into 1 17.672 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 17.672 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.673 * [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))) 17.673 * [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))) 17.673 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.673 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.674 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.674 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.674 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 17.674 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 17.674 * [taylor]: Taking taylor expansion of 1/6 in K 17.674 * [backup-simplify]: Simplify 1/6 into 1/6 17.674 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 17.674 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 17.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 17.674 * [taylor]: Taking taylor expansion of 1/4 in K 17.674 * [backup-simplify]: Simplify 1/4 into 1/4 17.674 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 17.674 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.674 * [taylor]: Taking taylor expansion of J in K 17.674 * [backup-simplify]: Simplify J into J 17.674 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.674 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.674 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.674 * [taylor]: Taking taylor expansion of -1/2 in K 17.674 * [backup-simplify]: Simplify -1/2 into -1/2 17.674 * [taylor]: Taking taylor expansion of K in K 17.674 * [backup-simplify]: Simplify 0 into 0 17.674 * [backup-simplify]: Simplify 1 into 1 17.675 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.675 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.675 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.675 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.675 * [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))) 17.675 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.675 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.675 * [taylor]: Taking taylor expansion of 2 in K 17.675 * [backup-simplify]: Simplify 2 into 2 17.675 * [taylor]: Taking taylor expansion of (log U) in K 17.675 * [taylor]: Taking taylor expansion of U in K 17.675 * [backup-simplify]: Simplify U into U 17.675 * [backup-simplify]: Simplify (log U) into (log U) 17.675 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.675 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.676 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.676 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.676 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.676 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 17.676 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 17.676 * [taylor]: Taking taylor expansion of 1/6 in J 17.676 * [backup-simplify]: Simplify 1/6 into 1/6 17.676 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 17.676 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 17.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 17.676 * [taylor]: Taking taylor expansion of 1/4 in J 17.676 * [backup-simplify]: Simplify 1/4 into 1/4 17.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 17.676 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.676 * [taylor]: Taking taylor expansion of J in J 17.676 * [backup-simplify]: Simplify 0 into 0 17.676 * [backup-simplify]: Simplify 1 into 1 17.676 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.676 * [taylor]: Taking taylor expansion of -1/2 in J 17.676 * [backup-simplify]: Simplify -1/2 into -1/2 17.676 * [taylor]: Taking taylor expansion of K in J 17.676 * [backup-simplify]: Simplify K into K 17.677 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.677 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.677 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.677 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.677 * [backup-simplify]: Simplify (- 0) into 0 17.677 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.677 * [backup-simplify]: Simplify (* 1 1) into 1 17.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.678 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 17.678 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 17.678 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 17.678 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.678 * [taylor]: Taking taylor expansion of 2 in J 17.678 * [backup-simplify]: Simplify 2 into 2 17.678 * [taylor]: Taking taylor expansion of (log U) in J 17.678 * [taylor]: Taking taylor expansion of U in J 17.678 * [backup-simplify]: Simplify U into U 17.678 * [backup-simplify]: Simplify (log U) into (log U) 17.678 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 17.678 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.678 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.679 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.679 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.679 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.679 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.679 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.680 * [backup-simplify]: Simplify (+ 0) into 0 17.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 17.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 17.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 17.681 * [backup-simplify]: Simplify (- 0) into 0 17.682 * [backup-simplify]: Simplify (+ 0 0) into 0 17.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.682 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 17.682 * [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 17.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 17.683 * [backup-simplify]: Simplify (+ 0 0) into 0 17.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 17.684 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.685 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.685 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.685 * [taylor]: Taking taylor expansion of 0 in K 17.685 * [backup-simplify]: Simplify 0 into 0 17.685 * [taylor]: Taking taylor expansion of 0 in J 17.686 * [backup-simplify]: Simplify 0 into 0 17.686 * [backup-simplify]: Simplify 0 into 0 17.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.686 * [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 17.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 17.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 17.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.688 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.688 * [backup-simplify]: Simplify (- 0) into 0 17.688 * [backup-simplify]: Simplify (+ 0 0) into 0 17.689 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.690 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.690 * [taylor]: Taking taylor expansion of 0 in J 17.690 * [backup-simplify]: Simplify 0 into 0 17.690 * [backup-simplify]: Simplify 0 into 0 17.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.690 * [backup-simplify]: Simplify (+ 0) into 0 17.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 17.691 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 17.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 17.692 * [backup-simplify]: Simplify (- 0) into 0 17.692 * [backup-simplify]: Simplify (+ 0 0) into 0 17.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.692 * [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 17.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 17.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 17.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.694 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.694 * [backup-simplify]: Simplify (- 0) into 0 17.695 * [backup-simplify]: Simplify (+ 0 0) into 0 17.695 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.696 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.696 * [backup-simplify]: Simplify 0 into 0 17.696 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.699 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.699 * [backup-simplify]: Simplify (- 0) into 0 17.699 * [backup-simplify]: Simplify (+ 0 0) into 0 17.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 17.700 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 17.700 * [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 17.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 17.701 * [backup-simplify]: Simplify (+ 1 0) into 1 17.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 17.704 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.705 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 17.707 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 17.707 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in K 17.707 * [taylor]: Taking taylor expansion of 2/3 in K 17.707 * [backup-simplify]: Simplify 2/3 into 2/3 17.707 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 17.707 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 17.707 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.707 * [taylor]: Taking taylor expansion of -1/2 in K 17.707 * [backup-simplify]: Simplify -1/2 into -1/2 17.707 * [taylor]: Taking taylor expansion of K in K 17.707 * [backup-simplify]: Simplify 0 into 0 17.707 * [backup-simplify]: Simplify 1 into 1 17.708 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.708 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 17.708 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 17.708 * [taylor]: Taking taylor expansion of 1/6 in K 17.708 * [backup-simplify]: Simplify 1/6 into 1/6 17.708 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 17.708 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 17.708 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 17.708 * [taylor]: Taking taylor expansion of 1/4 in K 17.708 * [backup-simplify]: Simplify 1/4 into 1/4 17.708 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 17.708 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.708 * [taylor]: Taking taylor expansion of J in K 17.708 * [backup-simplify]: Simplify J into J 17.708 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.708 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.708 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.708 * [taylor]: Taking taylor expansion of -1/2 in K 17.708 * [backup-simplify]: Simplify -1/2 into -1/2 17.708 * [taylor]: Taking taylor expansion of K in K 17.708 * [backup-simplify]: Simplify 0 into 0 17.709 * [backup-simplify]: Simplify 1 into 1 17.709 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.709 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.709 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.709 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.710 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.710 * [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))) 17.710 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.710 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.710 * [taylor]: Taking taylor expansion of 2 in K 17.710 * [backup-simplify]: Simplify 2 into 2 17.710 * [taylor]: Taking taylor expansion of (log U) in K 17.710 * [taylor]: Taking taylor expansion of U in K 17.710 * [backup-simplify]: Simplify U into U 17.710 * [backup-simplify]: Simplify (log U) into (log U) 17.710 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.710 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.711 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.711 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.712 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.712 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.712 * [taylor]: Taking taylor expansion of J in K 17.712 * [backup-simplify]: Simplify J into J 17.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.712 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 17.712 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.713 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 17.714 * [backup-simplify]: Simplify (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 17.714 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 17.714 * [taylor]: Taking taylor expansion of 2/3 in J 17.714 * [backup-simplify]: Simplify 2/3 into 2/3 17.714 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 17.714 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 17.714 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.714 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.714 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.714 * [taylor]: Taking taylor expansion of -1/2 in J 17.714 * [backup-simplify]: Simplify -1/2 into -1/2 17.714 * [taylor]: Taking taylor expansion of K in J 17.714 * [backup-simplify]: Simplify K into K 17.714 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.714 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.715 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.715 * [backup-simplify]: Simplify (- 0) into 0 17.715 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.715 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 17.715 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 17.715 * [taylor]: Taking taylor expansion of 1/6 in J 17.716 * [backup-simplify]: Simplify 1/6 into 1/6 17.716 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 17.716 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 17.716 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 17.716 * [taylor]: Taking taylor expansion of 1/4 in J 17.716 * [backup-simplify]: Simplify 1/4 into 1/4 17.716 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 17.716 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.716 * [taylor]: Taking taylor expansion of J in J 17.716 * [backup-simplify]: Simplify 0 into 0 17.716 * [backup-simplify]: Simplify 1 into 1 17.716 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.716 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.716 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.716 * [taylor]: Taking taylor expansion of -1/2 in J 17.716 * [backup-simplify]: Simplify -1/2 into -1/2 17.716 * [taylor]: Taking taylor expansion of K in J 17.716 * [backup-simplify]: Simplify K into K 17.716 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.716 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.716 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.717 * [backup-simplify]: Simplify (- 0) into 0 17.717 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.717 * [backup-simplify]: Simplify (* 1 1) into 1 17.718 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.718 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 17.718 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 17.718 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 17.718 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.718 * [taylor]: Taking taylor expansion of 2 in J 17.718 * [backup-simplify]: Simplify 2 into 2 17.718 * [taylor]: Taking taylor expansion of (log U) in J 17.718 * [taylor]: Taking taylor expansion of U in J 17.718 * [backup-simplify]: Simplify U into U 17.718 * [backup-simplify]: Simplify (log U) into (log U) 17.719 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 17.719 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.719 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.719 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.720 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.720 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.720 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.720 * [taylor]: Taking taylor expansion of J in J 17.720 * [backup-simplify]: Simplify 0 into 0 17.720 * [backup-simplify]: Simplify 1 into 1 17.720 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.721 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 17.721 * [backup-simplify]: Simplify (* 1 1) into 1 17.722 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 17.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.723 * [backup-simplify]: Simplify (+ 0) into 0 17.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 17.724 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 17.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 17.726 * [backup-simplify]: Simplify (- 0) into 0 17.726 * [backup-simplify]: Simplify (+ 0 0) into 0 17.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.727 * [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 17.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 17.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 17.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.730 * [backup-simplify]: Simplify (- 0) into 0 17.730 * [backup-simplify]: Simplify (+ 0 0) into 0 17.731 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.733 * [backup-simplify]: Simplify (- 0) into 0 17.733 * [backup-simplify]: Simplify (+ 0 0) into 0 17.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 17.734 * [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 17.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 17.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 17.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 17.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 17.738 * [backup-simplify]: Simplify (- 0) into 0 17.738 * [backup-simplify]: Simplify (+ 0 0) into 0 17.739 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 17.740 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.740 * [backup-simplify]: Simplify (+ 0) into 0 17.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 17.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 17.741 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.741 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 17.741 * [backup-simplify]: Simplify (- 0) into 0 17.742 * [backup-simplify]: Simplify (+ 0 0) into 0 17.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.743 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.744 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.745 * [backup-simplify]: Simplify (- 0) into 0 17.745 * [backup-simplify]: Simplify (+ 0 0) into 0 17.746 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 17.746 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 17.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.747 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 17.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 17.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.750 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 17.750 * [backup-simplify]: Simplify 0 into 0 17.750 * [taylor]: Taking taylor expansion of 0 in J 17.750 * [backup-simplify]: Simplify 0 into 0 17.750 * [backup-simplify]: Simplify 0 into 0 17.751 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 17.751 * [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 17.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 17.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 17.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 17.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 17.755 * [backup-simplify]: Simplify (- 0) into 0 17.755 * [backup-simplify]: Simplify (+ 0 0) into 0 17.756 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 17.757 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.757 * [taylor]: Taking taylor expansion of 0 in J 17.757 * [backup-simplify]: Simplify 0 into 0 17.757 * [backup-simplify]: Simplify 0 into 0 17.758 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 17.758 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 17.758 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 17.758 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U K J) around 0 17.758 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 17.758 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 17.758 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 17.758 * [taylor]: Taking taylor expansion of 1/6 in J 17.758 * [backup-simplify]: Simplify 1/6 into 1/6 17.758 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 17.758 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 17.758 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 17.758 * [taylor]: Taking taylor expansion of 1/4 in J 17.758 * [backup-simplify]: Simplify 1/4 into 1/4 17.758 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 17.758 * [taylor]: Taking taylor expansion of (pow U 2) in J 17.758 * [taylor]: Taking taylor expansion of U in J 17.758 * [backup-simplify]: Simplify U into U 17.758 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 17.758 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 17.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 17.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 17.758 * [taylor]: Taking taylor expansion of 1/2 in J 17.758 * [backup-simplify]: Simplify 1/2 into 1/2 17.758 * [taylor]: Taking taylor expansion of K in J 17.758 * [backup-simplify]: Simplify K into K 17.758 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 17.758 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 17.758 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 17.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 17.758 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 17.759 * [backup-simplify]: Simplify (- 0) into 0 17.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 17.759 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.759 * [taylor]: Taking taylor expansion of J in J 17.759 * [backup-simplify]: Simplify 0 into 0 17.759 * [backup-simplify]: Simplify 1 into 1 17.759 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 17.759 * [backup-simplify]: Simplify (* 1 1) into 1 17.759 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 17.760 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 17.760 * [taylor]: Taking taylor expansion of 1 in J 17.760 * [backup-simplify]: Simplify 1 into 1 17.760 * [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))) 17.760 * [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))) 17.760 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 17.761 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 17.761 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 17.761 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 17.761 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 17.761 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 17.761 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 17.761 * [taylor]: Taking taylor expansion of 1/6 in K 17.761 * [backup-simplify]: Simplify 1/6 into 1/6 17.761 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 17.761 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 17.761 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 17.761 * [taylor]: Taking taylor expansion of 1/4 in K 17.761 * [backup-simplify]: Simplify 1/4 into 1/4 17.761 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 17.761 * [taylor]: Taking taylor expansion of (pow U 2) in K 17.761 * [taylor]: Taking taylor expansion of U in K 17.761 * [backup-simplify]: Simplify U into U 17.761 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 17.761 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 17.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 17.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 17.761 * [taylor]: Taking taylor expansion of 1/2 in K 17.761 * [backup-simplify]: Simplify 1/2 into 1/2 17.761 * [taylor]: Taking taylor expansion of K in K 17.761 * [backup-simplify]: Simplify 0 into 0 17.761 * [backup-simplify]: Simplify 1 into 1 17.762 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.762 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 17.762 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.762 * [taylor]: Taking taylor expansion of J in K 17.762 * [backup-simplify]: Simplify J into J 17.762 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.763 * [backup-simplify]: Simplify (* 1 1) into 1 17.763 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.763 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 17.763 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 17.763 * [taylor]: Taking taylor expansion of 1 in K 17.763 * [backup-simplify]: Simplify 1 into 1 17.763 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 17.763 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 17.763 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 17.763 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 17.764 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 17.764 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 17.764 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 17.764 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 17.764 * [taylor]: Taking taylor expansion of 1/6 in U 17.764 * [backup-simplify]: Simplify 1/6 into 1/6 17.764 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 17.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 17.764 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 17.764 * [taylor]: Taking taylor expansion of 1/4 in U 17.764 * [backup-simplify]: Simplify 1/4 into 1/4 17.764 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 17.764 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.764 * [taylor]: Taking taylor expansion of U in U 17.764 * [backup-simplify]: Simplify 0 into 0 17.764 * [backup-simplify]: Simplify 1 into 1 17.764 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 17.764 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 17.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 17.764 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 17.764 * [taylor]: Taking taylor expansion of 1/2 in U 17.764 * [backup-simplify]: Simplify 1/2 into 1/2 17.764 * [taylor]: Taking taylor expansion of K in U 17.764 * [backup-simplify]: Simplify K into K 17.764 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 17.764 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 17.764 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 17.764 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 17.764 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 17.765 * [backup-simplify]: Simplify (- 0) into 0 17.765 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 17.765 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.765 * [taylor]: Taking taylor expansion of J in U 17.765 * [backup-simplify]: Simplify J into J 17.765 * [backup-simplify]: Simplify (* 1 1) into 1 17.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 17.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.765 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 17.765 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.766 * [taylor]: Taking taylor expansion of 1 in U 17.766 * [backup-simplify]: Simplify 1 into 1 17.766 * [backup-simplify]: Simplify (+ 0 1) into 1 17.766 * [backup-simplify]: Simplify (log 1) into 0 17.767 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.767 * [backup-simplify]: Simplify (+ 0 0) into 0 17.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.769 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.770 * [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))) 17.770 * [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)))) 17.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.773 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 17.773 * [backup-simplify]: Simplify (exp 0) into 1 17.773 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 17.773 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 17.773 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 17.773 * [taylor]: Taking taylor expansion of 1/6 in U 17.773 * [backup-simplify]: Simplify 1/6 into 1/6 17.773 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 17.773 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 17.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 17.773 * [taylor]: Taking taylor expansion of 1/4 in U 17.773 * [backup-simplify]: Simplify 1/4 into 1/4 17.773 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 17.773 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.773 * [taylor]: Taking taylor expansion of U in U 17.773 * [backup-simplify]: Simplify 0 into 0 17.773 * [backup-simplify]: Simplify 1 into 1 17.773 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 17.773 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 17.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 17.773 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 17.774 * [taylor]: Taking taylor expansion of 1/2 in U 17.774 * [backup-simplify]: Simplify 1/2 into 1/2 17.774 * [taylor]: Taking taylor expansion of K in U 17.774 * [backup-simplify]: Simplify K into K 17.774 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 17.774 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 17.774 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 17.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 17.774 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 17.774 * [backup-simplify]: Simplify (- 0) into 0 17.774 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 17.775 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.775 * [taylor]: Taking taylor expansion of J in U 17.775 * [backup-simplify]: Simplify J into J 17.775 * [backup-simplify]: Simplify (* 1 1) into 1 17.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 17.775 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.775 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 17.776 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.776 * [taylor]: Taking taylor expansion of 1 in U 17.776 * [backup-simplify]: Simplify 1 into 1 17.780 * [backup-simplify]: Simplify (+ 0 1) into 1 17.781 * [backup-simplify]: Simplify (log 1) into 0 17.781 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.782 * [backup-simplify]: Simplify (+ 0 0) into 0 17.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.784 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.784 * [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))) 17.785 * [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)))) 17.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.788 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 17.788 * [backup-simplify]: Simplify (exp 0) into 1 17.788 * [taylor]: Taking taylor expansion of 1 in K 17.788 * [backup-simplify]: Simplify 1 into 1 17.788 * [taylor]: Taking taylor expansion of 1 in J 17.788 * [backup-simplify]: Simplify 1 into 1 17.788 * [backup-simplify]: Simplify 1 into 1 17.789 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 17.789 * [taylor]: Taking taylor expansion of 0 in K 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [taylor]: Taking taylor expansion of 0 in J 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [taylor]: Taking taylor expansion of 0 in J 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [backup-simplify]: Simplify 0 into 0 17.791 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 17.791 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 17.791 * [taylor]: Taking taylor expansion of 1/24 in K 17.791 * [backup-simplify]: Simplify 1/24 into 1/24 17.791 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 17.791 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 17.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 17.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 17.791 * [taylor]: Taking taylor expansion of 1/2 in K 17.791 * [backup-simplify]: Simplify 1/2 into 1/2 17.791 * [taylor]: Taking taylor expansion of K in K 17.791 * [backup-simplify]: Simplify 0 into 0 17.791 * [backup-simplify]: Simplify 1 into 1 17.791 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.792 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 17.792 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.792 * [taylor]: Taking taylor expansion of J in K 17.792 * [backup-simplify]: Simplify J into J 17.793 * [backup-simplify]: Simplify (* 1 1) into 1 17.793 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.793 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 17.793 * [backup-simplify]: Simplify (/ 1/24 (pow J 2)) into (/ 1/24 (pow J 2)) 17.793 * [taylor]: Taking taylor expansion of (/ 1/24 (pow J 2)) in J 17.793 * [taylor]: Taking taylor expansion of 1/24 in J 17.793 * [backup-simplify]: Simplify 1/24 into 1/24 17.793 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.793 * [taylor]: Taking taylor expansion of J in J 17.793 * [backup-simplify]: Simplify 0 into 0 17.793 * [backup-simplify]: Simplify 1 into 1 17.794 * [backup-simplify]: Simplify (* 1 1) into 1 17.794 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 17.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 17.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.796 * [backup-simplify]: Simplify 0 into 0 17.796 * [taylor]: Taking taylor expansion of 0 in J 17.796 * [backup-simplify]: Simplify 0 into 0 17.796 * [backup-simplify]: Simplify 0 into 0 17.796 * [taylor]: Taking taylor expansion of 0 in J 17.796 * [backup-simplify]: Simplify 0 into 0 17.796 * [backup-simplify]: Simplify 0 into 0 17.796 * [backup-simplify]: Simplify 1 into 1 17.797 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 17.797 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U K J) around 0 17.797 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 17.797 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 17.797 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 17.797 * [taylor]: Taking taylor expansion of 1/6 in J 17.797 * [backup-simplify]: Simplify 1/6 into 1/6 17.797 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 17.797 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 17.797 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 17.797 * [taylor]: Taking taylor expansion of 1/4 in J 17.797 * [backup-simplify]: Simplify 1/4 into 1/4 17.797 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 17.797 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.797 * [taylor]: Taking taylor expansion of J in J 17.797 * [backup-simplify]: Simplify 0 into 0 17.797 * [backup-simplify]: Simplify 1 into 1 17.797 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 17.797 * [taylor]: Taking taylor expansion of (pow U 2) in J 17.797 * [taylor]: Taking taylor expansion of U in J 17.797 * [backup-simplify]: Simplify U into U 17.797 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.797 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.797 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.797 * [taylor]: Taking taylor expansion of 1/2 in J 17.797 * [backup-simplify]: Simplify 1/2 into 1/2 17.797 * [taylor]: Taking taylor expansion of K in J 17.797 * [backup-simplify]: Simplify K into K 17.797 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.797 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.797 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.797 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.797 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.798 * [backup-simplify]: Simplify (- 0) into 0 17.798 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.798 * [backup-simplify]: Simplify (* 1 1) into 1 17.798 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.798 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.798 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 17.798 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 17.798 * [taylor]: Taking taylor expansion of 1 in J 17.798 * [backup-simplify]: Simplify 1 into 1 17.799 * [backup-simplify]: Simplify (+ 0 1) into 1 17.799 * [backup-simplify]: Simplify (log 1) into 0 17.799 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.799 * [backup-simplify]: Simplify (+ 0 0) into 0 17.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.801 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.801 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 17.801 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 17.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 17.803 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 17.803 * [backup-simplify]: Simplify (exp 0) into 1 17.803 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 17.803 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 17.803 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 17.803 * [taylor]: Taking taylor expansion of 1/6 in K 17.803 * [backup-simplify]: Simplify 1/6 into 1/6 17.803 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 17.803 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 17.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 17.803 * [taylor]: Taking taylor expansion of 1/4 in K 17.803 * [backup-simplify]: Simplify 1/4 into 1/4 17.803 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 17.803 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.803 * [taylor]: Taking taylor expansion of J in K 17.803 * [backup-simplify]: Simplify J into J 17.803 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 17.803 * [taylor]: Taking taylor expansion of (pow U 2) in K 17.803 * [taylor]: Taking taylor expansion of U in K 17.803 * [backup-simplify]: Simplify U into U 17.803 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.803 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.803 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.803 * [taylor]: Taking taylor expansion of 1/2 in K 17.803 * [backup-simplify]: Simplify 1/2 into 1/2 17.803 * [taylor]: Taking taylor expansion of K in K 17.803 * [backup-simplify]: Simplify 0 into 0 17.803 * [backup-simplify]: Simplify 1 into 1 17.804 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.804 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.804 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.804 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.804 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 17.804 * [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))) 17.804 * [taylor]: Taking taylor expansion of 1 in K 17.804 * [backup-simplify]: Simplify 1 into 1 17.804 * [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)))) 17.805 * [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) 17.805 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 17.805 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 17.806 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 17.806 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 17.806 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 17.806 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 17.806 * [taylor]: Taking taylor expansion of 1/6 in U 17.806 * [backup-simplify]: Simplify 1/6 into 1/6 17.806 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 17.806 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 17.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 17.806 * [taylor]: Taking taylor expansion of 1/4 in U 17.806 * [backup-simplify]: Simplify 1/4 into 1/4 17.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 17.806 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.806 * [taylor]: Taking taylor expansion of J in U 17.806 * [backup-simplify]: Simplify J into J 17.806 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 17.806 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.806 * [taylor]: Taking taylor expansion of U in U 17.806 * [backup-simplify]: Simplify 0 into 0 17.806 * [backup-simplify]: Simplify 1 into 1 17.806 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 17.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 17.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 17.806 * [taylor]: Taking taylor expansion of 1/2 in U 17.806 * [backup-simplify]: Simplify 1/2 into 1/2 17.806 * [taylor]: Taking taylor expansion of K in U 17.806 * [backup-simplify]: Simplify K into K 17.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.806 * [backup-simplify]: Simplify (- 0) into 0 17.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.807 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.807 * [backup-simplify]: Simplify (* 1 1) into 1 17.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.807 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 17.807 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.807 * [taylor]: Taking taylor expansion of 1 in U 17.807 * [backup-simplify]: Simplify 1 into 1 17.807 * [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))) 17.808 * [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))) 17.808 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.808 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.808 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.809 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.809 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 17.809 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 17.809 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 17.809 * [taylor]: Taking taylor expansion of 1/6 in U 17.809 * [backup-simplify]: Simplify 1/6 into 1/6 17.809 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 17.809 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 17.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 17.809 * [taylor]: Taking taylor expansion of 1/4 in U 17.809 * [backup-simplify]: Simplify 1/4 into 1/4 17.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 17.809 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.809 * [taylor]: Taking taylor expansion of J in U 17.809 * [backup-simplify]: Simplify J into J 17.809 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 17.809 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.809 * [taylor]: Taking taylor expansion of U in U 17.809 * [backup-simplify]: Simplify 0 into 0 17.809 * [backup-simplify]: Simplify 1 into 1 17.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 17.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 17.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 17.809 * [taylor]: Taking taylor expansion of 1/2 in U 17.809 * [backup-simplify]: Simplify 1/2 into 1/2 17.809 * [taylor]: Taking taylor expansion of K in U 17.809 * [backup-simplify]: Simplify K into K 17.809 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.809 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.809 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.809 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.810 * [backup-simplify]: Simplify (- 0) into 0 17.810 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.810 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.810 * [backup-simplify]: Simplify (* 1 1) into 1 17.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.810 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 17.810 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.810 * [taylor]: Taking taylor expansion of 1 in U 17.810 * [backup-simplify]: Simplify 1 into 1 17.810 * [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))) 17.811 * [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))) 17.811 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.811 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.811 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.812 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.812 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 17.812 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 17.812 * [taylor]: Taking taylor expansion of 1/6 in K 17.812 * [backup-simplify]: Simplify 1/6 into 1/6 17.812 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 17.812 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 17.812 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 17.812 * [taylor]: Taking taylor expansion of 1/4 in K 17.812 * [backup-simplify]: Simplify 1/4 into 1/4 17.812 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 17.812 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.812 * [taylor]: Taking taylor expansion of J in K 17.812 * [backup-simplify]: Simplify J into J 17.812 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.812 * [taylor]: Taking taylor expansion of 1/2 in K 17.812 * [backup-simplify]: Simplify 1/2 into 1/2 17.812 * [taylor]: Taking taylor expansion of K in K 17.812 * [backup-simplify]: Simplify 0 into 0 17.812 * [backup-simplify]: Simplify 1 into 1 17.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.812 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.813 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.813 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.813 * [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))) 17.813 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.813 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.813 * [taylor]: Taking taylor expansion of 2 in K 17.813 * [backup-simplify]: Simplify 2 into 2 17.813 * [taylor]: Taking taylor expansion of (log U) in K 17.813 * [taylor]: Taking taylor expansion of U in K 17.813 * [backup-simplify]: Simplify U into U 17.813 * [backup-simplify]: Simplify (log U) into (log U) 17.813 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.813 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.813 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.814 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.814 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.814 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 17.814 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 17.814 * [taylor]: Taking taylor expansion of 1/6 in J 17.814 * [backup-simplify]: Simplify 1/6 into 1/6 17.814 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 17.814 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 17.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 17.814 * [taylor]: Taking taylor expansion of 1/4 in J 17.814 * [backup-simplify]: Simplify 1/4 into 1/4 17.814 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 17.814 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.814 * [taylor]: Taking taylor expansion of J in J 17.814 * [backup-simplify]: Simplify 0 into 0 17.814 * [backup-simplify]: Simplify 1 into 1 17.814 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.814 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.814 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.814 * [taylor]: Taking taylor expansion of 1/2 in J 17.814 * [backup-simplify]: Simplify 1/2 into 1/2 17.814 * [taylor]: Taking taylor expansion of K in J 17.814 * [backup-simplify]: Simplify K into K 17.814 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.814 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.814 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.814 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.815 * [backup-simplify]: Simplify (- 0) into 0 17.815 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.815 * [backup-simplify]: Simplify (* 1 1) into 1 17.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.815 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 17.815 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 17.815 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 17.815 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.815 * [taylor]: Taking taylor expansion of 2 in J 17.815 * [backup-simplify]: Simplify 2 into 2 17.815 * [taylor]: Taking taylor expansion of (log U) in J 17.816 * [taylor]: Taking taylor expansion of U in J 17.816 * [backup-simplify]: Simplify U into U 17.816 * [backup-simplify]: Simplify (log U) into (log U) 17.816 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 17.816 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.816 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.816 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.816 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.817 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.817 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.817 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.817 * [backup-simplify]: Simplify (+ 0) into 0 17.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.819 * [backup-simplify]: Simplify (- 0) into 0 17.819 * [backup-simplify]: Simplify (+ 0 0) into 0 17.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 17.820 * [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 17.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 17.821 * [backup-simplify]: Simplify (+ 0 0) into 0 17.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 17.822 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.823 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.823 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.823 * [taylor]: Taking taylor expansion of 0 in K 17.823 * [backup-simplify]: Simplify 0 into 0 17.823 * [taylor]: Taking taylor expansion of 0 in J 17.823 * [backup-simplify]: Simplify 0 into 0 17.823 * [backup-simplify]: Simplify 0 into 0 17.823 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.824 * [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 17.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 17.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 17.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.826 * [backup-simplify]: Simplify (- 0) into 0 17.827 * [backup-simplify]: Simplify (+ 0 0) into 0 17.828 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.829 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.829 * [taylor]: Taking taylor expansion of 0 in J 17.829 * [backup-simplify]: Simplify 0 into 0 17.829 * [backup-simplify]: Simplify 0 into 0 17.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.830 * [backup-simplify]: Simplify (+ 0) into 0 17.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.832 * [backup-simplify]: Simplify (- 0) into 0 17.833 * [backup-simplify]: Simplify (+ 0 0) into 0 17.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.834 * [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 17.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 17.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 17.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.837 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.837 * [backup-simplify]: Simplify (- 0) into 0 17.838 * [backup-simplify]: Simplify (+ 0 0) into 0 17.838 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.840 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.840 * [backup-simplify]: Simplify 0 into 0 17.840 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.844 * [backup-simplify]: Simplify (- 0) into 0 17.844 * [backup-simplify]: Simplify (+ 0 0) into 0 17.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 17.847 * [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 17.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 17.849 * [backup-simplify]: Simplify (+ 0 1) into 1 17.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 17.852 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.853 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 17.854 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 17.854 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K 17.854 * [taylor]: Taking taylor expansion of 2/3 in K 17.854 * [backup-simplify]: Simplify 2/3 into 2/3 17.854 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 17.854 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 17.854 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 17.855 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 17.855 * [taylor]: Taking taylor expansion of 1/6 in K 17.855 * [backup-simplify]: Simplify 1/6 into 1/6 17.855 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 17.855 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 17.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 17.855 * [taylor]: Taking taylor expansion of 1/4 in K 17.855 * [backup-simplify]: Simplify 1/4 into 1/4 17.855 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 17.855 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.855 * [taylor]: Taking taylor expansion of J in K 17.855 * [backup-simplify]: Simplify J into J 17.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.855 * [taylor]: Taking taylor expansion of 1/2 in K 17.855 * [backup-simplify]: Simplify 1/2 into 1/2 17.855 * [taylor]: Taking taylor expansion of K in K 17.855 * [backup-simplify]: Simplify 0 into 0 17.855 * [backup-simplify]: Simplify 1 into 1 17.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.856 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.856 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 17.856 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 17.857 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 17.857 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.857 * [taylor]: Taking taylor expansion of 2 in K 17.857 * [backup-simplify]: Simplify 2 into 2 17.857 * [taylor]: Taking taylor expansion of (log U) in K 17.857 * [taylor]: Taking taylor expansion of U in K 17.857 * [backup-simplify]: Simplify U into U 17.857 * [backup-simplify]: Simplify (log U) into (log U) 17.857 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.857 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.857 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.858 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.858 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.858 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 17.858 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 17.858 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 17.858 * [taylor]: Taking taylor expansion of 1/2 in K 17.858 * [backup-simplify]: Simplify 1/2 into 1/2 17.858 * [taylor]: Taking taylor expansion of K in K 17.858 * [backup-simplify]: Simplify 0 into 0 17.858 * [backup-simplify]: Simplify 1 into 1 17.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 17.859 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.859 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.859 * [taylor]: Taking taylor expansion of J in K 17.859 * [backup-simplify]: Simplify J into J 17.859 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.860 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 17.860 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.860 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 17.861 * [backup-simplify]: Simplify (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 17.861 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 17.861 * [taylor]: Taking taylor expansion of 2/3 in J 17.861 * [backup-simplify]: Simplify 2/3 into 2/3 17.861 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 17.861 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 17.861 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 17.861 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 17.861 * [taylor]: Taking taylor expansion of 1/6 in J 17.861 * [backup-simplify]: Simplify 1/6 into 1/6 17.861 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 17.862 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 17.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 17.862 * [taylor]: Taking taylor expansion of 1/4 in J 17.862 * [backup-simplify]: Simplify 1/4 into 1/4 17.862 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 17.862 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.862 * [taylor]: Taking taylor expansion of J in J 17.862 * [backup-simplify]: Simplify 0 into 0 17.862 * [backup-simplify]: Simplify 1 into 1 17.862 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.862 * [taylor]: Taking taylor expansion of 1/2 in J 17.862 * [backup-simplify]: Simplify 1/2 into 1/2 17.862 * [taylor]: Taking taylor expansion of K in J 17.862 * [backup-simplify]: Simplify K into K 17.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.862 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.862 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.863 * [backup-simplify]: Simplify (- 0) into 0 17.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.863 * [backup-simplify]: Simplify (* 1 1) into 1 17.864 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.864 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 17.864 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 17.864 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 17.864 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.864 * [taylor]: Taking taylor expansion of 2 in J 17.864 * [backup-simplify]: Simplify 2 into 2 17.864 * [taylor]: Taking taylor expansion of (log U) in J 17.864 * [taylor]: Taking taylor expansion of U in J 17.864 * [backup-simplify]: Simplify U into U 17.864 * [backup-simplify]: Simplify (log U) into (log U) 17.865 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 17.865 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.865 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.866 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 17.866 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 17.866 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 17.866 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 17.866 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 17.866 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 17.866 * [taylor]: Taking taylor expansion of 1/2 in J 17.867 * [backup-simplify]: Simplify 1/2 into 1/2 17.867 * [taylor]: Taking taylor expansion of K in J 17.867 * [backup-simplify]: Simplify K into K 17.867 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 17.867 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 17.867 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 17.867 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 17.867 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 17.868 * [backup-simplify]: Simplify (- 0) into 0 17.868 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 17.868 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.868 * [taylor]: Taking taylor expansion of J in J 17.868 * [backup-simplify]: Simplify 0 into 0 17.868 * [backup-simplify]: Simplify 1 into 1 17.868 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 17.868 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 17.869 * [backup-simplify]: Simplify (* 1 1) into 1 17.869 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 17.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.871 * [backup-simplify]: Simplify (+ 0) into 0 17.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.874 * [backup-simplify]: Simplify (- 0) into 0 17.875 * [backup-simplify]: Simplify (+ 0 0) into 0 17.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.876 * [backup-simplify]: Simplify (- 0) into 0 17.877 * [backup-simplify]: Simplify (+ 0 0) into 0 17.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.878 * [backup-simplify]: Simplify (+ 0) into 0 17.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 17.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 17.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 17.880 * [backup-simplify]: Simplify (- 0) into 0 17.881 * [backup-simplify]: Simplify (+ 0 0) into 0 17.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.881 * [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 17.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 17.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 17.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.884 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.885 * [backup-simplify]: Simplify (- 0) into 0 17.885 * [backup-simplify]: Simplify (+ 0 0) into 0 17.886 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 17.887 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 17.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.892 * [backup-simplify]: Simplify (- 0) into 0 17.892 * [backup-simplify]: Simplify (+ 0 0) into 0 17.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.893 * [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 17.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 17.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 17.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 17.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 17.899 * [backup-simplify]: Simplify (- 0) into 0 17.899 * [backup-simplify]: Simplify (+ 0 0) into 0 17.900 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 17.902 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.903 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 17.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.904 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 17.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 17.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.909 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 17.910 * [backup-simplify]: Simplify 0 into 0 17.910 * [taylor]: Taking taylor expansion of 0 in J 17.910 * [backup-simplify]: Simplify 0 into 0 17.910 * [backup-simplify]: Simplify 0 into 0 17.910 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.910 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 17.911 * [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 17.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 17.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 17.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 17.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 17.919 * [backup-simplify]: Simplify (- 0) into 0 17.919 * [backup-simplify]: Simplify (+ 0 0) into 0 17.920 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 17.921 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.921 * [taylor]: Taking taylor expansion of 0 in J 17.921 * [backup-simplify]: Simplify 0 into 0 17.921 * [backup-simplify]: Simplify 0 into 0 17.921 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 17.921 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 17.921 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U K J) around 0 17.921 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 17.921 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 17.921 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 17.921 * [taylor]: Taking taylor expansion of 1/6 in J 17.922 * [backup-simplify]: Simplify 1/6 into 1/6 17.922 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 17.922 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 17.922 * [taylor]: Taking taylor expansion of 1 in J 17.922 * [backup-simplify]: Simplify 1 into 1 17.922 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 17.922 * [taylor]: Taking taylor expansion of 1/4 in J 17.922 * [backup-simplify]: Simplify 1/4 into 1/4 17.922 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 17.922 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.922 * [taylor]: Taking taylor expansion of J in J 17.922 * [backup-simplify]: Simplify 0 into 0 17.922 * [backup-simplify]: Simplify 1 into 1 17.922 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 17.922 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.922 * [taylor]: Taking taylor expansion of -1/2 in J 17.922 * [backup-simplify]: Simplify -1/2 into -1/2 17.922 * [taylor]: Taking taylor expansion of K in J 17.922 * [backup-simplify]: Simplify K into K 17.922 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.922 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.922 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.922 * [backup-simplify]: Simplify (- 0) into 0 17.922 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.922 * [taylor]: Taking taylor expansion of (pow U 2) in J 17.922 * [taylor]: Taking taylor expansion of U in J 17.922 * [backup-simplify]: Simplify U into U 17.923 * [backup-simplify]: Simplify (* 1 1) into 1 17.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.923 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.923 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 17.923 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 17.923 * [backup-simplify]: Simplify (+ 1 0) into 1 17.924 * [backup-simplify]: Simplify (log 1) into 0 17.924 * [backup-simplify]: Simplify (* 1/6 0) into 0 17.924 * [backup-simplify]: Simplify (+ 0 0) into 0 17.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.925 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 17.926 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 17.926 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 17.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 17.927 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 17.928 * [backup-simplify]: Simplify (exp 0) into 1 17.928 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 17.928 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 17.928 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 17.928 * [taylor]: Taking taylor expansion of 1/6 in K 17.928 * [backup-simplify]: Simplify 1/6 into 1/6 17.928 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 17.928 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 17.928 * [taylor]: Taking taylor expansion of 1 in K 17.928 * [backup-simplify]: Simplify 1 into 1 17.928 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 17.928 * [taylor]: Taking taylor expansion of 1/4 in K 17.928 * [backup-simplify]: Simplify 1/4 into 1/4 17.928 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 17.928 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.928 * [taylor]: Taking taylor expansion of J in K 17.928 * [backup-simplify]: Simplify J into J 17.928 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 17.928 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.928 * [taylor]: Taking taylor expansion of -1/2 in K 17.928 * [backup-simplify]: Simplify -1/2 into -1/2 17.928 * [taylor]: Taking taylor expansion of K in K 17.928 * [backup-simplify]: Simplify 0 into 0 17.928 * [backup-simplify]: Simplify 1 into 1 17.928 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.928 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.928 * [taylor]: Taking taylor expansion of (pow U 2) in K 17.928 * [taylor]: Taking taylor expansion of U in K 17.928 * [backup-simplify]: Simplify U into U 17.928 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.928 * [backup-simplify]: Simplify (* U U) into (pow U 2) 17.929 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 17.929 * [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))) 17.929 * [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)))) 17.929 * [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))))) 17.930 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 17.930 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 17.930 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 17.930 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 17.930 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 17.930 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 17.930 * [taylor]: Taking taylor expansion of 1/6 in U 17.930 * [backup-simplify]: Simplify 1/6 into 1/6 17.930 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 17.930 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 17.930 * [taylor]: Taking taylor expansion of 1 in U 17.930 * [backup-simplify]: Simplify 1 into 1 17.930 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 17.930 * [taylor]: Taking taylor expansion of 1/4 in U 17.930 * [backup-simplify]: Simplify 1/4 into 1/4 17.930 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 17.930 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.930 * [taylor]: Taking taylor expansion of J in U 17.930 * [backup-simplify]: Simplify J into J 17.930 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 17.930 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 17.930 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 17.930 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 17.930 * [taylor]: Taking taylor expansion of -1/2 in U 17.930 * [backup-simplify]: Simplify -1/2 into -1/2 17.930 * [taylor]: Taking taylor expansion of K in U 17.930 * [backup-simplify]: Simplify K into K 17.931 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.931 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.931 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.931 * [backup-simplify]: Simplify (- 0) into 0 17.931 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.931 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.931 * [taylor]: Taking taylor expansion of U in U 17.931 * [backup-simplify]: Simplify 0 into 0 17.931 * [backup-simplify]: Simplify 1 into 1 17.931 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.932 * [backup-simplify]: Simplify (* 1 1) into 1 17.932 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 17.932 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.932 * [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))) 17.932 * [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))) 17.932 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.933 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.933 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.933 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.933 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 17.933 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 17.933 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 17.933 * [taylor]: Taking taylor expansion of 1/6 in U 17.933 * [backup-simplify]: Simplify 1/6 into 1/6 17.933 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 17.933 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 17.933 * [taylor]: Taking taylor expansion of 1 in U 17.933 * [backup-simplify]: Simplify 1 into 1 17.933 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 17.933 * [taylor]: Taking taylor expansion of 1/4 in U 17.933 * [backup-simplify]: Simplify 1/4 into 1/4 17.933 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 17.933 * [taylor]: Taking taylor expansion of (pow J 2) in U 17.933 * [taylor]: Taking taylor expansion of J in U 17.934 * [backup-simplify]: Simplify J into J 17.934 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 17.934 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 17.934 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 17.934 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 17.934 * [taylor]: Taking taylor expansion of -1/2 in U 17.934 * [backup-simplify]: Simplify -1/2 into -1/2 17.934 * [taylor]: Taking taylor expansion of K in U 17.934 * [backup-simplify]: Simplify K into K 17.934 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.934 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.934 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.934 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.934 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.934 * [backup-simplify]: Simplify (- 0) into 0 17.934 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.934 * [taylor]: Taking taylor expansion of (pow U 2) in U 17.934 * [taylor]: Taking taylor expansion of U in U 17.934 * [backup-simplify]: Simplify 0 into 0 17.934 * [backup-simplify]: Simplify 1 into 1 17.934 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.934 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.935 * [backup-simplify]: Simplify (* 1 1) into 1 17.935 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 17.935 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.935 * [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))) 17.935 * [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))) 17.936 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.936 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.936 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.937 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.937 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 17.937 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 17.937 * [taylor]: Taking taylor expansion of 1/6 in K 17.937 * [backup-simplify]: Simplify 1/6 into 1/6 17.937 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 17.937 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 17.937 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 17.937 * [taylor]: Taking taylor expansion of 1/4 in K 17.937 * [backup-simplify]: Simplify 1/4 into 1/4 17.937 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 17.937 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.937 * [taylor]: Taking taylor expansion of J in K 17.937 * [backup-simplify]: Simplify J into J 17.937 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.937 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.937 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.937 * [taylor]: Taking taylor expansion of -1/2 in K 17.937 * [backup-simplify]: Simplify -1/2 into -1/2 17.937 * [taylor]: Taking taylor expansion of K in K 17.937 * [backup-simplify]: Simplify 0 into 0 17.937 * [backup-simplify]: Simplify 1 into 1 17.937 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.937 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.937 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.938 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.938 * [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))) 17.938 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.938 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.938 * [taylor]: Taking taylor expansion of 2 in K 17.938 * [backup-simplify]: Simplify 2 into 2 17.938 * [taylor]: Taking taylor expansion of (log U) in K 17.938 * [taylor]: Taking taylor expansion of U in K 17.938 * [backup-simplify]: Simplify U into U 17.938 * [backup-simplify]: Simplify (log U) into (log U) 17.938 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.938 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.938 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.939 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.939 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.939 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 17.939 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 17.939 * [taylor]: Taking taylor expansion of 1/6 in J 17.939 * [backup-simplify]: Simplify 1/6 into 1/6 17.939 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 17.939 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 17.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 17.939 * [taylor]: Taking taylor expansion of 1/4 in J 17.939 * [backup-simplify]: Simplify 1/4 into 1/4 17.939 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 17.939 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.939 * [taylor]: Taking taylor expansion of J in J 17.939 * [backup-simplify]: Simplify 0 into 0 17.939 * [backup-simplify]: Simplify 1 into 1 17.939 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.939 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.939 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.939 * [taylor]: Taking taylor expansion of -1/2 in J 17.939 * [backup-simplify]: Simplify -1/2 into -1/2 17.939 * [taylor]: Taking taylor expansion of K in J 17.939 * [backup-simplify]: Simplify K into K 17.939 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.939 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.939 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.939 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.939 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.940 * [backup-simplify]: Simplify (- 0) into 0 17.940 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.940 * [backup-simplify]: Simplify (* 1 1) into 1 17.940 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.940 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 17.940 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 17.940 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 17.940 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.940 * [taylor]: Taking taylor expansion of 2 in J 17.940 * [backup-simplify]: Simplify 2 into 2 17.940 * [taylor]: Taking taylor expansion of (log U) in J 17.940 * [taylor]: Taking taylor expansion of U in J 17.941 * [backup-simplify]: Simplify U into U 17.941 * [backup-simplify]: Simplify (log U) into (log U) 17.941 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 17.941 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.941 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.941 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.942 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.942 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.942 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.942 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.944 * [backup-simplify]: Simplify (+ 0) into 0 17.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 17.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 17.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 17.946 * [backup-simplify]: Simplify (- 0) into 0 17.946 * [backup-simplify]: Simplify (+ 0 0) into 0 17.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.947 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 17.948 * [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 17.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 17.949 * [backup-simplify]: Simplify (+ 0 0) into 0 17.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 17.951 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.952 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.953 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.953 * [taylor]: Taking taylor expansion of 0 in K 17.953 * [backup-simplify]: Simplify 0 into 0 17.953 * [taylor]: Taking taylor expansion of 0 in J 17.953 * [backup-simplify]: Simplify 0 into 0 17.953 * [backup-simplify]: Simplify 0 into 0 17.953 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 17.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.954 * [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 17.955 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 17.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 17.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.957 * [backup-simplify]: Simplify (- 0) into 0 17.958 * [backup-simplify]: Simplify (+ 0 0) into 0 17.959 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.960 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.960 * [taylor]: Taking taylor expansion of 0 in J 17.960 * [backup-simplify]: Simplify 0 into 0 17.960 * [backup-simplify]: Simplify 0 into 0 17.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.961 * [backup-simplify]: Simplify (+ 0) into 0 17.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 17.962 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 17.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 17.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 17.963 * [backup-simplify]: Simplify (- 0) into 0 17.964 * [backup-simplify]: Simplify (+ 0 0) into 0 17.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 17.964 * [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 17.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 17.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 17.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 17.967 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 17.967 * [backup-simplify]: Simplify (- 0) into 0 17.968 * [backup-simplify]: Simplify (+ 0 0) into 0 17.969 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 17.970 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.970 * [backup-simplify]: Simplify 0 into 0 17.971 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 17.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 17.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 17.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 17.974 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 17.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 17.975 * [backup-simplify]: Simplify (- 0) into 0 17.976 * [backup-simplify]: Simplify (+ 0 0) into 0 17.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 17.977 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 17.978 * [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 17.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 17.979 * [backup-simplify]: Simplify (+ 1 0) into 1 17.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 17.982 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.983 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 17.985 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 17.985 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in K 17.985 * [taylor]: Taking taylor expansion of 2/3 in K 17.985 * [backup-simplify]: Simplify 2/3 into 2/3 17.985 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 17.985 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 17.985 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.985 * [taylor]: Taking taylor expansion of -1/2 in K 17.985 * [backup-simplify]: Simplify -1/2 into -1/2 17.985 * [taylor]: Taking taylor expansion of K in K 17.985 * [backup-simplify]: Simplify 0 into 0 17.985 * [backup-simplify]: Simplify 1 into 1 17.986 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.986 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 17.986 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 17.986 * [taylor]: Taking taylor expansion of 1/6 in K 17.986 * [backup-simplify]: Simplify 1/6 into 1/6 17.986 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 17.986 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 17.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 17.986 * [taylor]: Taking taylor expansion of 1/4 in K 17.986 * [backup-simplify]: Simplify 1/4 into 1/4 17.986 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 17.986 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.986 * [taylor]: Taking taylor expansion of J in K 17.986 * [backup-simplify]: Simplify J into J 17.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 17.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 17.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 17.986 * [taylor]: Taking taylor expansion of -1/2 in K 17.986 * [backup-simplify]: Simplify -1/2 into -1/2 17.986 * [taylor]: Taking taylor expansion of K in K 17.986 * [backup-simplify]: Simplify 0 into 0 17.986 * [backup-simplify]: Simplify 1 into 1 17.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 17.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.987 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.988 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 17.988 * [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))) 17.988 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 17.988 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 17.988 * [taylor]: Taking taylor expansion of 2 in K 17.988 * [backup-simplify]: Simplify 2 into 2 17.988 * [taylor]: Taking taylor expansion of (log U) in K 17.988 * [taylor]: Taking taylor expansion of U in K 17.988 * [backup-simplify]: Simplify U into U 17.988 * [backup-simplify]: Simplify (log U) into (log U) 17.988 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.988 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.989 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.989 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.990 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.990 * [taylor]: Taking taylor expansion of (pow J 2) in K 17.990 * [taylor]: Taking taylor expansion of J in K 17.990 * [backup-simplify]: Simplify J into J 17.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.990 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 17.990 * [backup-simplify]: Simplify (* J J) into (pow J 2) 17.991 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 17.992 * [backup-simplify]: Simplify (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 17.992 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 17.992 * [taylor]: Taking taylor expansion of 2/3 in J 17.992 * [backup-simplify]: Simplify 2/3 into 2/3 17.992 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 17.992 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 17.992 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.992 * [taylor]: Taking taylor expansion of -1/2 in J 17.992 * [backup-simplify]: Simplify -1/2 into -1/2 17.992 * [taylor]: Taking taylor expansion of K in J 17.992 * [backup-simplify]: Simplify K into K 17.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.993 * [backup-simplify]: Simplify (- 0) into 0 17.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.993 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 17.993 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 17.993 * [taylor]: Taking taylor expansion of 1/6 in J 17.993 * [backup-simplify]: Simplify 1/6 into 1/6 17.993 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 17.993 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 17.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 17.993 * [taylor]: Taking taylor expansion of 1/4 in J 17.993 * [backup-simplify]: Simplify 1/4 into 1/4 17.993 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 17.993 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.993 * [taylor]: Taking taylor expansion of J in J 17.993 * [backup-simplify]: Simplify 0 into 0 17.993 * [backup-simplify]: Simplify 1 into 1 17.993 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 17.994 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 17.994 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 17.994 * [taylor]: Taking taylor expansion of -1/2 in J 17.994 * [backup-simplify]: Simplify -1/2 into -1/2 17.994 * [taylor]: Taking taylor expansion of K in J 17.994 * [backup-simplify]: Simplify K into K 17.994 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 17.994 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 17.994 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 17.994 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 17.994 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 17.994 * [backup-simplify]: Simplify (- 0) into 0 17.995 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 17.995 * [backup-simplify]: Simplify (* 1 1) into 1 17.995 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.995 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 17.995 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 17.996 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 17.996 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 17.996 * [taylor]: Taking taylor expansion of 2 in J 17.996 * [backup-simplify]: Simplify 2 into 2 17.996 * [taylor]: Taking taylor expansion of (log U) in J 17.996 * [taylor]: Taking taylor expansion of U in J 17.996 * [backup-simplify]: Simplify U into U 17.996 * [backup-simplify]: Simplify (log U) into (log U) 17.996 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 17.997 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 17.997 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 17.997 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 17.997 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 17.998 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 17.998 * [taylor]: Taking taylor expansion of (pow J 2) in J 17.998 * [taylor]: Taking taylor expansion of J in J 17.998 * [backup-simplify]: Simplify 0 into 0 17.998 * [backup-simplify]: Simplify 1 into 1 17.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 17.998 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 17.999 * [backup-simplify]: Simplify (* 1 1) into 1 17.999 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 18.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.000 * [backup-simplify]: Simplify (+ 0) into 0 18.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.003 * [backup-simplify]: Simplify (- 0) into 0 18.003 * [backup-simplify]: Simplify (+ 0 0) into 0 18.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.004 * [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 18.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 18.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 18.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.007 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.007 * [backup-simplify]: Simplify (- 0) into 0 18.007 * [backup-simplify]: Simplify (+ 0 0) into 0 18.008 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 18.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.013 * [backup-simplify]: Simplify (- 0) into 0 18.013 * [backup-simplify]: Simplify (+ 0 0) into 0 18.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.014 * [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 18.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 18.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 18.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 18.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 18.020 * [backup-simplify]: Simplify (- 0) into 0 18.021 * [backup-simplify]: Simplify (+ 0 0) into 0 18.022 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 18.023 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.024 * [backup-simplify]: Simplify (+ 0) into 0 18.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.026 * [backup-simplify]: Simplify (- 0) into 0 18.027 * [backup-simplify]: Simplify (+ 0 0) into 0 18.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.028 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.031 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.032 * [backup-simplify]: Simplify (- 0) into 0 18.032 * [backup-simplify]: Simplify (+ 0 0) into 0 18.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.034 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 18.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.035 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 18.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 18.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.041 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 18.041 * [backup-simplify]: Simplify 0 into 0 18.041 * [taylor]: Taking taylor expansion of 0 in J 18.041 * [backup-simplify]: Simplify 0 into 0 18.041 * [backup-simplify]: Simplify 0 into 0 18.042 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.043 * [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 18.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 18.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 18.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 18.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 18.049 * [backup-simplify]: Simplify (- 0) into 0 18.050 * [backup-simplify]: Simplify (+ 0 0) into 0 18.051 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 18.053 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.053 * [taylor]: Taking taylor expansion of 0 in J 18.053 * [backup-simplify]: Simplify 0 into 0 18.053 * [backup-simplify]: Simplify 0 into 0 18.053 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 18.053 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 18.054 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 18.054 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U K J) around 0 18.054 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 18.054 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 18.054 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 18.054 * [taylor]: Taking taylor expansion of 1/6 in J 18.054 * [backup-simplify]: Simplify 1/6 into 1/6 18.054 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 18.054 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 18.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 18.054 * [taylor]: Taking taylor expansion of 1/4 in J 18.054 * [backup-simplify]: Simplify 1/4 into 1/4 18.054 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 18.054 * [taylor]: Taking taylor expansion of (pow U 2) in J 18.054 * [taylor]: Taking taylor expansion of U in J 18.054 * [backup-simplify]: Simplify U into U 18.054 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 18.054 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 18.054 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.054 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.054 * [taylor]: Taking taylor expansion of 1/2 in J 18.054 * [backup-simplify]: Simplify 1/2 into 1/2 18.054 * [taylor]: Taking taylor expansion of K in J 18.054 * [backup-simplify]: Simplify K into K 18.054 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.054 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.054 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.054 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.055 * [backup-simplify]: Simplify (- 0) into 0 18.055 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.055 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.055 * [taylor]: Taking taylor expansion of J in J 18.055 * [backup-simplify]: Simplify 0 into 0 18.055 * [backup-simplify]: Simplify 1 into 1 18.055 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 18.058 * [backup-simplify]: Simplify (* 1 1) into 1 18.059 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 18.059 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 18.059 * [taylor]: Taking taylor expansion of 1 in J 18.059 * [backup-simplify]: Simplify 1 into 1 18.059 * [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))) 18.059 * [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))) 18.059 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 18.060 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 18.060 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 18.060 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 18.060 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 18.061 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 18.061 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 18.061 * [taylor]: Taking taylor expansion of 1/6 in K 18.061 * [backup-simplify]: Simplify 1/6 into 1/6 18.061 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 18.061 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 18.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 18.061 * [taylor]: Taking taylor expansion of 1/4 in K 18.061 * [backup-simplify]: Simplify 1/4 into 1/4 18.061 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 18.061 * [taylor]: Taking taylor expansion of (pow U 2) in K 18.061 * [taylor]: Taking taylor expansion of U in K 18.061 * [backup-simplify]: Simplify U into U 18.061 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 18.061 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 18.061 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.061 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.061 * [taylor]: Taking taylor expansion of 1/2 in K 18.061 * [backup-simplify]: Simplify 1/2 into 1/2 18.061 * [taylor]: Taking taylor expansion of K in K 18.061 * [backup-simplify]: Simplify 0 into 0 18.061 * [backup-simplify]: Simplify 1 into 1 18.061 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.062 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.062 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.062 * [taylor]: Taking taylor expansion of J in K 18.062 * [backup-simplify]: Simplify J into J 18.062 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.062 * [backup-simplify]: Simplify (* 1 1) into 1 18.062 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.062 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 18.062 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 18.062 * [taylor]: Taking taylor expansion of 1 in K 18.062 * [backup-simplify]: Simplify 1 into 1 18.062 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 18.063 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 18.063 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 18.063 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 18.063 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 18.063 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 18.063 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 18.063 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 18.063 * [taylor]: Taking taylor expansion of 1/6 in U 18.063 * [backup-simplify]: Simplify 1/6 into 1/6 18.063 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 18.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 18.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 18.063 * [taylor]: Taking taylor expansion of 1/4 in U 18.063 * [backup-simplify]: Simplify 1/4 into 1/4 18.063 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 18.063 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.063 * [taylor]: Taking taylor expansion of U in U 18.063 * [backup-simplify]: Simplify 0 into 0 18.063 * [backup-simplify]: Simplify 1 into 1 18.063 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 18.063 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 18.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.063 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.063 * [taylor]: Taking taylor expansion of 1/2 in U 18.063 * [backup-simplify]: Simplify 1/2 into 1/2 18.063 * [taylor]: Taking taylor expansion of K in U 18.064 * [backup-simplify]: Simplify K into K 18.064 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.064 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.064 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.064 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.064 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.064 * [backup-simplify]: Simplify (- 0) into 0 18.064 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.064 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.064 * [taylor]: Taking taylor expansion of J in U 18.064 * [backup-simplify]: Simplify J into J 18.064 * [backup-simplify]: Simplify (* 1 1) into 1 18.064 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 18.065 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.065 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 18.065 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.065 * [taylor]: Taking taylor expansion of 1 in U 18.065 * [backup-simplify]: Simplify 1 into 1 18.065 * [backup-simplify]: Simplify (+ 0 1) into 1 18.065 * [backup-simplify]: Simplify (log 1) into 0 18.066 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.066 * [backup-simplify]: Simplify (+ 0 0) into 0 18.067 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.067 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 18.067 * [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))) 18.068 * [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)))) 18.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.069 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 18.069 * [backup-simplify]: Simplify (exp 0) into 1 18.069 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 18.069 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 18.069 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 18.069 * [taylor]: Taking taylor expansion of 1/6 in U 18.069 * [backup-simplify]: Simplify 1/6 into 1/6 18.069 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 18.069 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 18.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 18.070 * [taylor]: Taking taylor expansion of 1/4 in U 18.070 * [backup-simplify]: Simplify 1/4 into 1/4 18.070 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 18.070 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.070 * [taylor]: Taking taylor expansion of U in U 18.070 * [backup-simplify]: Simplify 0 into 0 18.070 * [backup-simplify]: Simplify 1 into 1 18.070 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 18.070 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 18.070 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.070 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.070 * [taylor]: Taking taylor expansion of 1/2 in U 18.070 * [backup-simplify]: Simplify 1/2 into 1/2 18.070 * [taylor]: Taking taylor expansion of K in U 18.070 * [backup-simplify]: Simplify K into K 18.070 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.070 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.070 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.070 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.070 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.070 * [backup-simplify]: Simplify (- 0) into 0 18.070 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.070 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.070 * [taylor]: Taking taylor expansion of J in U 18.070 * [backup-simplify]: Simplify J into J 18.071 * [backup-simplify]: Simplify (* 1 1) into 1 18.071 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 18.071 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.071 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 18.071 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.071 * [taylor]: Taking taylor expansion of 1 in U 18.071 * [backup-simplify]: Simplify 1 into 1 18.071 * [backup-simplify]: Simplify (+ 0 1) into 1 18.072 * [backup-simplify]: Simplify (log 1) into 0 18.072 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.072 * [backup-simplify]: Simplify (+ 0 0) into 0 18.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.073 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 18.074 * [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))) 18.074 * [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)))) 18.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.076 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 18.076 * [backup-simplify]: Simplify (exp 0) into 1 18.076 * [taylor]: Taking taylor expansion of 1 in K 18.076 * [backup-simplify]: Simplify 1 into 1 18.076 * [taylor]: Taking taylor expansion of 1 in J 18.076 * [backup-simplify]: Simplify 1 into 1 18.076 * [backup-simplify]: Simplify 1 into 1 18.077 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 18.077 * [taylor]: Taking taylor expansion of 0 in K 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [taylor]: Taking taylor expansion of 0 in J 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [taylor]: Taking taylor expansion of 0 in J 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify 0 into 0 18.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.078 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 18.078 * [taylor]: Taking taylor expansion of 1/24 in K 18.078 * [backup-simplify]: Simplify 1/24 into 1/24 18.078 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 18.078 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 18.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.078 * [taylor]: Taking taylor expansion of 1/2 in K 18.078 * [backup-simplify]: Simplify 1/2 into 1/2 18.078 * [taylor]: Taking taylor expansion of K in K 18.078 * [backup-simplify]: Simplify 0 into 0 18.078 * [backup-simplify]: Simplify 1 into 1 18.078 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.079 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.079 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.079 * [taylor]: Taking taylor expansion of J in K 18.079 * [backup-simplify]: Simplify J into J 18.079 * [backup-simplify]: Simplify (* 1 1) into 1 18.079 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.079 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 18.079 * [backup-simplify]: Simplify (/ 1/24 (pow J 2)) into (/ 1/24 (pow J 2)) 18.079 * [taylor]: Taking taylor expansion of (/ 1/24 (pow J 2)) in J 18.079 * [taylor]: Taking taylor expansion of 1/24 in J 18.079 * [backup-simplify]: Simplify 1/24 into 1/24 18.079 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.079 * [taylor]: Taking taylor expansion of J in J 18.079 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify 1 into 1 18.079 * [backup-simplify]: Simplify (* 1 1) into 1 18.080 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 18.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 18.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [taylor]: Taking taylor expansion of 0 in J 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [taylor]: Taking taylor expansion of 0 in J 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [backup-simplify]: Simplify 1 into 1 18.082 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 18.082 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U K J) around 0 18.082 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 18.082 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 18.082 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 18.082 * [taylor]: Taking taylor expansion of 1/6 in J 18.083 * [backup-simplify]: Simplify 1/6 into 1/6 18.083 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 18.083 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 18.083 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 18.083 * [taylor]: Taking taylor expansion of 1/4 in J 18.083 * [backup-simplify]: Simplify 1/4 into 1/4 18.083 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 18.083 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.083 * [taylor]: Taking taylor expansion of J in J 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify 1 into 1 18.083 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 18.083 * [taylor]: Taking taylor expansion of (pow U 2) in J 18.083 * [taylor]: Taking taylor expansion of U in J 18.083 * [backup-simplify]: Simplify U into U 18.083 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 18.083 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.083 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.083 * [taylor]: Taking taylor expansion of 1/2 in J 18.083 * [backup-simplify]: Simplify 1/2 into 1/2 18.083 * [taylor]: Taking taylor expansion of K in J 18.083 * [backup-simplify]: Simplify K into K 18.083 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.083 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.083 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.083 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.083 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.083 * [backup-simplify]: Simplify (- 0) into 0 18.083 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.084 * [backup-simplify]: Simplify (* 1 1) into 1 18.084 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.084 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.084 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 18.084 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 18.084 * [taylor]: Taking taylor expansion of 1 in J 18.084 * [backup-simplify]: Simplify 1 into 1 18.084 * [backup-simplify]: Simplify (+ 0 1) into 1 18.085 * [backup-simplify]: Simplify (log 1) into 0 18.085 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.085 * [backup-simplify]: Simplify (+ 0 0) into 0 18.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.086 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 18.087 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 18.087 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 18.088 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 18.089 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 18.089 * [backup-simplify]: Simplify (exp 0) into 1 18.089 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 18.089 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 18.089 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 18.089 * [taylor]: Taking taylor expansion of 1/6 in K 18.089 * [backup-simplify]: Simplify 1/6 into 1/6 18.089 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 18.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 18.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 18.089 * [taylor]: Taking taylor expansion of 1/4 in K 18.089 * [backup-simplify]: Simplify 1/4 into 1/4 18.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 18.089 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.089 * [taylor]: Taking taylor expansion of J in K 18.089 * [backup-simplify]: Simplify J into J 18.089 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 18.089 * [taylor]: Taking taylor expansion of (pow U 2) in K 18.089 * [taylor]: Taking taylor expansion of U in K 18.089 * [backup-simplify]: Simplify U into U 18.089 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 18.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.089 * [taylor]: Taking taylor expansion of 1/2 in K 18.089 * [backup-simplify]: Simplify 1/2 into 1/2 18.089 * [taylor]: Taking taylor expansion of K in K 18.089 * [backup-simplify]: Simplify 0 into 0 18.089 * [backup-simplify]: Simplify 1 into 1 18.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.090 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.090 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.090 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 18.090 * [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))) 18.090 * [taylor]: Taking taylor expansion of 1 in K 18.090 * [backup-simplify]: Simplify 1 into 1 18.090 * [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)))) 18.090 * [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) 18.091 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 18.091 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 18.091 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 18.091 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 18.091 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 18.091 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 18.091 * [taylor]: Taking taylor expansion of 1/6 in U 18.091 * [backup-simplify]: Simplify 1/6 into 1/6 18.091 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 18.091 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 18.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 18.091 * [taylor]: Taking taylor expansion of 1/4 in U 18.092 * [backup-simplify]: Simplify 1/4 into 1/4 18.092 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 18.092 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.092 * [taylor]: Taking taylor expansion of J in U 18.092 * [backup-simplify]: Simplify J into J 18.092 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 18.092 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.092 * [taylor]: Taking taylor expansion of U in U 18.092 * [backup-simplify]: Simplify 0 into 0 18.092 * [backup-simplify]: Simplify 1 into 1 18.092 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 18.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.092 * [taylor]: Taking taylor expansion of 1/2 in U 18.092 * [backup-simplify]: Simplify 1/2 into 1/2 18.092 * [taylor]: Taking taylor expansion of K in U 18.092 * [backup-simplify]: Simplify K into K 18.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.092 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.092 * [backup-simplify]: Simplify (- 0) into 0 18.092 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.092 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.093 * [backup-simplify]: Simplify (* 1 1) into 1 18.093 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.093 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 18.093 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 18.093 * [taylor]: Taking taylor expansion of 1 in U 18.093 * [backup-simplify]: Simplify 1 into 1 18.093 * [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))) 18.093 * [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))) 18.094 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 18.094 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.094 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 18.094 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.095 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 18.095 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 18.095 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 18.095 * [taylor]: Taking taylor expansion of 1/6 in U 18.095 * [backup-simplify]: Simplify 1/6 into 1/6 18.095 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 18.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 18.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 18.095 * [taylor]: Taking taylor expansion of 1/4 in U 18.095 * [backup-simplify]: Simplify 1/4 into 1/4 18.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 18.095 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.095 * [taylor]: Taking taylor expansion of J in U 18.095 * [backup-simplify]: Simplify J into J 18.095 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 18.095 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.095 * [taylor]: Taking taylor expansion of U in U 18.095 * [backup-simplify]: Simplify 0 into 0 18.095 * [backup-simplify]: Simplify 1 into 1 18.095 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 18.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.095 * [taylor]: Taking taylor expansion of 1/2 in U 18.095 * [backup-simplify]: Simplify 1/2 into 1/2 18.095 * [taylor]: Taking taylor expansion of K in U 18.095 * [backup-simplify]: Simplify K into K 18.095 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.095 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.095 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.095 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.095 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.096 * [backup-simplify]: Simplify (- 0) into 0 18.096 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.096 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.096 * [backup-simplify]: Simplify (* 1 1) into 1 18.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.096 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 18.096 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 18.096 * [taylor]: Taking taylor expansion of 1 in U 18.096 * [backup-simplify]: Simplify 1 into 1 18.096 * [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))) 18.097 * [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))) 18.097 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 18.098 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.098 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 18.098 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.098 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 18.098 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 18.098 * [taylor]: Taking taylor expansion of 1/6 in K 18.098 * [backup-simplify]: Simplify 1/6 into 1/6 18.098 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 18.098 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 18.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 18.098 * [taylor]: Taking taylor expansion of 1/4 in K 18.098 * [backup-simplify]: Simplify 1/4 into 1/4 18.098 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 18.098 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.098 * [taylor]: Taking taylor expansion of J in K 18.098 * [backup-simplify]: Simplify J into J 18.098 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 18.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.098 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.098 * [taylor]: Taking taylor expansion of 1/2 in K 18.098 * [backup-simplify]: Simplify 1/2 into 1/2 18.098 * [taylor]: Taking taylor expansion of K in K 18.098 * [backup-simplify]: Simplify 0 into 0 18.098 * [backup-simplify]: Simplify 1 into 1 18.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.099 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 18.099 * [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))) 18.099 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 18.099 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 18.099 * [taylor]: Taking taylor expansion of 2 in K 18.099 * [backup-simplify]: Simplify 2 into 2 18.099 * [taylor]: Taking taylor expansion of (log U) in K 18.099 * [taylor]: Taking taylor expansion of U in K 18.099 * [backup-simplify]: Simplify U into U 18.099 * [backup-simplify]: Simplify (log U) into (log U) 18.100 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.100 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.100 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.100 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 18.100 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.100 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 18.100 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 18.100 * [taylor]: Taking taylor expansion of 1/6 in J 18.100 * [backup-simplify]: Simplify 1/6 into 1/6 18.100 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 18.100 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 18.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 18.100 * [taylor]: Taking taylor expansion of 1/4 in J 18.100 * [backup-simplify]: Simplify 1/4 into 1/4 18.100 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 18.100 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.100 * [taylor]: Taking taylor expansion of J in J 18.100 * [backup-simplify]: Simplify 0 into 0 18.100 * [backup-simplify]: Simplify 1 into 1 18.100 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 18.100 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.100 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.101 * [taylor]: Taking taylor expansion of 1/2 in J 18.101 * [backup-simplify]: Simplify 1/2 into 1/2 18.101 * [taylor]: Taking taylor expansion of K in J 18.101 * [backup-simplify]: Simplify K into K 18.101 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.101 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.101 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.101 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.101 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.101 * [backup-simplify]: Simplify (- 0) into 0 18.101 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.102 * [backup-simplify]: Simplify (* 1 1) into 1 18.102 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.102 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 18.102 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 18.102 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 18.102 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 18.102 * [taylor]: Taking taylor expansion of 2 in J 18.102 * [backup-simplify]: Simplify 2 into 2 18.102 * [taylor]: Taking taylor expansion of (log U) in J 18.102 * [taylor]: Taking taylor expansion of U in J 18.102 * [backup-simplify]: Simplify U into U 18.102 * [backup-simplify]: Simplify (log U) into (log U) 18.103 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 18.103 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.103 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.104 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.104 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 18.104 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.105 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.105 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.106 * [backup-simplify]: Simplify (+ 0) into 0 18.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.106 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.108 * [backup-simplify]: Simplify (- 0) into 0 18.108 * [backup-simplify]: Simplify (+ 0 0) into 0 18.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 18.111 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 18.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 18.112 * [backup-simplify]: Simplify (+ 0 0) into 0 18.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 18.114 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.114 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 18.116 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.116 * [taylor]: Taking taylor expansion of 0 in K 18.116 * [backup-simplify]: Simplify 0 into 0 18.116 * [taylor]: Taking taylor expansion of 0 in J 18.116 * [backup-simplify]: Simplify 0 into 0 18.116 * [backup-simplify]: Simplify 0 into 0 18.116 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.117 * [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 18.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 18.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 18.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.120 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.120 * [backup-simplify]: Simplify (- 0) into 0 18.121 * [backup-simplify]: Simplify (+ 0 0) into 0 18.121 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 18.123 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.123 * [taylor]: Taking taylor expansion of 0 in J 18.123 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify 0 into 0 18.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.124 * [backup-simplify]: Simplify (+ 0) into 0 18.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.127 * [backup-simplify]: Simplify (- 0) into 0 18.127 * [backup-simplify]: Simplify (+ 0 0) into 0 18.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.128 * [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 18.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 18.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 18.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.130 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.130 * [backup-simplify]: Simplify (- 0) into 0 18.131 * [backup-simplify]: Simplify (+ 0 0) into 0 18.131 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 18.132 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.132 * [backup-simplify]: Simplify 0 into 0 18.132 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.134 * [backup-simplify]: Simplify (- 0) into 0 18.134 * [backup-simplify]: Simplify (+ 0 0) into 0 18.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 18.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 18.136 * [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 18.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 18.137 * [backup-simplify]: Simplify (+ 0 1) into 1 18.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 18.139 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.140 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 18.141 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 18.141 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K 18.141 * [taylor]: Taking taylor expansion of 2/3 in K 18.141 * [backup-simplify]: Simplify 2/3 into 2/3 18.141 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 18.141 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 18.141 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 18.141 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 18.141 * [taylor]: Taking taylor expansion of 1/6 in K 18.141 * [backup-simplify]: Simplify 1/6 into 1/6 18.141 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 18.141 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 18.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 18.141 * [taylor]: Taking taylor expansion of 1/4 in K 18.141 * [backup-simplify]: Simplify 1/4 into 1/4 18.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 18.141 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.141 * [taylor]: Taking taylor expansion of J in K 18.141 * [backup-simplify]: Simplify J into J 18.141 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 18.141 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.141 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.141 * [taylor]: Taking taylor expansion of 1/2 in K 18.141 * [backup-simplify]: Simplify 1/2 into 1/2 18.141 * [taylor]: Taking taylor expansion of K in K 18.141 * [backup-simplify]: Simplify 0 into 0 18.141 * [backup-simplify]: Simplify 1 into 1 18.142 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.142 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.142 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.142 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 18.142 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 18.142 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 18.142 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 18.142 * [taylor]: Taking taylor expansion of 2 in K 18.142 * [backup-simplify]: Simplify 2 into 2 18.142 * [taylor]: Taking taylor expansion of (log U) in K 18.142 * [taylor]: Taking taylor expansion of U in K 18.142 * [backup-simplify]: Simplify U into U 18.142 * [backup-simplify]: Simplify (log U) into (log U) 18.142 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.142 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.143 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.143 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 18.143 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.143 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 18.143 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.143 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.143 * [taylor]: Taking taylor expansion of 1/2 in K 18.143 * [backup-simplify]: Simplify 1/2 into 1/2 18.143 * [taylor]: Taking taylor expansion of K in K 18.143 * [backup-simplify]: Simplify 0 into 0 18.143 * [backup-simplify]: Simplify 1 into 1 18.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.144 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.144 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.144 * [taylor]: Taking taylor expansion of J in K 18.144 * [backup-simplify]: Simplify J into J 18.144 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.144 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 18.144 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.144 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 18.145 * [backup-simplify]: Simplify (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 18.145 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 18.145 * [taylor]: Taking taylor expansion of 2/3 in J 18.145 * [backup-simplify]: Simplify 2/3 into 2/3 18.145 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 18.145 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 18.145 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 18.145 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 18.145 * [taylor]: Taking taylor expansion of 1/6 in J 18.145 * [backup-simplify]: Simplify 1/6 into 1/6 18.145 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 18.145 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 18.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 18.145 * [taylor]: Taking taylor expansion of 1/4 in J 18.145 * [backup-simplify]: Simplify 1/4 into 1/4 18.145 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 18.145 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.145 * [taylor]: Taking taylor expansion of J in J 18.145 * [backup-simplify]: Simplify 0 into 0 18.145 * [backup-simplify]: Simplify 1 into 1 18.145 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 18.145 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.145 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.145 * [taylor]: Taking taylor expansion of 1/2 in J 18.145 * [backup-simplify]: Simplify 1/2 into 1/2 18.145 * [taylor]: Taking taylor expansion of K in J 18.145 * [backup-simplify]: Simplify K into K 18.145 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.145 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.145 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.145 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.146 * [backup-simplify]: Simplify (- 0) into 0 18.146 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.146 * [backup-simplify]: Simplify (* 1 1) into 1 18.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.146 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 18.146 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 18.146 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 18.146 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 18.146 * [taylor]: Taking taylor expansion of 2 in J 18.146 * [backup-simplify]: Simplify 2 into 2 18.147 * [taylor]: Taking taylor expansion of (log U) in J 18.147 * [taylor]: Taking taylor expansion of U in J 18.147 * [backup-simplify]: Simplify U into U 18.147 * [backup-simplify]: Simplify (log U) into (log U) 18.147 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 18.147 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.147 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.147 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 18.148 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 18.148 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 18.148 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 18.148 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.148 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.148 * [taylor]: Taking taylor expansion of 1/2 in J 18.148 * [backup-simplify]: Simplify 1/2 into 1/2 18.148 * [taylor]: Taking taylor expansion of K in J 18.148 * [backup-simplify]: Simplify K into K 18.148 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.148 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.148 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.148 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.148 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.149 * [backup-simplify]: Simplify (- 0) into 0 18.149 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.149 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.149 * [taylor]: Taking taylor expansion of J in J 18.149 * [backup-simplify]: Simplify 0 into 0 18.149 * [backup-simplify]: Simplify 1 into 1 18.149 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.149 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 18.149 * [backup-simplify]: Simplify (* 1 1) into 1 18.150 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 18.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.151 * [backup-simplify]: Simplify (+ 0) into 0 18.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.151 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.153 * [backup-simplify]: Simplify (- 0) into 0 18.153 * [backup-simplify]: Simplify (+ 0 0) into 0 18.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.154 * [backup-simplify]: Simplify (- 0) into 0 18.154 * [backup-simplify]: Simplify (+ 0 0) into 0 18.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 18.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.155 * [backup-simplify]: Simplify (+ 0) into 0 18.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.156 * [backup-simplify]: Simplify (- 0) into 0 18.157 * [backup-simplify]: Simplify (+ 0 0) into 0 18.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.157 * [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 18.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 18.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 18.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.159 * [backup-simplify]: Simplify (- 0) into 0 18.159 * [backup-simplify]: Simplify (+ 0 0) into 0 18.160 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 18.161 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.165 * [backup-simplify]: Simplify (- 0) into 0 18.165 * [backup-simplify]: Simplify (+ 0 0) into 0 18.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 18.167 * [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 18.168 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 18.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 18.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 18.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 18.178 * [backup-simplify]: Simplify (- 0) into 0 18.178 * [backup-simplify]: Simplify (+ 0 0) into 0 18.180 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 18.182 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.183 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 18.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.184 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 18.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 18.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.190 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 18.190 * [backup-simplify]: Simplify 0 into 0 18.190 * [taylor]: Taking taylor expansion of 0 in J 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 18.192 * [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 18.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 18.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 18.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 18.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 18.199 * [backup-simplify]: Simplify (- 0) into 0 18.200 * [backup-simplify]: Simplify (+ 0 0) into 0 18.201 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 18.203 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.203 * [taylor]: Taking taylor expansion of 0 in J 18.203 * [backup-simplify]: Simplify 0 into 0 18.203 * [backup-simplify]: Simplify 0 into 0 18.203 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 18.204 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 18.204 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U K J) around 0 18.204 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 18.204 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 18.204 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 18.204 * [taylor]: Taking taylor expansion of 1/6 in J 18.204 * [backup-simplify]: Simplify 1/6 into 1/6 18.204 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 18.204 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 18.204 * [taylor]: Taking taylor expansion of 1 in J 18.204 * [backup-simplify]: Simplify 1 into 1 18.204 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 18.204 * [taylor]: Taking taylor expansion of 1/4 in J 18.204 * [backup-simplify]: Simplify 1/4 into 1/4 18.204 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 18.204 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.204 * [taylor]: Taking taylor expansion of J in J 18.204 * [backup-simplify]: Simplify 0 into 0 18.205 * [backup-simplify]: Simplify 1 into 1 18.205 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 18.205 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 18.205 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.205 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.205 * [taylor]: Taking taylor expansion of -1/2 in J 18.205 * [backup-simplify]: Simplify -1/2 into -1/2 18.205 * [taylor]: Taking taylor expansion of K in J 18.205 * [backup-simplify]: Simplify K into K 18.205 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.205 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.205 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.206 * [backup-simplify]: Simplify (- 0) into 0 18.206 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.206 * [taylor]: Taking taylor expansion of (pow U 2) in J 18.206 * [taylor]: Taking taylor expansion of U in J 18.206 * [backup-simplify]: Simplify U into U 18.206 * [backup-simplify]: Simplify (* 1 1) into 1 18.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.207 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.207 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 18.207 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 18.208 * [backup-simplify]: Simplify (+ 1 0) into 1 18.208 * [backup-simplify]: Simplify (log 1) into 0 18.209 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.210 * [backup-simplify]: Simplify (+ 0 0) into 0 18.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.212 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 18.212 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 18.213 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 18.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 18.216 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 18.216 * [backup-simplify]: Simplify (exp 0) into 1 18.216 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 18.216 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 18.216 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 18.216 * [taylor]: Taking taylor expansion of 1/6 in K 18.216 * [backup-simplify]: Simplify 1/6 into 1/6 18.216 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 18.216 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 18.216 * [taylor]: Taking taylor expansion of 1 in K 18.216 * [backup-simplify]: Simplify 1 into 1 18.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 18.216 * [taylor]: Taking taylor expansion of 1/4 in K 18.216 * [backup-simplify]: Simplify 1/4 into 1/4 18.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 18.216 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.216 * [taylor]: Taking taylor expansion of J in K 18.216 * [backup-simplify]: Simplify J into J 18.217 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 18.217 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 18.217 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.217 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.217 * [taylor]: Taking taylor expansion of -1/2 in K 18.217 * [backup-simplify]: Simplify -1/2 into -1/2 18.217 * [taylor]: Taking taylor expansion of K in K 18.217 * [backup-simplify]: Simplify 0 into 0 18.217 * [backup-simplify]: Simplify 1 into 1 18.217 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.217 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.217 * [taylor]: Taking taylor expansion of (pow U 2) in K 18.217 * [taylor]: Taking taylor expansion of U in K 18.217 * [backup-simplify]: Simplify U into U 18.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.218 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.218 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.218 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 18.218 * [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))) 18.219 * [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)))) 18.219 * [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))))) 18.220 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 18.220 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 18.221 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 18.221 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 18.221 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 18.221 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 18.221 * [taylor]: Taking taylor expansion of 1/6 in U 18.221 * [backup-simplify]: Simplify 1/6 into 1/6 18.221 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 18.221 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 18.221 * [taylor]: Taking taylor expansion of 1 in U 18.221 * [backup-simplify]: Simplify 1 into 1 18.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 18.221 * [taylor]: Taking taylor expansion of 1/4 in U 18.221 * [backup-simplify]: Simplify 1/4 into 1/4 18.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 18.221 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.221 * [taylor]: Taking taylor expansion of J in U 18.221 * [backup-simplify]: Simplify J into J 18.221 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 18.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 18.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.221 * [taylor]: Taking taylor expansion of -1/2 in U 18.221 * [backup-simplify]: Simplify -1/2 into -1/2 18.221 * [taylor]: Taking taylor expansion of K in U 18.221 * [backup-simplify]: Simplify K into K 18.221 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.221 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.222 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.222 * [backup-simplify]: Simplify (- 0) into 0 18.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.222 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.222 * [taylor]: Taking taylor expansion of U in U 18.222 * [backup-simplify]: Simplify 0 into 0 18.222 * [backup-simplify]: Simplify 1 into 1 18.222 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.223 * [backup-simplify]: Simplify (* 1 1) into 1 18.223 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 18.223 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 18.223 * [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))) 18.223 * [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))) 18.223 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 18.224 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.224 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 18.224 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.224 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 18.224 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 18.224 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 18.224 * [taylor]: Taking taylor expansion of 1/6 in U 18.224 * [backup-simplify]: Simplify 1/6 into 1/6 18.224 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 18.224 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 18.224 * [taylor]: Taking taylor expansion of 1 in U 18.224 * [backup-simplify]: Simplify 1 into 1 18.224 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 18.224 * [taylor]: Taking taylor expansion of 1/4 in U 18.224 * [backup-simplify]: Simplify 1/4 into 1/4 18.225 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 18.225 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.225 * [taylor]: Taking taylor expansion of J in U 18.225 * [backup-simplify]: Simplify J into J 18.225 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 18.225 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 18.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.225 * [taylor]: Taking taylor expansion of -1/2 in U 18.225 * [backup-simplify]: Simplify -1/2 into -1/2 18.225 * [taylor]: Taking taylor expansion of K in U 18.225 * [backup-simplify]: Simplify K into K 18.225 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.225 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.225 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.225 * [backup-simplify]: Simplify (- 0) into 0 18.225 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.225 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.225 * [taylor]: Taking taylor expansion of U in U 18.225 * [backup-simplify]: Simplify 0 into 0 18.225 * [backup-simplify]: Simplify 1 into 1 18.225 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.226 * [backup-simplify]: Simplify (* 1 1) into 1 18.226 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 18.226 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 18.226 * [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))) 18.226 * [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))) 18.227 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 18.227 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.227 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 18.227 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.227 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 18.228 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 18.228 * [taylor]: Taking taylor expansion of 1/6 in K 18.228 * [backup-simplify]: Simplify 1/6 into 1/6 18.228 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 18.228 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 18.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 18.228 * [taylor]: Taking taylor expansion of 1/4 in K 18.228 * [backup-simplify]: Simplify 1/4 into 1/4 18.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 18.228 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.228 * [taylor]: Taking taylor expansion of J in K 18.228 * [backup-simplify]: Simplify J into J 18.228 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 18.228 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.228 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.228 * [taylor]: Taking taylor expansion of -1/2 in K 18.228 * [backup-simplify]: Simplify -1/2 into -1/2 18.228 * [taylor]: Taking taylor expansion of K in K 18.228 * [backup-simplify]: Simplify 0 into 0 18.228 * [backup-simplify]: Simplify 1 into 1 18.228 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.228 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.228 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.228 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 18.229 * [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))) 18.229 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 18.229 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 18.229 * [taylor]: Taking taylor expansion of 2 in K 18.229 * [backup-simplify]: Simplify 2 into 2 18.229 * [taylor]: Taking taylor expansion of (log U) in K 18.229 * [taylor]: Taking taylor expansion of U in K 18.229 * [backup-simplify]: Simplify U into U 18.229 * [backup-simplify]: Simplify (log U) into (log U) 18.229 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.229 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.229 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.229 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 18.230 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.230 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 18.230 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 18.230 * [taylor]: Taking taylor expansion of 1/6 in J 18.230 * [backup-simplify]: Simplify 1/6 into 1/6 18.230 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 18.230 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 18.230 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 18.230 * [taylor]: Taking taylor expansion of 1/4 in J 18.230 * [backup-simplify]: Simplify 1/4 into 1/4 18.230 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 18.230 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.230 * [taylor]: Taking taylor expansion of J in J 18.230 * [backup-simplify]: Simplify 0 into 0 18.230 * [backup-simplify]: Simplify 1 into 1 18.230 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 18.230 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.230 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.230 * [taylor]: Taking taylor expansion of -1/2 in J 18.230 * [backup-simplify]: Simplify -1/2 into -1/2 18.230 * [taylor]: Taking taylor expansion of K in J 18.230 * [backup-simplify]: Simplify K into K 18.230 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.230 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.230 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.230 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.230 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.230 * [backup-simplify]: Simplify (- 0) into 0 18.231 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.231 * [backup-simplify]: Simplify (* 1 1) into 1 18.231 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.231 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 18.231 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 18.231 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 18.231 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 18.231 * [taylor]: Taking taylor expansion of 2 in J 18.231 * [backup-simplify]: Simplify 2 into 2 18.231 * [taylor]: Taking taylor expansion of (log U) in J 18.231 * [taylor]: Taking taylor expansion of U in J 18.231 * [backup-simplify]: Simplify U into U 18.231 * [backup-simplify]: Simplify (log U) into (log U) 18.232 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 18.232 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.232 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.232 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.232 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 18.232 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.233 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.233 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.233 * [backup-simplify]: Simplify (+ 0) into 0 18.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.235 * [backup-simplify]: Simplify (- 0) into 0 18.235 * [backup-simplify]: Simplify (+ 0 0) into 0 18.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.236 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 18.236 * [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 18.236 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 18.237 * [backup-simplify]: Simplify (+ 0 0) into 0 18.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 18.238 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.238 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 18.239 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.239 * [taylor]: Taking taylor expansion of 0 in K 18.239 * [backup-simplify]: Simplify 0 into 0 18.239 * [taylor]: Taking taylor expansion of 0 in J 18.239 * [backup-simplify]: Simplify 0 into 0 18.239 * [backup-simplify]: Simplify 0 into 0 18.239 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.240 * [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 18.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 18.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 18.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.242 * [backup-simplify]: Simplify (- 0) into 0 18.242 * [backup-simplify]: Simplify (+ 0 0) into 0 18.242 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 18.243 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.243 * [taylor]: Taking taylor expansion of 0 in J 18.243 * [backup-simplify]: Simplify 0 into 0 18.243 * [backup-simplify]: Simplify 0 into 0 18.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.244 * [backup-simplify]: Simplify (+ 0) into 0 18.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.244 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.245 * [backup-simplify]: Simplify (- 0) into 0 18.245 * [backup-simplify]: Simplify (+ 0 0) into 0 18.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.246 * [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 18.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 18.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 18.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.248 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.248 * [backup-simplify]: Simplify (- 0) into 0 18.248 * [backup-simplify]: Simplify (+ 0 0) into 0 18.249 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 18.249 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.249 * [backup-simplify]: Simplify 0 into 0 18.250 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.251 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.252 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.252 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.252 * [backup-simplify]: Simplify (- 0) into 0 18.253 * [backup-simplify]: Simplify (+ 0 0) into 0 18.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.253 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 18.254 * [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 18.254 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 18.255 * [backup-simplify]: Simplify (+ 1 0) into 1 18.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 18.257 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.257 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 18.258 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 18.258 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in K 18.258 * [taylor]: Taking taylor expansion of 2/3 in K 18.258 * [backup-simplify]: Simplify 2/3 into 2/3 18.258 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 18.258 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 18.258 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 18.258 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.258 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.258 * [taylor]: Taking taylor expansion of -1/2 in K 18.258 * [backup-simplify]: Simplify -1/2 into -1/2 18.259 * [taylor]: Taking taylor expansion of K in K 18.259 * [backup-simplify]: Simplify 0 into 0 18.259 * [backup-simplify]: Simplify 1 into 1 18.259 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.259 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.259 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 18.259 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 18.259 * [taylor]: Taking taylor expansion of 1/6 in K 18.259 * [backup-simplify]: Simplify 1/6 into 1/6 18.259 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 18.259 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 18.259 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 18.259 * [taylor]: Taking taylor expansion of 1/4 in K 18.259 * [backup-simplify]: Simplify 1/4 into 1/4 18.259 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 18.259 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.259 * [taylor]: Taking taylor expansion of J in K 18.259 * [backup-simplify]: Simplify J into J 18.259 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 18.259 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.259 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.259 * [taylor]: Taking taylor expansion of -1/2 in K 18.259 * [backup-simplify]: Simplify -1/2 into -1/2 18.259 * [taylor]: Taking taylor expansion of K in K 18.259 * [backup-simplify]: Simplify 0 into 0 18.259 * [backup-simplify]: Simplify 1 into 1 18.259 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.260 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.260 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 18.260 * [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))) 18.260 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 18.260 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 18.260 * [taylor]: Taking taylor expansion of 2 in K 18.260 * [backup-simplify]: Simplify 2 into 2 18.260 * [taylor]: Taking taylor expansion of (log U) in K 18.260 * [taylor]: Taking taylor expansion of U in K 18.260 * [backup-simplify]: Simplify U into U 18.260 * [backup-simplify]: Simplify (log U) into (log U) 18.260 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.260 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.261 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.261 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 18.261 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.261 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.261 * [taylor]: Taking taylor expansion of J in K 18.261 * [backup-simplify]: Simplify J into J 18.261 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.261 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 18.261 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.262 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 18.262 * [backup-simplify]: Simplify (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 18.262 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 18.262 * [taylor]: Taking taylor expansion of 2/3 in J 18.262 * [backup-simplify]: Simplify 2/3 into 2/3 18.262 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 18.262 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 18.262 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 18.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.262 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.262 * [taylor]: Taking taylor expansion of -1/2 in J 18.262 * [backup-simplify]: Simplify -1/2 into -1/2 18.262 * [taylor]: Taking taylor expansion of K in J 18.262 * [backup-simplify]: Simplify K into K 18.262 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.262 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.262 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.263 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.263 * [backup-simplify]: Simplify (- 0) into 0 18.263 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.263 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 18.263 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 18.263 * [taylor]: Taking taylor expansion of 1/6 in J 18.263 * [backup-simplify]: Simplify 1/6 into 1/6 18.263 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 18.263 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 18.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 18.263 * [taylor]: Taking taylor expansion of 1/4 in J 18.263 * [backup-simplify]: Simplify 1/4 into 1/4 18.263 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 18.263 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.263 * [taylor]: Taking taylor expansion of J in J 18.263 * [backup-simplify]: Simplify 0 into 0 18.263 * [backup-simplify]: Simplify 1 into 1 18.263 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 18.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.263 * [taylor]: Taking taylor expansion of -1/2 in J 18.263 * [backup-simplify]: Simplify -1/2 into -1/2 18.263 * [taylor]: Taking taylor expansion of K in J 18.263 * [backup-simplify]: Simplify K into K 18.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.263 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.264 * [backup-simplify]: Simplify (- 0) into 0 18.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.264 * [backup-simplify]: Simplify (* 1 1) into 1 18.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.264 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 18.264 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 18.265 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 18.265 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 18.265 * [taylor]: Taking taylor expansion of 2 in J 18.265 * [backup-simplify]: Simplify 2 into 2 18.265 * [taylor]: Taking taylor expansion of (log U) in J 18.265 * [taylor]: Taking taylor expansion of U in J 18.265 * [backup-simplify]: Simplify U into U 18.265 * [backup-simplify]: Simplify (log U) into (log U) 18.265 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 18.265 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 18.265 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 18.265 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 18.266 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 18.266 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 18.266 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.266 * [taylor]: Taking taylor expansion of J in J 18.266 * [backup-simplify]: Simplify 0 into 0 18.266 * [backup-simplify]: Simplify 1 into 1 18.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.266 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 18.266 * [backup-simplify]: Simplify (* 1 1) into 1 18.267 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 18.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.268 * [backup-simplify]: Simplify (+ 0) into 0 18.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.268 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.269 * [backup-simplify]: Simplify (- 0) into 0 18.269 * [backup-simplify]: Simplify (+ 0 0) into 0 18.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.270 * [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 18.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 18.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 18.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 18.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 18.272 * [backup-simplify]: Simplify (- 0) into 0 18.272 * [backup-simplify]: Simplify (+ 0 0) into 0 18.272 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 18.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.276 * [backup-simplify]: Simplify (- 0) into 0 18.277 * [backup-simplify]: Simplify (+ 0 0) into 0 18.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.278 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 18.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 18.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 18.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 18.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 18.284 * [backup-simplify]: Simplify (- 0) into 0 18.285 * [backup-simplify]: Simplify (+ 0 0) into 0 18.286 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 18.287 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.288 * [backup-simplify]: Simplify (+ 0) into 0 18.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.290 * [backup-simplify]: Simplify (- 0) into 0 18.291 * [backup-simplify]: Simplify (+ 0 0) into 0 18.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.292 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.296 * [backup-simplify]: Simplify (- 0) into 0 18.296 * [backup-simplify]: Simplify (+ 0 0) into 0 18.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.298 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 18.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.299 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 18.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 18.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.311 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 18.311 * [backup-simplify]: Simplify 0 into 0 18.311 * [taylor]: Taking taylor expansion of 0 in J 18.311 * [backup-simplify]: Simplify 0 into 0 18.311 * [backup-simplify]: Simplify 0 into 0 18.312 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.313 * [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 18.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 18.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 18.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 18.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 18.319 * [backup-simplify]: Simplify (- 0) into 0 18.320 * [backup-simplify]: Simplify (+ 0 0) into 0 18.321 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 18.323 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.323 * [taylor]: Taking taylor expansion of 0 in J 18.323 * [backup-simplify]: Simplify 0 into 0 18.323 * [backup-simplify]: Simplify 0 into 0 18.323 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 18.323 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 18.324 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 18.324 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 18.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 18.324 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 18.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 18.324 * [taylor]: Taking taylor expansion of 1/4 in J 18.324 * [backup-simplify]: Simplify 1/4 into 1/4 18.324 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 18.324 * [taylor]: Taking taylor expansion of (pow U 2) in J 18.324 * [taylor]: Taking taylor expansion of U in J 18.324 * [backup-simplify]: Simplify U into U 18.324 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 18.324 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 18.324 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.324 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.324 * [taylor]: Taking taylor expansion of 1/2 in J 18.324 * [backup-simplify]: Simplify 1/2 into 1/2 18.324 * [taylor]: Taking taylor expansion of K in J 18.324 * [backup-simplify]: Simplify K into K 18.324 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.324 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.325 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.325 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.325 * [backup-simplify]: Simplify (- 0) into 0 18.325 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.325 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.325 * [taylor]: Taking taylor expansion of J in J 18.325 * [backup-simplify]: Simplify 0 into 0 18.325 * [backup-simplify]: Simplify 1 into 1 18.325 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 18.326 * [backup-simplify]: Simplify (* 1 1) into 1 18.326 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 18.326 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 18.326 * [taylor]: Taking taylor expansion of 1 in J 18.327 * [backup-simplify]: Simplify 1 into 1 18.327 * [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))) 18.327 * [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))) 18.327 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.327 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 18.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.329 * [backup-simplify]: Simplify (+ 0) into 0 18.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.331 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.331 * [backup-simplify]: Simplify (- 0) into 0 18.332 * [backup-simplify]: Simplify (+ 0 0) into 0 18.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 18.332 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 18.333 * [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 18.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 18.334 * [backup-simplify]: Simplify (+ 0 0) into 0 18.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 18.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 18.335 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 18.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 18.335 * [taylor]: Taking taylor expansion of 1/4 in K 18.335 * [backup-simplify]: Simplify 1/4 into 1/4 18.335 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 18.335 * [taylor]: Taking taylor expansion of (pow U 2) in K 18.335 * [taylor]: Taking taylor expansion of U in K 18.335 * [backup-simplify]: Simplify U into U 18.335 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 18.335 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 18.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.335 * [taylor]: Taking taylor expansion of 1/2 in K 18.335 * [backup-simplify]: Simplify 1/2 into 1/2 18.335 * [taylor]: Taking taylor expansion of K in K 18.335 * [backup-simplify]: Simplify 0 into 0 18.335 * [backup-simplify]: Simplify 1 into 1 18.335 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.336 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.336 * [taylor]: Taking taylor expansion of J in K 18.336 * [backup-simplify]: Simplify J into J 18.336 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.337 * [backup-simplify]: Simplify (* 1 1) into 1 18.337 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.337 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 18.337 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 18.337 * [taylor]: Taking taylor expansion of 1 in K 18.337 * [backup-simplify]: Simplify 1 into 1 18.338 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 18.338 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 18.338 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 18.338 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 18.338 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.339 * [backup-simplify]: Simplify (+ 0) into 0 18.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 18.341 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 18.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 18.342 * [backup-simplify]: Simplify (+ 0 0) into 0 18.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 18.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 18.342 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 18.342 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 18.342 * [taylor]: Taking taylor expansion of 1/4 in U 18.342 * [backup-simplify]: Simplify 1/4 into 1/4 18.342 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 18.342 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.342 * [taylor]: Taking taylor expansion of U in U 18.342 * [backup-simplify]: Simplify 0 into 0 18.342 * [backup-simplify]: Simplify 1 into 1 18.342 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 18.342 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 18.342 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.342 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.342 * [taylor]: Taking taylor expansion of 1/2 in U 18.342 * [backup-simplify]: Simplify 1/2 into 1/2 18.342 * [taylor]: Taking taylor expansion of K in U 18.343 * [backup-simplify]: Simplify K into K 18.343 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.343 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.343 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.343 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.343 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.343 * [backup-simplify]: Simplify (- 0) into 0 18.343 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.343 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.343 * [taylor]: Taking taylor expansion of J in U 18.344 * [backup-simplify]: Simplify J into J 18.344 * [backup-simplify]: Simplify (* 1 1) into 1 18.344 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 18.344 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.344 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 18.345 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.345 * [taylor]: Taking taylor expansion of 1 in U 18.345 * [backup-simplify]: Simplify 1 into 1 18.345 * [backup-simplify]: Simplify (+ 0 1) into 1 18.346 * [backup-simplify]: Simplify (sqrt 1) into 1 18.346 * [backup-simplify]: Simplify (+ 0 0) into 0 18.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.347 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 18.347 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 18.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 18.347 * [taylor]: Taking taylor expansion of 1/4 in U 18.347 * [backup-simplify]: Simplify 1/4 into 1/4 18.347 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 18.347 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.347 * [taylor]: Taking taylor expansion of U in U 18.347 * [backup-simplify]: Simplify 0 into 0 18.347 * [backup-simplify]: Simplify 1 into 1 18.347 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 18.347 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 18.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.347 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.347 * [taylor]: Taking taylor expansion of 1/2 in U 18.347 * [backup-simplify]: Simplify 1/2 into 1/2 18.347 * [taylor]: Taking taylor expansion of K in U 18.347 * [backup-simplify]: Simplify K into K 18.347 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.347 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.348 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.348 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.348 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.348 * [backup-simplify]: Simplify (- 0) into 0 18.348 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.348 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.348 * [taylor]: Taking taylor expansion of J in U 18.348 * [backup-simplify]: Simplify J into J 18.349 * [backup-simplify]: Simplify (* 1 1) into 1 18.349 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 18.349 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.349 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 18.349 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.349 * [taylor]: Taking taylor expansion of 1 in U 18.349 * [backup-simplify]: Simplify 1 into 1 18.350 * [backup-simplify]: Simplify (+ 0 1) into 1 18.350 * [backup-simplify]: Simplify (sqrt 1) into 1 18.350 * [backup-simplify]: Simplify (+ 0 0) into 0 18.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.351 * [taylor]: Taking taylor expansion of 1 in K 18.351 * [backup-simplify]: Simplify 1 into 1 18.351 * [taylor]: Taking taylor expansion of 1 in J 18.351 * [backup-simplify]: Simplify 1 into 1 18.351 * [taylor]: Taking taylor expansion of 0 in K 18.351 * [backup-simplify]: Simplify 0 into 0 18.351 * [taylor]: Taking taylor expansion of 0 in J 18.351 * [backup-simplify]: Simplify 0 into 0 18.351 * [taylor]: Taking taylor expansion of 0 in J 18.351 * [backup-simplify]: Simplify 0 into 0 18.351 * [backup-simplify]: Simplify 1 into 1 18.351 * [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))) 18.351 * [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)))) 18.352 * [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))) 18.352 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 18.352 * [taylor]: Taking taylor expansion of 1/8 in K 18.352 * [backup-simplify]: Simplify 1/8 into 1/8 18.352 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 18.352 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 18.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.352 * [taylor]: Taking taylor expansion of 1/2 in K 18.352 * [backup-simplify]: Simplify 1/2 into 1/2 18.352 * [taylor]: Taking taylor expansion of K in K 18.352 * [backup-simplify]: Simplify 0 into 0 18.352 * [backup-simplify]: Simplify 1 into 1 18.353 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.353 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.353 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.353 * [taylor]: Taking taylor expansion of J in K 18.353 * [backup-simplify]: Simplify J into J 18.353 * [backup-simplify]: Simplify (* 1 1) into 1 18.353 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.354 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 18.354 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 18.354 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 18.354 * [taylor]: Taking taylor expansion of 1/8 in J 18.354 * [backup-simplify]: Simplify 1/8 into 1/8 18.354 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.354 * [taylor]: Taking taylor expansion of J in J 18.354 * [backup-simplify]: Simplify 0 into 0 18.354 * [backup-simplify]: Simplify 1 into 1 18.354 * [backup-simplify]: Simplify (* 1 1) into 1 18.354 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 18.355 * [backup-simplify]: Simplify 0 into 0 18.355 * [taylor]: Taking taylor expansion of 0 in J 18.355 * [backup-simplify]: Simplify 0 into 0 18.355 * [taylor]: Taking taylor expansion of 0 in J 18.355 * [backup-simplify]: Simplify 0 into 0 18.355 * [backup-simplify]: Simplify 0 into 0 18.355 * [backup-simplify]: Simplify 0 into 0 18.355 * [backup-simplify]: Simplify 0 into 0 18.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.356 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.356 * [backup-simplify]: Simplify (+ 0) into 0 18.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.357 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.358 * [backup-simplify]: Simplify (- 0) into 0 18.358 * [backup-simplify]: Simplify (+ 0 0) into 0 18.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 18.358 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 18.359 * [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 18.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 18.360 * [backup-simplify]: Simplify (+ 0 0) into 0 18.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 18.360 * [taylor]: Taking taylor expansion of 0 in K 18.360 * [backup-simplify]: Simplify 0 into 0 18.360 * [taylor]: Taking taylor expansion of 0 in J 18.360 * [backup-simplify]: Simplify 0 into 0 18.360 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.360 * [backup-simplify]: Simplify (+ 0) into 0 18.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 18.361 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 18.361 * [taylor]: Taking taylor expansion of 0 in J 18.361 * [backup-simplify]: Simplify 0 into 0 18.361 * [taylor]: Taking taylor expansion of 0 in J 18.361 * [backup-simplify]: Simplify 0 into 0 18.361 * [taylor]: Taking taylor expansion of 0 in J 18.361 * [backup-simplify]: Simplify 0 into 0 18.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.363 * [backup-simplify]: Simplify 0 into 0 18.363 * [backup-simplify]: Simplify 0 into 0 18.363 * [backup-simplify]: Simplify 1 into 1 18.363 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J))) (/ (/ (/ 1 U) (cos (/ (/ 1 K) 2))) (* 2 (/ 1 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 18.363 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 18.363 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 18.363 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 18.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 18.363 * [taylor]: Taking taylor expansion of 1/4 in J 18.363 * [backup-simplify]: Simplify 1/4 into 1/4 18.363 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 18.363 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.363 * [taylor]: Taking taylor expansion of J in J 18.363 * [backup-simplify]: Simplify 0 into 0 18.363 * [backup-simplify]: Simplify 1 into 1 18.363 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 18.363 * [taylor]: Taking taylor expansion of (pow U 2) in J 18.363 * [taylor]: Taking taylor expansion of U in J 18.363 * [backup-simplify]: Simplify U into U 18.363 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 18.363 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.363 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.363 * [taylor]: Taking taylor expansion of 1/2 in J 18.363 * [backup-simplify]: Simplify 1/2 into 1/2 18.363 * [taylor]: Taking taylor expansion of K in J 18.363 * [backup-simplify]: Simplify K into K 18.363 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.364 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.364 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.364 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.364 * [backup-simplify]: Simplify (- 0) into 0 18.364 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.364 * [backup-simplify]: Simplify (* 1 1) into 1 18.364 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.365 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 18.365 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 18.365 * [taylor]: Taking taylor expansion of 1 in J 18.365 * [backup-simplify]: Simplify 1 into 1 18.365 * [backup-simplify]: Simplify (+ 0 1) into 1 18.365 * [backup-simplify]: Simplify (sqrt 1) into 1 18.365 * [backup-simplify]: Simplify (+ 0 0) into 0 18.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.366 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 18.366 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 18.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 18.366 * [taylor]: Taking taylor expansion of 1/4 in K 18.366 * [backup-simplify]: Simplify 1/4 into 1/4 18.366 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 18.366 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.366 * [taylor]: Taking taylor expansion of J in K 18.366 * [backup-simplify]: Simplify J into J 18.366 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 18.366 * [taylor]: Taking taylor expansion of (pow U 2) in K 18.366 * [taylor]: Taking taylor expansion of U in K 18.366 * [backup-simplify]: Simplify U into U 18.366 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 18.366 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.366 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.366 * [taylor]: Taking taylor expansion of 1/2 in K 18.366 * [backup-simplify]: Simplify 1/2 into 1/2 18.366 * [taylor]: Taking taylor expansion of K in K 18.366 * [backup-simplify]: Simplify 0 into 0 18.366 * [backup-simplify]: Simplify 1 into 1 18.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.367 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.367 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.367 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.367 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.367 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 18.367 * [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))) 18.367 * [taylor]: Taking taylor expansion of 1 in K 18.367 * [backup-simplify]: Simplify 1 into 1 18.367 * [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)))) 18.368 * [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) 18.368 * [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)) 18.368 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.368 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 18.368 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 18.369 * [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 18.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 18.369 * [backup-simplify]: Simplify (+ 0 0) into 0 18.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 18.370 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 18.370 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 18.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 18.370 * [taylor]: Taking taylor expansion of 1/4 in U 18.370 * [backup-simplify]: Simplify 1/4 into 1/4 18.370 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 18.370 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.370 * [taylor]: Taking taylor expansion of J in U 18.370 * [backup-simplify]: Simplify J into J 18.370 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 18.370 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.370 * [taylor]: Taking taylor expansion of U in U 18.370 * [backup-simplify]: Simplify 0 into 0 18.370 * [backup-simplify]: Simplify 1 into 1 18.370 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 18.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.370 * [taylor]: Taking taylor expansion of 1/2 in U 18.370 * [backup-simplify]: Simplify 1/2 into 1/2 18.370 * [taylor]: Taking taylor expansion of K in U 18.370 * [backup-simplify]: Simplify K into K 18.370 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.370 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.370 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.370 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.370 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.371 * [backup-simplify]: Simplify (- 0) into 0 18.371 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.371 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.371 * [backup-simplify]: Simplify (* 1 1) into 1 18.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.371 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 18.371 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 18.371 * [taylor]: Taking taylor expansion of 1 in U 18.371 * [backup-simplify]: Simplify 1 into 1 18.371 * [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))) 18.372 * [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))) 18.372 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.372 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.372 * [backup-simplify]: Simplify (+ 0) into 0 18.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.374 * [backup-simplify]: Simplify (- 0) into 0 18.374 * [backup-simplify]: Simplify (+ 0 0) into 0 18.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 18.375 * [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 18.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 18.376 * [backup-simplify]: Simplify (+ 0 0) into 0 18.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 18.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 18.376 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 18.376 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 18.376 * [taylor]: Taking taylor expansion of 1/4 in U 18.376 * [backup-simplify]: Simplify 1/4 into 1/4 18.376 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 18.376 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.376 * [taylor]: Taking taylor expansion of J in U 18.376 * [backup-simplify]: Simplify J into J 18.376 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 18.376 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.376 * [taylor]: Taking taylor expansion of U in U 18.376 * [backup-simplify]: Simplify 0 into 0 18.376 * [backup-simplify]: Simplify 1 into 1 18.376 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 18.376 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.376 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.376 * [taylor]: Taking taylor expansion of 1/2 in U 18.376 * [backup-simplify]: Simplify 1/2 into 1/2 18.376 * [taylor]: Taking taylor expansion of K in U 18.376 * [backup-simplify]: Simplify K into K 18.376 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.376 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.376 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.376 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.376 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.377 * [backup-simplify]: Simplify (- 0) into 0 18.377 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.377 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.377 * [backup-simplify]: Simplify (* 1 1) into 1 18.377 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.377 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 18.378 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 18.378 * [taylor]: Taking taylor expansion of 1 in U 18.378 * [backup-simplify]: Simplify 1 into 1 18.378 * [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))) 18.378 * [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))) 18.379 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.379 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.379 * [backup-simplify]: Simplify (+ 0) into 0 18.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.381 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.382 * [backup-simplify]: Simplify (- 0) into 0 18.382 * [backup-simplify]: Simplify (+ 0 0) into 0 18.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 18.384 * [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 18.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 18.385 * [backup-simplify]: Simplify (+ 0 0) into 0 18.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 18.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 18.386 * [taylor]: Taking taylor expansion of 1/2 in K 18.386 * [backup-simplify]: Simplify 1/2 into 1/2 18.386 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 18.386 * [taylor]: Taking taylor expansion of J in K 18.386 * [backup-simplify]: Simplify J into J 18.386 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.386 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.386 * [taylor]: Taking taylor expansion of 1/2 in K 18.386 * [backup-simplify]: Simplify 1/2 into 1/2 18.386 * [taylor]: Taking taylor expansion of K in K 18.386 * [backup-simplify]: Simplify 0 into 0 18.386 * [backup-simplify]: Simplify 1 into 1 18.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.387 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.387 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 18.387 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 18.387 * [taylor]: Taking taylor expansion of 1/2 in J 18.387 * [backup-simplify]: Simplify 1/2 into 1/2 18.387 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 18.387 * [taylor]: Taking taylor expansion of J in J 18.387 * [backup-simplify]: Simplify 0 into 0 18.387 * [backup-simplify]: Simplify 1 into 1 18.387 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.387 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.387 * [taylor]: Taking taylor expansion of 1/2 in J 18.387 * [backup-simplify]: Simplify 1/2 into 1/2 18.387 * [taylor]: Taking taylor expansion of K in J 18.387 * [backup-simplify]: Simplify K into K 18.387 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.387 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.387 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.388 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.388 * [backup-simplify]: Simplify (- 0) into 0 18.388 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.388 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 18.388 * [taylor]: Taking taylor expansion of 0 in K 18.388 * [backup-simplify]: Simplify 0 into 0 18.388 * [taylor]: Taking taylor expansion of 0 in J 18.388 * [backup-simplify]: Simplify 0 into 0 18.388 * [backup-simplify]: Simplify 0 into 0 18.389 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 18.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 18.389 * [taylor]: Taking taylor expansion of 0 in J 18.389 * [backup-simplify]: Simplify 0 into 0 18.389 * [backup-simplify]: Simplify 0 into 0 18.389 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 18.390 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 18.390 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.392 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.394 * [backup-simplify]: Simplify (- 0) into 0 18.394 * [backup-simplify]: Simplify (+ 0 0) into 0 18.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 18.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 18.397 * [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 18.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 18.399 * [backup-simplify]: Simplify (+ 0 1) into 1 18.400 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 18.400 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 18.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.400 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.400 * [taylor]: Taking taylor expansion of 1/2 in K 18.400 * [backup-simplify]: Simplify 1/2 into 1/2 18.400 * [taylor]: Taking taylor expansion of K in K 18.400 * [backup-simplify]: Simplify 0 into 0 18.400 * [backup-simplify]: Simplify 1 into 1 18.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.401 * [taylor]: Taking taylor expansion of J in K 18.401 * [backup-simplify]: Simplify J into J 18.401 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 18.401 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 18.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.401 * [taylor]: Taking taylor expansion of 1/2 in J 18.401 * [backup-simplify]: Simplify 1/2 into 1/2 18.401 * [taylor]: Taking taylor expansion of K in J 18.401 * [backup-simplify]: Simplify K into K 18.401 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.401 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.401 * [taylor]: Taking taylor expansion of J in J 18.401 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify 1 into 1 18.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.401 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.402 * [backup-simplify]: Simplify (- 0) into 0 18.402 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.402 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.403 * [backup-simplify]: Simplify (+ 0) into 0 18.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.405 * [backup-simplify]: Simplify (- 0) into 0 18.406 * [backup-simplify]: Simplify (+ 0 0) into 0 18.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 18.407 * [backup-simplify]: Simplify 0 into 0 18.407 * [taylor]: Taking taylor expansion of 0 in J 18.407 * [backup-simplify]: Simplify 0 into 0 18.407 * [backup-simplify]: Simplify 0 into 0 18.407 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 18.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 18.408 * [taylor]: Taking taylor expansion of 0 in J 18.408 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify 0 into 0 18.409 * [backup-simplify]: Simplify (+ 0) into 0 18.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.410 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.411 * [backup-simplify]: Simplify (- 0) into 0 18.411 * [backup-simplify]: Simplify (+ 0 0) into 0 18.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 18.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 18.412 * [backup-simplify]: Simplify 0 into 0 18.412 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 18.413 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J)))) (/ (/ (/ 1 (- U)) (cos (/ (/ 1 (- K)) 2))) (* 2 (/ 1 (- J))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 18.413 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 18.413 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 18.413 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 18.413 * [taylor]: Taking taylor expansion of 1 in J 18.413 * [backup-simplify]: Simplify 1 into 1 18.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 18.413 * [taylor]: Taking taylor expansion of 1/4 in J 18.413 * [backup-simplify]: Simplify 1/4 into 1/4 18.413 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 18.413 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.413 * [taylor]: Taking taylor expansion of J in J 18.413 * [backup-simplify]: Simplify 0 into 0 18.414 * [backup-simplify]: Simplify 1 into 1 18.414 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 18.414 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 18.414 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.414 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.414 * [taylor]: Taking taylor expansion of -1/2 in J 18.414 * [backup-simplify]: Simplify -1/2 into -1/2 18.414 * [taylor]: Taking taylor expansion of K in J 18.414 * [backup-simplify]: Simplify K into K 18.414 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.414 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.414 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.414 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.415 * [backup-simplify]: Simplify (- 0) into 0 18.415 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.415 * [taylor]: Taking taylor expansion of (pow U 2) in J 18.415 * [taylor]: Taking taylor expansion of U in J 18.415 * [backup-simplify]: Simplify U into U 18.415 * [backup-simplify]: Simplify (* 1 1) into 1 18.415 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.415 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.416 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 18.416 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 18.416 * [backup-simplify]: Simplify (+ 1 0) into 1 18.417 * [backup-simplify]: Simplify (sqrt 1) into 1 18.417 * [backup-simplify]: Simplify (+ 0 0) into 0 18.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.418 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 18.418 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 18.418 * [taylor]: Taking taylor expansion of 1 in K 18.418 * [backup-simplify]: Simplify 1 into 1 18.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 18.418 * [taylor]: Taking taylor expansion of 1/4 in K 18.418 * [backup-simplify]: Simplify 1/4 into 1/4 18.418 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 18.418 * [taylor]: Taking taylor expansion of (pow J 2) in K 18.418 * [taylor]: Taking taylor expansion of J in K 18.418 * [backup-simplify]: Simplify J into J 18.418 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 18.418 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 18.418 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.418 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.418 * [taylor]: Taking taylor expansion of -1/2 in K 18.418 * [backup-simplify]: Simplify -1/2 into -1/2 18.418 * [taylor]: Taking taylor expansion of K in K 18.418 * [backup-simplify]: Simplify 0 into 0 18.418 * [backup-simplify]: Simplify 1 into 1 18.419 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.419 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.419 * [taylor]: Taking taylor expansion of (pow U 2) in K 18.419 * [taylor]: Taking taylor expansion of U in K 18.419 * [backup-simplify]: Simplify U into U 18.419 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.419 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.419 * [backup-simplify]: Simplify (* U U) into (pow U 2) 18.419 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 18.420 * [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))) 18.420 * [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)))) 18.420 * [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))))) 18.421 * [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)))))) 18.421 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.421 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 18.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.421 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 18.422 * [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 18.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 18.423 * [backup-simplify]: Simplify (+ 0 0) into 0 18.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 18.424 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 18.424 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 18.424 * [taylor]: Taking taylor expansion of 1 in U 18.424 * [backup-simplify]: Simplify 1 into 1 18.424 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 18.424 * [taylor]: Taking taylor expansion of 1/4 in U 18.424 * [backup-simplify]: Simplify 1/4 into 1/4 18.424 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 18.424 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.424 * [taylor]: Taking taylor expansion of J in U 18.424 * [backup-simplify]: Simplify J into J 18.424 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 18.424 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 18.424 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.424 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.424 * [taylor]: Taking taylor expansion of -1/2 in U 18.424 * [backup-simplify]: Simplify -1/2 into -1/2 18.424 * [taylor]: Taking taylor expansion of K in U 18.424 * [backup-simplify]: Simplify K into K 18.424 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.425 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.425 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.425 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.425 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.425 * [backup-simplify]: Simplify (- 0) into 0 18.425 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.425 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.425 * [taylor]: Taking taylor expansion of U in U 18.426 * [backup-simplify]: Simplify 0 into 0 18.426 * [backup-simplify]: Simplify 1 into 1 18.426 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.426 * [backup-simplify]: Simplify (* 1 1) into 1 18.426 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 18.427 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 18.427 * [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))) 18.427 * [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))) 18.427 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.428 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.429 * [backup-simplify]: Simplify (+ 0) into 0 18.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.429 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.431 * [backup-simplify]: Simplify (- 0) into 0 18.431 * [backup-simplify]: Simplify (+ 0 0) into 0 18.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.432 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 18.432 * [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 18.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 18.434 * [backup-simplify]: Simplify (+ 0 0) into 0 18.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 18.434 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 18.434 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 18.434 * [taylor]: Taking taylor expansion of 1 in U 18.434 * [backup-simplify]: Simplify 1 into 1 18.434 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 18.434 * [taylor]: Taking taylor expansion of 1/4 in U 18.434 * [backup-simplify]: Simplify 1/4 into 1/4 18.434 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 18.434 * [taylor]: Taking taylor expansion of (pow J 2) in U 18.434 * [taylor]: Taking taylor expansion of J in U 18.434 * [backup-simplify]: Simplify J into J 18.434 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 18.434 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 18.434 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.434 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.434 * [taylor]: Taking taylor expansion of -1/2 in U 18.434 * [backup-simplify]: Simplify -1/2 into -1/2 18.434 * [taylor]: Taking taylor expansion of K in U 18.434 * [backup-simplify]: Simplify K into K 18.434 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.435 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.435 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.435 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.435 * [backup-simplify]: Simplify (- 0) into 0 18.435 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.435 * [taylor]: Taking taylor expansion of (pow U 2) in U 18.435 * [taylor]: Taking taylor expansion of U in U 18.435 * [backup-simplify]: Simplify 0 into 0 18.435 * [backup-simplify]: Simplify 1 into 1 18.435 * [backup-simplify]: Simplify (* J J) into (pow J 2) 18.436 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.436 * [backup-simplify]: Simplify (* 1 1) into 1 18.436 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 18.436 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 18.437 * [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))) 18.437 * [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))) 18.437 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.437 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 18.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.438 * [backup-simplify]: Simplify (+ 0) into 0 18.438 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.439 * [backup-simplify]: Simplify (- 0) into 0 18.440 * [backup-simplify]: Simplify (+ 0 0) into 0 18.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 18.440 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 18.440 * [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))))) into 0 18.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 18.441 * [backup-simplify]: Simplify (+ 0 0) into 0 18.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 18.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 18.441 * [taylor]: Taking taylor expansion of 1/2 in K 18.441 * [backup-simplify]: Simplify 1/2 into 1/2 18.441 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 18.441 * [taylor]: Taking taylor expansion of J in K 18.441 * [backup-simplify]: Simplify J into J 18.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.442 * [taylor]: Taking taylor expansion of -1/2 in K 18.442 * [backup-simplify]: Simplify -1/2 into -1/2 18.442 * [taylor]: Taking taylor expansion of K in K 18.442 * [backup-simplify]: Simplify 0 into 0 18.442 * [backup-simplify]: Simplify 1 into 1 18.442 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.442 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 18.442 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 18.442 * [taylor]: Taking taylor expansion of 1/2 in J 18.442 * [backup-simplify]: Simplify 1/2 into 1/2 18.442 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 18.442 * [taylor]: Taking taylor expansion of J in J 18.442 * [backup-simplify]: Simplify 0 into 0 18.442 * [backup-simplify]: Simplify 1 into 1 18.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.442 * [taylor]: Taking taylor expansion of -1/2 in J 18.442 * [backup-simplify]: Simplify -1/2 into -1/2 18.442 * [taylor]: Taking taylor expansion of K in J 18.442 * [backup-simplify]: Simplify K into K 18.442 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.442 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.443 * [backup-simplify]: Simplify (- 0) into 0 18.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.443 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 18.443 * [taylor]: Taking taylor expansion of 0 in K 18.443 * [backup-simplify]: Simplify 0 into 0 18.443 * [taylor]: Taking taylor expansion of 0 in J 18.443 * [backup-simplify]: Simplify 0 into 0 18.443 * [backup-simplify]: Simplify 0 into 0 18.443 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 18.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 18.443 * [taylor]: Taking taylor expansion of 0 in J 18.443 * [backup-simplify]: Simplify 0 into 0 18.444 * [backup-simplify]: Simplify 0 into 0 18.444 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 18.444 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 18.444 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 18.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.450 * [backup-simplify]: Simplify (- 0) into 0 18.451 * [backup-simplify]: Simplify (+ 0 0) into 0 18.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 18.451 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 18.452 * [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 18.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 18.453 * [backup-simplify]: Simplify (+ 1 0) into 1 18.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 18.453 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 18.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.453 * [taylor]: Taking taylor expansion of -1/2 in K 18.453 * [backup-simplify]: Simplify -1/2 into -1/2 18.453 * [taylor]: Taking taylor expansion of K in K 18.453 * [backup-simplify]: Simplify 0 into 0 18.454 * [backup-simplify]: Simplify 1 into 1 18.454 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.454 * [taylor]: Taking taylor expansion of J in K 18.454 * [backup-simplify]: Simplify J into J 18.454 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 18.454 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 18.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.454 * [taylor]: Taking taylor expansion of -1/2 in J 18.454 * [backup-simplify]: Simplify -1/2 into -1/2 18.454 * [taylor]: Taking taylor expansion of K in J 18.454 * [backup-simplify]: Simplify K into K 18.454 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.454 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.454 * [taylor]: Taking taylor expansion of J in J 18.454 * [backup-simplify]: Simplify 0 into 0 18.454 * [backup-simplify]: Simplify 1 into 1 18.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.454 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.455 * [backup-simplify]: Simplify (- 0) into 0 18.455 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.455 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.455 * [backup-simplify]: Simplify (+ 0) into 0 18.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.456 * [backup-simplify]: Simplify (- 0) into 0 18.457 * [backup-simplify]: Simplify (+ 0 0) into 0 18.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 18.457 * [backup-simplify]: Simplify 0 into 0 18.457 * [taylor]: Taking taylor expansion of 0 in J 18.457 * [backup-simplify]: Simplify 0 into 0 18.457 * [backup-simplify]: Simplify 0 into 0 18.457 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 18.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 18.458 * [taylor]: Taking taylor expansion of 0 in J 18.458 * [backup-simplify]: Simplify 0 into 0 18.458 * [backup-simplify]: Simplify 0 into 0 18.458 * [backup-simplify]: Simplify 0 into 0 18.458 * [backup-simplify]: Simplify 0 into 0 18.458 * [backup-simplify]: Simplify (+ 0) into 0 18.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.460 * [backup-simplify]: Simplify (- 0) into 0 18.460 * [backup-simplify]: Simplify (+ 0 0) into 0 18.460 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 18.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 18.461 * [backup-simplify]: Simplify 0 into 0 18.461 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 18.461 * * * [progress]: simplifying candidates 18.461 * * * * [progress]: [ 1 / 79 ] simplifiying candidate # 18.461 * * * * [progress]: [ 2 / 79 ] simplifiying candidate # 18.461 * * * * [progress]: [ 3 / 79 ] simplifiying candidate # 18.461 * * * * [progress]: [ 4 / 79 ] simplifiying candidate # 18.461 * * * * [progress]: [ 5 / 79 ] simplifiying candidate # 18.461 * * * * [progress]: [ 6 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 7 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 8 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 9 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 10 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 11 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 12 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 13 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 14 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 15 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 16 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 17 / 79 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))))> 18.462 * * * * [progress]: [ 18 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 19 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 20 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 21 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 22 / 79 ] simplifiying candidate # 18.462 * * * * [progress]: [ 23 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 24 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 25 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 26 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 27 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 28 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 29 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 30 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 31 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 32 / 79 ] simplifiying candidate # 18.463 * * * * [progress]: [ 33 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 34 / 79 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))> 18.464 * * * * [progress]: [ 35 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 36 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 37 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 38 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 39 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 40 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 41 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 42 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 43 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 44 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 45 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 46 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 47 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 48 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 49 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 50 / 79 ] simplifiying candidate # 18.464 * * * * [progress]: [ 51 / 79 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))> 18.464 * * * * [progress]: [ 52 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 53 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 54 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 55 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 56 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 57 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 58 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 59 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 60 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 61 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 62 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 63 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 64 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 65 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 66 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 67 / 79 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))))> 18.465 * * * * [progress]: [ 68 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 69 / 79 ] simplifiying candidate # 18.465 * * * * [progress]: [ 70 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 71 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 72 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 73 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 74 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 75 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 76 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 77 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 78 / 79 ] simplifiying candidate # 18.466 * * * * [progress]: [ 79 / 79 ] simplifiying candidate # 18.467 * [simplify]: Simplifying: (log (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) 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(/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 18.469 * * [simplify]: iteration 0: 91 enodes 18.501 * * [simplify]: iteration 1: 174 enodes 18.566 * * [simplify]: iteration 2: 461 enodes 18.848 * * [simplify]: iteration 3: 2005 enodes 20.167 * * [simplify]: iteration complete: 5004 enodes 20.167 * * [simplify]: Extracting #0: cost 33 inf + 0 20.168 * * [simplify]: Extracting #1: cost 146 inf + 2 20.169 * * [simplify]: Extracting #2: cost 357 inf + 175 20.175 * * [simplify]: Extracting #3: cost 974 inf + 3809 20.185 * * [simplify]: Extracting #4: cost 1669 inf + 14283 20.195 * * [simplify]: Extracting #5: cost 1538 inf + 41533 20.237 * * [simplify]: Extracting #6: cost 1024 inf + 184640 20.350 * * [simplify]: Extracting #7: cost 269 inf + 418410 20.488 * * [simplify]: Extracting #8: cost 44 inf + 500007 20.660 * * [simplify]: Extracting #9: cost 3 inf + 519108 20.829 * * [simplify]: Extracting #10: cost 1 inf + 519095 20.938 * * [simplify]: Extracting #11: cost 0 inf + 520018 21.048 * * [simplify]: Extracting #12: cost 0 inf + 519948 21.205 * [simplify]: Simplified to: (log (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (exp (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (cbrt (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) 1 (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 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1/6 (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ (/ 1/4 (cos (/ K 2))) (cos (/ K 2))))))) 1 (exp (* 1/6 (+ (- (log (/ (/ 1/4 (cos (/ K 2))) (cos (/ K 2)))) (* 2 (log J))) (* (log U) 2)))) (exp (* 1/6 (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ (/ 1/4 (cos (/ K 2))) (cos (/ K 2))))))) 1 (exp (* 1/6 (+ (- (log (/ (/ 1/4 (cos (/ K 2))) (cos (/ K 2)))) (* 2 (log J))) (* (log U) 2)))) (exp (* 1/6 (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ (/ 1/4 (cos (/ K 2))) (cos (/ K 2))))))) 1 (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J) 21.230 * * * [progress]: adding candidates to table 21.905 * [progress]: [Phase 3 of 3] Extracting. 21.905 * * [regime]: Finding splitpoints for: (# # # # # # # #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> #) 21.909 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 21.909 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> #) 21.999 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> #) 22.105 * * * * [regimes]: Trying to branch on U from (# # # # # # # #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> #) 22.199 * * * * [regimes]: Trying to branch on K from (# # # # # # # #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> #) 22.297 * * * * [regimes]: Trying to branch on J from (# # # # # # # #real (real->posit16 (/ U (cos (/ K 2))))) (* 2 J))) 1))))> #) 22.392 * * * [regime]: Found split indices: #