40.546 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.120 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.127 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.127 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.128 * * [simplify]: iteration 0: 17 enodes 0.159 * * [simplify]: iteration 1: 36 enodes 0.167 * * [simplify]: iteration 2: 81 enodes 0.192 * * [simplify]: iteration 3: 215 enodes 0.280 * * [simplify]: iteration 4: 782 enodes 1.159 * * [simplify]: iteration 5: 4486 enodes 2.076 * * [simplify]: iteration complete: 5025 enodes 2.076 * * [simplify]: Extracting #0: cost 1 inf + 0 2.077 * * [simplify]: Extracting #1: cost 124 inf + 0 2.077 * * [simplify]: Extracting #2: cost 173 inf + 296 2.078 * * [simplify]: Extracting #3: cost 158 inf + 1011 2.080 * * [simplify]: Extracting #4: cost 582 inf + 1097 2.086 * * [simplify]: Extracting #5: cost 1581 inf + 5116 2.117 * * [simplify]: Extracting #6: cost 997 inf + 145004 2.224 * * [simplify]: Extracting #7: cost 218 inf + 357472 2.340 * * [simplify]: Extracting #8: cost 40 inf + 456353 2.462 * * [simplify]: Extracting #9: cost 0 inf + 482281 2.577 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 2.582 * * [progress]: iteration 1 / 4 2.582 * * * [progress]: picking best candidate 2.586 * * * * [pick]: Picked # 2.586 * * * [progress]: localizing error 2.637 * * * [progress]: generating rewritten candidates 2.637 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.796 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.862 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.888 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.916 * * * [progress]: generating series expansions 2.916 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.916 * [backup-simplify]: Simplify (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 2.916 * [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 2.916 * [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 2.916 * [taylor]: Taking taylor expansion of -2 in U 2.916 * [backup-simplify]: Simplify -2 into -2 2.916 * [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 2.916 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.916 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.916 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.916 * [taylor]: Taking taylor expansion of 1/2 in U 2.916 * [backup-simplify]: Simplify 1/2 into 1/2 2.916 * [taylor]: Taking taylor expansion of K in U 2.916 * [backup-simplify]: Simplify K into K 2.916 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.916 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.916 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.916 * [taylor]: Taking taylor expansion of J in U 2.916 * [backup-simplify]: Simplify J into J 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.916 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.917 * [taylor]: Taking taylor expansion of 1/4 in U 2.917 * [backup-simplify]: Simplify 1/4 into 1/4 2.917 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.917 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.917 * [taylor]: Taking taylor expansion of U in U 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.917 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.917 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.917 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.917 * [taylor]: Taking taylor expansion of 1/2 in U 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of K in U 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 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.918 * [taylor]: Taking taylor expansion of J in U 2.918 * [backup-simplify]: Simplify J into J 2.918 * [backup-simplify]: Simplify (* 1 1) into 1 2.918 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.918 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.918 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.918 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.918 * [taylor]: Taking taylor expansion of 1 in U 2.918 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (+ 0 1) into 1 2.919 * [backup-simplify]: Simplify (sqrt 1) into 1 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.920 * [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 2.920 * [taylor]: Taking taylor expansion of -2 in K 2.920 * [backup-simplify]: Simplify -2 into -2 2.920 * [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 2.920 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.920 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.920 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.920 * [taylor]: Taking taylor expansion of 1/2 in K 2.920 * [backup-simplify]: Simplify 1/2 into 1/2 2.920 * [taylor]: Taking taylor expansion of K in K 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.921 * [taylor]: Taking taylor expansion of J in K 2.921 * [backup-simplify]: Simplify J into J 2.921 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.921 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.921 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.921 * [taylor]: Taking taylor expansion of 1/4 in K 2.921 * [backup-simplify]: Simplify 1/4 into 1/4 2.921 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.921 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.921 * [taylor]: Taking taylor expansion of U in K 2.921 * [backup-simplify]: Simplify U into U 2.921 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.921 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.921 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.921 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.921 * [taylor]: Taking taylor expansion of 1/2 in K 2.921 * [backup-simplify]: Simplify 1/2 into 1/2 2.921 * [taylor]: Taking taylor expansion of K in K 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.922 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.922 * [taylor]: Taking taylor expansion of J in K 2.922 * [backup-simplify]: Simplify J into J 2.922 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.922 * [backup-simplify]: Simplify (* 1 1) into 1 2.922 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.922 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.922 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.922 * [taylor]: Taking taylor expansion of 1 in K 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.922 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.923 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.923 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.923 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.923 * [backup-simplify]: Simplify (+ 0) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.924 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.925 * [backup-simplify]: Simplify (+ 0 0) into 0 2.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.925 * [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 2.925 * [taylor]: Taking taylor expansion of -2 in J 2.925 * [backup-simplify]: Simplify -2 into -2 2.925 * [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 2.925 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.925 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.925 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.925 * [taylor]: Taking taylor expansion of 1/2 in J 2.926 * [backup-simplify]: Simplify 1/2 into 1/2 2.926 * [taylor]: Taking taylor expansion of K in J 2.926 * [backup-simplify]: Simplify K into K 2.926 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.926 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.926 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.926 * [taylor]: Taking taylor expansion of J in J 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.926 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.926 * [taylor]: Taking taylor expansion of 1/4 in J 2.926 * [backup-simplify]: Simplify 1/4 into 1/4 2.926 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.926 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.926 * [taylor]: Taking taylor expansion of U in J 2.926 * [backup-simplify]: Simplify U into U 2.926 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.926 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.926 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.926 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.926 * [taylor]: Taking taylor expansion of 1/2 in J 2.926 * [backup-simplify]: Simplify 1/2 into 1/2 2.926 * [taylor]: Taking taylor expansion of K in J 2.926 * [backup-simplify]: Simplify K into K 2.926 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.926 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.927 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.927 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.927 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.927 * [backup-simplify]: Simplify (- 0) into 0 2.927 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.927 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.927 * [taylor]: Taking taylor expansion of J in J 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.927 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.928 * [backup-simplify]: Simplify (* 1 1) into 1 2.928 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.928 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.928 * [taylor]: Taking taylor expansion of 1 in J 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [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))) 2.929 * [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))) 2.929 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.929 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.930 * [backup-simplify]: Simplify (+ 0) into 0 2.930 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.932 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.934 * [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 2.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.936 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 2.936 * [taylor]: Taking taylor expansion of -2 in J 2.936 * [backup-simplify]: Simplify -2 into -2 2.936 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 2.936 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.936 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.936 * [taylor]: Taking taylor expansion of 1/2 in J 2.936 * [backup-simplify]: Simplify 1/2 into 1/2 2.936 * [taylor]: Taking taylor expansion of K in J 2.936 * [backup-simplify]: Simplify K into K 2.936 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.936 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.936 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.936 * [taylor]: Taking taylor expansion of J in J 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.936 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.936 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.936 * [taylor]: Taking taylor expansion of 1/4 in J 2.936 * [backup-simplify]: Simplify 1/4 into 1/4 2.936 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.936 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.936 * [taylor]: Taking taylor expansion of U in J 2.936 * [backup-simplify]: Simplify U into U 2.936 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.936 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.937 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.937 * [taylor]: Taking taylor expansion of 1/2 in J 2.937 * [backup-simplify]: Simplify 1/2 into 1/2 2.937 * [taylor]: Taking taylor expansion of K in J 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)) 2.937 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.937 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.937 * [backup-simplify]: Simplify (- 0) into 0 2.937 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.938 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.938 * [taylor]: Taking taylor expansion of J in J 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (* U U) into (pow U 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) 2.938 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.938 * [taylor]: Taking taylor expansion of 1 in J 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [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))) 2.939 * [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))) 2.939 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.939 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.940 * [backup-simplify]: Simplify (+ 0) into 0 2.941 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.943 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.944 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.944 * [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 2.945 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.946 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.946 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.946 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.946 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.946 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 2.947 * [backup-simplify]: Simplify (* -2 0) into 0 2.947 * [taylor]: Taking taylor expansion of 0 in K 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [taylor]: Taking taylor expansion of 0 in U 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (+ 0) into 0 2.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.950 * [backup-simplify]: Simplify (- 0) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.951 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 2.951 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 2.952 * [taylor]: Taking taylor expansion of (- U) in K 2.952 * [taylor]: Taking taylor expansion of U in K 2.952 * [backup-simplify]: Simplify U into U 2.952 * [backup-simplify]: Simplify (- U) into (- U) 2.952 * [taylor]: Taking taylor expansion of (- U) in U 2.952 * [taylor]: Taking taylor expansion of U in U 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (- 0) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [taylor]: Taking taylor expansion of 0 in U 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.959 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.960 * [backup-simplify]: Simplify (- 0) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.961 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.961 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.962 * [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 2.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 2.963 * [backup-simplify]: Simplify (+ 0 1) into 1 2.964 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 2.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.965 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.968 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 2.970 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 2.970 * [taylor]: Taking taylor expansion of 0 in K 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [taylor]: Taking taylor expansion of 0 in U 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [taylor]: Taking taylor expansion of 0 in U 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2.972 * [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 2.972 * [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 2.972 * [taylor]: Taking taylor expansion of -2 in U 2.972 * [backup-simplify]: Simplify -2 into -2 2.972 * [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 2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.972 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.972 * [taylor]: Taking taylor expansion of 1/4 in U 2.972 * [backup-simplify]: Simplify 1/4 into 1/4 2.972 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.972 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.972 * [taylor]: Taking taylor expansion of J in U 2.972 * [backup-simplify]: Simplify J into J 2.972 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.972 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.972 * [taylor]: Taking taylor expansion of U in U 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.972 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.972 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.972 * [taylor]: Taking taylor expansion of 1/2 in U 2.972 * [backup-simplify]: Simplify 1/2 into 1/2 2.972 * [taylor]: Taking taylor expansion of K in U 2.972 * [backup-simplify]: Simplify K into K 2.972 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.973 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.973 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.973 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.973 * [backup-simplify]: Simplify (- 0) into 0 2.973 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.973 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.974 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.974 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.974 * [taylor]: Taking taylor expansion of 1 in U 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [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))) 2.975 * [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))) 2.975 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.975 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.975 * [backup-simplify]: Simplify (+ 0) into 0 2.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.978 * [backup-simplify]: Simplify (- 0) into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.979 * [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 2.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.980 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.980 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.980 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.980 * [taylor]: Taking taylor expansion of 1/2 in U 2.980 * [backup-simplify]: Simplify 1/2 into 1/2 2.980 * [taylor]: Taking taylor expansion of K in U 2.980 * [backup-simplify]: Simplify K into K 2.980 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.980 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.980 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.980 * [taylor]: Taking taylor expansion of J in U 2.980 * [backup-simplify]: Simplify J into J 2.980 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.980 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.980 * [backup-simplify]: Simplify (- 0) into 0 2.981 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.981 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.981 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 2.981 * [taylor]: Taking taylor expansion of -2 in K 2.981 * [backup-simplify]: Simplify -2 into -2 2.981 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 2.981 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.981 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.981 * [taylor]: Taking taylor expansion of 1/4 in K 2.981 * [backup-simplify]: Simplify 1/4 into 1/4 2.981 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.981 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.981 * [taylor]: Taking taylor expansion of J in K 2.981 * [backup-simplify]: Simplify J into J 2.981 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.981 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.981 * [taylor]: Taking taylor expansion of U in K 2.981 * [backup-simplify]: Simplify U into U 2.981 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.981 * [taylor]: Taking taylor expansion of 1/2 in K 2.981 * [backup-simplify]: Simplify 1/2 into 1/2 2.981 * [taylor]: Taking taylor expansion of K in K 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.981 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.981 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.981 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.982 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.982 * [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))) 2.982 * [taylor]: Taking taylor expansion of 1 in K 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [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)))) 2.982 * [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) 2.982 * [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)) 2.983 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.983 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.983 * [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 2.984 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.984 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.984 * [taylor]: Taking taylor expansion of 1/2 in K 2.984 * [backup-simplify]: Simplify 1/2 into 1/2 2.984 * [taylor]: Taking taylor expansion of K in K 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.985 * [taylor]: Taking taylor expansion of J in K 2.985 * [backup-simplify]: Simplify J into J 2.985 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.985 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 2.985 * [taylor]: Taking taylor expansion of -2 in J 2.985 * [backup-simplify]: Simplify -2 into -2 2.985 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 2.985 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.985 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.985 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.985 * [taylor]: Taking taylor expansion of 1/4 in J 2.985 * [backup-simplify]: Simplify 1/4 into 1/4 2.985 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.985 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.985 * [taylor]: Taking taylor expansion of J in J 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.985 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.985 * [taylor]: Taking taylor expansion of U in J 2.985 * [backup-simplify]: Simplify U into U 2.985 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.985 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.985 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.985 * [taylor]: Taking taylor expansion of 1/2 in J 2.985 * [backup-simplify]: Simplify 1/2 into 1/2 2.985 * [taylor]: Taking taylor expansion of K in J 2.985 * [backup-simplify]: Simplify K into K 2.985 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.985 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.986 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.986 * [backup-simplify]: Simplify (- 0) into 0 2.986 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.986 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.986 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.987 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.987 * [taylor]: Taking taylor expansion of 1 in J 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (+ 0 1) into 1 2.988 * [backup-simplify]: Simplify (sqrt 1) into 1 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.989 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.989 * [taylor]: Taking taylor expansion of 1/2 in J 2.989 * [backup-simplify]: Simplify 1/2 into 1/2 2.989 * [taylor]: Taking taylor expansion of K in J 2.989 * [backup-simplify]: Simplify K into K 2.989 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.989 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.989 * [taylor]: Taking taylor expansion of J in J 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.989 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.990 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.990 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 2.990 * [taylor]: Taking taylor expansion of -2 in J 2.990 * [backup-simplify]: Simplify -2 into -2 2.990 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 2.990 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.990 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.990 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.990 * [taylor]: Taking taylor expansion of 1/4 in J 2.990 * [backup-simplify]: Simplify 1/4 into 1/4 2.990 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.990 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.990 * [taylor]: Taking taylor expansion of J in J 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.990 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.990 * [taylor]: Taking taylor expansion of U in J 2.990 * [backup-simplify]: Simplify U into U 2.990 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.990 * [taylor]: Taking taylor expansion of 1/2 in J 2.990 * [backup-simplify]: Simplify 1/2 into 1/2 2.991 * [taylor]: Taking taylor expansion of K in J 2.991 * [backup-simplify]: Simplify K into K 2.991 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.991 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.991 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.991 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.991 * [backup-simplify]: Simplify (- 0) into 0 2.991 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.992 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.992 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.992 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.992 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.992 * [taylor]: Taking taylor expansion of 1 in J 2.992 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (+ 0 1) into 1 2.993 * [backup-simplify]: Simplify (sqrt 1) into 1 2.993 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.994 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.994 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.994 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.994 * [taylor]: Taking taylor expansion of 1/2 in J 2.994 * [backup-simplify]: Simplify 1/2 into 1/2 2.994 * [taylor]: Taking taylor expansion of K in J 2.994 * [backup-simplify]: Simplify K into K 2.994 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.994 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.995 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.995 * [taylor]: Taking taylor expansion of J in J 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.995 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.995 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.995 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.996 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.996 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 2.996 * [taylor]: Taking taylor expansion of -2 in K 2.996 * [backup-simplify]: Simplify -2 into -2 2.996 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.996 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.996 * [taylor]: Taking taylor expansion of 1/2 in K 2.996 * [backup-simplify]: Simplify 1/2 into 1/2 2.996 * [taylor]: Taking taylor expansion of K in K 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.996 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.996 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 2.996 * [taylor]: Taking taylor expansion of -2 in U 2.996 * [backup-simplify]: Simplify -2 into -2 2.997 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.997 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.997 * [taylor]: Taking taylor expansion of 1/2 in U 2.997 * [backup-simplify]: Simplify 1/2 into 1/2 2.997 * [taylor]: Taking taylor expansion of K in U 2.997 * [backup-simplify]: Simplify K into K 2.997 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.997 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.997 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.997 * [backup-simplify]: Simplify (+ 0) into 0 2.998 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.998 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.999 * [backup-simplify]: Simplify (- 0) into 0 3.000 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.002 * [taylor]: Taking taylor expansion of 0 in K 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [taylor]: Taking taylor expansion of 0 in U 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.002 * [taylor]: Taking taylor expansion of 0 in U 3.002 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.003 * [backup-simplify]: Simplify (- 0) into 0 3.003 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.003 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.003 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.005 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.007 * [backup-simplify]: Simplify (- 0) into 0 3.007 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [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))) 3.009 * [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)))) 3.010 * [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))) 3.011 * [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))))) 3.012 * [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)))))) 3.012 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 3.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 3.012 * [taylor]: Taking taylor expansion of 1/4 in K 3.012 * [backup-simplify]: Simplify 1/4 into 1/4 3.012 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 3.012 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 3.012 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.012 * [taylor]: Taking taylor expansion of U in K 3.012 * [backup-simplify]: Simplify U into U 3.012 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.012 * [taylor]: Taking taylor expansion of 1/2 in K 3.012 * [backup-simplify]: Simplify 1/2 into 1/2 3.012 * [taylor]: Taking taylor expansion of K in K 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.013 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.013 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.013 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 3.013 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 3.013 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 3.014 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.014 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 3.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 3.014 * [taylor]: Taking taylor expansion of 1/4 in U 3.014 * [backup-simplify]: Simplify 1/4 into 1/4 3.014 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 3.014 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 3.014 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.014 * [taylor]: Taking taylor expansion of U in U 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.014 * [taylor]: Taking taylor expansion of 1/2 in U 3.014 * [backup-simplify]: Simplify 1/2 into 1/2 3.014 * [taylor]: Taking taylor expansion of K in U 3.014 * [backup-simplify]: Simplify K into K 3.014 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.014 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.015 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.015 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.015 * [backup-simplify]: Simplify (- 0) into 0 3.015 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.015 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.016 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.016 * [backup-simplify]: Simplify (+ 0) into 0 3.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.017 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.018 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.018 * [backup-simplify]: Simplify (- 0) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [taylor]: Taking taylor expansion of 0 in U 3.021 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.022 * [taylor]: Taking taylor expansion of 0 in U 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (+ 0) into 0 3.023 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.024 * [backup-simplify]: Simplify (- 0) into 0 3.025 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.033 * [backup-simplify]: Simplify (+ 0) into 0 3.034 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.034 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.035 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.035 * [backup-simplify]: Simplify (- 0) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.036 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.037 * [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 3.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 3.040 * [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 3.041 * [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 3.041 * [taylor]: Taking taylor expansion of 0 in K 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [taylor]: Taking taylor expansion of 0 in U 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.041 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 3.042 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 3.042 * [backup-simplify]: Simplify (- 0) into 0 3.042 * [taylor]: Taking taylor expansion of 0 in U 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [taylor]: Taking taylor expansion of 0 in U 3.042 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.043 * [taylor]: Taking taylor expansion of 0 in U 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.045 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.045 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 3.049 * [backup-simplify]: Simplify (- 0) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.049 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 3.050 * [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 3.050 * [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 3.050 * [taylor]: Taking taylor expansion of 2 in U 3.050 * [backup-simplify]: Simplify 2 into 2 3.050 * [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 3.050 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 3.050 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.050 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.050 * [taylor]: Taking taylor expansion of -1/2 in U 3.050 * [backup-simplify]: Simplify -1/2 into -1/2 3.050 * [taylor]: Taking taylor expansion of K in U 3.050 * [backup-simplify]: Simplify K into K 3.050 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.050 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.050 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.050 * [taylor]: Taking taylor expansion of J in U 3.050 * [backup-simplify]: Simplify J into J 3.050 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.050 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.050 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.050 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.050 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.050 * [taylor]: Taking taylor expansion of 1 in U 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.051 * [taylor]: Taking taylor expansion of 1/4 in U 3.051 * [backup-simplify]: Simplify 1/4 into 1/4 3.051 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.051 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.051 * [taylor]: Taking taylor expansion of J in U 3.051 * [backup-simplify]: Simplify J into J 3.051 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.051 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.051 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.051 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.051 * [taylor]: Taking taylor expansion of -1/2 in U 3.051 * [backup-simplify]: Simplify -1/2 into -1/2 3.051 * [taylor]: Taking taylor expansion of K in U 3.051 * [backup-simplify]: Simplify K into K 3.051 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.051 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.051 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.051 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.051 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.051 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.051 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.051 * [taylor]: Taking taylor expansion of U in U 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.051 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.052 * [backup-simplify]: Simplify (* 1 1) into 1 3.052 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.052 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.052 * [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))) 3.052 * [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))) 3.052 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.052 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.053 * [backup-simplify]: Simplify (+ 0) into 0 3.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.055 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.055 * [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 3.056 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.056 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.056 * [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 3.056 * [taylor]: Taking taylor expansion of 2 in K 3.056 * [backup-simplify]: Simplify 2 into 2 3.056 * [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 3.056 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.056 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.056 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.056 * [taylor]: Taking taylor expansion of -1/2 in K 3.056 * [backup-simplify]: Simplify -1/2 into -1/2 3.056 * [taylor]: Taking taylor expansion of K in K 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.057 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.057 * [taylor]: Taking taylor expansion of J in K 3.057 * [backup-simplify]: Simplify J into J 3.057 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.057 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.057 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.057 * [taylor]: Taking taylor expansion of 1 in K 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.057 * [taylor]: Taking taylor expansion of 1/4 in K 3.057 * [backup-simplify]: Simplify 1/4 into 1/4 3.057 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.057 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.057 * [taylor]: Taking taylor expansion of J in K 3.057 * [backup-simplify]: Simplify J into J 3.057 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.057 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.057 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.057 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.057 * [taylor]: Taking taylor expansion of -1/2 in K 3.057 * [backup-simplify]: Simplify -1/2 into -1/2 3.057 * [taylor]: Taking taylor expansion of K in K 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.057 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.057 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.057 * [taylor]: Taking taylor expansion of U in K 3.057 * [backup-simplify]: Simplify U into U 3.057 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.058 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.058 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.058 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.058 * [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))) 3.058 * [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)))) 3.058 * [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))))) 3.058 * [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)))))) 3.058 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.059 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.059 * [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 3.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.060 * [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 3.060 * [taylor]: Taking taylor expansion of 2 in J 3.060 * [backup-simplify]: Simplify 2 into 2 3.060 * [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 3.060 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.060 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.060 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.060 * [taylor]: Taking taylor expansion of -1/2 in J 3.060 * [backup-simplify]: Simplify -1/2 into -1/2 3.060 * [taylor]: Taking taylor expansion of K in J 3.060 * [backup-simplify]: Simplify K into K 3.060 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.060 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.060 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.060 * [taylor]: Taking taylor expansion of J in J 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.060 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.061 * [backup-simplify]: Simplify (- 0) into 0 3.061 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.061 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.061 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.061 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.061 * [taylor]: Taking taylor expansion of 1 in J 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.061 * [taylor]: Taking taylor expansion of 1/4 in J 3.061 * [backup-simplify]: Simplify 1/4 into 1/4 3.061 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.061 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.061 * [taylor]: Taking taylor expansion of J in J 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.061 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.061 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.061 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.061 * [taylor]: Taking taylor expansion of -1/2 in J 3.061 * [backup-simplify]: Simplify -1/2 into -1/2 3.061 * [taylor]: Taking taylor expansion of K in J 3.061 * [backup-simplify]: Simplify K into K 3.061 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.061 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.061 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.061 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.062 * [backup-simplify]: Simplify (- 0) into 0 3.062 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.062 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.062 * [taylor]: Taking taylor expansion of U in J 3.062 * [backup-simplify]: Simplify U into U 3.062 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.062 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.062 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.062 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.063 * [backup-simplify]: Simplify (+ 1 0) into 1 3.063 * [backup-simplify]: Simplify (sqrt 1) into 1 3.063 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.064 * [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 3.064 * [taylor]: Taking taylor expansion of 2 in J 3.064 * [backup-simplify]: Simplify 2 into 2 3.064 * [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 3.064 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.064 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.064 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.064 * [taylor]: Taking taylor expansion of -1/2 in J 3.064 * [backup-simplify]: Simplify -1/2 into -1/2 3.064 * [taylor]: Taking taylor expansion of K in J 3.064 * [backup-simplify]: Simplify K into K 3.064 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.064 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.064 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.064 * [taylor]: Taking taylor expansion of J in J 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.064 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.064 * [backup-simplify]: Simplify (- 0) into 0 3.064 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.064 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.064 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.064 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.064 * [taylor]: Taking taylor expansion of 1 in J 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.065 * [taylor]: Taking taylor expansion of 1/4 in J 3.065 * [backup-simplify]: Simplify 1/4 into 1/4 3.065 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.065 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.065 * [taylor]: Taking taylor expansion of J in J 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.065 * [taylor]: Taking taylor expansion of -1/2 in J 3.065 * [backup-simplify]: Simplify -1/2 into -1/2 3.065 * [taylor]: Taking taylor expansion of K in J 3.065 * [backup-simplify]: Simplify K into K 3.065 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.065 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.065 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.065 * [backup-simplify]: Simplify (- 0) into 0 3.065 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.065 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.065 * [taylor]: Taking taylor expansion of U in J 3.065 * [backup-simplify]: Simplify U into U 3.066 * [backup-simplify]: Simplify (* 1 1) into 1 3.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.066 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.066 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.066 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.066 * [backup-simplify]: Simplify (+ 1 0) into 1 3.066 * [backup-simplify]: Simplify (sqrt 1) into 1 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.067 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.067 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.067 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.067 * [taylor]: Taking taylor expansion of 2 in K 3.067 * [backup-simplify]: Simplify 2 into 2 3.067 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.067 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.067 * [taylor]: Taking taylor expansion of -1/2 in K 3.067 * [backup-simplify]: Simplify -1/2 into -1/2 3.067 * [taylor]: Taking taylor expansion of K in K 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.068 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.068 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.068 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 3.068 * [taylor]: Taking taylor expansion of 2 in U 3.068 * [backup-simplify]: Simplify 2 into 2 3.068 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.068 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.068 * [taylor]: Taking taylor expansion of -1/2 in U 3.068 * [backup-simplify]: Simplify -1/2 into -1/2 3.068 * [taylor]: Taking taylor expansion of K in U 3.068 * [backup-simplify]: Simplify K into K 3.068 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.068 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.068 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.068 * [backup-simplify]: Simplify (+ 0) into 0 3.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.070 * [backup-simplify]: Simplify (- 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.071 * [taylor]: Taking taylor expansion of 0 in K 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [taylor]: Taking taylor expansion of 0 in U 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.071 * [taylor]: Taking taylor expansion of 0 in U 3.071 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.072 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.072 * [backup-simplify]: Simplify (- 0) into 0 3.072 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.072 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.072 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.072 * [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))) 3.072 * [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)))) 3.073 * [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))) 3.074 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.075 * [backup-simplify]: Simplify (- 0) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.077 * [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)))) 3.079 * [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)))) 3.079 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 3.079 * [taylor]: Taking taylor expansion of 1/4 in K 3.079 * [backup-simplify]: Simplify 1/4 into 1/4 3.079 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 3.079 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 3.079 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.079 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.079 * [taylor]: Taking taylor expansion of -1/2 in K 3.079 * [backup-simplify]: Simplify -1/2 into -1/2 3.079 * [taylor]: Taking taylor expansion of K in K 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.079 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.080 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.080 * [taylor]: Taking taylor expansion of U in K 3.080 * [backup-simplify]: Simplify U into U 3.080 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.080 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 3.080 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 3.080 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 3.080 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 3.080 * [taylor]: Taking taylor expansion of 1/4 in U 3.080 * [backup-simplify]: Simplify 1/4 into 1/4 3.080 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 3.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.080 * [taylor]: Taking taylor expansion of -1/2 in U 3.080 * [backup-simplify]: Simplify -1/2 into -1/2 3.080 * [taylor]: Taking taylor expansion of K in U 3.080 * [backup-simplify]: Simplify K into K 3.080 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.080 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.080 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.080 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.081 * [backup-simplify]: Simplify (- 0) into 0 3.081 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.081 * [backup-simplify]: Simplify (* 1 1) into 1 3.081 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.081 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 3.081 * [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 3.082 * [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 1)) into 0 3.084 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [taylor]: Taking taylor expansion of 0 in U 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.084 * [taylor]: Taking taylor expansion of 0 in U 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (+ 0) into 0 3.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.086 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.087 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.087 * [backup-simplify]: Simplify (+ 0) into 0 3.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.088 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.089 * [backup-simplify]: Simplify (- 0) into 0 3.089 * [backup-simplify]: Simplify (+ 0 0) 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 3.089 * [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 3.090 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 3.091 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.093 * [backup-simplify]: Simplify (- 0) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [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 3.096 * [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 3.096 * [taylor]: Taking taylor expansion of 0 in K 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [taylor]: Taking taylor expansion of 0 in U 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 3.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 3.097 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 3.097 * [taylor]: Taking taylor expansion of 0 in U 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [taylor]: Taking taylor expansion of 0 in U 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.098 * [taylor]: Taking taylor expansion of 0 in U 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.102 * [backup-simplify]: Simplify (- 0) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.103 * [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 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.103 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.104 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 3.104 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 3.104 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 3.104 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 3.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.104 * [taylor]: Taking taylor expansion of 1/4 in K 3.104 * [backup-simplify]: Simplify 1/4 into 1/4 3.104 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.104 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.104 * [taylor]: Taking taylor expansion of U in K 3.104 * [backup-simplify]: Simplify U into U 3.104 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.104 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.104 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.104 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.104 * [taylor]: Taking taylor expansion of 1/2 in K 3.104 * [backup-simplify]: Simplify 1/2 into 1/2 3.104 * [taylor]: Taking taylor expansion of K in K 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.105 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.105 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.105 * [taylor]: Taking taylor expansion of J in K 3.105 * [backup-simplify]: Simplify J into J 3.105 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.106 * [backup-simplify]: Simplify (* 1 1) into 1 3.106 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.106 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.106 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.106 * [taylor]: Taking taylor expansion of 1 in K 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.107 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.107 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.107 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.107 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.107 * [backup-simplify]: Simplify (+ 0) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.109 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.110 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.110 * [taylor]: Taking taylor expansion of 1/4 in J 3.110 * [backup-simplify]: Simplify 1/4 into 1/4 3.110 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.110 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.110 * [taylor]: Taking taylor expansion of U in J 3.110 * [backup-simplify]: Simplify U into U 3.110 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.110 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.110 * [taylor]: Taking taylor expansion of 1/2 in J 3.110 * [backup-simplify]: Simplify 1/2 into 1/2 3.110 * [taylor]: Taking taylor expansion of K in J 3.110 * [backup-simplify]: Simplify K into K 3.110 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.111 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.111 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.111 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.111 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.111 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.111 * [taylor]: Taking taylor expansion of J in J 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.112 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.112 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.112 * [taylor]: Taking taylor expansion of 1 in J 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [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))) 3.113 * [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))) 3.113 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.113 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 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 (+ (* 1/2 0) (* 0 K)) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.116 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.117 * [backup-simplify]: Simplify (- 0) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.117 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.118 * [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 3.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.119 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.119 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.119 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.119 * [taylor]: Taking taylor expansion of 1/4 in U 3.119 * [backup-simplify]: Simplify 1/4 into 1/4 3.120 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.120 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.120 * [taylor]: Taking taylor expansion of U in U 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.120 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.120 * [taylor]: Taking taylor expansion of 1/2 in U 3.120 * [backup-simplify]: Simplify 1/2 into 1/2 3.120 * [taylor]: Taking taylor expansion of K in U 3.120 * [backup-simplify]: Simplify K into K 3.120 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.120 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.120 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.120 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.120 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.121 * [backup-simplify]: Simplify (- 0) into 0 3.121 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.121 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.121 * [taylor]: Taking taylor expansion of J in U 3.121 * [backup-simplify]: Simplify J into J 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.121 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.122 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.122 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.122 * [taylor]: Taking taylor expansion of 1 in U 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (+ 0 1) into 1 3.123 * [backup-simplify]: Simplify (sqrt 1) into 1 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.124 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.124 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.124 * [taylor]: Taking taylor expansion of 1/4 in U 3.124 * [backup-simplify]: Simplify 1/4 into 1/4 3.124 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.124 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.124 * [taylor]: Taking taylor expansion of U in U 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.124 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.124 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.124 * [taylor]: Taking taylor expansion of 1/2 in U 3.124 * [backup-simplify]: Simplify 1/2 into 1/2 3.124 * [taylor]: Taking taylor expansion of K in U 3.124 * [backup-simplify]: Simplify K into K 3.124 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.124 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.124 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.125 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.125 * [backup-simplify]: Simplify (- 0) into 0 3.125 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.125 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.125 * [taylor]: Taking taylor expansion of J in U 3.125 * [backup-simplify]: Simplify J into J 3.126 * [backup-simplify]: Simplify (* 1 1) into 1 3.126 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.126 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.126 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.126 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.126 * [taylor]: Taking taylor expansion of 1 in U 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (+ 0 1) into 1 3.127 * [backup-simplify]: Simplify (sqrt 1) into 1 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.128 * [taylor]: Taking taylor expansion of 1 in J 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of 0 in J 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [taylor]: Taking taylor expansion of 1 in K 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [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))) 3.129 * [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)))) 3.130 * [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))) 3.130 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.130 * [taylor]: Taking taylor expansion of 1/8 in J 3.130 * [backup-simplify]: Simplify 1/8 into 1/8 3.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.131 * [taylor]: Taking taylor expansion of 1/2 in J 3.131 * [backup-simplify]: Simplify 1/2 into 1/2 3.131 * [taylor]: Taking taylor expansion of K in J 3.131 * [backup-simplify]: Simplify K into K 3.131 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.131 * [backup-simplify]: Simplify (- 0) into 0 3.131 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.132 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.132 * [taylor]: Taking taylor expansion of J in J 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.132 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.132 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.133 * [backup-simplify]: Simplify (+ 0) into 0 3.134 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.136 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.138 * [taylor]: Taking taylor expansion of 0 in K 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [taylor]: Taking taylor expansion of 0 in K 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [taylor]: Taking taylor expansion of 0 in K 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.139 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.139 * [backup-simplify]: Simplify (+ 0) into 0 3.140 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.141 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 3.143 * [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 3.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 3.144 * [taylor]: Taking taylor expansion of 0 in J 3.144 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.148 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.148 * [backup-simplify]: Simplify (- 0) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.149 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.149 * [taylor]: Taking taylor expansion of 0 in K 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [taylor]: Taking taylor expansion of 0 in K 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.150 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 3.150 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.150 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 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 J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.150 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.150 * [taylor]: Taking taylor expansion of J in K 3.150 * [backup-simplify]: Simplify J into J 3.150 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.150 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.150 * [taylor]: Taking taylor expansion of U in K 3.150 * [backup-simplify]: Simplify U into U 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 3.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.150 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.150 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.151 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.151 * [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))) 3.151 * [taylor]: Taking taylor expansion of 1 in K 3.151 * [backup-simplify]: Simplify 1 into 1 3.151 * [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)))) 3.151 * [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) 3.151 * [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)) 3.151 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.151 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.152 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.152 * [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 3.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.153 * [backup-simplify]: Simplify (+ 0 0) into 0 3.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.153 * [taylor]: Taking taylor expansion of 1/4 in J 3.153 * [backup-simplify]: Simplify 1/4 into 1/4 3.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.153 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.153 * [taylor]: Taking taylor expansion of J in J 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.153 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.153 * [taylor]: Taking taylor expansion of U in J 3.153 * [backup-simplify]: Simplify U into U 3.153 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.153 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.153 * [taylor]: Taking taylor expansion of 1/2 in J 3.153 * [backup-simplify]: Simplify 1/2 into 1/2 3.153 * [taylor]: Taking taylor expansion of K in J 3.153 * [backup-simplify]: Simplify K into K 3.153 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.153 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.153 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.153 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.154 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.154 * [backup-simplify]: Simplify (* 1 1) into 1 3.154 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.154 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.154 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.154 * [taylor]: Taking taylor expansion of 1 in J 3.154 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (+ 0 1) into 1 3.155 * [backup-simplify]: Simplify (sqrt 1) into 1 3.155 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.156 * [taylor]: Taking taylor expansion of 1/4 in U 3.156 * [backup-simplify]: Simplify 1/4 into 1/4 3.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.156 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.156 * [taylor]: Taking taylor expansion of J in U 3.156 * [backup-simplify]: Simplify J into J 3.156 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.156 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.156 * [taylor]: Taking taylor expansion of U in U 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.156 * [taylor]: Taking taylor expansion of 1/2 in U 3.156 * [backup-simplify]: Simplify 1/2 into 1/2 3.156 * [taylor]: Taking taylor expansion of K in U 3.156 * [backup-simplify]: Simplify K into K 3.156 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.156 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.157 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.157 * [backup-simplify]: Simplify (* 1 1) into 1 3.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.157 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.157 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.157 * [taylor]: Taking taylor expansion of 1 in U 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [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))) 3.157 * [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))) 3.158 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.158 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.158 * [backup-simplify]: Simplify (+ 0) into 0 3.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.159 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.161 * [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 3.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.161 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.161 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.161 * [taylor]: Taking taylor expansion of 1/4 in U 3.162 * [backup-simplify]: Simplify 1/4 into 1/4 3.162 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.162 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.162 * [taylor]: Taking taylor expansion of J in U 3.162 * [backup-simplify]: Simplify J into J 3.162 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.162 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.162 * [taylor]: Taking taylor expansion of U in U 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.162 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.162 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.162 * [taylor]: Taking taylor expansion of 1/2 in U 3.162 * [backup-simplify]: Simplify 1/2 into 1/2 3.162 * [taylor]: Taking taylor expansion of K in U 3.162 * [backup-simplify]: Simplify K into K 3.162 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.162 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.162 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.162 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.162 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.162 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.163 * [backup-simplify]: Simplify (* 1 1) into 1 3.163 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.163 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.163 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.163 * [taylor]: Taking taylor expansion of 1 in U 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [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))) 3.163 * [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))) 3.163 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.163 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.164 * [backup-simplify]: Simplify (+ 0) into 0 3.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.165 * [backup-simplify]: Simplify (- 0) into 0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.166 * [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 3.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 3.167 * [taylor]: Taking taylor expansion of 1/2 in J 3.167 * [backup-simplify]: Simplify 1/2 into 1/2 3.167 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 3.167 * [taylor]: Taking taylor expansion of J in J 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.167 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.167 * [taylor]: Taking taylor expansion of 1/2 in J 3.167 * [backup-simplify]: Simplify 1/2 into 1/2 3.167 * [taylor]: Taking taylor expansion of K in J 3.167 * [backup-simplify]: Simplify K into K 3.168 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.168 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.168 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.168 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.168 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.168 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.168 * [taylor]: Taking taylor expansion of 0 in J 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [taylor]: Taking taylor expansion of 0 in K 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 3.168 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 3.168 * [taylor]: Taking taylor expansion of 1/2 in K 3.168 * [backup-simplify]: Simplify 1/2 into 1/2 3.168 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.168 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.168 * [taylor]: Taking taylor expansion of 1/2 in K 3.168 * [backup-simplify]: Simplify 1/2 into 1/2 3.168 * [taylor]: Taking taylor expansion of K in K 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.169 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.169 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 3.169 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 3.169 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 3.174 * [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 3.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.174 * [backup-simplify]: Simplify (+ 0 1) into 1 3.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 3.175 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.175 * [taylor]: Taking taylor expansion of 1/2 in J 3.175 * [backup-simplify]: Simplify 1/2 into 1/2 3.175 * [taylor]: Taking taylor expansion of K in J 3.175 * [backup-simplify]: Simplify K into K 3.175 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.175 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.175 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.175 * [taylor]: Taking taylor expansion of J in J 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.175 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.176 * [backup-simplify]: Simplify (- 0) into 0 3.176 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.176 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.176 * [backup-simplify]: Simplify (+ 0) into 0 3.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.177 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.178 * [taylor]: Taking taylor expansion of 0 in K 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [taylor]: Taking taylor expansion of 0 in K 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (+ 0) into 0 3.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.180 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.181 * [backup-simplify]: Simplify (- 0) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.183 * [taylor]: Taking taylor expansion of 0 in K 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.189 * [backup-simplify]: Simplify (- 0) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.193 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.198 * [taylor]: Taking taylor expansion of 0 in J 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [taylor]: Taking taylor expansion of 0 in K 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 3.199 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 3.199 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 3.199 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.199 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.199 * [taylor]: Taking taylor expansion of 1 in K 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.199 * [taylor]: Taking taylor expansion of 1/4 in K 3.199 * [backup-simplify]: Simplify 1/4 into 1/4 3.199 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.199 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.199 * [taylor]: Taking taylor expansion of J in K 3.199 * [backup-simplify]: Simplify J into J 3.199 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.200 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.200 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.200 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.200 * [taylor]: Taking taylor expansion of -1/2 in K 3.200 * [backup-simplify]: Simplify -1/2 into -1/2 3.200 * [taylor]: Taking taylor expansion of K in K 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.200 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.200 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.200 * [taylor]: Taking taylor expansion of U in K 3.200 * [backup-simplify]: Simplify U into U 3.200 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.201 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.201 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.201 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.201 * [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))) 3.201 * [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)))) 3.202 * [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))))) 3.202 * [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)))))) 3.202 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.202 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.203 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.203 * [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 3.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.205 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.205 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.205 * [taylor]: Taking taylor expansion of 1 in J 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.205 * [taylor]: Taking taylor expansion of 1/4 in J 3.205 * [backup-simplify]: Simplify 1/4 into 1/4 3.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.205 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.205 * [taylor]: Taking taylor expansion of J in J 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.205 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.205 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.205 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.205 * [taylor]: Taking taylor expansion of -1/2 in J 3.206 * [backup-simplify]: Simplify -1/2 into -1/2 3.206 * [taylor]: Taking taylor expansion of K in J 3.206 * [backup-simplify]: Simplify K into K 3.206 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.206 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.206 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.206 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.206 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.206 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.206 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.207 * [taylor]: Taking taylor expansion of U in J 3.207 * [backup-simplify]: Simplify U into U 3.207 * [backup-simplify]: Simplify (* 1 1) into 1 3.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.207 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.207 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.208 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.208 * [backup-simplify]: Simplify (+ 1 0) into 1 3.208 * [backup-simplify]: Simplify (sqrt 1) into 1 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.210 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.210 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.210 * [taylor]: Taking taylor expansion of 1 in U 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (cos (/ -1/2 K)) 2) (pow U 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 (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.210 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.210 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.210 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.210 * [taylor]: Taking taylor expansion of -1/2 in U 3.210 * [backup-simplify]: Simplify -1/2 into -1/2 3.210 * [taylor]: Taking taylor expansion of K in U 3.210 * [backup-simplify]: Simplify K into K 3.210 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.210 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.210 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.210 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.210 * [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 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.211 * [taylor]: Taking taylor expansion of U in U 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 1) into 1 3.212 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) 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))) 3.213 * [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))) 3.213 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.213 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (+ 0) into 0 3.214 * [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 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) 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 3.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.219 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.219 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.219 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.219 * [taylor]: Taking taylor expansion of 1 in U 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.219 * [taylor]: Taking taylor expansion of 1/4 in U 3.219 * [backup-simplify]: Simplify 1/4 into 1/4 3.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.219 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.220 * [taylor]: Taking taylor expansion of J in U 3.220 * [backup-simplify]: Simplify J into J 3.220 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.220 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.220 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.220 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.220 * [taylor]: Taking taylor expansion of -1/2 in U 3.220 * [backup-simplify]: Simplify -1/2 into -1/2 3.220 * [taylor]: Taking taylor expansion of K in U 3.220 * [backup-simplify]: Simplify K into K 3.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.220 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.221 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.221 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.221 * [taylor]: Taking taylor expansion of U in U 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.222 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.222 * [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))) 3.222 * [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))) 3.223 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.223 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.224 * [backup-simplify]: Simplify (+ 0) into 0 3.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.226 * [backup-simplify]: Simplify (- 0) into 0 3.226 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) 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))))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.229 * [backup-simplify]: Simplify (+ 0 0) into 0 3.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 3.229 * [taylor]: Taking taylor expansion of 1/2 in J 3.229 * [backup-simplify]: Simplify 1/2 into 1/2 3.229 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 3.229 * [taylor]: Taking taylor expansion of J in J 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.229 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.229 * [taylor]: Taking taylor expansion of -1/2 in J 3.229 * [backup-simplify]: Simplify -1/2 into -1/2 3.229 * [taylor]: Taking taylor expansion of K in J 3.229 * [backup-simplify]: Simplify K into K 3.229 * [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 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 3.230 * [taylor]: Taking taylor expansion of 0 in J 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [taylor]: Taking taylor expansion of 0 in K 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 3.231 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -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 (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 3.231 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.231 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.232 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.232 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.232 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.237 * [backup-simplify]: Simplify (- 0) into 0 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.238 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 3.239 * [backup-simplify]: Simplify (+ 1 0) into 1 3.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 3.240 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.240 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.240 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.240 * [taylor]: Taking taylor expansion of -1/2 in J 3.240 * [backup-simplify]: Simplify -1/2 into -1/2 3.240 * [taylor]: Taking taylor expansion of K in J 3.240 * [backup-simplify]: Simplify K into K 3.240 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.240 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.240 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.240 * [taylor]: Taking taylor expansion of J in J 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.240 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.240 * [backup-simplify]: Simplify (- 0) into 0 3.240 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.241 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.241 * [backup-simplify]: Simplify (+ 0) into 0 3.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.242 * [backup-simplify]: Simplify (- 0) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.243 * [taylor]: Taking taylor expansion of 0 in K 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [taylor]: Taking taylor expansion of 0 in K 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (+ 0) into 0 3.244 * [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 3.245 * [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 (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 3.246 * [taylor]: Taking taylor expansion of 0 in K 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.250 * [backup-simplify]: Simplify (- 0) into 0 3.250 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.251 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.252 * [backup-simplify]: Simplify (+ 0 0) into 0 3.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.253 * [taylor]: Taking taylor expansion of 0 in J 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [taylor]: Taking taylor expansion of 0 in K 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 3.253 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.253 * [backup-simplify]: Simplify (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) into (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) 3.253 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in (U J K) around 0 3.253 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in K 3.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 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 (/ U (* (cos (* 1/2 K)) J)) 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)) J) in K 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 3.254 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.254 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.254 * [taylor]: Taking taylor expansion of J in K 3.254 * [backup-simplify]: Simplify J into J 3.254 * [backup-simplify]: Simplify (* 1 J) into J 3.254 * [backup-simplify]: Simplify (/ U J) into (/ U J) 3.254 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 3.254 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in J 3.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 3.254 * [taylor]: Taking taylor expansion of 1/2 in J 3.254 * [backup-simplify]: Simplify 1/2 into 1/2 3.254 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 3.254 * [taylor]: Taking taylor expansion of U in J 3.254 * [backup-simplify]: Simplify U into U 3.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.254 * [taylor]: Taking taylor expansion of 1/2 in J 3.254 * [backup-simplify]: Simplify 1/2 into 1/2 3.254 * [taylor]: Taking taylor expansion of K in J 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)) 3.255 * [taylor]: Taking taylor expansion of J in J 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 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 (* (cos (* 1/2 K)) 0) into 0 3.255 * [backup-simplify]: Simplify (+ 0) into 0 3.256 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.257 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.257 * [backup-simplify]: Simplify (- 0) into 0 3.257 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.258 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 3.258 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.258 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.258 * [taylor]: Taking taylor expansion of 1/2 in U 3.258 * [backup-simplify]: Simplify 1/2 into 1/2 3.258 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.258 * [taylor]: Taking taylor expansion of U in U 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.258 * [taylor]: Taking taylor expansion of 1/2 in U 3.258 * [backup-simplify]: Simplify 1/2 into 1/2 3.258 * [taylor]: Taking taylor expansion of K in U 3.258 * [backup-simplify]: Simplify K into K 3.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.258 * [taylor]: Taking taylor expansion of J in U 3.258 * [backup-simplify]: Simplify J into J 3.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.258 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.258 * [backup-simplify]: Simplify (- 0) into 0 3.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.259 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.259 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.259 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.259 * [taylor]: Taking taylor expansion of 1/2 in U 3.259 * [backup-simplify]: Simplify 1/2 into 1/2 3.259 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.259 * [taylor]: Taking taylor expansion of U in U 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.259 * [taylor]: Taking taylor expansion of 1/2 in U 3.259 * [backup-simplify]: Simplify 1/2 into 1/2 3.259 * [taylor]: Taking taylor expansion of K in U 3.259 * [backup-simplify]: Simplify K into K 3.259 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.259 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.259 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.259 * [taylor]: Taking taylor expansion of J in U 3.259 * [backup-simplify]: Simplify J into J 3.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.259 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.259 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.260 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.260 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.260 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.260 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.260 * [taylor]: Taking taylor expansion of 1/4 in J 3.260 * [backup-simplify]: Simplify 1/4 into 1/4 3.260 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.260 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.260 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.260 * [taylor]: Taking taylor expansion of 1/2 in J 3.260 * [backup-simplify]: Simplify 1/2 into 1/2 3.260 * [taylor]: Taking taylor expansion of K in J 3.260 * [backup-simplify]: Simplify K into K 3.260 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.260 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.260 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.260 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.260 * [backup-simplify]: Simplify (- 0) into 0 3.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.260 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.261 * [taylor]: Taking taylor expansion of J in J 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.261 * [backup-simplify]: Simplify (* 1 1) into 1 3.261 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.261 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 3.261 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 3.261 * [taylor]: Taking taylor expansion of 1/4 in K 3.261 * [backup-simplify]: Simplify 1/4 into 1/4 3.261 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.261 * [taylor]: Taking taylor expansion of 1/2 in K 3.261 * [backup-simplify]: Simplify 1/2 into 1/2 3.261 * [taylor]: Taking taylor expansion of K in K 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.262 * [backup-simplify]: Simplify (* 1 1) into 1 3.262 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.262 * [backup-simplify]: Simplify 1/4 into 1/4 3.263 * [backup-simplify]: Simplify (+ 0) into 0 3.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.264 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.265 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 3.265 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 3.265 * [taylor]: Taking taylor expansion of 0 in J 3.265 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (+ 0) into 0 3.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 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 3.269 * [backup-simplify]: Simplify (+ 0) into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.271 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.272 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.272 * [backup-simplify]: Simplify (- 0) into 0 3.272 * [backup-simplify]: Simplify (+ 0 0) into 0 3.273 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 3.273 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 3.274 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0 3.274 * [taylor]: Taking taylor expansion of 0 in J 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.277 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.277 * [backup-simplify]: Simplify (- 0) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.278 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.278 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.278 * [taylor]: Taking taylor expansion of 0 in K 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.279 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 3.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 3.280 * [backup-simplify]: Simplify 1/16 into 1/16 3.281 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.283 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.284 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 3.286 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 3.286 * [taylor]: Taking taylor expansion of 0 in J 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [taylor]: Taking taylor expansion of 0 in K 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.287 * [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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 3.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 3.291 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 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 0 into 0 3.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.296 * [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 3.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.298 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.299 * [backup-simplify]: Simplify (- 0) into 0 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 3.302 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))))) into 0 3.303 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 3.303 * [taylor]: Taking taylor expansion of 0 in J 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [taylor]: Taking taylor expansion of 0 in K 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 3.304 * [backup-simplify]: Simplify (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) 3.304 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in (U J K) around 0 3.304 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in K 3.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 3.304 * [taylor]: Taking taylor expansion of 1/2 in K 3.304 * [backup-simplify]: Simplify 1/2 into 1/2 3.304 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 3.304 * [taylor]: Taking taylor expansion of J in K 3.304 * [backup-simplify]: Simplify J into J 3.304 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.304 * [taylor]: Taking taylor expansion of U in K 3.304 * [backup-simplify]: Simplify U into U 3.304 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.304 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.304 * [taylor]: Taking taylor expansion of 1/2 in K 3.304 * [backup-simplify]: Simplify 1/2 into 1/2 3.304 * [taylor]: Taking taylor expansion of K in K 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.305 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.305 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.305 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 3.305 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 3.305 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in J 3.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 3.305 * [taylor]: Taking taylor expansion of 1/2 in J 3.305 * [backup-simplify]: Simplify 1/2 into 1/2 3.305 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 3.305 * [taylor]: Taking taylor expansion of J in J 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 3.305 * [taylor]: Taking taylor expansion of U in J 3.305 * [backup-simplify]: Simplify U into U 3.305 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.305 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.305 * [taylor]: Taking taylor expansion of 1/2 in J 3.305 * [backup-simplify]: Simplify 1/2 into 1/2 3.305 * [taylor]: Taking taylor expansion of K in J 3.305 * [backup-simplify]: Simplify K into K 3.305 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.305 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.305 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.305 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.305 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.306 * [backup-simplify]: Simplify (- 0) into 0 3.306 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.306 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.306 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.306 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 3.306 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.306 * [taylor]: Taking taylor expansion of 1/2 in U 3.306 * [backup-simplify]: Simplify 1/2 into 1/2 3.306 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.306 * [taylor]: Taking taylor expansion of J in U 3.306 * [backup-simplify]: Simplify J into J 3.306 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.306 * [taylor]: Taking taylor expansion of U in U 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.306 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.306 * [taylor]: Taking taylor expansion of 1/2 in U 3.306 * [backup-simplify]: Simplify 1/2 into 1/2 3.306 * [taylor]: Taking taylor expansion of K in U 3.306 * [backup-simplify]: Simplify K into K 3.306 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.306 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.306 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.306 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.306 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.307 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.307 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.307 * [backup-simplify]: Simplify (+ 0) into 0 3.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.309 * [backup-simplify]: Simplify (- 0) into 0 3.309 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.309 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.309 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.309 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.309 * [taylor]: Taking taylor expansion of 1/2 in U 3.309 * [backup-simplify]: Simplify 1/2 into 1/2 3.309 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.309 * [taylor]: Taking taylor expansion of J in U 3.309 * [backup-simplify]: Simplify J into J 3.309 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.309 * [taylor]: Taking taylor expansion of U in U 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.309 * [taylor]: Taking taylor expansion of 1/2 in U 3.309 * [backup-simplify]: Simplify 1/2 into 1/2 3.309 * [taylor]: Taking taylor expansion of K in U 3.309 * [backup-simplify]: Simplify K into K 3.309 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.310 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.310 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.310 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.310 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.310 * [backup-simplify]: Simplify (+ 0) into 0 3.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.311 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.312 * [backup-simplify]: Simplify (- 0) into 0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.312 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.312 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.312 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 3.312 * [taylor]: Taking taylor expansion of 1/4 in J 3.312 * [backup-simplify]: Simplify 1/4 into 1/4 3.312 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 3.312 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.312 * [taylor]: Taking taylor expansion of J in J 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.313 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.313 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.313 * [taylor]: Taking taylor expansion of 1/2 in J 3.313 * [backup-simplify]: Simplify 1/2 into 1/2 3.313 * [taylor]: Taking taylor expansion of K in J 3.313 * [backup-simplify]: Simplify K into K 3.313 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.313 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.313 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.313 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.313 * [backup-simplify]: Simplify (- 0) into 0 3.313 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.313 * [backup-simplify]: Simplify (* 1 1) into 1 3.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.314 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 3.314 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.314 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 3.314 * [taylor]: Taking taylor expansion of 1/4 in K 3.314 * [backup-simplify]: Simplify 1/4 into 1/4 3.314 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.314 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.314 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.314 * [taylor]: Taking taylor expansion of 1/2 in K 3.314 * [backup-simplify]: Simplify 1/2 into 1/2 3.314 * [taylor]: Taking taylor expansion of K in K 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.314 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.314 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.314 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.314 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.315 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.315 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.317 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.318 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.318 * [taylor]: Taking taylor expansion of 0 in J 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [taylor]: Taking taylor expansion of 0 in K 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (+ 0) into 0 3.319 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.320 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.320 * [backup-simplify]: Simplify (- 0) into 0 3.320 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.321 * [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 3.321 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in K 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.321 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.322 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.324 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.324 * [backup-simplify]: Simplify (- 0) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.325 * [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 3.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 3.326 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 3.326 * [taylor]: Taking taylor expansion of 0 in J 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in K 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in K 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.329 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.330 * [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 3.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 3.331 * [taylor]: Taking taylor expansion of 0 in K 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.331 * [backup-simplify]: Simplify (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) 3.331 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in (U J K) around 0 3.331 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in K 3.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 3.331 * [taylor]: Taking taylor expansion of 1/2 in K 3.331 * [backup-simplify]: Simplify 1/2 into 1/2 3.331 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 3.331 * [taylor]: Taking taylor expansion of J in K 3.331 * [backup-simplify]: Simplify J into J 3.331 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.331 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.331 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.331 * [taylor]: Taking taylor expansion of -1/2 in K 3.331 * [backup-simplify]: Simplify -1/2 into -1/2 3.331 * [taylor]: Taking taylor expansion of K in K 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.332 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.332 * [taylor]: Taking taylor expansion of U in K 3.332 * [backup-simplify]: Simplify U into U 3.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.332 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 3.332 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 3.332 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in J 3.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 3.332 * [taylor]: Taking taylor expansion of 1/2 in J 3.332 * [backup-simplify]: Simplify 1/2 into 1/2 3.332 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 3.332 * [taylor]: Taking taylor expansion of J in J 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 3.332 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.332 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.332 * [taylor]: Taking taylor expansion of -1/2 in J 3.332 * [backup-simplify]: Simplify -1/2 into -1/2 3.332 * [taylor]: Taking taylor expansion of K in J 3.332 * [backup-simplify]: Simplify K into K 3.332 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.332 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.332 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.332 * [taylor]: Taking taylor expansion of U in J 3.332 * [backup-simplify]: Simplify U into U 3.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.332 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.333 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.333 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.333 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 3.333 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 3.333 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.333 * [taylor]: Taking taylor expansion of 1/2 in U 3.333 * [backup-simplify]: Simplify 1/2 into 1/2 3.333 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.333 * [taylor]: Taking taylor expansion of J in U 3.333 * [backup-simplify]: Simplify J into J 3.333 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.333 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.333 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.333 * [taylor]: Taking taylor expansion of -1/2 in U 3.333 * [backup-simplify]: Simplify -1/2 into -1/2 3.333 * [taylor]: Taking taylor expansion of K in U 3.333 * [backup-simplify]: Simplify K into K 3.333 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.333 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.333 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.333 * [taylor]: Taking taylor expansion of U in U 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.334 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.334 * [backup-simplify]: Simplify (- 0) into 0 3.334 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.334 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.334 * [backup-simplify]: Simplify (+ 0) into 0 3.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.336 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.336 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.336 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.336 * [taylor]: Taking taylor expansion of 1/2 in U 3.336 * [backup-simplify]: Simplify 1/2 into 1/2 3.336 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.336 * [taylor]: Taking taylor expansion of J in U 3.336 * [backup-simplify]: Simplify J into J 3.336 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.336 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.336 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.336 * [taylor]: Taking taylor expansion of -1/2 in U 3.336 * [backup-simplify]: Simplify -1/2 into -1/2 3.337 * [taylor]: Taking taylor expansion of K in U 3.337 * [backup-simplify]: Simplify K into K 3.337 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.337 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.337 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.337 * [taylor]: Taking taylor expansion of U in U 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.337 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.337 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.337 * [backup-simplify]: Simplify (+ 0) into 0 3.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.339 * [backup-simplify]: Simplify (- 0) into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.339 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.339 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.340 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.340 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 3.340 * [taylor]: Taking taylor expansion of 1/4 in J 3.340 * [backup-simplify]: Simplify 1/4 into 1/4 3.340 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 3.340 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.340 * [taylor]: Taking taylor expansion of J in J 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.340 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.340 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.340 * [taylor]: Taking taylor expansion of -1/2 in J 3.340 * [backup-simplify]: Simplify -1/2 into -1/2 3.340 * [taylor]: Taking taylor expansion of K in J 3.340 * [backup-simplify]: Simplify K into K 3.340 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.340 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.340 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.340 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.340 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.340 * [backup-simplify]: Simplify (- 0) into 0 3.340 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.341 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 3.341 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.341 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 3.341 * [taylor]: Taking taylor expansion of 1/4 in K 3.341 * [backup-simplify]: Simplify 1/4 into 1/4 3.341 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.341 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.341 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.341 * [taylor]: Taking taylor expansion of -1/2 in K 3.341 * [backup-simplify]: Simplify -1/2 into -1/2 3.341 * [taylor]: Taking taylor expansion of K in K 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.342 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.342 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.342 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.342 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.344 * [backup-simplify]: Simplify (- 0) into 0 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.345 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.345 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.345 * [taylor]: Taking taylor expansion of 0 in J 3.345 * [backup-simplify]: Simplify 0 into 0 3.346 * [taylor]: Taking taylor expansion of 0 in K 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.346 * [backup-simplify]: Simplify (+ 0) into 0 3.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.347 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.348 * [backup-simplify]: Simplify (- 0) into 0 3.348 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.348 * [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 3.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 3.349 * [taylor]: Taking taylor expansion of 0 in K 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.351 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.353 * [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 3.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 3.353 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 3.353 * [taylor]: Taking taylor expansion of 0 in J 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [taylor]: Taking taylor expansion of 0 in K 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [taylor]: Taking taylor expansion of 0 in K 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.356 * [backup-simplify]: Simplify (- 0) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.357 * [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 3.358 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 3.358 * [taylor]: Taking taylor expansion of 0 in K 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.358 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.358 * [backup-simplify]: Simplify (* (* -2 J) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) J)) 3.358 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (J K) around 0 3.358 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 3.358 * [taylor]: Taking taylor expansion of -2 in K 3.359 * [backup-simplify]: Simplify -2 into -2 3.359 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.359 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.359 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.359 * [taylor]: Taking taylor expansion of 1/2 in K 3.359 * [backup-simplify]: Simplify 1/2 into 1/2 3.359 * [taylor]: Taking taylor expansion of K in K 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.359 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.359 * [taylor]: Taking taylor expansion of J in K 3.359 * [backup-simplify]: Simplify J into J 3.359 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.359 * [taylor]: Taking taylor expansion of -2 in J 3.359 * [backup-simplify]: Simplify -2 into -2 3.359 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.360 * [taylor]: Taking taylor expansion of 1/2 in J 3.360 * [backup-simplify]: Simplify 1/2 into 1/2 3.360 * [taylor]: Taking taylor expansion of K in J 3.360 * [backup-simplify]: Simplify K into K 3.360 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.360 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.360 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.360 * [taylor]: Taking taylor expansion of J in J 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.360 * [taylor]: Taking taylor expansion of -2 in J 3.360 * [backup-simplify]: Simplify -2 into -2 3.360 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.360 * [taylor]: Taking taylor expansion of 1/2 in J 3.360 * [backup-simplify]: Simplify 1/2 into 1/2 3.360 * [taylor]: Taking taylor expansion of K in J 3.360 * [backup-simplify]: Simplify K into K 3.360 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.360 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.360 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.360 * [taylor]: Taking taylor expansion of J in J 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.360 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.361 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.361 * [backup-simplify]: Simplify (* -2 0) into 0 3.361 * [taylor]: Taking taylor expansion of 0 in K 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (+ 0) into 0 3.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.363 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.364 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 3.364 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 3.364 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 3.364 * [taylor]: Taking taylor expansion of 2 in K 3.364 * [backup-simplify]: Simplify 2 into 2 3.364 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.364 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.364 * [taylor]: Taking taylor expansion of 1/2 in K 3.364 * [backup-simplify]: Simplify 1/2 into 1/2 3.364 * [taylor]: Taking taylor expansion of K in K 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.365 * [backup-simplify]: Simplify (* 2 1) into 2 3.365 * [backup-simplify]: Simplify (- 2) into -2 3.365 * [backup-simplify]: Simplify -2 into -2 3.365 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.368 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.368 * [backup-simplify]: Simplify (- 0) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.369 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 3.369 * [taylor]: Taking taylor expansion of 0 in K 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify (+ 0) into 0 3.370 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.373 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.373 * [backup-simplify]: Simplify (- 0) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 3.375 * [taylor]: Taking taylor expansion of 0 in K 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (* -2 (* 1 J)) into (* -2 J) 3.375 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* -2 (/ (cos (/ 1/2 K)) J)) 3.375 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 3.375 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 3.375 * [taylor]: Taking taylor expansion of -2 in K 3.375 * [backup-simplify]: Simplify -2 into -2 3.375 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.375 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.375 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.375 * [taylor]: Taking taylor expansion of 1/2 in K 3.375 * [backup-simplify]: Simplify 1/2 into 1/2 3.375 * [taylor]: Taking taylor expansion of K in K 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.376 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.376 * [taylor]: Taking taylor expansion of J in K 3.376 * [backup-simplify]: Simplify J into J 3.376 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.376 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.376 * [taylor]: Taking taylor expansion of -2 in J 3.376 * [backup-simplify]: Simplify -2 into -2 3.376 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.376 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.376 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.376 * [taylor]: Taking taylor expansion of 1/2 in J 3.376 * [backup-simplify]: Simplify 1/2 into 1/2 3.376 * [taylor]: Taking taylor expansion of K in J 3.376 * [backup-simplify]: Simplify K into K 3.376 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.376 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.376 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.376 * [taylor]: Taking taylor expansion of J in J 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.376 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.377 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.377 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.377 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.377 * [taylor]: Taking taylor expansion of -2 in J 3.377 * [backup-simplify]: Simplify -2 into -2 3.377 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.377 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.377 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.377 * [taylor]: Taking taylor expansion of 1/2 in J 3.377 * [backup-simplify]: Simplify 1/2 into 1/2 3.377 * [taylor]: Taking taylor expansion of K in J 3.377 * [backup-simplify]: Simplify K into K 3.377 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.377 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.377 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.377 * [taylor]: Taking taylor expansion of J in J 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.377 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.377 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.377 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.378 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.378 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.378 * [taylor]: Taking taylor expansion of -2 in K 3.378 * [backup-simplify]: Simplify -2 into -2 3.378 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.378 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.378 * [taylor]: Taking taylor expansion of 1/2 in K 3.378 * [backup-simplify]: Simplify 1/2 into 1/2 3.378 * [taylor]: Taking taylor expansion of K in K 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.378 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.378 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.378 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.378 * [backup-simplify]: Simplify (+ 0) into 0 3.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.381 * [taylor]: Taking taylor expansion of 0 in K 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.382 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.384 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.385 * [taylor]: Taking taylor expansion of 0 in K 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.389 * [backup-simplify]: Simplify (- 0) into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.392 * [taylor]: Taking taylor expansion of 0 in K 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J)) 3.393 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (/ (cos (/ -1/2 K)) J)) 3.393 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 3.393 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 3.393 * [taylor]: Taking taylor expansion of 2 in K 3.393 * [backup-simplify]: Simplify 2 into 2 3.393 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.393 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.393 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.393 * [taylor]: Taking taylor expansion of -1/2 in K 3.393 * [backup-simplify]: Simplify -1/2 into -1/2 3.393 * [taylor]: Taking taylor expansion of K in K 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.393 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.393 * [taylor]: Taking taylor expansion of J in K 3.393 * [backup-simplify]: Simplify J into J 3.393 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.393 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.393 * [taylor]: Taking taylor expansion of 2 in J 3.393 * [backup-simplify]: Simplify 2 into 2 3.393 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.393 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.393 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.393 * [taylor]: Taking taylor expansion of -1/2 in J 3.393 * [backup-simplify]: Simplify -1/2 into -1/2 3.393 * [taylor]: Taking taylor expansion of K in J 3.393 * [backup-simplify]: Simplify K into K 3.393 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.393 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.393 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.393 * [taylor]: Taking taylor expansion of J in J 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.394 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.394 * [backup-simplify]: Simplify (- 0) into 0 3.394 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.394 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.394 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.394 * [taylor]: Taking taylor expansion of 2 in J 3.394 * [backup-simplify]: Simplify 2 into 2 3.394 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.394 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.394 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.394 * [taylor]: Taking taylor expansion of -1/2 in J 3.394 * [backup-simplify]: Simplify -1/2 into -1/2 3.394 * [taylor]: Taking taylor expansion of K in J 3.394 * [backup-simplify]: Simplify K into K 3.394 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.394 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.394 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.394 * [taylor]: Taking taylor expansion of J in J 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.394 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.395 * [backup-simplify]: Simplify (- 0) into 0 3.395 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.395 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.395 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.395 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.395 * [taylor]: Taking taylor expansion of 2 in K 3.395 * [backup-simplify]: Simplify 2 into 2 3.395 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.395 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.395 * [taylor]: Taking taylor expansion of -1/2 in K 3.395 * [backup-simplify]: Simplify -1/2 into -1/2 3.395 * [taylor]: Taking taylor expansion of K in K 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.395 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.395 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.395 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.396 * [backup-simplify]: Simplify (+ 0) into 0 3.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.398 * [taylor]: Taking taylor expansion of 0 in K 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.400 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.402 * [taylor]: Taking taylor expansion of 0 in K 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.405 * [backup-simplify]: Simplify (- 0) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.408 * [taylor]: Taking taylor expansion of 0 in K 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.408 * * * [progress]: simplifying candidates 3.408 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 3.408 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 27 / 102 ] simplifiying candidate #real (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.409 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 3.409 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 45 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.410 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 3.410 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 71 / 102 ] simplifiying candidate #real (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.411 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 3.411 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 89 / 102 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 3.412 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 3.412 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 3.413 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) 1) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) 2) (* (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) 2) (* (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 2) (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) (* 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* (cbrt 2) (cbrt 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 1) (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (/ (* (cbrt U) (cbrt U)) (* 2 J)) 2) (pow (/ (cbrt U) (cos (/ K 2))) 2) (pow (/ (sqrt U) (* 2 J)) 2) (pow (/ (sqrt U) (cos (/ K 2))) 2) (pow (/ 1 (* 2 J)) 2) (pow (/ U (cos (/ K 2))) 2) (pow 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow U 2) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))) (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (* (* -2 J) (cos (/ K 2)))) (exp (* (* -2 J) (cos (/ K 2)))) (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (sqrt (cos (/ K 2)))) (* (* -2 J) 1) (* J (cos (/ K 2))) (real->posit16 (* (* -2 J) (cos (/ K 2)))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* -2 J) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 3.415 * * [simplify]: iteration 0: 179 enodes 3.477 * * [simplify]: iteration 1: 485 enodes 3.721 * * [simplify]: iteration 2: 1519 enodes 4.320 * * [simplify]: iteration complete: 5000 enodes 4.320 * * [simplify]: Extracting #0: cost 71 inf + 0 4.321 * * [simplify]: Extracting #1: cost 844 inf + 4 4.328 * * [simplify]: Extracting #2: cost 1706 inf + 3586 4.343 * * [simplify]: Extracting #3: cost 1723 inf + 22192 4.364 * * [simplify]: Extracting #4: cost 1523 inf + 42832 4.386 * * [simplify]: Extracting #5: cost 1461 inf + 54571 4.413 * * [simplify]: Extracting #6: cost 1103 inf + 139078 4.460 * * [simplify]: Extracting #7: cost 773 inf + 247629 4.531 * * [simplify]: Extracting #8: cost 555 inf + 343456 4.665 * * [simplify]: Extracting #9: cost 147 inf + 550510 4.850 * * [simplify]: Extracting #10: cost 3 inf + 625517 4.999 * * [simplify]: Extracting #11: cost 0 inf + 627003 5.247 * [simplify]: Simplified to: (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (log (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (exp (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (* (* (* -8 J) J) (* (* J (cos (/ K 2))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))) (* (cbrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (cbrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))))) (cbrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))) (sqrt (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (sqrt (* -2 (* (cos (/ K 2)) (* J (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))) -2)) (* (cos (/ K 2)) J)) (* -2 (* J (* (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (cos (/ K 2))))) (* (* (* J -2) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 1))) (* (sqrt (- 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))) (* (* J -2) (cos (/ K 2)))) (real->posit16 (* -2 (* (cos (/ K 2)) (* J (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))))) (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 (* (* (cos (/ K 2)) 2) J))) 1)) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (cbrt (+ (* (/ 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))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 1)) (sqrt (+ (- (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 1)) (sqrt (- 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))) (sqrt (- 1 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) 1/2 (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))) (real->posit16 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) 2 (pow (/ U (* (* (cos (/ K 2)) 2) J)) (* (cbrt 2) (cbrt 2))) (pow (/ U (* (* (cos (/ K 2)) 2) J)) (sqrt 2)) (/ U (* (* (cos (/ K 2)) 2) J)) (* (* (cbrt (/ U (* (* (cos (/ K 2)) 2) J))) (cbrt (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cbrt (/ U (* (* (cos (/ K 2)) 2) J))) (cbrt (/ U (* (* (cos (/ K 2)) 2) J))))) (* (cbrt (/ U (* (* (cos (/ K 2)) 2) J))) (cbrt (/ U (* (* (cos (/ K 2)) 2) J)))) (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)) (* (* (/ (cbrt U) J) (/ (cbrt U) 2)) (* (/ (cbrt U) J) (/ (cbrt U) 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (/ (sqrt U) 2) J) (/ (/ (sqrt U) 2) J)) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (* (log (/ U (* (* (cos (/ K 2)) 2) J))) 2) (exp (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cbrt (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (cbrt (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) (cbrt (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (fabs (/ U (* (* (cos (/ K 2)) 2) J))) (fabs (/ U (* (* (cos (/ K 2)) 2) J))) (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)) (real->posit16 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (exp (* (* J -2) (cos (/ K 2)))) (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))) (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) (cbrt (* (* J -2) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) J) (* -2 (cbrt (cos (/ K 2))))) (* (* J -2) (sqrt (cos (/ K 2)))) (* J -2) (* (cos (/ K 2)) J) (real->posit16 (* (* J -2) (cos (/ K 2)))) 0 (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) 1 (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (* (/ U J) (/ U J)) 1/4) (/ (* (* 1/16 K) K) (* (/ J U) (/ J U)))) (* (/ (* U U) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 1/4) (* (/ (* U U) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 1/4) (* J -2) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) 5.256 * * * [progress]: adding candidates to table 5.768 * * [progress]: iteration 2 / 4 5.768 * * * [progress]: picking best candidate 5.811 * * * * [pick]: Picked # 5.811 * * * [progress]: localizing error 5.863 * * * [progress]: generating rewritten candidates 5.863 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.148 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 6.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 2) 6.469 * * * [progress]: generating series expansions 6.469 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.470 * [backup-simplify]: Simplify (* (* -2 J) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (cos (/ K 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 6.470 * [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 U K) around 0 6.470 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.470 * [taylor]: Taking taylor expansion of -2 in K 6.470 * [backup-simplify]: Simplify -2 into -2 6.470 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.470 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.470 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.470 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.470 * [taylor]: Taking taylor expansion of 1/2 in K 6.470 * [backup-simplify]: Simplify 1/2 into 1/2 6.470 * [taylor]: Taking taylor expansion of K in K 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.471 * [taylor]: Taking taylor expansion of J in K 6.471 * [backup-simplify]: Simplify J into J 6.471 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.471 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.471 * [taylor]: Taking taylor expansion of 1/4 in K 6.471 * [backup-simplify]: Simplify 1/4 into 1/4 6.471 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.471 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.471 * [taylor]: Taking taylor expansion of U in K 6.471 * [backup-simplify]: Simplify U into U 6.471 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.471 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.471 * [taylor]: Taking taylor expansion of 1/2 in K 6.471 * [backup-simplify]: Simplify 1/2 into 1/2 6.471 * [taylor]: Taking taylor expansion of K in K 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.472 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.472 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.472 * [taylor]: Taking taylor expansion of J in K 6.472 * [backup-simplify]: Simplify J into J 6.472 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.472 * [backup-simplify]: Simplify (* 1 1) into 1 6.473 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.473 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.473 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.473 * [taylor]: Taking taylor expansion of 1 in K 6.473 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.473 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.473 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.473 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.473 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.473 * [backup-simplify]: Simplify (+ 0) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.474 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.475 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.475 * [taylor]: Taking taylor expansion of -2 in U 6.475 * [backup-simplify]: Simplify -2 into -2 6.475 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.475 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.475 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.475 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.475 * [taylor]: Taking taylor expansion of 1/2 in U 6.475 * [backup-simplify]: Simplify 1/2 into 1/2 6.475 * [taylor]: Taking taylor expansion of K in U 6.475 * [backup-simplify]: Simplify K into K 6.475 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.475 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.475 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.475 * [taylor]: Taking taylor expansion of J in U 6.475 * [backup-simplify]: Simplify J into J 6.475 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.475 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.475 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.475 * [taylor]: Taking taylor expansion of 1/4 in U 6.475 * [backup-simplify]: Simplify 1/4 into 1/4 6.475 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.475 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.475 * [taylor]: Taking taylor expansion of U in U 6.475 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.476 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.476 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.476 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.476 * [taylor]: Taking taylor expansion of 1/2 in U 6.476 * [backup-simplify]: Simplify 1/2 into 1/2 6.476 * [taylor]: Taking taylor expansion of K in U 6.476 * [backup-simplify]: Simplify K into K 6.476 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.476 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.476 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.476 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.476 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.476 * [backup-simplify]: Simplify (- 0) into 0 6.476 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.476 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.476 * [taylor]: Taking taylor expansion of J in U 6.476 * [backup-simplify]: Simplify J into J 6.476 * [backup-simplify]: Simplify (* 1 1) into 1 6.477 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.477 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.477 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.477 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.477 * [taylor]: Taking taylor expansion of 1 in U 6.477 * [backup-simplify]: Simplify 1 into 1 6.477 * [backup-simplify]: Simplify (+ 0 1) into 1 6.477 * [backup-simplify]: Simplify (sqrt 1) into 1 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.478 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.478 * [taylor]: Taking taylor expansion of -2 in J 6.478 * [backup-simplify]: Simplify -2 into -2 6.478 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.478 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.478 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.478 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.478 * [taylor]: Taking taylor expansion of 1/2 in J 6.478 * [backup-simplify]: Simplify 1/2 into 1/2 6.478 * [taylor]: Taking taylor expansion of K in J 6.478 * [backup-simplify]: Simplify K into K 6.478 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.478 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.478 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.478 * [taylor]: Taking taylor expansion of J in J 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 1 into 1 6.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.478 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.478 * [taylor]: Taking taylor expansion of 1/4 in J 6.478 * [backup-simplify]: Simplify 1/4 into 1/4 6.478 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.478 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.478 * [taylor]: Taking taylor expansion of U in J 6.478 * [backup-simplify]: Simplify U into U 6.478 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.479 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.479 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.479 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.479 * [taylor]: Taking taylor expansion of 1/2 in J 6.479 * [backup-simplify]: Simplify 1/2 into 1/2 6.479 * [taylor]: Taking taylor expansion of K in J 6.479 * [backup-simplify]: Simplify K into K 6.479 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.479 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.479 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.479 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.479 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.479 * [backup-simplify]: Simplify (- 0) into 0 6.479 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.479 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.479 * [taylor]: Taking taylor expansion of J in J 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.479 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.479 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.480 * [backup-simplify]: Simplify (* 1 1) into 1 6.480 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.480 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.480 * [taylor]: Taking taylor expansion of 1 in J 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.480 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.480 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.480 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.481 * [backup-simplify]: Simplify (+ 0) into 0 6.481 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.482 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.483 * [backup-simplify]: Simplify (- 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.483 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.484 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.484 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.484 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.484 * [taylor]: Taking taylor expansion of -2 in J 6.484 * [backup-simplify]: Simplify -2 into -2 6.484 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.484 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.485 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.485 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.485 * [taylor]: Taking taylor expansion of 1/2 in J 6.485 * [backup-simplify]: Simplify 1/2 into 1/2 6.485 * [taylor]: Taking taylor expansion of K in J 6.485 * [backup-simplify]: Simplify K into K 6.485 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.485 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.485 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.485 * [taylor]: Taking taylor expansion of J in J 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 1 into 1 6.485 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.485 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.485 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.485 * [taylor]: Taking taylor expansion of 1/4 in J 6.485 * [backup-simplify]: Simplify 1/4 into 1/4 6.485 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.485 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.485 * [taylor]: Taking taylor expansion of U in J 6.485 * [backup-simplify]: Simplify U into U 6.485 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.485 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.485 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.485 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.485 * [taylor]: Taking taylor expansion of 1/2 in J 6.485 * [backup-simplify]: Simplify 1/2 into 1/2 6.485 * [taylor]: Taking taylor expansion of K in J 6.485 * [backup-simplify]: Simplify K into K 6.485 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.485 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.485 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.485 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.485 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.485 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.486 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.486 * [taylor]: Taking taylor expansion of J in J 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.486 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.486 * [backup-simplify]: Simplify (* 1 1) into 1 6.486 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.486 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.486 * [taylor]: Taking taylor expansion of 1 in J 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.486 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.487 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.487 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.487 * [backup-simplify]: Simplify (+ 0) into 0 6.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.489 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.489 * [backup-simplify]: Simplify (- 0) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.489 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.489 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.490 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.490 * [backup-simplify]: Simplify (+ 0 0) into 0 6.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.491 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.491 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.491 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.491 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.491 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 6.491 * [backup-simplify]: Simplify (* -2 0) into 0 6.491 * [taylor]: Taking taylor expansion of 0 in U 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [taylor]: Taking taylor expansion of 0 in K 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify (+ 0) into 0 6.492 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.493 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.493 * [backup-simplify]: Simplify (- 0) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.494 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 6.494 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 6.494 * [taylor]: Taking taylor expansion of (- U) in U 6.495 * [taylor]: Taking taylor expansion of U in U 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (- 0) into 0 6.495 * [taylor]: Taking taylor expansion of 0 in K 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [taylor]: Taking taylor expansion of 0 in K 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.497 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.498 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.498 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.498 * [backup-simplify]: Simplify (- 0) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.502 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.502 * [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 6.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 1) into 1 6.504 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 6.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.508 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.508 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.509 * [backup-simplify]: Simplify (- 0) into 0 6.509 * [backup-simplify]: Simplify (+ 0 0) into 0 6.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 6.511 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 6.511 * [taylor]: Taking taylor expansion of 0 in U 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [taylor]: Taking taylor expansion of 0 in K 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify (- 1) into -1 6.511 * [taylor]: Taking taylor expansion of -1 in K 6.511 * [backup-simplify]: Simplify -1 into -1 6.511 * [backup-simplify]: Simplify -1 into -1 6.511 * [taylor]: Taking taylor expansion of 0 in K 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.519 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.519 * [backup-simplify]: Simplify (- 0) into 0 6.519 * [backup-simplify]: Simplify (+ 0 0) into 0 6.520 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.521 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.522 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.523 * [backup-simplify]: Simplify (+ 0 0) into 0 6.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 6.524 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.524 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.526 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.527 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (/ (pow (cos (* 1/2 K)) 2) U) 6.529 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) 6.529 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U 6.529 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U 6.529 * [taylor]: Taking taylor expansion of 2 in U 6.529 * [backup-simplify]: Simplify 2 into 2 6.529 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U 6.529 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.529 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.529 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.529 * [taylor]: Taking taylor expansion of 1/2 in U 6.529 * [backup-simplify]: Simplify 1/2 into 1/2 6.529 * [taylor]: Taking taylor expansion of K in U 6.529 * [backup-simplify]: Simplify K into K 6.529 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.529 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.529 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.529 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.529 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.529 * [backup-simplify]: Simplify (- 0) into 0 6.529 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.529 * [taylor]: Taking taylor expansion of U in U 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.530 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.530 * [backup-simplify]: Simplify (+ 0) into 0 6.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.532 * [backup-simplify]: Simplify (- 0) into 0 6.532 * [backup-simplify]: Simplify (+ 0 0) into 0 6.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0 6.533 * [backup-simplify]: Simplify (- 0) into 0 6.533 * [taylor]: Taking taylor expansion of 0 in K 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [taylor]: Taking taylor expansion of 0 in K 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U) 6.534 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (* (sqrt (+ (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J))) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J)))) 1)) (cos (/ (/ 1 K) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 6.534 * [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 U K) around 0 6.534 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 6.534 * [taylor]: Taking taylor expansion of -2 in K 6.534 * [backup-simplify]: Simplify -2 into -2 6.534 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 6.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.534 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.534 * [taylor]: Taking taylor expansion of 1/4 in K 6.534 * [backup-simplify]: Simplify 1/4 into 1/4 6.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.534 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.534 * [taylor]: Taking taylor expansion of J in K 6.534 * [backup-simplify]: Simplify J into J 6.534 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.534 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.534 * [taylor]: Taking taylor expansion of U in K 6.534 * [backup-simplify]: Simplify U into U 6.534 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.534 * [taylor]: Taking taylor expansion of 1/2 in K 6.534 * [backup-simplify]: Simplify 1/2 into 1/2 6.534 * [taylor]: Taking taylor expansion of K in K 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.535 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.535 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.535 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.535 * [taylor]: Taking taylor expansion of 1 in K 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.535 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.536 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.536 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.536 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.536 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.536 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.537 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.537 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.537 * [taylor]: Taking taylor expansion of 1/2 in K 6.537 * [backup-simplify]: Simplify 1/2 into 1/2 6.537 * [taylor]: Taking taylor expansion of K in K 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.538 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.538 * [taylor]: Taking taylor expansion of J in K 6.538 * [backup-simplify]: Simplify J into J 6.538 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.538 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 6.538 * [taylor]: Taking taylor expansion of -2 in U 6.538 * [backup-simplify]: Simplify -2 into -2 6.538 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 6.538 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.538 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.538 * [taylor]: Taking taylor expansion of 1/4 in U 6.538 * [backup-simplify]: Simplify 1/4 into 1/4 6.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.538 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.538 * [taylor]: Taking taylor expansion of J in U 6.538 * [backup-simplify]: Simplify J into J 6.538 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.538 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.538 * [taylor]: Taking taylor expansion of U in U 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.538 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.538 * [taylor]: Taking taylor expansion of 1/2 in U 6.538 * [backup-simplify]: Simplify 1/2 into 1/2 6.538 * [taylor]: Taking taylor expansion of K in U 6.538 * [backup-simplify]: Simplify K into K 6.538 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.538 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.538 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.538 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.539 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.539 * [backup-simplify]: Simplify (- 0) into 0 6.539 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.539 * [backup-simplify]: Simplify (* 1 1) into 1 6.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.539 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.539 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.539 * [taylor]: Taking taylor expansion of 1 in U 6.539 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.540 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.540 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.540 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.540 * [backup-simplify]: Simplify (+ 0) into 0 6.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.542 * [backup-simplify]: Simplify (- 0) into 0 6.542 * [backup-simplify]: Simplify (+ 0 0) into 0 6.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.543 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.543 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.544 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 6.544 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.544 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.544 * [taylor]: Taking taylor expansion of 1/2 in U 6.544 * [backup-simplify]: Simplify 1/2 into 1/2 6.544 * [taylor]: Taking taylor expansion of K in U 6.544 * [backup-simplify]: Simplify K into K 6.544 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.544 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.544 * [taylor]: Taking taylor expansion of J in U 6.544 * [backup-simplify]: Simplify J into J 6.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.544 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.544 * [backup-simplify]: Simplify (- 0) into 0 6.544 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.544 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.544 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.544 * [taylor]: Taking taylor expansion of -2 in J 6.544 * [backup-simplify]: Simplify -2 into -2 6.544 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.544 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.544 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.544 * [taylor]: Taking taylor expansion of 1/4 in J 6.545 * [backup-simplify]: Simplify 1/4 into 1/4 6.545 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.545 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.545 * [taylor]: Taking taylor expansion of J in J 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 1 into 1 6.545 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.545 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.545 * [taylor]: Taking taylor expansion of U in J 6.545 * [backup-simplify]: Simplify U into U 6.545 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.545 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.545 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.545 * [taylor]: Taking taylor expansion of 1/2 in J 6.545 * [backup-simplify]: Simplify 1/2 into 1/2 6.545 * [taylor]: Taking taylor expansion of K in J 6.545 * [backup-simplify]: Simplify K into K 6.545 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.545 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.545 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.545 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.545 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.545 * [backup-simplify]: Simplify (- 0) into 0 6.545 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.546 * [backup-simplify]: Simplify (* 1 1) into 1 6.546 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.546 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.546 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.546 * [taylor]: Taking taylor expansion of 1 in J 6.546 * [backup-simplify]: Simplify 1 into 1 6.546 * [backup-simplify]: Simplify (+ 0 1) into 1 6.546 * [backup-simplify]: Simplify (sqrt 1) into 1 6.547 * [backup-simplify]: Simplify (+ 0 0) into 0 6.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.547 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.547 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.547 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.547 * [taylor]: Taking taylor expansion of 1/2 in J 6.547 * [backup-simplify]: Simplify 1/2 into 1/2 6.547 * [taylor]: Taking taylor expansion of K in J 6.547 * [backup-simplify]: Simplify K into K 6.547 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.547 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.547 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.547 * [taylor]: Taking taylor expansion of J in J 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.547 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.548 * [backup-simplify]: Simplify (- 0) into 0 6.548 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.548 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.548 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.548 * [taylor]: Taking taylor expansion of -2 in J 6.548 * [backup-simplify]: Simplify -2 into -2 6.548 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.548 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.548 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.548 * [taylor]: Taking taylor expansion of 1/4 in J 6.548 * [backup-simplify]: Simplify 1/4 into 1/4 6.548 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.548 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.548 * [taylor]: Taking taylor expansion of J in J 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.548 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.548 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.548 * [taylor]: Taking taylor expansion of U in J 6.548 * [backup-simplify]: Simplify U into U 6.548 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.548 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.548 * [taylor]: Taking taylor expansion of 1/2 in J 6.548 * [backup-simplify]: Simplify 1/2 into 1/2 6.548 * [taylor]: Taking taylor expansion of K in J 6.548 * [backup-simplify]: Simplify K into K 6.548 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.548 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.548 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.548 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.549 * [backup-simplify]: Simplify (- 0) into 0 6.549 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.549 * [backup-simplify]: Simplify (* 1 1) into 1 6.549 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.549 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.549 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.549 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.549 * [taylor]: Taking taylor expansion of 1 in J 6.549 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify (+ 0 1) into 1 6.550 * [backup-simplify]: Simplify (sqrt 1) into 1 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.551 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.551 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.551 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.551 * [taylor]: Taking taylor expansion of 1/2 in J 6.551 * [backup-simplify]: Simplify 1/2 into 1/2 6.551 * [taylor]: Taking taylor expansion of K in J 6.551 * [backup-simplify]: Simplify K into K 6.551 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.551 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.551 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.552 * [taylor]: Taking taylor expansion of J in J 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.552 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.552 * [backup-simplify]: Simplify (- 0) into 0 6.552 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.552 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.552 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.553 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.553 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 6.553 * [taylor]: Taking taylor expansion of -2 in U 6.553 * [backup-simplify]: Simplify -2 into -2 6.553 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.553 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.553 * [taylor]: Taking taylor expansion of 1/2 in U 6.553 * [backup-simplify]: Simplify 1/2 into 1/2 6.553 * [taylor]: Taking taylor expansion of K in U 6.553 * [backup-simplify]: Simplify K into K 6.553 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.553 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.553 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.553 * [backup-simplify]: Simplify (+ 0) into 0 6.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.556 * [backup-simplify]: Simplify (- 0) into 0 6.556 * [backup-simplify]: Simplify (+ 0 0) into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.558 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.558 * [taylor]: Taking taylor expansion of 0 in U 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.558 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.559 * [backup-simplify]: Simplify (- 0) into 0 6.559 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.559 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.559 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 6.559 * [taylor]: Taking taylor expansion of -2 in K 6.559 * [backup-simplify]: Simplify -2 into -2 6.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.559 * [taylor]: Taking taylor expansion of 1/2 in K 6.559 * [backup-simplify]: Simplify 1/2 into 1/2 6.559 * [taylor]: Taking taylor expansion of K in K 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 1 into 1 6.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.560 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.560 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.560 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.563 * [backup-simplify]: Simplify (- 0) into 0 6.564 * [backup-simplify]: Simplify (+ 0 0) into 0 6.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.566 * [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))) 6.566 * [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)))) 6.567 * [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))) 6.568 * [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))))) 6.569 * [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)))))) 6.569 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 6.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 6.569 * [taylor]: Taking taylor expansion of 1/4 in U 6.569 * [backup-simplify]: Simplify 1/4 into 1/4 6.569 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 6.569 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 6.569 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.569 * [taylor]: Taking taylor expansion of U in U 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.569 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.569 * [taylor]: Taking taylor expansion of 1/2 in U 6.569 * [backup-simplify]: Simplify 1/2 into 1/2 6.569 * [taylor]: Taking taylor expansion of K in U 6.569 * [backup-simplify]: Simplify K into K 6.569 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.570 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.570 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.570 * [backup-simplify]: Simplify (* 1 1) into 1 6.570 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.570 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.571 * [backup-simplify]: Simplify (- 0) into 0 6.571 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.571 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.571 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.571 * [backup-simplify]: Simplify (+ 0) into 0 6.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.574 * [backup-simplify]: Simplify (- 0) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.576 * [backup-simplify]: Simplify (- 0) into 0 6.576 * [taylor]: Taking taylor expansion of 0 in K 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [taylor]: Taking taylor expansion of 0 in K 6.576 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (+ 0) into 0 6.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.579 * [backup-simplify]: Simplify (- 0) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.580 * [taylor]: Taking taylor expansion of 0 in K 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.583 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.586 * [backup-simplify]: Simplify (- 0) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.589 * [backup-simplify]: Simplify (+ 0) into 0 6.590 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.591 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.592 * [backup-simplify]: Simplify (- 0) into 0 6.592 * [backup-simplify]: Simplify (+ 0 0) into 0 6.592 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.592 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.592 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.593 * [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 6.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.594 * [backup-simplify]: Simplify (+ 0 0) into 0 6.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 6.596 * [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 6.597 * [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 6.597 * [taylor]: Taking taylor expansion of 0 in U 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.600 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.601 * [backup-simplify]: Simplify (- 0) into 0 6.601 * [backup-simplify]: Simplify (+ 0 0) into 0 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 6.604 * [backup-simplify]: Simplify (- 0) into 0 6.604 * [taylor]: Taking taylor expansion of 0 in K 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [taylor]: Taking taylor expansion of 0 in K 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.605 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J)))) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J))))) 1)) (cos (/ (/ 1 (- K)) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 6.606 * [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 U K) around 0 6.606 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.606 * [taylor]: Taking taylor expansion of 2 in K 6.606 * [backup-simplify]: Simplify 2 into 2 6.606 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.606 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.606 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.606 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.606 * [taylor]: Taking taylor expansion of -1/2 in K 6.606 * [backup-simplify]: Simplify -1/2 into -1/2 6.606 * [taylor]: Taking taylor expansion of K in K 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.607 * [taylor]: Taking taylor expansion of J in K 6.607 * [backup-simplify]: Simplify J into J 6.607 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.607 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.607 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.607 * [taylor]: Taking taylor expansion of 1 in K 6.607 * [backup-simplify]: Simplify 1 into 1 6.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.607 * [taylor]: Taking taylor expansion of 1/4 in K 6.607 * [backup-simplify]: Simplify 1/4 into 1/4 6.607 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.607 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.607 * [taylor]: Taking taylor expansion of J in K 6.607 * [backup-simplify]: Simplify J into J 6.607 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.607 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.607 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.607 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.607 * [taylor]: Taking taylor expansion of -1/2 in K 6.607 * [backup-simplify]: Simplify -1/2 into -1/2 6.607 * [taylor]: Taking taylor expansion of K in K 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.608 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.608 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.608 * [taylor]: Taking taylor expansion of U in K 6.608 * [backup-simplify]: Simplify U into U 6.608 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.608 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.608 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.608 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.608 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.609 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.609 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.609 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.610 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.610 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.610 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.611 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.612 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.612 * [taylor]: Taking taylor expansion of 2 in U 6.612 * [backup-simplify]: Simplify 2 into 2 6.612 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.612 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 6.612 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.612 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.612 * [taylor]: Taking taylor expansion of -1/2 in U 6.613 * [backup-simplify]: Simplify -1/2 into -1/2 6.613 * [taylor]: Taking taylor expansion of K in U 6.613 * [backup-simplify]: Simplify K into K 6.613 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.613 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.613 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.613 * [taylor]: Taking taylor expansion of J in U 6.613 * [backup-simplify]: Simplify J into J 6.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.613 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.613 * [backup-simplify]: Simplify (- 0) into 0 6.613 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.614 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.614 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.614 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.614 * [taylor]: Taking taylor expansion of 1 in U 6.614 * [backup-simplify]: Simplify 1 into 1 6.614 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.614 * [taylor]: Taking taylor expansion of 1/4 in U 6.614 * [backup-simplify]: Simplify 1/4 into 1/4 6.614 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.614 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.614 * [taylor]: Taking taylor expansion of J in U 6.614 * [backup-simplify]: Simplify J into J 6.614 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.614 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.614 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.614 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.614 * [taylor]: Taking taylor expansion of -1/2 in U 6.614 * [backup-simplify]: Simplify -1/2 into -1/2 6.614 * [taylor]: Taking taylor expansion of K in U 6.614 * [backup-simplify]: Simplify K into K 6.614 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.614 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.614 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.614 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.614 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.615 * [backup-simplify]: Simplify (- 0) into 0 6.615 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.615 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.615 * [taylor]: Taking taylor expansion of U in U 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 1 into 1 6.615 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.615 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.616 * [backup-simplify]: Simplify (* 1 1) into 1 6.616 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.616 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.616 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.617 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.617 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.618 * [backup-simplify]: Simplify (+ 0) into 0 6.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.620 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.621 * [backup-simplify]: Simplify (- 0) into 0 6.621 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.622 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.622 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.623 * [backup-simplify]: Simplify (+ 0 0) into 0 6.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.623 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.623 * [taylor]: Taking taylor expansion of 2 in J 6.623 * [backup-simplify]: Simplify 2 into 2 6.624 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.624 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.624 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.624 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.624 * [taylor]: Taking taylor expansion of -1/2 in J 6.624 * [backup-simplify]: Simplify -1/2 into -1/2 6.624 * [taylor]: Taking taylor expansion of K in J 6.624 * [backup-simplify]: Simplify K into K 6.624 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.624 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.624 * [taylor]: Taking taylor expansion of J in J 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 1 into 1 6.624 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.624 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.625 * [backup-simplify]: Simplify (- 0) into 0 6.625 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.625 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.625 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.625 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.625 * [taylor]: Taking taylor expansion of 1 in J 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.625 * [taylor]: Taking taylor expansion of 1/4 in J 6.625 * [backup-simplify]: Simplify 1/4 into 1/4 6.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.625 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.625 * [taylor]: Taking taylor expansion of J in J 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.625 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.625 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.625 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.625 * [taylor]: Taking taylor expansion of -1/2 in J 6.625 * [backup-simplify]: Simplify -1/2 into -1/2 6.625 * [taylor]: Taking taylor expansion of K in J 6.625 * [backup-simplify]: Simplify K into K 6.625 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.625 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.626 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.626 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.626 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.626 * [backup-simplify]: Simplify (- 0) into 0 6.626 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.626 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.626 * [taylor]: Taking taylor expansion of U in J 6.626 * [backup-simplify]: Simplify U into U 6.627 * [backup-simplify]: Simplify (* 1 1) into 1 6.627 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.627 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.627 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.627 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.628 * [backup-simplify]: Simplify (+ 1 0) into 1 6.628 * [backup-simplify]: Simplify (sqrt 1) into 1 6.628 * [backup-simplify]: Simplify (+ 0 0) into 0 6.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.629 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.629 * [taylor]: Taking taylor expansion of 2 in J 6.629 * [backup-simplify]: Simplify 2 into 2 6.629 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.629 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.629 * [taylor]: Taking taylor expansion of -1/2 in J 6.629 * [backup-simplify]: Simplify -1/2 into -1/2 6.629 * [taylor]: Taking taylor expansion of K in J 6.630 * [backup-simplify]: Simplify K into K 6.630 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.630 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.630 * [taylor]: Taking taylor expansion of J in J 6.630 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify 1 into 1 6.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.630 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.633 * [backup-simplify]: Simplify (- 0) into 0 6.633 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.633 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.633 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.633 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.633 * [taylor]: Taking taylor expansion of 1 in J 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.633 * [taylor]: Taking taylor expansion of 1/4 in J 6.633 * [backup-simplify]: Simplify 1/4 into 1/4 6.633 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.633 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.633 * [taylor]: Taking taylor expansion of J in J 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.634 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.634 * [taylor]: Taking taylor expansion of -1/2 in J 6.634 * [backup-simplify]: Simplify -1/2 into -1/2 6.634 * [taylor]: Taking taylor expansion of K in J 6.634 * [backup-simplify]: Simplify K into K 6.634 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.634 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.634 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.634 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.635 * [backup-simplify]: Simplify (- 0) into 0 6.635 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.635 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.635 * [taylor]: Taking taylor expansion of U in J 6.635 * [backup-simplify]: Simplify U into U 6.635 * [backup-simplify]: Simplify (* 1 1) into 1 6.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.635 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.636 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.636 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.636 * [backup-simplify]: Simplify (+ 1 0) into 1 6.637 * [backup-simplify]: Simplify (sqrt 1) into 1 6.637 * [backup-simplify]: Simplify (+ 0 0) into 0 6.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.638 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.638 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.638 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 6.638 * [taylor]: Taking taylor expansion of 2 in U 6.638 * [backup-simplify]: Simplify 2 into 2 6.638 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.638 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.638 * [taylor]: Taking taylor expansion of -1/2 in U 6.638 * [backup-simplify]: Simplify -1/2 into -1/2 6.638 * [taylor]: Taking taylor expansion of K in U 6.638 * [backup-simplify]: Simplify K into K 6.638 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.639 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.639 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.639 * [backup-simplify]: Simplify (+ 0) into 0 6.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.642 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.644 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.644 * [taylor]: Taking taylor expansion of 0 in U 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.644 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.645 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.645 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 6.645 * [taylor]: Taking taylor expansion of 2 in K 6.645 * [backup-simplify]: Simplify 2 into 2 6.645 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.645 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.645 * [taylor]: Taking taylor expansion of -1/2 in K 6.645 * [backup-simplify]: Simplify -1/2 into -1/2 6.645 * [taylor]: Taking taylor expansion of K in K 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 1 into 1 6.645 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.645 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.646 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.646 * [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))) 6.646 * [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)))) 6.648 * [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))) 6.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.651 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.652 * [backup-simplify]: Simplify (- 0) into 0 6.652 * [backup-simplify]: Simplify (+ 0 0) into 0 6.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.655 * [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)))) 6.655 * [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)))) 6.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U 6.655 * [taylor]: Taking taylor expansion of 1/4 in U 6.655 * [backup-simplify]: Simplify 1/4 into 1/4 6.656 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U 6.656 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 6.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.656 * [taylor]: Taking taylor expansion of -1/2 in U 6.656 * [backup-simplify]: Simplify -1/2 into -1/2 6.656 * [taylor]: Taking taylor expansion of K in U 6.656 * [backup-simplify]: Simplify K into K 6.656 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.656 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.656 * [taylor]: Taking taylor expansion of U in U 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.657 * [backup-simplify]: Simplify (- 0) into 0 6.657 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.657 * [backup-simplify]: Simplify (* 1 1) into 1 6.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.657 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.658 * [backup-simplify]: Simplify (+ 0) into 0 6.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.661 * [backup-simplify]: Simplify (- 0) into 0 6.661 * [backup-simplify]: Simplify (+ 0 0) into 0 6.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.662 * [taylor]: Taking taylor expansion of 0 in K 6.662 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [taylor]: Taking taylor expansion of 0 in K 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify (+ 0) into 0 6.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.665 * [backup-simplify]: Simplify (- 0) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.666 * [taylor]: Taking taylor expansion of 0 in K 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.668 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.668 * [backup-simplify]: Simplify (+ 0) into 0 6.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.670 * [backup-simplify]: Simplify (- 0) into 0 6.671 * [backup-simplify]: Simplify (+ 0 0) into 0 6.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.671 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.672 * [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 6.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.673 * [backup-simplify]: Simplify (+ 0 0) into 0 6.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 6.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.682 * [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 6.683 * [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 6.683 * [taylor]: Taking taylor expansion of 0 in U 6.683 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.687 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 6.689 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 6.690 * [taylor]: Taking taylor expansion of 0 in K 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [taylor]: Taking taylor expansion of 0 in K 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.690 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.690 * [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)) 6.690 * [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 6.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.691 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.691 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.691 * [taylor]: Taking taylor expansion of 1/4 in J 6.691 * [backup-simplify]: Simplify 1/4 into 1/4 6.691 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.691 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.691 * [taylor]: Taking taylor expansion of U in J 6.691 * [backup-simplify]: Simplify U into U 6.691 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.691 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.691 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.691 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.691 * [taylor]: Taking taylor expansion of 1/2 in J 6.691 * [backup-simplify]: Simplify 1/2 into 1/2 6.691 * [taylor]: Taking taylor expansion of K in J 6.691 * [backup-simplify]: Simplify K into K 6.691 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.691 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.691 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.691 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.691 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.692 * [backup-simplify]: Simplify (- 0) into 0 6.692 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.692 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.692 * [taylor]: Taking taylor expansion of J in J 6.692 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify 1 into 1 6.692 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.692 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.693 * [backup-simplify]: Simplify (* 1 1) into 1 6.693 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.693 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.693 * [taylor]: Taking taylor expansion of 1 in J 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.694 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.694 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.694 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.695 * [backup-simplify]: Simplify (+ 0) into 0 6.695 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.697 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.697 * [backup-simplify]: Simplify (- 0) into 0 6.698 * [backup-simplify]: Simplify (+ 0 0) into 0 6.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.699 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.699 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.699 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.700 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.700 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.700 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.700 * [taylor]: Taking taylor expansion of 1/4 in K 6.700 * [backup-simplify]: Simplify 1/4 into 1/4 6.700 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.700 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.700 * [taylor]: Taking taylor expansion of U in K 6.700 * [backup-simplify]: Simplify U into U 6.700 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.700 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.700 * [taylor]: Taking taylor expansion of 1/2 in K 6.701 * [backup-simplify]: Simplify 1/2 into 1/2 6.701 * [taylor]: Taking taylor expansion of K in K 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.702 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.702 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.702 * [taylor]: Taking taylor expansion of J in K 6.702 * [backup-simplify]: Simplify J into J 6.702 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.702 * [backup-simplify]: Simplify (* 1 1) into 1 6.702 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.702 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.703 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.703 * [taylor]: Taking taylor expansion of 1 in K 6.703 * [backup-simplify]: Simplify 1 into 1 6.703 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.703 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.703 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.703 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.703 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.704 * [backup-simplify]: Simplify (+ 0) into 0 6.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.705 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.706 * [backup-simplify]: Simplify (+ 0 0) into 0 6.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.706 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.706 * [taylor]: Taking taylor expansion of 1/4 in U 6.707 * [backup-simplify]: Simplify 1/4 into 1/4 6.707 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.707 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.707 * [taylor]: Taking taylor expansion of U in U 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.707 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.707 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.707 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.707 * [taylor]: Taking taylor expansion of 1/2 in U 6.707 * [backup-simplify]: Simplify 1/2 into 1/2 6.707 * [taylor]: Taking taylor expansion of K in U 6.707 * [backup-simplify]: Simplify K into K 6.707 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.707 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.707 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.707 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.708 * [backup-simplify]: Simplify (- 0) into 0 6.708 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.708 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.708 * [taylor]: Taking taylor expansion of J in U 6.708 * [backup-simplify]: Simplify J into J 6.708 * [backup-simplify]: Simplify (* 1 1) into 1 6.708 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.708 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.708 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.709 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.709 * [taylor]: Taking taylor expansion of 1 in U 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [backup-simplify]: Simplify (+ 0 1) into 1 6.709 * [backup-simplify]: Simplify (sqrt 1) into 1 6.710 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.711 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.711 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.711 * [taylor]: Taking taylor expansion of 1/4 in U 6.711 * [backup-simplify]: Simplify 1/4 into 1/4 6.711 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.711 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.711 * [taylor]: Taking taylor expansion of U in U 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 1 into 1 6.711 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.711 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.711 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.711 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.711 * [taylor]: Taking taylor expansion of 1/2 in U 6.711 * [backup-simplify]: Simplify 1/2 into 1/2 6.711 * [taylor]: Taking taylor expansion of K in U 6.711 * [backup-simplify]: Simplify K into K 6.711 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.711 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.711 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.711 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.711 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.712 * [backup-simplify]: Simplify (- 0) into 0 6.712 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.712 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.712 * [taylor]: Taking taylor expansion of J in U 6.712 * [backup-simplify]: Simplify J into J 6.712 * [backup-simplify]: Simplify (* 1 1) into 1 6.712 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.713 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.713 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.713 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.713 * [taylor]: Taking taylor expansion of 1 in U 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (+ 0 1) into 1 6.714 * [backup-simplify]: Simplify (sqrt 1) into 1 6.714 * [backup-simplify]: Simplify (+ 0 0) into 0 6.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.715 * [taylor]: Taking taylor expansion of 1 in K 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of 1 in J 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of 0 in K 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [taylor]: Taking taylor expansion of 0 in J 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [taylor]: Taking taylor expansion of 0 in J 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.716 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.717 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.717 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.717 * [taylor]: Taking taylor expansion of 1/8 in K 6.717 * [backup-simplify]: Simplify 1/8 into 1/8 6.717 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.717 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.717 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.717 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.717 * [taylor]: Taking taylor expansion of 1/2 in K 6.717 * [backup-simplify]: Simplify 1/2 into 1/2 6.717 * [taylor]: Taking taylor expansion of K in K 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 1 into 1 6.718 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.718 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.718 * [taylor]: Taking taylor expansion of J in K 6.718 * [backup-simplify]: Simplify J into J 6.719 * [backup-simplify]: Simplify (* 1 1) into 1 6.719 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.719 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.719 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 6.719 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 6.719 * [taylor]: Taking taylor expansion of 1/8 in J 6.719 * [backup-simplify]: Simplify 1/8 into 1/8 6.719 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.719 * [taylor]: Taking taylor expansion of J in J 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [backup-simplify]: Simplify (* 1 1) into 1 6.719 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 6.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [taylor]: Taking taylor expansion of 0 in J 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [taylor]: Taking taylor expansion of 0 in J 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.721 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.721 * [backup-simplify]: Simplify (+ 0) into 0 6.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.723 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.723 * [backup-simplify]: Simplify (- 0) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.723 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.724 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.725 * [backup-simplify]: Simplify (+ 0 0) into 0 6.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.725 * [taylor]: Taking taylor expansion of 0 in K 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [taylor]: Taking taylor expansion of 0 in J 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.725 * [backup-simplify]: Simplify (+ 0) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.726 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 6.726 * [taylor]: Taking taylor expansion of 0 in J 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [taylor]: Taking taylor expansion of 0 in J 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [taylor]: Taking taylor expansion of 0 in J 6.726 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.727 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [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)) 6.728 * [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 6.728 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.728 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.728 * [taylor]: Taking taylor expansion of 1/4 in J 6.728 * [backup-simplify]: Simplify 1/4 into 1/4 6.728 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.728 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.728 * [taylor]: Taking taylor expansion of J in J 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.728 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.728 * [taylor]: Taking taylor expansion of U in J 6.728 * [backup-simplify]: Simplify U into U 6.728 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.728 * [taylor]: Taking taylor expansion of 1/2 in J 6.728 * [backup-simplify]: Simplify 1/2 into 1/2 6.728 * [taylor]: Taking taylor expansion of K in J 6.728 * [backup-simplify]: Simplify K into K 6.728 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.728 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.728 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.728 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.728 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.729 * [backup-simplify]: Simplify (- 0) into 0 6.729 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.729 * [backup-simplify]: Simplify (* 1 1) into 1 6.729 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.729 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.729 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.729 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.729 * [taylor]: Taking taylor expansion of 1 in J 6.729 * [backup-simplify]: Simplify 1 into 1 6.730 * [backup-simplify]: Simplify (+ 0 1) into 1 6.730 * [backup-simplify]: Simplify (sqrt 1) into 1 6.730 * [backup-simplify]: Simplify (+ 0 0) into 0 6.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.731 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.731 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.731 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.731 * [taylor]: Taking taylor expansion of 1/4 in K 6.731 * [backup-simplify]: Simplify 1/4 into 1/4 6.731 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.731 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.731 * [taylor]: Taking taylor expansion of J in K 6.731 * [backup-simplify]: Simplify J into J 6.731 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.731 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.731 * [taylor]: Taking taylor expansion of U in K 6.731 * [backup-simplify]: Simplify U into U 6.731 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.731 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.731 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.731 * [taylor]: Taking taylor expansion of 1/2 in K 6.731 * [backup-simplify]: Simplify 1/2 into 1/2 6.731 * [taylor]: Taking taylor expansion of K in K 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 1 into 1 6.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.731 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.731 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.731 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.731 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.731 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.732 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.732 * [taylor]: Taking taylor expansion of 1 in K 6.732 * [backup-simplify]: Simplify 1 into 1 6.732 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.732 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.732 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.732 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.732 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.732 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.733 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.733 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.734 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.734 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.734 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.734 * [taylor]: Taking taylor expansion of 1/4 in U 6.734 * [backup-simplify]: Simplify 1/4 into 1/4 6.734 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.734 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.734 * [taylor]: Taking taylor expansion of J in U 6.734 * [backup-simplify]: Simplify J into J 6.734 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.734 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.734 * [taylor]: Taking taylor expansion of U in U 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify 1 into 1 6.734 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.734 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.734 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.734 * [taylor]: Taking taylor expansion of 1/2 in U 6.734 * [backup-simplify]: Simplify 1/2 into 1/2 6.734 * [taylor]: Taking taylor expansion of K in U 6.734 * [backup-simplify]: Simplify K into K 6.734 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.734 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.734 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.734 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.734 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.734 * [backup-simplify]: Simplify (- 0) into 0 6.735 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.735 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.735 * [backup-simplify]: Simplify (* 1 1) into 1 6.735 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.735 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.735 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.735 * [taylor]: Taking taylor expansion of 1 in U 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.735 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.735 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.736 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.736 * [backup-simplify]: Simplify (+ 0) into 0 6.736 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.736 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.737 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.738 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.739 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.739 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.739 * [taylor]: Taking taylor expansion of 1/4 in U 6.739 * [backup-simplify]: Simplify 1/4 into 1/4 6.739 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.739 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.739 * [taylor]: Taking taylor expansion of J in U 6.739 * [backup-simplify]: Simplify J into J 6.739 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.739 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.739 * [taylor]: Taking taylor expansion of U in U 6.739 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify 1 into 1 6.740 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.740 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.740 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.740 * [taylor]: Taking taylor expansion of 1/2 in U 6.740 * [backup-simplify]: Simplify 1/2 into 1/2 6.740 * [taylor]: Taking taylor expansion of K in U 6.740 * [backup-simplify]: Simplify K into K 6.740 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.740 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.740 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.740 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.740 * [backup-simplify]: Simplify (- 0) into 0 6.740 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.740 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.740 * [backup-simplify]: Simplify (* 1 1) into 1 6.741 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.741 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.741 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.741 * [taylor]: Taking taylor expansion of 1 in U 6.741 * [backup-simplify]: Simplify 1 into 1 6.741 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.741 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.741 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.741 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.741 * [backup-simplify]: Simplify (+ 0) into 0 6.742 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.742 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.743 * [backup-simplify]: Simplify (- 0) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.744 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.745 * [backup-simplify]: Simplify (+ 0 0) into 0 6.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 6.745 * [taylor]: Taking taylor expansion of 1/2 in K 6.745 * [backup-simplify]: Simplify 1/2 into 1/2 6.745 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 6.745 * [taylor]: Taking taylor expansion of J in K 6.745 * [backup-simplify]: Simplify J into J 6.745 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.745 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.745 * [taylor]: Taking taylor expansion of 1/2 in K 6.745 * [backup-simplify]: Simplify 1/2 into 1/2 6.745 * [taylor]: Taking taylor expansion of K in K 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.746 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.746 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.746 * [taylor]: Taking taylor expansion of 1/2 in J 6.746 * [backup-simplify]: Simplify 1/2 into 1/2 6.746 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.746 * [taylor]: Taking taylor expansion of J in J 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.746 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.746 * [taylor]: Taking taylor expansion of 1/2 in J 6.746 * [backup-simplify]: Simplify 1/2 into 1/2 6.746 * [taylor]: Taking taylor expansion of K in J 6.746 * [backup-simplify]: Simplify K into K 6.746 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.746 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.746 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.747 * [backup-simplify]: Simplify (- 0) into 0 6.747 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.747 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.747 * [taylor]: Taking taylor expansion of 0 in K 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [taylor]: Taking taylor expansion of 0 in J 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.747 * [taylor]: Taking taylor expansion of 0 in J 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.747 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.748 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.748 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.749 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.749 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.750 * [backup-simplify]: Simplify (- 0) into 0 6.750 * [backup-simplify]: Simplify (+ 0 0) into 0 6.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.752 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.753 * [backup-simplify]: Simplify (+ 0 1) into 1 6.753 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.754 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.754 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.754 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.754 * [taylor]: Taking taylor expansion of 1/2 in K 6.754 * [backup-simplify]: Simplify 1/2 into 1/2 6.754 * [taylor]: Taking taylor expansion of K in K 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.754 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.754 * [taylor]: Taking taylor expansion of J in K 6.754 * [backup-simplify]: Simplify J into J 6.754 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.754 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.754 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.754 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.754 * [taylor]: Taking taylor expansion of 1/2 in J 6.754 * [backup-simplify]: Simplify 1/2 into 1/2 6.754 * [taylor]: Taking taylor expansion of K in J 6.754 * [backup-simplify]: Simplify K into K 6.754 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.754 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.754 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.754 * [taylor]: Taking taylor expansion of J in J 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.754 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.755 * [backup-simplify]: Simplify (- 0) into 0 6.755 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.755 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.755 * [backup-simplify]: Simplify (+ 0) into 0 6.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.756 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.756 * [backup-simplify]: Simplify (- 0) into 0 6.757 * [backup-simplify]: Simplify (+ 0 0) into 0 6.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [taylor]: Taking taylor expansion of 0 in J 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [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 6.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 6.760 * [taylor]: Taking taylor expansion of 0 in J 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify (+ 0) into 0 6.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.762 * [backup-simplify]: Simplify (- 0) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.762 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [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))) 6.763 * [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)))))) 6.763 * [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 6.763 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.763 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.763 * [taylor]: Taking taylor expansion of 1 in J 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.763 * [taylor]: Taking taylor expansion of 1/4 in J 6.763 * [backup-simplify]: Simplify 1/4 into 1/4 6.763 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.763 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.763 * [taylor]: Taking taylor expansion of J in J 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.763 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.763 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.763 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.763 * [taylor]: Taking taylor expansion of -1/2 in J 6.763 * [backup-simplify]: Simplify -1/2 into -1/2 6.763 * [taylor]: Taking taylor expansion of K in J 6.763 * [backup-simplify]: Simplify K into K 6.763 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.763 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.764 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.764 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.764 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.764 * [backup-simplify]: Simplify (- 0) into 0 6.764 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.764 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.764 * [taylor]: Taking taylor expansion of U in J 6.764 * [backup-simplify]: Simplify U into U 6.764 * [backup-simplify]: Simplify (* 1 1) into 1 6.764 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.764 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.765 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.765 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.765 * [backup-simplify]: Simplify (+ 1 0) into 1 6.765 * [backup-simplify]: Simplify (sqrt 1) into 1 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.766 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.766 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.766 * [taylor]: Taking taylor expansion of 1 in K 6.766 * [backup-simplify]: Simplify 1 into 1 6.766 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.766 * [taylor]: Taking taylor expansion of 1/4 in K 6.766 * [backup-simplify]: Simplify 1/4 into 1/4 6.767 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.767 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.767 * [taylor]: Taking taylor expansion of J in K 6.767 * [backup-simplify]: Simplify J into J 6.767 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.767 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.767 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.767 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.767 * [taylor]: Taking taylor expansion of -1/2 in K 6.767 * [backup-simplify]: Simplify -1/2 into -1/2 6.767 * [taylor]: Taking taylor expansion of K in K 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.767 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.767 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.767 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.768 * [taylor]: Taking taylor expansion of U in K 6.768 * [backup-simplify]: Simplify U into U 6.768 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.768 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.768 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.768 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.768 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.768 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.769 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.769 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.770 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.770 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.770 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.771 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.772 * [backup-simplify]: Simplify (+ 0 0) into 0 6.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.773 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.773 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.773 * [taylor]: Taking taylor expansion of 1 in U 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.773 * [taylor]: Taking taylor expansion of 1/4 in U 6.773 * [backup-simplify]: Simplify 1/4 into 1/4 6.773 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.773 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.773 * [taylor]: Taking taylor expansion of J in U 6.773 * [backup-simplify]: Simplify J into J 6.773 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.773 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.773 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.773 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.773 * [taylor]: Taking taylor expansion of -1/2 in U 6.773 * [backup-simplify]: Simplify -1/2 into -1/2 6.773 * [taylor]: Taking taylor expansion of K in U 6.773 * [backup-simplify]: Simplify K into K 6.773 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.773 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.773 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.774 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.774 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.774 * [backup-simplify]: Simplify (- 0) into 0 6.774 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.774 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.774 * [taylor]: Taking taylor expansion of U in U 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 1 into 1 6.774 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.775 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.775 * [backup-simplify]: Simplify (* 1 1) into 1 6.775 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.775 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.775 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.776 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.776 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.776 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.777 * [backup-simplify]: Simplify (+ 0) into 0 6.778 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.778 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.780 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.780 * [backup-simplify]: Simplify (- 0) into 0 6.780 * [backup-simplify]: Simplify (+ 0 0) into 0 6.781 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.781 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.782 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.783 * [backup-simplify]: Simplify (+ 0 0) into 0 6.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.783 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.783 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.783 * [taylor]: Taking taylor expansion of 1 in U 6.783 * [backup-simplify]: Simplify 1 into 1 6.783 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.783 * [taylor]: Taking taylor expansion of 1/4 in U 6.783 * [backup-simplify]: Simplify 1/4 into 1/4 6.783 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.783 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.783 * [taylor]: Taking taylor expansion of J in U 6.783 * [backup-simplify]: Simplify J into J 6.784 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.784 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.784 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.784 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.784 * [taylor]: Taking taylor expansion of -1/2 in U 6.784 * [backup-simplify]: Simplify -1/2 into -1/2 6.784 * [taylor]: Taking taylor expansion of K in U 6.784 * [backup-simplify]: Simplify K into K 6.784 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.784 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.784 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.784 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.784 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.785 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.785 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.785 * [taylor]: Taking taylor expansion of U in U 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.785 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.785 * [backup-simplify]: Simplify (* 1 1) into 1 6.786 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.786 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.786 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.786 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.787 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.787 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.788 * [backup-simplify]: Simplify (+ 0) into 0 6.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.790 * [backup-simplify]: Simplify (- 0) into 0 6.791 * [backup-simplify]: Simplify (+ 0 0) into 0 6.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.791 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.792 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.793 * [backup-simplify]: Simplify (+ 0 0) into 0 6.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 6.794 * [taylor]: Taking taylor expansion of 1/2 in K 6.794 * [backup-simplify]: Simplify 1/2 into 1/2 6.794 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 6.794 * [taylor]: Taking taylor expansion of J in K 6.794 * [backup-simplify]: Simplify J into J 6.794 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.794 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.794 * [taylor]: Taking taylor expansion of -1/2 in K 6.794 * [backup-simplify]: Simplify -1/2 into -1/2 6.794 * [taylor]: Taking taylor expansion of K in K 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.795 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.795 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.795 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.795 * [taylor]: Taking taylor expansion of 1/2 in J 6.795 * [backup-simplify]: Simplify 1/2 into 1/2 6.795 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.795 * [taylor]: Taking taylor expansion of J in J 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.795 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.795 * [taylor]: Taking taylor expansion of -1/2 in J 6.795 * [backup-simplify]: Simplify -1/2 into -1/2 6.795 * [taylor]: Taking taylor expansion of K in J 6.795 * [backup-simplify]: Simplify K into K 6.795 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.795 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.795 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.795 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.795 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.796 * [backup-simplify]: Simplify (- 0) into 0 6.796 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.796 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.796 * [taylor]: Taking taylor expansion of 0 in K 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [taylor]: Taking taylor expansion of 0 in J 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.797 * [taylor]: Taking taylor expansion of 0 in J 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.797 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.798 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.800 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.802 * [backup-simplify]: Simplify (- 0) into 0 6.803 * [backup-simplify]: Simplify (+ 0 0) into 0 6.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.804 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.805 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.806 * [backup-simplify]: Simplify (+ 1 0) into 1 6.807 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.808 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.808 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.808 * [taylor]: Taking taylor expansion of -1/2 in K 6.808 * [backup-simplify]: Simplify -1/2 into -1/2 6.808 * [taylor]: Taking taylor expansion of K in K 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.808 * [taylor]: Taking taylor expansion of J in K 6.808 * [backup-simplify]: Simplify J into J 6.808 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.808 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.808 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.808 * [taylor]: Taking taylor expansion of -1/2 in J 6.809 * [backup-simplify]: Simplify -1/2 into -1/2 6.809 * [taylor]: Taking taylor expansion of K in J 6.809 * [backup-simplify]: Simplify K into K 6.809 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.809 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.809 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.809 * [taylor]: Taking taylor expansion of J in J 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.809 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.809 * [backup-simplify]: Simplify (- 0) into 0 6.810 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.810 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.810 * [backup-simplify]: Simplify (+ 0) into 0 6.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.812 * [backup-simplify]: Simplify (- 0) into 0 6.813 * [backup-simplify]: Simplify (+ 0 0) into 0 6.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [taylor]: Taking taylor expansion of 0 in J 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [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 6.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 6.815 * [taylor]: Taking taylor expansion of 0 in J 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify (+ 0) into 0 6.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.818 * [backup-simplify]: Simplify (- 0) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [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))) 6.819 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 6.819 * [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)))) 6.819 * [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 6.819 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.820 * [taylor]: Taking taylor expansion of 1/4 in J 6.820 * [backup-simplify]: Simplify 1/4 into 1/4 6.820 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.820 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.820 * [taylor]: Taking taylor expansion of U in J 6.820 * [backup-simplify]: Simplify U into U 6.820 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.820 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.820 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.820 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.820 * [taylor]: Taking taylor expansion of 1/2 in J 6.820 * [backup-simplify]: Simplify 1/2 into 1/2 6.820 * [taylor]: Taking taylor expansion of K in J 6.820 * [backup-simplify]: Simplify K into K 6.820 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.820 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.820 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.820 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.820 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.821 * [backup-simplify]: Simplify (- 0) into 0 6.821 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.821 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.821 * [taylor]: Taking taylor expansion of J in J 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.821 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.821 * [backup-simplify]: Simplify (* 1 1) into 1 6.821 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.822 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.822 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.822 * [taylor]: Taking taylor expansion of 1/4 in K 6.822 * [backup-simplify]: Simplify 1/4 into 1/4 6.822 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.822 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.822 * [taylor]: Taking taylor expansion of U in K 6.822 * [backup-simplify]: Simplify U into U 6.822 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.822 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.822 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.822 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.822 * [taylor]: Taking taylor expansion of 1/2 in K 6.822 * [backup-simplify]: Simplify 1/2 into 1/2 6.822 * [taylor]: Taking taylor expansion of K in K 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.823 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.823 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.823 * [taylor]: Taking taylor expansion of J in K 6.823 * [backup-simplify]: Simplify J into J 6.823 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.824 * [backup-simplify]: Simplify (* 1 1) into 1 6.824 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.824 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.824 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.824 * [taylor]: Taking taylor expansion of 1/4 in U 6.824 * [backup-simplify]: Simplify 1/4 into 1/4 6.824 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.824 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.824 * [taylor]: Taking taylor expansion of U in U 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.824 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.824 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.824 * [taylor]: Taking taylor expansion of 1/2 in U 6.824 * [backup-simplify]: Simplify 1/2 into 1/2 6.824 * [taylor]: Taking taylor expansion of K in U 6.824 * [backup-simplify]: Simplify K into K 6.824 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.824 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.824 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.825 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.825 * [backup-simplify]: Simplify (- 0) into 0 6.825 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.825 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.825 * [taylor]: Taking taylor expansion of J in U 6.825 * [backup-simplify]: Simplify J into J 6.825 * [backup-simplify]: Simplify (* 1 1) into 1 6.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.826 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.826 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.826 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.826 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.826 * [taylor]: Taking taylor expansion of 1/4 in U 6.826 * [backup-simplify]: Simplify 1/4 into 1/4 6.826 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.826 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.826 * [taylor]: Taking taylor expansion of U in U 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.826 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.826 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.826 * [taylor]: Taking taylor expansion of 1/2 in U 6.826 * [backup-simplify]: Simplify 1/2 into 1/2 6.826 * [taylor]: Taking taylor expansion of K in U 6.826 * [backup-simplify]: Simplify K into K 6.826 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.827 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.827 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.827 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.827 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.827 * [backup-simplify]: Simplify (- 0) into 0 6.827 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.827 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.827 * [taylor]: Taking taylor expansion of J in U 6.827 * [backup-simplify]: Simplify J into J 6.828 * [backup-simplify]: Simplify (* 1 1) into 1 6.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.828 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.828 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.828 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.828 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.828 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.828 * [taylor]: Taking taylor expansion of 1/4 in K 6.829 * [backup-simplify]: Simplify 1/4 into 1/4 6.829 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.829 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.829 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.829 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.829 * [taylor]: Taking taylor expansion of 1/2 in K 6.829 * [backup-simplify]: Simplify 1/2 into 1/2 6.829 * [taylor]: Taking taylor expansion of K in K 6.829 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify 1 into 1 6.829 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.830 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.830 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.830 * [taylor]: Taking taylor expansion of J in K 6.830 * [backup-simplify]: Simplify J into J 6.830 * [backup-simplify]: Simplify (* 1 1) into 1 6.830 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.831 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.831 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 6.831 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 6.831 * [taylor]: Taking taylor expansion of 1/4 in J 6.831 * [backup-simplify]: Simplify 1/4 into 1/4 6.831 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.831 * [taylor]: Taking taylor expansion of J in J 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.832 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 6.832 * [backup-simplify]: Simplify 1/4 into 1/4 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.832 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.833 * [backup-simplify]: Simplify (+ 0) into 0 6.833 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.835 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.835 * [backup-simplify]: Simplify (- 0) into 0 6.836 * [backup-simplify]: Simplify (+ 0 0) into 0 6.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.836 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.836 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.837 * [taylor]: Taking taylor expansion of 0 in K 6.837 * [backup-simplify]: Simplify 0 into 0 6.837 * [taylor]: Taking taylor expansion of 0 in J 6.837 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.838 * [backup-simplify]: Simplify (+ 0) into 0 6.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.839 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 6.839 * [taylor]: Taking taylor expansion of 0 in J 6.839 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.843 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.844 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.847 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.847 * [backup-simplify]: Simplify (- 0) into 0 6.847 * [backup-simplify]: Simplify (+ 0 0) into 0 6.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.849 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 6.849 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.850 * [taylor]: Taking taylor expansion of 0 in K 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [taylor]: Taking taylor expansion of 0 in J 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [taylor]: Taking taylor expansion of 0 in J 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.852 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.854 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 6.855 * [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))) 6.855 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 6.855 * [taylor]: Taking taylor expansion of 1/16 in J 6.855 * [backup-simplify]: Simplify 1/16 into 1/16 6.855 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 6.855 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.855 * [taylor]: Taking taylor expansion of J in J 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify 1 into 1 6.856 * [backup-simplify]: Simplify (* 1 1) into 1 6.856 * [backup-simplify]: Simplify (/ 1 1) into 1 6.857 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 6.857 * [backup-simplify]: Simplify 1/16 into 1/16 6.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.858 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.860 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.862 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.863 * [backup-simplify]: Simplify (- 0) into 0 6.863 * [backup-simplify]: Simplify (+ 0 0) into 0 6.863 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.864 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 6.864 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 6.865 * [taylor]: Taking taylor expansion of 0 in K 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [taylor]: Taking taylor expansion of 0 in J 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [taylor]: Taking taylor expansion of 0 in J 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [taylor]: Taking taylor expansion of 0 in J 6.865 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 6.869 * [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 6.869 * [taylor]: Taking taylor expansion of 0 in J 6.869 * [backup-simplify]: Simplify 0 into 0 6.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.873 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 6.875 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 6.877 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.877 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.878 * [backup-simplify]: Simplify (- 0) into 0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 6.880 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 6.880 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 6.881 * [taylor]: Taking taylor expansion of 0 in K 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [taylor]: Taking taylor expansion of 0 in J 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [taylor]: Taking taylor expansion of 0 in J 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [taylor]: Taking taylor expansion of 0 in J 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [taylor]: Taking taylor expansion of 0 in J 6.881 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.884 * [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 6.887 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 6.889 * [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))) 6.889 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 6.889 * [taylor]: Taking taylor expansion of 1/96 in J 6.889 * [backup-simplify]: Simplify 1/96 into 1/96 6.889 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 6.889 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.889 * [taylor]: Taking taylor expansion of J in J 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 1 into 1 6.889 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (/ 1 1) into 1 6.890 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 6.890 * [backup-simplify]: Simplify 1/96 into 1/96 6.890 * [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))))) 6.891 * [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)))) 6.891 * [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 6.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.891 * [taylor]: Taking taylor expansion of 1/4 in J 6.891 * [backup-simplify]: Simplify 1/4 into 1/4 6.891 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.891 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.891 * [taylor]: Taking taylor expansion of J in J 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 1 into 1 6.891 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.891 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.891 * [taylor]: Taking taylor expansion of U in J 6.891 * [backup-simplify]: Simplify U into U 6.891 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.891 * [taylor]: Taking taylor expansion of 1/2 in J 6.891 * [backup-simplify]: Simplify 1/2 into 1/2 6.891 * [taylor]: Taking taylor expansion of K in J 6.891 * [backup-simplify]: Simplify K into K 6.891 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.891 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.891 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.891 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.891 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.891 * [backup-simplify]: Simplify (- 0) into 0 6.891 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.892 * [backup-simplify]: Simplify (* 1 1) into 1 6.892 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.892 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.892 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.892 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.892 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.892 * [taylor]: Taking taylor expansion of 1/4 in K 6.892 * [backup-simplify]: Simplify 1/4 into 1/4 6.892 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.892 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.892 * [taylor]: Taking taylor expansion of J in K 6.892 * [backup-simplify]: Simplify J into J 6.892 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.892 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.892 * [taylor]: Taking taylor expansion of U in K 6.892 * [backup-simplify]: Simplify U into U 6.892 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.892 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.892 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.892 * [taylor]: Taking taylor expansion of 1/2 in K 6.892 * [backup-simplify]: Simplify 1/2 into 1/2 6.892 * [taylor]: Taking taylor expansion of K in K 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.893 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.893 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.893 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.893 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.893 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.893 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.893 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.893 * [taylor]: Taking taylor expansion of 1/4 in U 6.893 * [backup-simplify]: Simplify 1/4 into 1/4 6.893 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.893 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.893 * [taylor]: Taking taylor expansion of J in U 6.893 * [backup-simplify]: Simplify J into J 6.893 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.893 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.893 * [taylor]: Taking taylor expansion of U in U 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 1 into 1 6.893 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.893 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.893 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.893 * [taylor]: Taking taylor expansion of 1/2 in U 6.893 * [backup-simplify]: Simplify 1/2 into 1/2 6.893 * [taylor]: Taking taylor expansion of K in U 6.893 * [backup-simplify]: Simplify K into K 6.893 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.893 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.893 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.893 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.894 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.894 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.894 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.894 * [backup-simplify]: Simplify (* 1 1) into 1 6.894 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.894 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.894 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.894 * [taylor]: Taking taylor expansion of 1/4 in U 6.894 * [backup-simplify]: Simplify 1/4 into 1/4 6.894 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.894 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.894 * [taylor]: Taking taylor expansion of J in U 6.895 * [backup-simplify]: Simplify J into J 6.895 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.895 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.895 * [taylor]: Taking taylor expansion of U in U 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.895 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.895 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.895 * [taylor]: Taking taylor expansion of 1/2 in U 6.895 * [backup-simplify]: Simplify 1/2 into 1/2 6.895 * [taylor]: Taking taylor expansion of K in U 6.895 * [backup-simplify]: Simplify K into K 6.895 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.895 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.895 * [backup-simplify]: Simplify (- 0) into 0 6.895 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.895 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.895 * [backup-simplify]: Simplify (* 1 1) into 1 6.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.896 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.896 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.896 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 6.896 * [taylor]: Taking taylor expansion of 1/4 in K 6.896 * [backup-simplify]: Simplify 1/4 into 1/4 6.896 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 6.896 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.896 * [taylor]: Taking taylor expansion of J in K 6.896 * [backup-simplify]: Simplify J into J 6.896 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.896 * [taylor]: Taking taylor expansion of 1/2 in K 6.896 * [backup-simplify]: Simplify 1/2 into 1/2 6.896 * [taylor]: Taking taylor expansion of K in K 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.896 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.897 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.897 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.897 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.897 * [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))) 6.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.897 * [taylor]: Taking taylor expansion of 1/4 in J 6.897 * [backup-simplify]: Simplify 1/4 into 1/4 6.897 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.897 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.897 * [taylor]: Taking taylor expansion of J in J 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.897 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.897 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.897 * [taylor]: Taking taylor expansion of 1/2 in J 6.897 * [backup-simplify]: Simplify 1/2 into 1/2 6.897 * [taylor]: Taking taylor expansion of K in J 6.897 * [backup-simplify]: Simplify K into K 6.897 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.897 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.897 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.897 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.897 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.898 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.898 * [backup-simplify]: Simplify (* 1 1) into 1 6.898 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.898 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.898 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.898 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.898 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.898 * [backup-simplify]: Simplify (+ 0) into 0 6.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.900 * [backup-simplify]: Simplify (- 0) into 0 6.900 * [backup-simplify]: Simplify (+ 0 0) into 0 6.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.901 * [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 6.901 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.902 * [taylor]: Taking taylor expansion of 0 in K 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [taylor]: Taking taylor expansion of 0 in J 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.902 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.902 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.902 * [taylor]: Taking taylor expansion of 0 in J 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.903 * [backup-simplify]: Simplify (+ 0) into 0 6.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.904 * [backup-simplify]: Simplify (- 0) into 0 6.905 * [backup-simplify]: Simplify (+ 0 0) into 0 6.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.905 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.905 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.908 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.908 * [backup-simplify]: Simplify (- 0) into 0 6.908 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.910 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.911 * [taylor]: Taking taylor expansion of 0 in K 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [taylor]: Taking taylor expansion of 0 in J 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [taylor]: Taking taylor expansion of 0 in J 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.912 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.912 * [taylor]: Taking taylor expansion of 0 in J 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [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)))) 6.913 * [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)))) 6.913 * [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 6.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.913 * [taylor]: Taking taylor expansion of 1/4 in J 6.913 * [backup-simplify]: Simplify 1/4 into 1/4 6.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.913 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.913 * [taylor]: Taking taylor expansion of J in J 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 1 into 1 6.913 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.913 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.913 * [taylor]: Taking taylor expansion of -1/2 in J 6.913 * [backup-simplify]: Simplify -1/2 into -1/2 6.913 * [taylor]: Taking taylor expansion of K in J 6.913 * [backup-simplify]: Simplify K into K 6.913 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.913 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.914 * [backup-simplify]: Simplify (- 0) into 0 6.914 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.914 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.914 * [taylor]: Taking taylor expansion of U in J 6.914 * [backup-simplify]: Simplify U into U 6.914 * [backup-simplify]: Simplify (* 1 1) into 1 6.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.914 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.914 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.914 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.914 * [taylor]: Taking taylor expansion of 1/4 in K 6.914 * [backup-simplify]: Simplify 1/4 into 1/4 6.914 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.914 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.914 * [taylor]: Taking taylor expansion of J in K 6.915 * [backup-simplify]: Simplify J into J 6.915 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.915 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.915 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.915 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.915 * [taylor]: Taking taylor expansion of -1/2 in K 6.915 * [backup-simplify]: Simplify -1/2 into -1/2 6.915 * [taylor]: Taking taylor expansion of K in K 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.915 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.915 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.915 * [taylor]: Taking taylor expansion of U in K 6.915 * [backup-simplify]: Simplify U into U 6.915 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.915 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.915 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.915 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.915 * [taylor]: Taking taylor expansion of 1/4 in U 6.915 * [backup-simplify]: Simplify 1/4 into 1/4 6.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.915 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.915 * [taylor]: Taking taylor expansion of J in U 6.916 * [backup-simplify]: Simplify J into J 6.916 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.916 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.916 * [taylor]: Taking taylor expansion of -1/2 in U 6.916 * [backup-simplify]: Simplify -1/2 into -1/2 6.916 * [taylor]: Taking taylor expansion of K in U 6.916 * [backup-simplify]: Simplify K into K 6.916 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.916 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.916 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.916 * [backup-simplify]: Simplify (- 0) into 0 6.916 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.916 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.916 * [taylor]: Taking taylor expansion of U in U 6.916 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify 1 into 1 6.916 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.917 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.917 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.917 * [taylor]: Taking taylor expansion of 1/4 in U 6.917 * [backup-simplify]: Simplify 1/4 into 1/4 6.917 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.917 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.917 * [taylor]: Taking taylor expansion of J in U 6.917 * [backup-simplify]: Simplify J into J 6.917 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.917 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.917 * [taylor]: Taking taylor expansion of -1/2 in U 6.917 * [backup-simplify]: Simplify -1/2 into -1/2 6.917 * [taylor]: Taking taylor expansion of K in U 6.917 * [backup-simplify]: Simplify K into K 6.917 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.917 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.917 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.917 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.917 * [backup-simplify]: Simplify (- 0) into 0 6.918 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.918 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.918 * [taylor]: Taking taylor expansion of U in U 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.918 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.918 * [backup-simplify]: Simplify (* 1 1) into 1 6.918 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.918 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.918 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.918 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 6.918 * [taylor]: Taking taylor expansion of 1/4 in K 6.918 * [backup-simplify]: Simplify 1/4 into 1/4 6.918 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 6.918 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.918 * [taylor]: Taking taylor expansion of J in K 6.918 * [backup-simplify]: Simplify J into J 6.918 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.918 * [taylor]: Taking taylor expansion of -1/2 in K 6.918 * [backup-simplify]: Simplify -1/2 into -1/2 6.918 * [taylor]: Taking taylor expansion of K in K 6.918 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.919 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.919 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.919 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.919 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.919 * [taylor]: Taking taylor expansion of 1/4 in J 6.919 * [backup-simplify]: Simplify 1/4 into 1/4 6.919 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.919 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.919 * [taylor]: Taking taylor expansion of J in J 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.919 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.919 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.919 * [taylor]: Taking taylor expansion of -1/2 in J 6.919 * [backup-simplify]: Simplify -1/2 into -1/2 6.919 * [taylor]: Taking taylor expansion of K in J 6.919 * [backup-simplify]: Simplify K into K 6.919 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.920 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.920 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.920 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.920 * [backup-simplify]: Simplify (- 0) into 0 6.920 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.920 * [backup-simplify]: Simplify (* 1 1) into 1 6.920 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.920 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.920 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.920 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.921 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.921 * [backup-simplify]: Simplify (+ 0) into 0 6.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.923 * [backup-simplify]: Simplify (- 0) into 0 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.924 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.924 * [taylor]: Taking taylor expansion of 0 in K 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [taylor]: Taking taylor expansion of 0 in J 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.924 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.925 * [taylor]: Taking taylor expansion of 0 in J 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.925 * [backup-simplify]: Simplify (+ 0) into 0 6.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.927 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.927 * [backup-simplify]: Simplify (- 0) into 0 6.927 * [backup-simplify]: Simplify (+ 0 0) into 0 6.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.927 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.931 * [backup-simplify]: Simplify (- 0) into 0 6.931 * [backup-simplify]: Simplify (+ 0 0) into 0 6.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.932 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.932 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.933 * [taylor]: Taking taylor expansion of 0 in K 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [taylor]: Taking taylor expansion of 0 in J 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [taylor]: Taking taylor expansion of 0 in J 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.934 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.934 * [taylor]: Taking taylor expansion of 0 in J 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [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)))) 6.935 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 2) 6.935 * [backup-simplify]: Simplify (* (* (cos (/ K 2)) 2) J) into (* 2 (* (cos (* 1/2 K)) J)) 6.935 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0 6.935 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 6.935 * [taylor]: Taking taylor expansion of 2 in J 6.935 * [backup-simplify]: Simplify 2 into 2 6.935 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.935 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.935 * [taylor]: Taking taylor expansion of 1/2 in J 6.935 * [backup-simplify]: Simplify 1/2 into 1/2 6.935 * [taylor]: Taking taylor expansion of K in J 6.935 * [backup-simplify]: Simplify K into K 6.935 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.935 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.935 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.935 * [taylor]: Taking taylor expansion of J in J 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.935 * [taylor]: Taking taylor expansion of 2 in K 6.935 * [backup-simplify]: Simplify 2 into 2 6.935 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.935 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.935 * [taylor]: Taking taylor expansion of 1/2 in K 6.935 * [backup-simplify]: Simplify 1/2 into 1/2 6.935 * [taylor]: Taking taylor expansion of K in K 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.936 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.936 * [taylor]: Taking taylor expansion of J in K 6.936 * [backup-simplify]: Simplify J into J 6.936 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.936 * [taylor]: Taking taylor expansion of 2 in K 6.936 * [backup-simplify]: Simplify 2 into 2 6.936 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.936 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.936 * [taylor]: Taking taylor expansion of 1/2 in K 6.936 * [backup-simplify]: Simplify 1/2 into 1/2 6.936 * [taylor]: Taking taylor expansion of K in K 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.937 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.937 * [taylor]: Taking taylor expansion of J in K 6.937 * [backup-simplify]: Simplify J into J 6.937 * [backup-simplify]: Simplify (* 1 J) into J 6.937 * [backup-simplify]: Simplify (* 2 J) into (* 2 J) 6.937 * [taylor]: Taking taylor expansion of (* 2 J) in J 6.937 * [taylor]: Taking taylor expansion of 2 in J 6.937 * [backup-simplify]: Simplify 2 into 2 6.937 * [taylor]: Taking taylor expansion of J in J 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [backup-simplify]: Simplify (* 2 0) into 0 6.937 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify (+ 0) into 0 6.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0 6.938 * [taylor]: Taking taylor expansion of 0 in J 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.939 * [backup-simplify]: Simplify 2 into 2 6.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 6.942 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J)) 6.942 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J 6.942 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 6.942 * [taylor]: Taking taylor expansion of 1/4 in J 6.942 * [backup-simplify]: Simplify 1/4 into 1/4 6.942 * [taylor]: Taking taylor expansion of J in J 6.942 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify 1 into 1 6.942 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.943 * [backup-simplify]: Simplify (- 0) into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.944 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.946 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 6.949 * [taylor]: Taking taylor expansion of 0 in J 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 6.950 * [backup-simplify]: Simplify (- 1/4) into -1/4 6.950 * [backup-simplify]: Simplify -1/4 into -1/4 6.950 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.951 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.955 * [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 6.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 6.958 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J) 6.958 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 6.958 * [taylor]: Taking taylor expansion of 1/192 in J 6.958 * [backup-simplify]: Simplify 1/192 into 1/192 6.958 * [taylor]: Taking taylor expansion of J in J 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.959 * [backup-simplify]: Simplify (* 1/192 0) into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 6.960 * [backup-simplify]: Simplify (- 0) into 0 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J))) 6.961 * [backup-simplify]: Simplify (* (* (cos (/ (/ 1 K) 2)) 2) (/ 1 J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.961 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 6.961 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.961 * [taylor]: Taking taylor expansion of 2 in J 6.961 * [backup-simplify]: Simplify 2 into 2 6.961 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.961 * [taylor]: Taking taylor expansion of 1/2 in J 6.961 * [backup-simplify]: Simplify 1/2 into 1/2 6.961 * [taylor]: Taking taylor expansion of K in J 6.961 * [backup-simplify]: Simplify K into K 6.961 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.961 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.961 * [taylor]: Taking taylor expansion of J in J 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.962 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.962 * [backup-simplify]: Simplify (- 0) into 0 6.962 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.962 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.962 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.962 * [taylor]: Taking taylor expansion of 2 in K 6.962 * [backup-simplify]: Simplify 2 into 2 6.962 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.962 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.962 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.962 * [taylor]: Taking taylor expansion of 1/2 in K 6.962 * [backup-simplify]: Simplify 1/2 into 1/2 6.962 * [taylor]: Taking taylor expansion of K in K 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.963 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.963 * [taylor]: Taking taylor expansion of J in K 6.963 * [backup-simplify]: Simplify J into J 6.963 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.963 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.963 * [taylor]: Taking taylor expansion of 2 in K 6.963 * [backup-simplify]: Simplify 2 into 2 6.963 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.963 * [taylor]: Taking taylor expansion of 1/2 in K 6.963 * [backup-simplify]: Simplify 1/2 into 1/2 6.963 * [taylor]: Taking taylor expansion of K in K 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.965 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.965 * [taylor]: Taking taylor expansion of J in K 6.965 * [backup-simplify]: Simplify J into J 6.965 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.965 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.965 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.965 * [taylor]: Taking taylor expansion of 2 in J 6.965 * [backup-simplify]: Simplify 2 into 2 6.965 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.965 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.965 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.965 * [taylor]: Taking taylor expansion of 1/2 in J 6.965 * [backup-simplify]: Simplify 1/2 into 1/2 6.965 * [taylor]: Taking taylor expansion of K in J 6.965 * [backup-simplify]: Simplify K into K 6.966 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.966 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.966 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.966 * [taylor]: Taking taylor expansion of J in J 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.966 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.966 * [backup-simplify]: Simplify (- 0) into 0 6.966 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.967 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.967 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.967 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.967 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 6.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 6.968 * [taylor]: Taking taylor expansion of 0 in J 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify (+ 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.970 * [backup-simplify]: Simplify (- 0) into 0 6.971 * [backup-simplify]: Simplify (+ 0 0) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.972 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 6.973 * [taylor]: Taking taylor expansion of 0 in J 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.977 * [backup-simplify]: Simplify (- 0) into 0 6.977 * [backup-simplify]: Simplify (+ 0 0) into 0 6.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 6.981 * [taylor]: Taking taylor expansion of 0 in J 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.986 * [backup-simplify]: Simplify (- 0) into 0 6.986 * [backup-simplify]: Simplify (+ 0 0) into 0 6.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 6.989 * [backup-simplify]: Simplify (* (* (cos (/ (/ 1 (- K)) 2)) 2) (/ 1 (- J))) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.990 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 6.990 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.990 * [taylor]: Taking taylor expansion of -2 in J 6.990 * [backup-simplify]: Simplify -2 into -2 6.990 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.990 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.990 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.990 * [taylor]: Taking taylor expansion of -1/2 in J 6.990 * [backup-simplify]: Simplify -1/2 into -1/2 6.990 * [taylor]: Taking taylor expansion of K in J 6.990 * [backup-simplify]: Simplify K into K 6.990 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.990 * [taylor]: Taking taylor expansion of J in J 6.990 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify 1 into 1 6.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.991 * [backup-simplify]: Simplify (- 0) into 0 6.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.991 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.991 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.991 * [taylor]: Taking taylor expansion of -2 in K 6.991 * [backup-simplify]: Simplify -2 into -2 6.991 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.991 * [taylor]: Taking taylor expansion of -1/2 in K 6.991 * [backup-simplify]: Simplify -1/2 into -1/2 6.991 * [taylor]: Taking taylor expansion of K in K 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.991 * [taylor]: Taking taylor expansion of J in K 6.991 * [backup-simplify]: Simplify J into J 6.992 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.992 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.992 * [taylor]: Taking taylor expansion of -2 in K 6.992 * [backup-simplify]: Simplify -2 into -2 6.992 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.992 * [taylor]: Taking taylor expansion of -1/2 in K 6.992 * [backup-simplify]: Simplify -1/2 into -1/2 6.992 * [taylor]: Taking taylor expansion of K in K 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.992 * [taylor]: Taking taylor expansion of J in K 6.992 * [backup-simplify]: Simplify J into J 6.992 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.993 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.993 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.993 * [taylor]: Taking taylor expansion of -2 in J 6.993 * [backup-simplify]: Simplify -2 into -2 6.993 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.993 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.993 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.993 * [taylor]: Taking taylor expansion of -1/2 in J 6.993 * [backup-simplify]: Simplify -1/2 into -1/2 6.993 * [taylor]: Taking taylor expansion of K in J 6.993 * [backup-simplify]: Simplify K into K 6.993 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.993 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.993 * [taylor]: Taking taylor expansion of J in J 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.994 * [backup-simplify]: Simplify (- 0) into 0 6.994 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.994 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.994 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.994 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.994 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 6.995 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 6.995 * [taylor]: Taking taylor expansion of 0 in J 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify (+ 0) into 0 6.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.997 * [backup-simplify]: Simplify (- 0) into 0 6.998 * [backup-simplify]: Simplify (+ 0 0) into 0 6.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.000 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 7.000 * [taylor]: Taking taylor expansion of 0 in J 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.006 * [backup-simplify]: Simplify (- 0) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.010 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 7.010 * [taylor]: Taking taylor expansion of 0 in J 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.014 * [backup-simplify]: Simplify (- 0) into 0 7.014 * [backup-simplify]: Simplify (+ 0 0) into 0 7.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 7.017 * * * [progress]: simplifying candidates 7.017 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 7.018 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 24 / 143 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (cos (/ K 2)))))))> 7.019 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 7.019 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 41 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cos (/ K 2)))))> 7.020 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 7.020 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 7.021 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 7.022 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 7.023 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 7.024 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> 7.025 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 7.025 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 7.026 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> 7.027 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 7.027 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 7.030 * [simplify]: Simplifying: (* (* -2 J) (* (sqrt (+ (* (/ U (* (* (cos (/ K 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(* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (+ (* 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))))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (- (* 2 J) (* 1/4 (* (pow K 2) J))) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) 7.037 * * [simplify]: iteration 0: 237 enodes 7.109 * * [simplify]: iteration 1: 712 enodes 7.686 * * [simplify]: iteration 2: 3237 enodes 8.797 * * [simplify]: iteration complete: 5003 enodes 8.798 * * [simplify]: Extracting #0: cost 79 inf + 0 8.801 * * [simplify]: Extracting #1: cost 862 inf + 3 8.812 * * [simplify]: Extracting #2: cost 1894 inf + 1344 8.828 * * [simplify]: Extracting #3: cost 1794 inf + 22714 8.851 * * [simplify]: Extracting #4: cost 1602 inf + 51305 8.915 * * [simplify]: Extracting #5: cost 972 inf + 233637 9.036 * * [simplify]: Extracting #6: cost 266 inf + 479766 9.176 * * [simplify]: Extracting #7: cost 28 inf + 574170 9.360 * * [simplify]: Extracting #8: cost 0 inf + 575699 9.534 * * [simplify]: Extracting #9: cost 0 inf + 571566 9.680 * * [simplify]: Extracting #10: cost 0 inf + 571485 9.847 * [simplify]: Simplified to: (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2))) (log (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2)))) (log (* (* (* -2 J) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) (cos (/ K 2)))) (log (* (* (* 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(/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) -1)) 1/2 (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))) (real->posit16 (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 2 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 2 (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos (/ K 2)) 2)) J))) (* 2 (log (/ (/ U (* (cos 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J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (* (cbrt (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (cbrt (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (cbrt (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) (fabs (/ (/ U (* (cos (/ K 2)) 2)) J)) (fabs (/ (/ U (* (cos (/ K 2)) 2)) J)) (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J))) (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J) (* (/ (* (cbrt U) (cbrt U)) (* 2 (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* 2 (cos (/ K 2))))) (* (/ (cbrt U) J) (/ (cbrt U) J)) (/ (/ U (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)) (/ (/ U J) J) (* (/ 1 (* 2 (cos (/ K 2)))) (/ 1 (* 2 (cos (/ K 2))))) (* (/ U J) (/ U J)) 1 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) (* U U) (/ (/ 1 (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J) 2 (* (* (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J)) (cbrt (/ (/ U (* (cos (/ K 2)) 2)) J))) (/ (/ U (* (cos 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2) J) (log (* (* (cos (/ K 2)) 2) J)) (log (* (* (cos (/ K 2)) 2) J)) (log (* (* (cos (/ K 2)) 2) J)) (exp (* (* (cos (/ K 2)) 2) J)) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (* (cbrt (* (* (cos (/ K 2)) 2) J)) (cbrt (* (* (cos (/ K 2)) 2) J))) (cbrt (* (* (cos (/ K 2)) 2) J)) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) (sqrt (* (* (cos (/ K 2)) 2) J)) (sqrt (* (* (cos (/ K 2)) 2) J)) (* (cos (/ K 2)) (* 2 (* (cbrt J) (cbrt J)))) (* (* (cos (/ K 2)) 2) (sqrt J)) (* (cos (/ K 2)) 2) (* J 2) (real->posit16 (* (* (cos (/ K 2)) 2) J)) (- U) (* (* -2 J) (cos (* 1/2 K))) (* (* -2 J) (cos (* 1/2 K))) 1 (/ (/ (* U 1/2) J) (cos (* 1/2 K))) (/ (/ (* U 1/2) J) (cos (* 1/2 K))) (+ (/ (* (* 1/96 (* U U)) (* (* K K) (* K K))) (* J J)) (+ (* 1/4 (* (/ U J) (/ U J))) (/ (* 1/16 (* K K)) (/ (* J J) (* U U))))) (/ (* 1/4 (* (/ U J) (/ U J))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (/ (* 1/4 (* (/ U J) (/ U J))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (* J (- 2 (* (* K K) 1/4))) (* (cos (* 1/2 K)) (* J 2)) (* (cos (* 1/2 K)) (* J 2)) 9.878 * * * [progress]: adding candidates to table 10.407 * * [progress]: iteration 3 / 4 10.407 * * * [progress]: picking best candidate 10.455 * * * * [pick]: Picked # 10.455 * * * [progress]: localizing error 10.526 * * * [progress]: generating rewritten candidates 10.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.636 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.696 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 10.760 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 10.820 * * * [progress]: generating series expansions 10.820 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.821 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 10.821 * [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 J K) around 0 10.821 * [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 10.821 * [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 10.821 * [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 10.821 * [taylor]: Taking taylor expansion of 1/4 in K 10.821 * [backup-simplify]: Simplify 1/4 into 1/4 10.821 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.821 * [taylor]: Taking taylor expansion of 1/4 in K 10.821 * [backup-simplify]: Simplify 1/4 into 1/4 10.821 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.821 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.821 * [taylor]: Taking taylor expansion of U in K 10.821 * [backup-simplify]: Simplify U into U 10.821 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.821 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.821 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.821 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.821 * [taylor]: Taking taylor expansion of 1/2 in K 10.821 * [backup-simplify]: Simplify 1/2 into 1/2 10.821 * [taylor]: Taking taylor expansion of K in K 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 1 into 1 10.822 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.823 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.823 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.823 * [taylor]: Taking taylor expansion of J in K 10.823 * [backup-simplify]: Simplify J into J 10.823 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.824 * [backup-simplify]: Simplify (* 1 1) into 1 10.824 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.824 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.824 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.824 * [taylor]: Taking taylor expansion of 1 in K 10.824 * [backup-simplify]: Simplify 1 into 1 10.824 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.824 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.825 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.825 * [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))) 10.826 * [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) 10.826 * [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 10.826 * [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 10.826 * [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 10.826 * [taylor]: Taking taylor expansion of 1/4 in J 10.826 * [backup-simplify]: Simplify 1/4 into 1/4 10.826 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.826 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.826 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.826 * [taylor]: Taking taylor expansion of 1/4 in J 10.826 * [backup-simplify]: Simplify 1/4 into 1/4 10.826 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.826 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.826 * [taylor]: Taking taylor expansion of U in J 10.826 * [backup-simplify]: Simplify U into U 10.826 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.826 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.826 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.826 * [taylor]: Taking taylor expansion of 1/2 in J 10.826 * [backup-simplify]: Simplify 1/2 into 1/2 10.826 * [taylor]: Taking taylor expansion of K in J 10.826 * [backup-simplify]: Simplify K into K 10.826 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.826 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.826 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.827 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.827 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.827 * [backup-simplify]: Simplify (- 0) into 0 10.827 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.827 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.827 * [taylor]: Taking taylor expansion of J in J 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify 1 into 1 10.827 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.827 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.828 * [backup-simplify]: Simplify (* 1 1) into 1 10.828 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.828 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.828 * [taylor]: Taking taylor expansion of 1 in J 10.828 * [backup-simplify]: Simplify 1 into 1 10.828 * [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))) 10.829 * [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))) 10.829 * [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)))) 10.830 * [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))) 10.831 * [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)))) 10.831 * [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))))) 10.831 * [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 10.831 * [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 10.831 * [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 10.831 * [taylor]: Taking taylor expansion of 1/4 in U 10.831 * [backup-simplify]: Simplify 1/4 into 1/4 10.831 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.831 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.831 * [taylor]: Taking taylor expansion of 1/4 in U 10.831 * [backup-simplify]: Simplify 1/4 into 1/4 10.831 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.831 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.831 * [taylor]: Taking taylor expansion of U in U 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 1 into 1 10.831 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.831 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.831 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.831 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.831 * [taylor]: Taking taylor expansion of 1/2 in U 10.831 * [backup-simplify]: Simplify 1/2 into 1/2 10.832 * [taylor]: Taking taylor expansion of K in U 10.832 * [backup-simplify]: Simplify K into K 10.832 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.832 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.832 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.832 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.832 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.832 * [backup-simplify]: Simplify (- 0) into 0 10.832 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.832 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.832 * [taylor]: Taking taylor expansion of J in U 10.832 * [backup-simplify]: Simplify J into J 10.833 * [backup-simplify]: Simplify (* 1 1) into 1 10.833 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.833 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.833 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.833 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.833 * [taylor]: Taking taylor expansion of 1 in U 10.833 * [backup-simplify]: Simplify 1 into 1 10.834 * [backup-simplify]: Simplify (+ 0 1) into 1 10.834 * [backup-simplify]: Simplify (log 1) into 0 10.835 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.836 * [backup-simplify]: Simplify (+ 0 0) into 0 10.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.839 * [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))) 10.839 * [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)))) 10.841 * [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))) 10.842 * [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)))) 10.842 * [backup-simplify]: Simplify (exp 0) into 1 10.842 * [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 10.842 * [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 10.842 * [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 10.842 * [taylor]: Taking taylor expansion of 1/4 in U 10.842 * [backup-simplify]: Simplify 1/4 into 1/4 10.842 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.842 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.842 * [taylor]: Taking taylor expansion of 1/4 in U 10.842 * [backup-simplify]: Simplify 1/4 into 1/4 10.842 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.842 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.842 * [taylor]: Taking taylor expansion of U in U 10.842 * [backup-simplify]: Simplify 0 into 0 10.842 * [backup-simplify]: Simplify 1 into 1 10.842 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.842 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.842 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.842 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.842 * [taylor]: Taking taylor expansion of 1/2 in U 10.842 * [backup-simplify]: Simplify 1/2 into 1/2 10.842 * [taylor]: Taking taylor expansion of K in U 10.842 * [backup-simplify]: Simplify K into K 10.842 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.842 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.842 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.842 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.843 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.843 * [backup-simplify]: Simplify (- 0) into 0 10.843 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.843 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.843 * [taylor]: Taking taylor expansion of J in U 10.843 * [backup-simplify]: Simplify J into J 10.843 * [backup-simplify]: Simplify (* 1 1) into 1 10.844 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.844 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.844 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.844 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.844 * [taylor]: Taking taylor expansion of 1 in U 10.844 * [backup-simplify]: Simplify 1 into 1 10.844 * [backup-simplify]: Simplify (+ 0 1) into 1 10.845 * [backup-simplify]: Simplify (log 1) into 0 10.845 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.845 * [backup-simplify]: Simplify (+ 0 0) into 0 10.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.848 * [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))) 10.848 * [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)))) 10.850 * [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))) 10.851 * [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)))) 10.851 * [backup-simplify]: Simplify (exp 0) into 1 10.851 * [taylor]: Taking taylor expansion of 1 in J 10.851 * [backup-simplify]: Simplify 1 into 1 10.851 * [taylor]: Taking taylor expansion of 1 in K 10.851 * [backup-simplify]: Simplify 1 into 1 10.851 * [backup-simplify]: Simplify 1 into 1 10.853 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.853 * [taylor]: Taking taylor expansion of 0 in J 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [taylor]: Taking taylor expansion of 0 in K 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [taylor]: Taking taylor expansion of 0 in K 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify 0 into 0 10.854 * [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))) 10.854 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.855 * [taylor]: Taking taylor expansion of 1/16 in J 10.855 * [backup-simplify]: Simplify 1/16 into 1/16 10.855 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.855 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.855 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.855 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.855 * [taylor]: Taking taylor expansion of 1/2 in J 10.855 * [backup-simplify]: Simplify 1/2 into 1/2 10.855 * [taylor]: Taking taylor expansion of K in J 10.855 * [backup-simplify]: Simplify K into K 10.855 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.855 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.855 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.855 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.855 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.856 * [backup-simplify]: Simplify (- 0) into 0 10.856 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.856 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.856 * [taylor]: Taking taylor expansion of J in J 10.856 * [backup-simplify]: Simplify 0 into 0 10.856 * [backup-simplify]: Simplify 1 into 1 10.856 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.856 * [backup-simplify]: Simplify (* 1 1) into 1 10.856 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.856 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 10.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.858 * [backup-simplify]: Simplify (+ 0) into 0 10.858 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.860 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.860 * [backup-simplify]: Simplify (- 0) into 0 10.861 * [backup-simplify]: Simplify (+ 0 0) into 0 10.861 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.863 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.865 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.865 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.866 * [backup-simplify]: Simplify (- 0) into 0 10.866 * [backup-simplify]: Simplify (+ 0 0) into 0 10.867 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.867 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.868 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.868 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.869 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 10.869 * [taylor]: Taking taylor expansion of 0 in K 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [taylor]: Taking taylor expansion of 0 in K 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [taylor]: Taking taylor expansion of 0 in K 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 1 into 1 10.869 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 10.870 * [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 J K) around 0 10.870 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 10.870 * [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 K 10.870 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 10.870 * [taylor]: Taking taylor expansion of 1/4 in K 10.870 * [backup-simplify]: Simplify 1/4 into 1/4 10.870 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.870 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.870 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.870 * [taylor]: Taking taylor expansion of 1/4 in K 10.870 * [backup-simplify]: Simplify 1/4 into 1/4 10.870 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.870 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.870 * [taylor]: Taking taylor expansion of J in K 10.870 * [backup-simplify]: Simplify J into J 10.870 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.870 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.870 * [taylor]: Taking taylor expansion of U in K 10.870 * [backup-simplify]: Simplify U into U 10.870 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.870 * [taylor]: Taking taylor expansion of 1/2 in K 10.870 * [backup-simplify]: Simplify 1/2 into 1/2 10.870 * [taylor]: Taking taylor expansion of K in K 10.870 * [backup-simplify]: Simplify 0 into 0 10.870 * [backup-simplify]: Simplify 1 into 1 10.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.871 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.871 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.871 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.871 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.871 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.871 * [taylor]: Taking taylor expansion of 1 in K 10.872 * [backup-simplify]: Simplify 1 into 1 10.872 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.872 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.873 * [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)) 10.873 * [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))) 10.873 * [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) 10.873 * [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 10.873 * [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 10.873 * [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 10.873 * [taylor]: Taking taylor expansion of 1/4 in J 10.874 * [backup-simplify]: Simplify 1/4 into 1/4 10.874 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.874 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.874 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.874 * [taylor]: Taking taylor expansion of 1/4 in J 10.874 * [backup-simplify]: Simplify 1/4 into 1/4 10.874 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.874 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.874 * [taylor]: Taking taylor expansion of J in J 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 1 into 1 10.874 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.874 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.874 * [taylor]: Taking taylor expansion of U in J 10.874 * [backup-simplify]: Simplify U into U 10.874 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.874 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.874 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.874 * [taylor]: Taking taylor expansion of 1/2 in J 10.874 * [backup-simplify]: Simplify 1/2 into 1/2 10.874 * [taylor]: Taking taylor expansion of K in J 10.874 * [backup-simplify]: Simplify K into K 10.874 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.874 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.874 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.874 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.874 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.875 * [backup-simplify]: Simplify (- 0) into 0 10.875 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.875 * [backup-simplify]: Simplify (* 1 1) into 1 10.875 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.876 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.876 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.876 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.876 * [taylor]: Taking taylor expansion of 1 in J 10.876 * [backup-simplify]: Simplify 1 into 1 10.876 * [backup-simplify]: Simplify (+ 0 1) into 1 10.877 * [backup-simplify]: Simplify (log 1) into 0 10.877 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.878 * [backup-simplify]: Simplify (+ 0 0) into 0 10.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.880 * [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))) 10.880 * [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)))) 10.882 * [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))) 10.883 * [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)))) 10.883 * [backup-simplify]: Simplify (exp 0) into 1 10.883 * [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 10.883 * [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 10.883 * [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 10.883 * [taylor]: Taking taylor expansion of 1/4 in U 10.883 * [backup-simplify]: Simplify 1/4 into 1/4 10.883 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.883 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.883 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.884 * [taylor]: Taking taylor expansion of 1/4 in U 10.884 * [backup-simplify]: Simplify 1/4 into 1/4 10.884 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.884 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.884 * [taylor]: Taking taylor expansion of J in U 10.884 * [backup-simplify]: Simplify J into J 10.884 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.884 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.884 * [taylor]: Taking taylor expansion of U in U 10.884 * [backup-simplify]: Simplify 0 into 0 10.884 * [backup-simplify]: Simplify 1 into 1 10.884 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.884 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.884 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.884 * [taylor]: Taking taylor expansion of 1/2 in U 10.884 * [backup-simplify]: Simplify 1/2 into 1/2 10.884 * [taylor]: Taking taylor expansion of K in U 10.884 * [backup-simplify]: Simplify K into K 10.884 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.884 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.884 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.884 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.884 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.885 * [backup-simplify]: Simplify (- 0) into 0 10.885 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.885 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.885 * [backup-simplify]: Simplify (* 1 1) into 1 10.885 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.886 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.886 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.886 * [taylor]: Taking taylor expansion of 1 in U 10.886 * [backup-simplify]: Simplify 1 into 1 10.886 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.886 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.886 * [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)))) 10.887 * [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))) 10.887 * [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)))) 10.888 * [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))))) 10.888 * [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 10.888 * [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 10.888 * [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 10.888 * [taylor]: Taking taylor expansion of 1/4 in U 10.888 * [backup-simplify]: Simplify 1/4 into 1/4 10.888 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.888 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.888 * [taylor]: Taking taylor expansion of 1/4 in U 10.888 * [backup-simplify]: Simplify 1/4 into 1/4 10.888 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.888 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.888 * [taylor]: Taking taylor expansion of J in U 10.888 * [backup-simplify]: Simplify J into J 10.888 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.888 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.888 * [taylor]: Taking taylor expansion of U in U 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [backup-simplify]: Simplify 1 into 1 10.888 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.888 * [taylor]: Taking taylor expansion of 1/2 in U 10.888 * [backup-simplify]: Simplify 1/2 into 1/2 10.888 * [taylor]: Taking taylor expansion of K in U 10.888 * [backup-simplify]: Simplify K into K 10.889 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.889 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.889 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.889 * [backup-simplify]: Simplify (- 0) into 0 10.889 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.889 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.890 * [backup-simplify]: Simplify (* 1 1) into 1 10.890 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.890 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.890 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.890 * [taylor]: Taking taylor expansion of 1 in U 10.890 * [backup-simplify]: Simplify 1 into 1 10.891 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.891 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.891 * [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)))) 10.892 * [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))) 10.892 * [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)))) 10.892 * [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))))) 10.892 * [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 10.893 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.893 * [taylor]: Taking taylor expansion of 1/4 in J 10.893 * [backup-simplify]: Simplify 1/4 into 1/4 10.893 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.893 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.893 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.893 * [taylor]: Taking taylor expansion of 1/4 in J 10.893 * [backup-simplify]: Simplify 1/4 into 1/4 10.893 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.893 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.893 * [taylor]: Taking taylor expansion of J in J 10.893 * [backup-simplify]: Simplify 0 into 0 10.893 * [backup-simplify]: Simplify 1 into 1 10.893 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.893 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.893 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.893 * [taylor]: Taking taylor expansion of 1/2 in J 10.893 * [backup-simplify]: Simplify 1/2 into 1/2 10.893 * [taylor]: Taking taylor expansion of K in J 10.893 * [backup-simplify]: Simplify K into K 10.893 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.893 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.893 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.893 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.893 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.894 * [backup-simplify]: Simplify (- 0) into 0 10.894 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.894 * [backup-simplify]: Simplify (* 1 1) into 1 10.895 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.895 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.895 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.895 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.895 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.895 * [taylor]: Taking taylor expansion of 2 in J 10.895 * [backup-simplify]: Simplify 2 into 2 10.895 * [taylor]: Taking taylor expansion of (log U) in J 10.895 * [taylor]: Taking taylor expansion of U in J 10.895 * [backup-simplify]: Simplify U into U 10.895 * [backup-simplify]: Simplify (log U) into (log U) 10.896 * [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)))) 10.896 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.896 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.896 * [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))) 10.897 * [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)))) 10.897 * [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))))) 10.897 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 10.897 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.897 * [taylor]: Taking taylor expansion of 1/4 in K 10.897 * [backup-simplify]: Simplify 1/4 into 1/4 10.897 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.897 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.897 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.897 * [taylor]: Taking taylor expansion of 2 in K 10.897 * [backup-simplify]: Simplify 2 into 2 10.897 * [taylor]: Taking taylor expansion of (log J) in K 10.897 * [taylor]: Taking taylor expansion of J in K 10.897 * [backup-simplify]: Simplify J into J 10.897 * [backup-simplify]: Simplify (log J) into (log J) 10.897 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.898 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.898 * [taylor]: Taking taylor expansion of 1/4 in K 10.898 * [backup-simplify]: Simplify 1/4 into 1/4 10.898 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.898 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.898 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.898 * [taylor]: Taking taylor expansion of 1/2 in K 10.898 * [backup-simplify]: Simplify 1/2 into 1/2 10.898 * [taylor]: Taking taylor expansion of K in K 10.898 * [backup-simplify]: Simplify 0 into 0 10.898 * [backup-simplify]: Simplify 1 into 1 10.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.898 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.898 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.898 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.898 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.898 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.898 * [taylor]: Taking taylor expansion of 2 in K 10.898 * [backup-simplify]: Simplify 2 into 2 10.898 * [taylor]: Taking taylor expansion of (log U) in K 10.898 * [taylor]: Taking taylor expansion of U in K 10.898 * [backup-simplify]: Simplify U into U 10.898 * [backup-simplify]: Simplify (log U) into (log U) 10.899 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.899 * [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)))) 10.899 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.899 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.899 * [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))) 10.899 * [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)))) 10.899 * [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))))) 10.899 * [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))))) 10.899 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.900 * [backup-simplify]: Simplify (+ 0) into 0 10.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.900 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.901 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.901 * [backup-simplify]: Simplify (- 0) into 0 10.901 * [backup-simplify]: Simplify (+ 0 0) into 0 10.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.902 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.903 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.903 * [backup-simplify]: Simplify (+ 0 0) into 0 10.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.904 * [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))) 10.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.905 * [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 10.905 * [taylor]: Taking taylor expansion of 0 in J 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [taylor]: Taking taylor expansion of 0 in K 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.906 * [backup-simplify]: Simplify (+ 0) into 0 10.906 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.907 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.907 * [backup-simplify]: Simplify (- 0) into 0 10.907 * [backup-simplify]: Simplify (+ 0 0) into 0 10.908 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.908 * [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 10.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.909 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.910 * [backup-simplify]: Simplify (- 0) into 0 10.910 * [backup-simplify]: Simplify (+ 0 0) into 0 10.910 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.911 * [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 10.911 * [taylor]: Taking taylor expansion of 0 in K 10.911 * [backup-simplify]: Simplify 0 into 0 10.911 * [backup-simplify]: Simplify 0 into 0 10.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.912 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.912 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.913 * [backup-simplify]: Simplify (+ 0 0) into 0 10.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.914 * [backup-simplify]: Simplify (- 0) into 0 10.914 * [backup-simplify]: Simplify (+ 0 0) into 0 10.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.915 * [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 10.915 * [backup-simplify]: Simplify 0 into 0 10.915 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.918 * [backup-simplify]: Simplify (- 0) into 0 10.918 * [backup-simplify]: Simplify (+ 0 0) into 0 10.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.920 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.920 * [backup-simplify]: Simplify (+ 0 1) into 1 10.922 * [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))) 10.922 * [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))) 10.923 * [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)) 10.924 * [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)) 10.924 * [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 10.924 * [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 10.924 * [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 10.925 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.925 * [taylor]: Taking taylor expansion of 1/4 in J 10.925 * [backup-simplify]: Simplify 1/4 into 1/4 10.925 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.925 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.925 * [taylor]: Taking taylor expansion of 1/4 in J 10.925 * [backup-simplify]: Simplify 1/4 into 1/4 10.925 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.925 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.925 * [taylor]: Taking taylor expansion of J in J 10.925 * [backup-simplify]: Simplify 0 into 0 10.925 * [backup-simplify]: Simplify 1 into 1 10.925 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.925 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.925 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.925 * [taylor]: Taking taylor expansion of 1/2 in J 10.925 * [backup-simplify]: Simplify 1/2 into 1/2 10.925 * [taylor]: Taking taylor expansion of K in J 10.925 * [backup-simplify]: Simplify K into K 10.925 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.925 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.925 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.925 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.925 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.926 * [backup-simplify]: Simplify (- 0) into 0 10.926 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.926 * [backup-simplify]: Simplify (* 1 1) into 1 10.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.927 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.927 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.927 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.927 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.927 * [taylor]: Taking taylor expansion of 2 in J 10.927 * [backup-simplify]: Simplify 2 into 2 10.927 * [taylor]: Taking taylor expansion of (log U) in J 10.927 * [taylor]: Taking taylor expansion of U in J 10.927 * [backup-simplify]: Simplify U into U 10.927 * [backup-simplify]: Simplify (log U) into (log U) 10.928 * [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)))) 10.928 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.928 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.928 * [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))) 10.928 * [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)))) 10.929 * [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))))) 10.929 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.929 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.929 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.929 * [taylor]: Taking taylor expansion of 1/2 in J 10.929 * [backup-simplify]: Simplify 1/2 into 1/2 10.929 * [taylor]: Taking taylor expansion of K in J 10.929 * [backup-simplify]: Simplify K into K 10.929 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.929 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.929 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.929 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.929 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.930 * [backup-simplify]: Simplify (- 0) into 0 10.930 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.930 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.930 * [taylor]: Taking taylor expansion of J in J 10.930 * [backup-simplify]: Simplify 0 into 0 10.930 * [backup-simplify]: Simplify 1 into 1 10.931 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.931 * [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)) 10.931 * [backup-simplify]: Simplify (* 1 1) into 1 10.932 * [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)) 10.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.933 * [backup-simplify]: Simplify (+ 0) into 0 10.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.940 * [backup-simplify]: Simplify (- 0) into 0 10.941 * [backup-simplify]: Simplify (+ 0 0) into 0 10.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.942 * [backup-simplify]: Simplify (- 0) into 0 10.942 * [backup-simplify]: Simplify (+ 0 0) into 0 10.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.944 * [backup-simplify]: Simplify (+ 0) into 0 10.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.945 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.946 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.946 * [backup-simplify]: Simplify (- 0) into 0 10.947 * [backup-simplify]: Simplify (+ 0 0) into 0 10.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.947 * [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 10.948 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.950 * [backup-simplify]: Simplify (- 0) into 0 10.950 * [backup-simplify]: Simplify (+ 0 0) into 0 10.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.952 * [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 10.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.955 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.957 * [backup-simplify]: Simplify (- 0) into 0 10.957 * [backup-simplify]: Simplify (+ 0 0) into 0 10.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.958 * [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 10.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.961 * [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 10.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.963 * [backup-simplify]: Simplify (- 0) into 0 10.964 * [backup-simplify]: Simplify (+ 0 0) into 0 10.965 * [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 10.966 * [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 10.967 * [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 10.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.968 * [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 10.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.970 * [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)))) into 0 10.972 * [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 10.972 * [taylor]: Taking taylor expansion of 0 in K 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [taylor]: Taking taylor expansion of 0 in K 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify 0 into 0 10.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.977 * [backup-simplify]: Simplify (- 0) into 0 10.977 * [backup-simplify]: Simplify (+ 0 0) into 0 10.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.978 * [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 10.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.981 * [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 10.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.984 * [backup-simplify]: Simplify (- 0) into 0 10.984 * [backup-simplify]: Simplify (+ 0 0) into 0 10.985 * [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 10.987 * [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 10.987 * [taylor]: Taking taylor expansion of 0 in K 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [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)))))) 10.988 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 10.988 * [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 J K) around 0 10.988 * [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 10.988 * [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 10.988 * [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 10.988 * [taylor]: Taking taylor expansion of 1/4 in K 10.988 * [backup-simplify]: Simplify 1/4 into 1/4 10.988 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.988 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.988 * [taylor]: Taking taylor expansion of 1 in K 10.988 * [backup-simplify]: Simplify 1 into 1 10.988 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.988 * [taylor]: Taking taylor expansion of 1/4 in K 10.988 * [backup-simplify]: Simplify 1/4 into 1/4 10.988 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.988 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.988 * [taylor]: Taking taylor expansion of J in K 10.988 * [backup-simplify]: Simplify J into J 10.988 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.988 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.988 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.988 * [taylor]: Taking taylor expansion of -1/2 in K 10.988 * [backup-simplify]: Simplify -1/2 into -1/2 10.989 * [taylor]: Taking taylor expansion of K in K 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify 1 into 1 10.989 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.989 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.989 * [taylor]: Taking taylor expansion of U in K 10.989 * [backup-simplify]: Simplify U into U 10.989 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.990 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.990 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.990 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.990 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.991 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.991 * [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)))))) 10.991 * [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))))))) 10.992 * [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) 10.992 * [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 10.992 * [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 10.992 * [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 10.992 * [taylor]: Taking taylor expansion of 1/4 in J 10.992 * [backup-simplify]: Simplify 1/4 into 1/4 10.992 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.992 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.992 * [taylor]: Taking taylor expansion of 1 in J 10.992 * [backup-simplify]: Simplify 1 into 1 10.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.992 * [taylor]: Taking taylor expansion of 1/4 in J 10.992 * [backup-simplify]: Simplify 1/4 into 1/4 10.992 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.992 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.992 * [taylor]: Taking taylor expansion of J in J 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 1 into 1 10.992 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.992 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.992 * [taylor]: Taking taylor expansion of -1/2 in J 10.992 * [backup-simplify]: Simplify -1/2 into -1/2 10.992 * [taylor]: Taking taylor expansion of K in J 10.992 * [backup-simplify]: Simplify K into K 10.993 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.993 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.993 * [backup-simplify]: Simplify (- 0) into 0 10.994 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.994 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.994 * [taylor]: Taking taylor expansion of U in J 10.994 * [backup-simplify]: Simplify U into U 10.994 * [backup-simplify]: Simplify (* 1 1) into 1 10.994 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.994 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.994 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.995 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.995 * [backup-simplify]: Simplify (+ 1 0) into 1 10.996 * [backup-simplify]: Simplify (log 1) into 0 10.996 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.996 * [backup-simplify]: Simplify (+ 0 0) into 0 10.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.999 * [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))) 10.999 * [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)))) 11.001 * [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))) 11.002 * [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)))) 11.002 * [backup-simplify]: Simplify (exp 0) into 1 11.002 * [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 11.002 * [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 11.002 * [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 11.002 * [taylor]: Taking taylor expansion of 1/4 in U 11.002 * [backup-simplify]: Simplify 1/4 into 1/4 11.002 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.002 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.002 * [taylor]: Taking taylor expansion of 1 in U 11.002 * [backup-simplify]: Simplify 1 into 1 11.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.002 * [taylor]: Taking taylor expansion of 1/4 in U 11.002 * [backup-simplify]: Simplify 1/4 into 1/4 11.002 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.002 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.002 * [taylor]: Taking taylor expansion of J in U 11.002 * [backup-simplify]: Simplify J into J 11.002 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.002 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.002 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.002 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.003 * [taylor]: Taking taylor expansion of -1/2 in U 11.003 * [backup-simplify]: Simplify -1/2 into -1/2 11.003 * [taylor]: Taking taylor expansion of K in U 11.003 * [backup-simplify]: Simplify K into K 11.003 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.003 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.003 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.003 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.003 * [backup-simplify]: Simplify (- 0) into 0 11.004 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.004 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.004 * [taylor]: Taking taylor expansion of U in U 11.004 * [backup-simplify]: Simplify 0 into 0 11.004 * [backup-simplify]: Simplify 1 into 1 11.004 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.004 * [backup-simplify]: Simplify (* 1 1) into 1 11.004 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.005 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.005 * [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))) 11.005 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.005 * [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)))) 11.006 * [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))) 11.006 * [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)))) 11.007 * [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))))) 11.007 * [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 11.007 * [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 11.007 * [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 11.007 * [taylor]: Taking taylor expansion of 1/4 in U 11.007 * [backup-simplify]: Simplify 1/4 into 1/4 11.007 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.007 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.007 * [taylor]: Taking taylor expansion of 1 in U 11.007 * [backup-simplify]: Simplify 1 into 1 11.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.007 * [taylor]: Taking taylor expansion of 1/4 in U 11.007 * [backup-simplify]: Simplify 1/4 into 1/4 11.007 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.007 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.007 * [taylor]: Taking taylor expansion of J in U 11.007 * [backup-simplify]: Simplify J into J 11.007 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.007 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.007 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.007 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.007 * [taylor]: Taking taylor expansion of -1/2 in U 11.007 * [backup-simplify]: Simplify -1/2 into -1/2 11.007 * [taylor]: Taking taylor expansion of K in U 11.007 * [backup-simplify]: Simplify K into K 11.007 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.007 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.007 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.008 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.008 * [backup-simplify]: Simplify (- 0) into 0 11.008 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.008 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.008 * [taylor]: Taking taylor expansion of U in U 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 1 into 1 11.008 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.009 * [backup-simplify]: Simplify (* 1 1) into 1 11.009 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.009 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.009 * [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))) 11.010 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.010 * [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)))) 11.010 * [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))) 11.011 * [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)))) 11.011 * [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))))) 11.011 * [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 11.011 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.011 * [taylor]: Taking taylor expansion of 1/4 in J 11.011 * [backup-simplify]: Simplify 1/4 into 1/4 11.011 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.011 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.011 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.011 * [taylor]: Taking taylor expansion of 1/4 in J 11.011 * [backup-simplify]: Simplify 1/4 into 1/4 11.011 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.011 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.011 * [taylor]: Taking taylor expansion of J in J 11.011 * [backup-simplify]: Simplify 0 into 0 11.011 * [backup-simplify]: Simplify 1 into 1 11.012 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.012 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.012 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.012 * [taylor]: Taking taylor expansion of -1/2 in J 11.012 * [backup-simplify]: Simplify -1/2 into -1/2 11.012 * [taylor]: Taking taylor expansion of K in J 11.012 * [backup-simplify]: Simplify K into K 11.012 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.012 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.012 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.012 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.012 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.012 * [backup-simplify]: Simplify (- 0) into 0 11.012 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.013 * [backup-simplify]: Simplify (* 1 1) into 1 11.013 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.013 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.013 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.013 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.013 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.013 * [taylor]: Taking taylor expansion of 2 in J 11.014 * [backup-simplify]: Simplify 2 into 2 11.014 * [taylor]: Taking taylor expansion of (log U) in J 11.014 * [taylor]: Taking taylor expansion of U in J 11.014 * [backup-simplify]: Simplify U into U 11.014 * [backup-simplify]: Simplify (log U) into (log U) 11.014 * [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)))) 11.014 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.014 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.015 * [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))) 11.015 * [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)))) 11.015 * [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))))) 11.015 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.015 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.015 * [taylor]: Taking taylor expansion of 1/4 in K 11.015 * [backup-simplify]: Simplify 1/4 into 1/4 11.015 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.015 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.015 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.015 * [taylor]: Taking taylor expansion of 2 in K 11.015 * [backup-simplify]: Simplify 2 into 2 11.015 * [taylor]: Taking taylor expansion of (log J) in K 11.016 * [taylor]: Taking taylor expansion of J in K 11.016 * [backup-simplify]: Simplify J into J 11.016 * [backup-simplify]: Simplify (log J) into (log J) 11.016 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.016 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.016 * [taylor]: Taking taylor expansion of 1/4 in K 11.016 * [backup-simplify]: Simplify 1/4 into 1/4 11.016 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.016 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.016 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.016 * [taylor]: Taking taylor expansion of -1/2 in K 11.016 * [backup-simplify]: Simplify -1/2 into -1/2 11.016 * [taylor]: Taking taylor expansion of K in K 11.016 * [backup-simplify]: Simplify 0 into 0 11.016 * [backup-simplify]: Simplify 1 into 1 11.016 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.016 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.017 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.017 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.017 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.017 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.017 * [taylor]: Taking taylor expansion of 2 in K 11.017 * [backup-simplify]: Simplify 2 into 2 11.017 * [taylor]: Taking taylor expansion of (log U) in K 11.017 * [taylor]: Taking taylor expansion of U in K 11.017 * [backup-simplify]: Simplify U into U 11.017 * [backup-simplify]: Simplify (log U) into (log U) 11.017 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.017 * [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)))) 11.017 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.017 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.018 * [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))) 11.018 * [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)))) 11.018 * [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))))) 11.018 * [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))))) 11.018 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.019 * [backup-simplify]: Simplify (+ 0) into 0 11.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.019 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.020 * [backup-simplify]: Simplify (- 0) into 0 11.021 * [backup-simplify]: Simplify (+ 0 0) into 0 11.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.021 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.021 * [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 11.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.022 * [backup-simplify]: Simplify (+ 0 0) into 0 11.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.023 * [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))) 11.023 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.024 * [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 11.024 * [taylor]: Taking taylor expansion of 0 in J 11.024 * [backup-simplify]: Simplify 0 into 0 11.024 * [taylor]: Taking taylor expansion of 0 in K 11.024 * [backup-simplify]: Simplify 0 into 0 11.024 * [backup-simplify]: Simplify 0 into 0 11.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.025 * [backup-simplify]: Simplify (+ 0) into 0 11.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.026 * [backup-simplify]: Simplify (- 0) into 0 11.026 * [backup-simplify]: Simplify (+ 0 0) into 0 11.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.027 * [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 11.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.028 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.029 * [backup-simplify]: Simplify (- 0) into 0 11.029 * [backup-simplify]: Simplify (+ 0 0) into 0 11.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.030 * [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 11.030 * [taylor]: Taking taylor expansion of 0 in K 11.030 * [backup-simplify]: Simplify 0 into 0 11.030 * [backup-simplify]: Simplify 0 into 0 11.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.031 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.032 * [backup-simplify]: Simplify (+ 0 0) into 0 11.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.033 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.033 * [backup-simplify]: Simplify (- 0) into 0 11.033 * [backup-simplify]: Simplify (+ 0 0) into 0 11.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.034 * [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 11.034 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.038 * [backup-simplify]: Simplify (- 0) into 0 11.038 * [backup-simplify]: Simplify (+ 0 0) into 0 11.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.039 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.039 * [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 11.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.040 * [backup-simplify]: Simplify (+ 1 0) into 1 11.041 * [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))) 11.042 * [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))) 11.043 * [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)) 11.044 * [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)) 11.044 * [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 11.044 * [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 11.044 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.044 * [taylor]: Taking taylor expansion of -1/2 in J 11.044 * [backup-simplify]: Simplify -1/2 into -1/2 11.044 * [taylor]: Taking taylor expansion of K in J 11.044 * [backup-simplify]: Simplify K into K 11.044 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.044 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.044 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.044 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.045 * [backup-simplify]: Simplify (- 0) into 0 11.045 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.045 * [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 11.045 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.045 * [taylor]: Taking taylor expansion of 1/4 in J 11.045 * [backup-simplify]: Simplify 1/4 into 1/4 11.045 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.045 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.045 * [taylor]: Taking taylor expansion of 1/4 in J 11.045 * [backup-simplify]: Simplify 1/4 into 1/4 11.045 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.045 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.045 * [taylor]: Taking taylor expansion of J in J 11.045 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify 1 into 1 11.045 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.046 * [taylor]: Taking taylor expansion of -1/2 in J 11.046 * [backup-simplify]: Simplify -1/2 into -1/2 11.046 * [taylor]: Taking taylor expansion of K in J 11.046 * [backup-simplify]: Simplify K into K 11.046 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.046 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.046 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.046 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.046 * [backup-simplify]: Simplify (- 0) into 0 11.047 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.047 * [backup-simplify]: Simplify (* 1 1) into 1 11.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.047 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.047 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.047 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.048 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.048 * [taylor]: Taking taylor expansion of 2 in J 11.048 * [backup-simplify]: Simplify 2 into 2 11.048 * [taylor]: Taking taylor expansion of (log U) in J 11.048 * [taylor]: Taking taylor expansion of U in J 11.048 * [backup-simplify]: Simplify U into U 11.048 * [backup-simplify]: Simplify (log U) into (log U) 11.048 * [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)))) 11.048 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.048 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.049 * [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))) 11.049 * [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)))) 11.049 * [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))))) 11.049 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.049 * [taylor]: Taking taylor expansion of J in J 11.049 * [backup-simplify]: Simplify 0 into 0 11.049 * [backup-simplify]: Simplify 1 into 1 11.050 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.050 * [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)))))) 11.050 * [backup-simplify]: Simplify (* 1 1) into 1 11.051 * [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)))))) 11.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.052 * [backup-simplify]: Simplify (+ 0) into 0 11.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.054 * [backup-simplify]: Simplify (- 0) into 0 11.054 * [backup-simplify]: Simplify (+ 0 0) into 0 11.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.055 * [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 11.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.056 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.057 * [backup-simplify]: Simplify (- 0) into 0 11.057 * [backup-simplify]: Simplify (+ 0 0) into 0 11.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.060 * [backup-simplify]: Simplify (- 0) into 0 11.060 * [backup-simplify]: Simplify (+ 0 0) into 0 11.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.061 * [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 11.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.063 * [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 11.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.064 * [backup-simplify]: Simplify (- 0) into 0 11.066 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [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 11.068 * [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 11.068 * [backup-simplify]: Simplify (+ 0) into 0 11.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.070 * [backup-simplify]: Simplify (- 0) into 0 11.070 * [backup-simplify]: Simplify (+ 0 0) into 0 11.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.071 * [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 11.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.073 * [backup-simplify]: Simplify (- 0) into 0 11.073 * [backup-simplify]: Simplify (+ 0 0) into 0 11.073 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.074 * [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 11.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.075 * [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 11.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.076 * [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 11.077 * [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 11.077 * [taylor]: Taking taylor expansion of 0 in K 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [taylor]: Taking taylor expansion of 0 in K 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.079 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.080 * [backup-simplify]: Simplify (- 0) into 0 11.080 * [backup-simplify]: Simplify (+ 0 0) into 0 11.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.081 * [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 11.081 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.082 * [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 11.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.084 * [backup-simplify]: Simplify (- 0) into 0 11.084 * [backup-simplify]: Simplify (+ 0 0) into 0 11.085 * [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 11.086 * [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 11.086 * [taylor]: Taking taylor expansion of 0 in K 11.086 * [backup-simplify]: Simplify 0 into 0 11.086 * [backup-simplify]: Simplify 0 into 0 11.086 * [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)))))) 11.086 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 11.086 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 11.087 * [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 J K) around 0 11.087 * [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 11.087 * [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 11.087 * [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 11.087 * [taylor]: Taking taylor expansion of 1/4 in K 11.087 * [backup-simplify]: Simplify 1/4 into 1/4 11.087 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.087 * [taylor]: Taking taylor expansion of 1/4 in K 11.087 * [backup-simplify]: Simplify 1/4 into 1/4 11.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.087 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.087 * [taylor]: Taking taylor expansion of U in K 11.087 * [backup-simplify]: Simplify U into U 11.087 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.087 * [taylor]: Taking taylor expansion of 1/2 in K 11.087 * [backup-simplify]: Simplify 1/2 into 1/2 11.087 * [taylor]: Taking taylor expansion of K in K 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 1 into 1 11.087 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.088 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.088 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.088 * [taylor]: Taking taylor expansion of J in K 11.088 * [backup-simplify]: Simplify J into J 11.088 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.088 * [backup-simplify]: Simplify (* 1 1) into 1 11.088 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.088 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.088 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.088 * [taylor]: Taking taylor expansion of 1 in K 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.088 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.088 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.089 * [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))) 11.089 * [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) 11.089 * [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 11.089 * [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 11.089 * [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 11.089 * [taylor]: Taking taylor expansion of 1/4 in J 11.089 * [backup-simplify]: Simplify 1/4 into 1/4 11.089 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.089 * [taylor]: Taking taylor expansion of 1/4 in J 11.089 * [backup-simplify]: Simplify 1/4 into 1/4 11.089 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.089 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.089 * [taylor]: Taking taylor expansion of U in J 11.089 * [backup-simplify]: Simplify U into U 11.089 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.089 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.089 * [taylor]: Taking taylor expansion of 1/2 in J 11.089 * [backup-simplify]: Simplify 1/2 into 1/2 11.089 * [taylor]: Taking taylor expansion of K in J 11.089 * [backup-simplify]: Simplify K into K 11.089 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.089 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.089 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.089 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.089 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.090 * [backup-simplify]: Simplify (- 0) into 0 11.090 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.090 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.090 * [taylor]: Taking taylor expansion of J in J 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.090 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.090 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.090 * [taylor]: Taking taylor expansion of 1 in J 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [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))) 11.091 * [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))) 11.091 * [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)))) 11.091 * [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))) 11.091 * [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)))) 11.092 * [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))))) 11.092 * [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 11.092 * [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 11.092 * [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 11.092 * [taylor]: Taking taylor expansion of 1/4 in U 11.092 * [backup-simplify]: Simplify 1/4 into 1/4 11.092 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.092 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.092 * [taylor]: Taking taylor expansion of 1/4 in U 11.092 * [backup-simplify]: Simplify 1/4 into 1/4 11.092 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.092 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.092 * [taylor]: Taking taylor expansion of U in U 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.092 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.092 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.092 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.092 * [taylor]: Taking taylor expansion of 1/2 in U 11.092 * [backup-simplify]: Simplify 1/2 into 1/2 11.092 * [taylor]: Taking taylor expansion of K in U 11.092 * [backup-simplify]: Simplify K into K 11.092 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.092 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.092 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.092 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.093 * [backup-simplify]: Simplify (- 0) into 0 11.093 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.093 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.093 * [taylor]: Taking taylor expansion of J in U 11.093 * [backup-simplify]: Simplify J into J 11.093 * [backup-simplify]: Simplify (* 1 1) into 1 11.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.093 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.093 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.093 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.093 * [taylor]: Taking taylor expansion of 1 in U 11.093 * [backup-simplify]: Simplify 1 into 1 11.094 * [backup-simplify]: Simplify (+ 0 1) into 1 11.094 * [backup-simplify]: Simplify (log 1) into 0 11.094 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.095 * [backup-simplify]: Simplify (+ 0 0) into 0 11.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.097 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.097 * [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))) 11.097 * [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)))) 11.099 * [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))) 11.100 * [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)))) 11.100 * [backup-simplify]: Simplify (exp 0) into 1 11.100 * [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 11.100 * [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 11.100 * [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 11.100 * [taylor]: Taking taylor expansion of 1/4 in U 11.100 * [backup-simplify]: Simplify 1/4 into 1/4 11.100 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.100 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.100 * [taylor]: Taking taylor expansion of 1/4 in U 11.100 * [backup-simplify]: Simplify 1/4 into 1/4 11.100 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.100 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.100 * [taylor]: Taking taylor expansion of U in U 11.100 * [backup-simplify]: Simplify 0 into 0 11.100 * [backup-simplify]: Simplify 1 into 1 11.100 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.100 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.100 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.100 * [taylor]: Taking taylor expansion of 1/2 in U 11.100 * [backup-simplify]: Simplify 1/2 into 1/2 11.101 * [taylor]: Taking taylor expansion of K in U 11.101 * [backup-simplify]: Simplify K into K 11.101 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.101 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.101 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.101 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.101 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.101 * [backup-simplify]: Simplify (- 0) into 0 11.101 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.101 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.101 * [taylor]: Taking taylor expansion of J in U 11.101 * [backup-simplify]: Simplify J into J 11.102 * [backup-simplify]: Simplify (* 1 1) into 1 11.102 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.102 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.102 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.103 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.103 * [taylor]: Taking taylor expansion of 1 in U 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [backup-simplify]: Simplify (+ 0 1) into 1 11.103 * [backup-simplify]: Simplify (log 1) into 0 11.104 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.104 * [backup-simplify]: Simplify (+ 0 0) into 0 11.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.107 * [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))) 11.107 * [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)))) 11.109 * [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))) 11.110 * [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)))) 11.110 * [backup-simplify]: Simplify (exp 0) into 1 11.110 * [taylor]: Taking taylor expansion of 1 in J 11.110 * [backup-simplify]: Simplify 1 into 1 11.110 * [taylor]: Taking taylor expansion of 1 in K 11.110 * [backup-simplify]: Simplify 1 into 1 11.110 * [backup-simplify]: Simplify 1 into 1 11.111 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.111 * [taylor]: Taking taylor expansion of 0 in J 11.111 * [backup-simplify]: Simplify 0 into 0 11.111 * [taylor]: Taking taylor expansion of 0 in K 11.111 * [backup-simplify]: Simplify 0 into 0 11.111 * [backup-simplify]: Simplify 0 into 0 11.111 * [taylor]: Taking taylor expansion of 0 in K 11.111 * [backup-simplify]: Simplify 0 into 0 11.111 * [backup-simplify]: Simplify 0 into 0 11.112 * [backup-simplify]: Simplify 0 into 0 11.113 * [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))) 11.113 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.113 * [taylor]: Taking taylor expansion of 1/16 in J 11.113 * [backup-simplify]: Simplify 1/16 into 1/16 11.113 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.113 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.113 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.113 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.113 * [taylor]: Taking taylor expansion of 1/2 in J 11.113 * [backup-simplify]: Simplify 1/2 into 1/2 11.113 * [taylor]: Taking taylor expansion of K in J 11.113 * [backup-simplify]: Simplify K into K 11.113 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.113 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.113 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.113 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.113 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.114 * [backup-simplify]: Simplify (- 0) into 0 11.114 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.114 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.114 * [taylor]: Taking taylor expansion of J in J 11.114 * [backup-simplify]: Simplify 0 into 0 11.114 * [backup-simplify]: Simplify 1 into 1 11.114 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.115 * [backup-simplify]: Simplify (* 1 1) into 1 11.115 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.115 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 11.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.116 * [backup-simplify]: Simplify (+ 0) into 0 11.117 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.119 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.119 * [backup-simplify]: Simplify (- 0) into 0 11.119 * [backup-simplify]: Simplify (+ 0 0) into 0 11.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.124 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.124 * [backup-simplify]: Simplify (- 0) into 0 11.125 * [backup-simplify]: Simplify (+ 0 0) into 0 11.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.126 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.127 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.127 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.128 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.128 * [taylor]: Taking taylor expansion of 0 in K 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [taylor]: Taking taylor expansion of 0 in K 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [taylor]: Taking taylor expansion of 0 in K 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 1 into 1 11.129 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.129 * [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 J K) around 0 11.129 * [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 11.129 * [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 11.129 * [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 11.129 * [taylor]: Taking taylor expansion of 1/4 in K 11.129 * [backup-simplify]: Simplify 1/4 into 1/4 11.129 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.129 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.129 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.129 * [taylor]: Taking taylor expansion of 1/4 in K 11.129 * [backup-simplify]: Simplify 1/4 into 1/4 11.129 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.129 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.129 * [taylor]: Taking taylor expansion of J in K 11.129 * [backup-simplify]: Simplify J into J 11.129 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.129 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.129 * [taylor]: Taking taylor expansion of U in K 11.129 * [backup-simplify]: Simplify U into U 11.129 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.129 * [taylor]: Taking taylor expansion of 1/2 in K 11.129 * [backup-simplify]: Simplify 1/2 into 1/2 11.129 * [taylor]: Taking taylor expansion of K in K 11.129 * [backup-simplify]: Simplify 0 into 0 11.129 * [backup-simplify]: Simplify 1 into 1 11.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.130 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.130 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.130 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.130 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.131 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.131 * [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))) 11.131 * [taylor]: Taking taylor expansion of 1 in K 11.131 * [backup-simplify]: Simplify 1 into 1 11.131 * [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)))) 11.132 * [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) 11.132 * [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)) 11.132 * [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))) 11.133 * [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) 11.133 * [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 11.133 * [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 11.133 * [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 11.133 * [taylor]: Taking taylor expansion of 1/4 in J 11.133 * [backup-simplify]: Simplify 1/4 into 1/4 11.133 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.133 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.133 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.133 * [taylor]: Taking taylor expansion of 1/4 in J 11.133 * [backup-simplify]: Simplify 1/4 into 1/4 11.133 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.133 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.133 * [taylor]: Taking taylor expansion of J in J 11.133 * [backup-simplify]: Simplify 0 into 0 11.133 * [backup-simplify]: Simplify 1 into 1 11.133 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.134 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.134 * [taylor]: Taking taylor expansion of U in J 11.134 * [backup-simplify]: Simplify U into U 11.134 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.134 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.134 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.134 * [taylor]: Taking taylor expansion of 1/2 in J 11.134 * [backup-simplify]: Simplify 1/2 into 1/2 11.134 * [taylor]: Taking taylor expansion of K in J 11.134 * [backup-simplify]: Simplify K into K 11.134 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.134 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.134 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.134 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.134 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.135 * [backup-simplify]: Simplify (- 0) into 0 11.135 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.135 * [backup-simplify]: Simplify (* 1 1) into 1 11.135 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.135 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.136 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.136 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.136 * [taylor]: Taking taylor expansion of 1 in J 11.136 * [backup-simplify]: Simplify 1 into 1 11.136 * [backup-simplify]: Simplify (+ 0 1) into 1 11.137 * [backup-simplify]: Simplify (log 1) into 0 11.137 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.138 * [backup-simplify]: Simplify (+ 0 0) into 0 11.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.140 * [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))) 11.140 * [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)))) 11.143 * [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))) 11.144 * [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)))) 11.144 * [backup-simplify]: Simplify (exp 0) into 1 11.144 * [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 11.144 * [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 11.144 * [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 11.144 * [taylor]: Taking taylor expansion of 1/4 in U 11.144 * [backup-simplify]: Simplify 1/4 into 1/4 11.144 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.144 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.144 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.144 * [taylor]: Taking taylor expansion of 1/4 in U 11.144 * [backup-simplify]: Simplify 1/4 into 1/4 11.144 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.144 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.144 * [taylor]: Taking taylor expansion of J in U 11.144 * [backup-simplify]: Simplify J into J 11.144 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.144 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.144 * [taylor]: Taking taylor expansion of U in U 11.144 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify 1 into 1 11.144 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.144 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.144 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.145 * [taylor]: Taking taylor expansion of 1/2 in U 11.145 * [backup-simplify]: Simplify 1/2 into 1/2 11.145 * [taylor]: Taking taylor expansion of K in U 11.145 * [backup-simplify]: Simplify K into K 11.145 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.145 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.145 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.145 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.145 * [backup-simplify]: Simplify (- 0) into 0 11.146 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.146 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.146 * [backup-simplify]: Simplify (* 1 1) into 1 11.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.146 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.146 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.146 * [taylor]: Taking taylor expansion of 1 in U 11.147 * [backup-simplify]: Simplify 1 into 1 11.147 * [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))) 11.147 * [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))) 11.147 * [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)))) 11.148 * [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))) 11.148 * [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)))) 11.149 * [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))))) 11.149 * [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 11.149 * [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 11.149 * [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 11.149 * [taylor]: Taking taylor expansion of 1/4 in U 11.149 * [backup-simplify]: Simplify 1/4 into 1/4 11.149 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.149 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.149 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.149 * [taylor]: Taking taylor expansion of 1/4 in U 11.149 * [backup-simplify]: Simplify 1/4 into 1/4 11.149 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.149 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.149 * [taylor]: Taking taylor expansion of J in U 11.149 * [backup-simplify]: Simplify J into J 11.149 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.149 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.149 * [taylor]: Taking taylor expansion of U in U 11.149 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify 1 into 1 11.149 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.149 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.149 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.149 * [taylor]: Taking taylor expansion of 1/2 in U 11.149 * [backup-simplify]: Simplify 1/2 into 1/2 11.149 * [taylor]: Taking taylor expansion of K in U 11.149 * [backup-simplify]: Simplify K into K 11.149 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.150 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.150 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.150 * [backup-simplify]: Simplify (- 0) into 0 11.150 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.150 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.151 * [backup-simplify]: Simplify (* 1 1) into 1 11.151 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.151 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.151 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.151 * [taylor]: Taking taylor expansion of 1 in U 11.151 * [backup-simplify]: Simplify 1 into 1 11.152 * [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))) 11.152 * [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))) 11.152 * [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)))) 11.153 * [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))) 11.153 * [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)))) 11.153 * [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))))) 11.154 * [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 11.154 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.154 * [taylor]: Taking taylor expansion of 1/4 in J 11.154 * [backup-simplify]: Simplify 1/4 into 1/4 11.154 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.154 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.154 * [taylor]: Taking taylor expansion of 1/4 in J 11.154 * [backup-simplify]: Simplify 1/4 into 1/4 11.154 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.154 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.154 * [taylor]: Taking taylor expansion of J in J 11.154 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.154 * [taylor]: Taking taylor expansion of 1/2 in J 11.154 * [backup-simplify]: Simplify 1/2 into 1/2 11.154 * [taylor]: Taking taylor expansion of K in J 11.154 * [backup-simplify]: Simplify K into K 11.154 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.154 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.154 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.155 * [backup-simplify]: Simplify (- 0) into 0 11.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.155 * [backup-simplify]: Simplify (* 1 1) into 1 11.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.155 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.155 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.155 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.155 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.155 * [taylor]: Taking taylor expansion of 2 in J 11.155 * [backup-simplify]: Simplify 2 into 2 11.155 * [taylor]: Taking taylor expansion of (log U) in J 11.155 * [taylor]: Taking taylor expansion of U in J 11.155 * [backup-simplify]: Simplify U into U 11.155 * [backup-simplify]: Simplify (log U) into (log U) 11.156 * [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)))) 11.156 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.156 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.156 * [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))) 11.156 * [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)))) 11.156 * [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))))) 11.156 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.156 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.156 * [taylor]: Taking taylor expansion of 1/4 in K 11.156 * [backup-simplify]: Simplify 1/4 into 1/4 11.156 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.156 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.156 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.156 * [taylor]: Taking taylor expansion of 2 in K 11.156 * [backup-simplify]: Simplify 2 into 2 11.156 * [taylor]: Taking taylor expansion of (log J) in K 11.156 * [taylor]: Taking taylor expansion of J in K 11.156 * [backup-simplify]: Simplify J into J 11.156 * [backup-simplify]: Simplify (log J) into (log J) 11.156 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.156 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.156 * [taylor]: Taking taylor expansion of 1/4 in K 11.157 * [backup-simplify]: Simplify 1/4 into 1/4 11.157 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.157 * [taylor]: Taking taylor expansion of 1/2 in K 11.157 * [backup-simplify]: Simplify 1/2 into 1/2 11.157 * [taylor]: Taking taylor expansion of K in K 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 1 into 1 11.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.157 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.157 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.157 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.157 * [taylor]: Taking taylor expansion of 2 in K 11.157 * [backup-simplify]: Simplify 2 into 2 11.157 * [taylor]: Taking taylor expansion of (log U) in K 11.157 * [taylor]: Taking taylor expansion of U in K 11.157 * [backup-simplify]: Simplify U into U 11.157 * [backup-simplify]: Simplify (log U) into (log U) 11.157 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.157 * [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)))) 11.158 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.158 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.158 * [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))) 11.158 * [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)))) 11.158 * [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))))) 11.158 * [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))))) 11.158 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.159 * [backup-simplify]: Simplify (+ 0) into 0 11.159 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.160 * [backup-simplify]: Simplify (- 0) into 0 11.160 * [backup-simplify]: Simplify (+ 0 0) into 0 11.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.161 * [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 11.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.162 * [backup-simplify]: Simplify (+ 0 0) into 0 11.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.163 * [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))) 11.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.164 * [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 11.164 * [taylor]: Taking taylor expansion of 0 in J 11.164 * [backup-simplify]: Simplify 0 into 0 11.164 * [taylor]: Taking taylor expansion of 0 in K 11.164 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.165 * [backup-simplify]: Simplify (+ 0) into 0 11.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.166 * [backup-simplify]: Simplify (- 0) into 0 11.166 * [backup-simplify]: Simplify (+ 0 0) into 0 11.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.167 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.168 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.168 * [backup-simplify]: Simplify (- 0) into 0 11.169 * [backup-simplify]: Simplify (+ 0 0) into 0 11.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.170 * [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 11.170 * [taylor]: Taking taylor expansion of 0 in K 11.170 * [backup-simplify]: Simplify 0 into 0 11.170 * [backup-simplify]: Simplify 0 into 0 11.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.171 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.172 * [backup-simplify]: Simplify (+ 0 0) into 0 11.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.172 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.173 * [backup-simplify]: Simplify (- 0) into 0 11.173 * [backup-simplify]: Simplify (+ 0 0) into 0 11.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.174 * [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 11.174 * [backup-simplify]: Simplify 0 into 0 11.174 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.175 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.176 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.176 * [backup-simplify]: Simplify (- 0) into 0 11.177 * [backup-simplify]: Simplify (+ 0 0) into 0 11.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.178 * [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 11.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.179 * [backup-simplify]: Simplify (+ 0 1) into 1 11.180 * [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))) 11.181 * [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))) 11.181 * [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)) 11.183 * [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)) 11.183 * [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 11.183 * [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 11.183 * [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 11.183 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.183 * [taylor]: Taking taylor expansion of 1/4 in J 11.183 * [backup-simplify]: Simplify 1/4 into 1/4 11.183 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.183 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.183 * [taylor]: Taking taylor expansion of 1/4 in J 11.183 * [backup-simplify]: Simplify 1/4 into 1/4 11.183 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.183 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.183 * [taylor]: Taking taylor expansion of J in J 11.183 * [backup-simplify]: Simplify 0 into 0 11.183 * [backup-simplify]: Simplify 1 into 1 11.183 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.183 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.183 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.183 * [taylor]: Taking taylor expansion of 1/2 in J 11.183 * [backup-simplify]: Simplify 1/2 into 1/2 11.183 * [taylor]: Taking taylor expansion of K in J 11.183 * [backup-simplify]: Simplify K into K 11.183 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.184 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.184 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.184 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.187 * [backup-simplify]: Simplify (- 0) into 0 11.187 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.187 * [backup-simplify]: Simplify (* 1 1) into 1 11.187 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.188 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.188 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.188 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.188 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.188 * [taylor]: Taking taylor expansion of 2 in J 11.188 * [backup-simplify]: Simplify 2 into 2 11.188 * [taylor]: Taking taylor expansion of (log U) in J 11.188 * [taylor]: Taking taylor expansion of U in J 11.188 * [backup-simplify]: Simplify U into U 11.188 * [backup-simplify]: Simplify (log U) into (log U) 11.189 * [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)))) 11.189 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.189 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.189 * [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))) 11.190 * [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)))) 11.190 * [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))))) 11.190 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.190 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.190 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.190 * [taylor]: Taking taylor expansion of 1/2 in J 11.190 * [backup-simplify]: Simplify 1/2 into 1/2 11.190 * [taylor]: Taking taylor expansion of K in J 11.190 * [backup-simplify]: Simplify K into K 11.190 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.190 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.190 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.190 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.191 * [backup-simplify]: Simplify (- 0) into 0 11.191 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.191 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.191 * [taylor]: Taking taylor expansion of J in J 11.191 * [backup-simplify]: Simplify 0 into 0 11.191 * [backup-simplify]: Simplify 1 into 1 11.191 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.192 * [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)) 11.192 * [backup-simplify]: Simplify (* 1 1) into 1 11.193 * [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)) 11.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.194 * [backup-simplify]: Simplify (+ 0) into 0 11.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.198 * [backup-simplify]: Simplify (- 0) into 0 11.198 * [backup-simplify]: Simplify (+ 0 0) into 0 11.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.199 * [backup-simplify]: Simplify (- 0) into 0 11.200 * [backup-simplify]: Simplify (+ 0 0) into 0 11.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.201 * [backup-simplify]: Simplify (+ 0) into 0 11.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.203 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.204 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.204 * [backup-simplify]: Simplify (- 0) into 0 11.205 * [backup-simplify]: Simplify (+ 0 0) into 0 11.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.205 * [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 11.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.208 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.208 * [backup-simplify]: Simplify (- 0) into 0 11.209 * [backup-simplify]: Simplify (+ 0 0) into 0 11.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.210 * [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 11.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.214 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.214 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.215 * [backup-simplify]: Simplify (- 0) into 0 11.216 * [backup-simplify]: Simplify (+ 0 0) into 0 11.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.217 * [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 11.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.219 * [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 11.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.222 * [backup-simplify]: Simplify (- 0) into 0 11.223 * [backup-simplify]: Simplify (+ 0 0) into 0 11.224 * [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 11.226 * [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 11.227 * [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 11.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.228 * [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 11.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.230 * [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 11.232 * [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 11.232 * [taylor]: Taking taylor expansion of 0 in K 11.232 * [backup-simplify]: Simplify 0 into 0 11.232 * [backup-simplify]: Simplify 0 into 0 11.232 * [taylor]: Taking taylor expansion of 0 in K 11.232 * [backup-simplify]: Simplify 0 into 0 11.232 * [backup-simplify]: Simplify 0 into 0 11.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.237 * [backup-simplify]: Simplify (- 0) into 0 11.237 * [backup-simplify]: Simplify (+ 0 0) into 0 11.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.241 * [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 11.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.244 * [backup-simplify]: Simplify (- 0) into 0 11.245 * [backup-simplify]: Simplify (+ 0 0) into 0 11.246 * [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 11.247 * [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 11.247 * [taylor]: Taking taylor expansion of 0 in K 11.247 * [backup-simplify]: Simplify 0 into 0 11.248 * [backup-simplify]: Simplify 0 into 0 11.248 * [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)))))) 11.249 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.249 * [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 J K) around 0 11.249 * [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 11.249 * [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 11.249 * [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 11.249 * [taylor]: Taking taylor expansion of 1/4 in K 11.249 * [backup-simplify]: Simplify 1/4 into 1/4 11.249 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.249 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.249 * [taylor]: Taking taylor expansion of 1 in K 11.249 * [backup-simplify]: Simplify 1 into 1 11.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.249 * [taylor]: Taking taylor expansion of 1/4 in K 11.249 * [backup-simplify]: Simplify 1/4 into 1/4 11.249 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.249 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.249 * [taylor]: Taking taylor expansion of J in K 11.249 * [backup-simplify]: Simplify J into J 11.249 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.249 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.249 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.249 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.249 * [taylor]: Taking taylor expansion of -1/2 in K 11.249 * [backup-simplify]: Simplify -1/2 into -1/2 11.249 * [taylor]: Taking taylor expansion of K in K 11.249 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify 1 into 1 11.250 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.250 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.250 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.250 * [taylor]: Taking taylor expansion of U in K 11.250 * [backup-simplify]: Simplify U into U 11.250 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.250 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.251 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.251 * [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))) 11.251 * [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)))) 11.252 * [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))))) 11.252 * [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)))))) 11.252 * [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))))))) 11.253 * [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) 11.253 * [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 11.253 * [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 11.253 * [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 11.253 * [taylor]: Taking taylor expansion of 1/4 in J 11.253 * [backup-simplify]: Simplify 1/4 into 1/4 11.253 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.253 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.253 * [taylor]: Taking taylor expansion of 1 in J 11.253 * [backup-simplify]: Simplify 1 into 1 11.253 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.253 * [taylor]: Taking taylor expansion of 1/4 in J 11.253 * [backup-simplify]: Simplify 1/4 into 1/4 11.253 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.253 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.253 * [taylor]: Taking taylor expansion of J in J 11.253 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify 1 into 1 11.254 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.254 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.254 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.254 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.254 * [taylor]: Taking taylor expansion of -1/2 in J 11.254 * [backup-simplify]: Simplify -1/2 into -1/2 11.254 * [taylor]: Taking taylor expansion of K in J 11.254 * [backup-simplify]: Simplify K into K 11.254 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.254 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.254 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.254 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.255 * [backup-simplify]: Simplify (- 0) into 0 11.255 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.255 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.255 * [taylor]: Taking taylor expansion of U in J 11.255 * [backup-simplify]: Simplify U into U 11.255 * [backup-simplify]: Simplify (* 1 1) into 1 11.255 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.255 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.256 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.256 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.256 * [backup-simplify]: Simplify (+ 1 0) into 1 11.257 * [backup-simplify]: Simplify (log 1) into 0 11.257 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.258 * [backup-simplify]: Simplify (+ 0 0) into 0 11.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.260 * [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))) 11.260 * [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)))) 11.263 * [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))) 11.263 * [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)))) 11.264 * [backup-simplify]: Simplify (exp 0) into 1 11.264 * [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 11.264 * [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 11.264 * [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 11.264 * [taylor]: Taking taylor expansion of 1/4 in U 11.264 * [backup-simplify]: Simplify 1/4 into 1/4 11.264 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.264 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.264 * [taylor]: Taking taylor expansion of 1 in U 11.264 * [backup-simplify]: Simplify 1 into 1 11.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.264 * [taylor]: Taking taylor expansion of 1/4 in U 11.264 * [backup-simplify]: Simplify 1/4 into 1/4 11.264 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.264 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.264 * [taylor]: Taking taylor expansion of J in U 11.264 * [backup-simplify]: Simplify J into J 11.264 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.264 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.264 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.264 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.264 * [taylor]: Taking taylor expansion of -1/2 in U 11.264 * [backup-simplify]: Simplify -1/2 into -1/2 11.264 * [taylor]: Taking taylor expansion of K in U 11.264 * [backup-simplify]: Simplify K into K 11.264 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.264 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.265 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.265 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.265 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.265 * [backup-simplify]: Simplify (- 0) into 0 11.265 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.265 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.265 * [taylor]: Taking taylor expansion of U in U 11.265 * [backup-simplify]: Simplify 0 into 0 11.265 * [backup-simplify]: Simplify 1 into 1 11.265 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.266 * [backup-simplify]: Simplify (* 1 1) into 1 11.266 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.266 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.266 * [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))) 11.266 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.266 * [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)))) 11.267 * [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))) 11.267 * [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)))) 11.267 * [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))))) 11.267 * [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 11.267 * [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 11.267 * [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 11.267 * [taylor]: Taking taylor expansion of 1/4 in U 11.267 * [backup-simplify]: Simplify 1/4 into 1/4 11.267 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.267 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.267 * [taylor]: Taking taylor expansion of 1 in U 11.267 * [backup-simplify]: Simplify 1 into 1 11.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.267 * [taylor]: Taking taylor expansion of 1/4 in U 11.267 * [backup-simplify]: Simplify 1/4 into 1/4 11.267 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.267 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.267 * [taylor]: Taking taylor expansion of J in U 11.267 * [backup-simplify]: Simplify J into J 11.267 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.268 * [taylor]: Taking taylor expansion of -1/2 in U 11.268 * [backup-simplify]: Simplify -1/2 into -1/2 11.268 * [taylor]: Taking taylor expansion of K in U 11.268 * [backup-simplify]: Simplify K into K 11.268 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.268 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.268 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.268 * [backup-simplify]: Simplify (- 0) into 0 11.268 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.268 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.268 * [taylor]: Taking taylor expansion of U in U 11.268 * [backup-simplify]: Simplify 0 into 0 11.268 * [backup-simplify]: Simplify 1 into 1 11.268 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.269 * [backup-simplify]: Simplify (* 1 1) into 1 11.269 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.269 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.269 * [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))) 11.269 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.269 * [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)))) 11.269 * [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))) 11.270 * [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)))) 11.270 * [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))))) 11.270 * [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 11.270 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.270 * [taylor]: Taking taylor expansion of 1/4 in J 11.270 * [backup-simplify]: Simplify 1/4 into 1/4 11.270 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.270 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.270 * [taylor]: Taking taylor expansion of 1/4 in J 11.270 * [backup-simplify]: Simplify 1/4 into 1/4 11.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.270 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.270 * [taylor]: Taking taylor expansion of J in J 11.270 * [backup-simplify]: Simplify 0 into 0 11.270 * [backup-simplify]: Simplify 1 into 1 11.270 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.270 * [taylor]: Taking taylor expansion of -1/2 in J 11.270 * [backup-simplify]: Simplify -1/2 into -1/2 11.270 * [taylor]: Taking taylor expansion of K in J 11.270 * [backup-simplify]: Simplify K into K 11.270 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.270 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.270 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.271 * [backup-simplify]: Simplify (- 0) into 0 11.271 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.271 * [backup-simplify]: Simplify (* 1 1) into 1 11.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.271 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.271 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.271 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.272 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.272 * [taylor]: Taking taylor expansion of 2 in J 11.272 * [backup-simplify]: Simplify 2 into 2 11.272 * [taylor]: Taking taylor expansion of (log U) in J 11.272 * [taylor]: Taking taylor expansion of U in J 11.272 * [backup-simplify]: Simplify U into U 11.272 * [backup-simplify]: Simplify (log U) into (log U) 11.272 * [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)))) 11.272 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.272 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.272 * [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))) 11.272 * [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)))) 11.273 * [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))))) 11.273 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.273 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.273 * [taylor]: Taking taylor expansion of 1/4 in K 11.273 * [backup-simplify]: Simplify 1/4 into 1/4 11.273 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.273 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.273 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.273 * [taylor]: Taking taylor expansion of 2 in K 11.273 * [backup-simplify]: Simplify 2 into 2 11.273 * [taylor]: Taking taylor expansion of (log J) in K 11.273 * [taylor]: Taking taylor expansion of J in K 11.273 * [backup-simplify]: Simplify J into J 11.273 * [backup-simplify]: Simplify (log J) into (log J) 11.273 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.273 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.273 * [taylor]: Taking taylor expansion of 1/4 in K 11.273 * [backup-simplify]: Simplify 1/4 into 1/4 11.273 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.273 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.273 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.273 * [taylor]: Taking taylor expansion of -1/2 in K 11.273 * [backup-simplify]: Simplify -1/2 into -1/2 11.273 * [taylor]: Taking taylor expansion of K in K 11.273 * [backup-simplify]: Simplify 0 into 0 11.273 * [backup-simplify]: Simplify 1 into 1 11.273 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.273 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.273 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.273 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.274 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.274 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.274 * [taylor]: Taking taylor expansion of 2 in K 11.274 * [backup-simplify]: Simplify 2 into 2 11.274 * [taylor]: Taking taylor expansion of (log U) in K 11.274 * [taylor]: Taking taylor expansion of U in K 11.274 * [backup-simplify]: Simplify U into U 11.274 * [backup-simplify]: Simplify (log U) into (log U) 11.274 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.274 * [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)))) 11.274 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.274 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.274 * [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))) 11.274 * [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)))) 11.274 * [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))))) 11.275 * [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))))) 11.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.275 * [backup-simplify]: Simplify (+ 0) into 0 11.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.277 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.277 * [backup-simplify]: Simplify (- 0) into 0 11.277 * [backup-simplify]: Simplify (+ 0 0) into 0 11.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.277 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.278 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.278 * [backup-simplify]: Simplify (+ 0 0) into 0 11.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.279 * [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))) 11.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.280 * [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 11.280 * [taylor]: Taking taylor expansion of 0 in J 11.280 * [backup-simplify]: Simplify 0 into 0 11.280 * [taylor]: Taking taylor expansion of 0 in K 11.280 * [backup-simplify]: Simplify 0 into 0 11.281 * [backup-simplify]: Simplify 0 into 0 11.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.281 * [backup-simplify]: Simplify (+ 0) into 0 11.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.282 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.283 * [backup-simplify]: Simplify (- 0) into 0 11.283 * [backup-simplify]: Simplify (+ 0 0) into 0 11.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.283 * [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 11.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.285 * [backup-simplify]: Simplify (- 0) into 0 11.285 * [backup-simplify]: Simplify (+ 0 0) into 0 11.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.286 * [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 11.286 * [taylor]: Taking taylor expansion of 0 in K 11.286 * [backup-simplify]: Simplify 0 into 0 11.286 * [backup-simplify]: Simplify 0 into 0 11.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.287 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.288 * [backup-simplify]: Simplify (+ 0 0) into 0 11.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.289 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.289 * [backup-simplify]: Simplify (- 0) into 0 11.289 * [backup-simplify]: Simplify (+ 0 0) into 0 11.290 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.290 * [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 11.291 * [backup-simplify]: Simplify 0 into 0 11.291 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.293 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.294 * [backup-simplify]: Simplify (- 0) into 0 11.294 * [backup-simplify]: Simplify (+ 0 0) into 0 11.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.295 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.296 * [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 11.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.297 * [backup-simplify]: Simplify (+ 1 0) into 1 11.299 * [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))) 11.300 * [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))) 11.300 * [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)) 11.302 * [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)) 11.302 * [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 11.302 * [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 11.302 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.302 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.302 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.302 * [taylor]: Taking taylor expansion of -1/2 in J 11.302 * [backup-simplify]: Simplify -1/2 into -1/2 11.302 * [taylor]: Taking taylor expansion of K in J 11.302 * [backup-simplify]: Simplify K into K 11.302 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.302 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.302 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.302 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.302 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.303 * [backup-simplify]: Simplify (- 0) into 0 11.303 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.303 * [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 11.303 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.303 * [taylor]: Taking taylor expansion of 1/4 in J 11.303 * [backup-simplify]: Simplify 1/4 into 1/4 11.303 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.303 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.303 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.303 * [taylor]: Taking taylor expansion of 1/4 in J 11.303 * [backup-simplify]: Simplify 1/4 into 1/4 11.303 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.303 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.303 * [taylor]: Taking taylor expansion of J in J 11.303 * [backup-simplify]: Simplify 0 into 0 11.303 * [backup-simplify]: Simplify 1 into 1 11.303 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.303 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.303 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.303 * [taylor]: Taking taylor expansion of -1/2 in J 11.303 * [backup-simplify]: Simplify -1/2 into -1/2 11.303 * [taylor]: Taking taylor expansion of K in J 11.303 * [backup-simplify]: Simplify K into K 11.303 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.303 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.303 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.304 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.304 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.304 * [backup-simplify]: Simplify (- 0) into 0 11.304 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.305 * [backup-simplify]: Simplify (* 1 1) into 1 11.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.305 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.305 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.305 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.305 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.305 * [taylor]: Taking taylor expansion of 2 in J 11.305 * [backup-simplify]: Simplify 2 into 2 11.305 * [taylor]: Taking taylor expansion of (log U) in J 11.305 * [taylor]: Taking taylor expansion of U in J 11.305 * [backup-simplify]: Simplify U into U 11.305 * [backup-simplify]: Simplify (log U) into (log U) 11.306 * [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)))) 11.306 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.306 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.306 * [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))) 11.307 * [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)))) 11.307 * [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))))) 11.307 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.307 * [taylor]: Taking taylor expansion of J in J 11.307 * [backup-simplify]: Simplify 0 into 0 11.307 * [backup-simplify]: Simplify 1 into 1 11.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.308 * [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)))))) 11.308 * [backup-simplify]: Simplify (* 1 1) into 1 11.309 * [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)))))) 11.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.310 * [backup-simplify]: Simplify (+ 0) into 0 11.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.310 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.312 * [backup-simplify]: Simplify (- 0) into 0 11.312 * [backup-simplify]: Simplify (+ 0 0) into 0 11.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.313 * [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 11.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.316 * [backup-simplify]: Simplify (- 0) into 0 11.316 * [backup-simplify]: Simplify (+ 0 0) into 0 11.317 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.324 * [backup-simplify]: Simplify (- 0) into 0 11.325 * [backup-simplify]: Simplify (+ 0 0) into 0 11.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.326 * [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 11.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.329 * [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 11.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.331 * [backup-simplify]: Simplify (- 0) into 0 11.332 * [backup-simplify]: Simplify (+ 0 0) into 0 11.333 * [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 11.334 * [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 11.335 * [backup-simplify]: Simplify (+ 0) into 0 11.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.337 * [backup-simplify]: Simplify (- 0) into 0 11.337 * [backup-simplify]: Simplify (+ 0 0) into 0 11.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.338 * [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 11.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.340 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.341 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.342 * [backup-simplify]: Simplify (- 0) into 0 11.342 * [backup-simplify]: Simplify (+ 0 0) into 0 11.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.344 * [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 11.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.345 * [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 11.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.347 * [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 11.349 * [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 11.349 * [taylor]: Taking taylor expansion of 0 in K 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [taylor]: Taking taylor expansion of 0 in K 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.351 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.352 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.353 * [backup-simplify]: Simplify (- 0) into 0 11.353 * [backup-simplify]: Simplify (+ 0 0) into 0 11.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.354 * [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 11.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.357 * [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 11.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.359 * [backup-simplify]: Simplify (- 0) into 0 11.360 * [backup-simplify]: Simplify (+ 0 0) into 0 11.361 * [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 11.362 * [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 11.362 * [taylor]: Taking taylor expansion of 0 in K 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 0 into 0 11.363 * [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)))))) 11.363 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 11.364 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 11.364 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 11.364 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.364 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.364 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.364 * [taylor]: Taking taylor expansion of 1/4 in K 11.364 * [backup-simplify]: Simplify 1/4 into 1/4 11.364 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.364 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.364 * [taylor]: Taking taylor expansion of U in K 11.364 * [backup-simplify]: Simplify U into U 11.364 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.364 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.364 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.364 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.364 * [taylor]: Taking taylor expansion of 1/2 in K 11.364 * [backup-simplify]: Simplify 1/2 into 1/2 11.364 * [taylor]: Taking taylor expansion of K in K 11.364 * [backup-simplify]: Simplify 0 into 0 11.364 * [backup-simplify]: Simplify 1 into 1 11.364 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.365 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.365 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.365 * [taylor]: Taking taylor expansion of J in K 11.365 * [backup-simplify]: Simplify J into J 11.365 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.366 * [backup-simplify]: Simplify (* 1 1) into 1 11.366 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.366 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.366 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.366 * [taylor]: Taking taylor expansion of 1 in K 11.366 * [backup-simplify]: Simplify 1 into 1 11.366 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.366 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.367 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.367 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.367 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.367 * [backup-simplify]: Simplify (+ 0) into 0 11.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 11.368 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 11.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 11.369 * [backup-simplify]: Simplify (+ 0 0) into 0 11.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 11.370 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.370 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.370 * [taylor]: Taking taylor expansion of 1/4 in J 11.370 * [backup-simplify]: Simplify 1/4 into 1/4 11.370 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.370 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.370 * [taylor]: Taking taylor expansion of U in J 11.370 * [backup-simplify]: Simplify U into U 11.370 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.370 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.370 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.370 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.370 * [taylor]: Taking taylor expansion of 1/2 in J 11.370 * [backup-simplify]: Simplify 1/2 into 1/2 11.370 * [taylor]: Taking taylor expansion of K in J 11.370 * [backup-simplify]: Simplify K into K 11.370 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.370 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.370 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.370 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.370 * [backup-simplify]: Simplify (- 0) into 0 11.370 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.370 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.370 * [taylor]: Taking taylor expansion of J in J 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.371 * [backup-simplify]: Simplify (* 1 1) into 1 11.371 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.371 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.371 * [taylor]: Taking taylor expansion of 1 in J 11.371 * [backup-simplify]: Simplify 1 into 1 11.371 * [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))) 11.371 * [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))) 11.371 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 11.372 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.372 * [backup-simplify]: Simplify (+ 0) into 0 11.372 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.373 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.374 * [backup-simplify]: Simplify (- 0) into 0 11.374 * [backup-simplify]: Simplify (+ 0 0) into 0 11.374 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.374 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.375 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 11.375 * [backup-simplify]: Simplify (+ 0 0) into 0 11.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 11.375 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.375 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.375 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.375 * [taylor]: Taking taylor expansion of 1/4 in U 11.375 * [backup-simplify]: Simplify 1/4 into 1/4 11.376 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.376 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.376 * [taylor]: Taking taylor expansion of U in U 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 1 into 1 11.376 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.376 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.376 * [taylor]: Taking taylor expansion of 1/2 in U 11.376 * [backup-simplify]: Simplify 1/2 into 1/2 11.376 * [taylor]: Taking taylor expansion of K in U 11.376 * [backup-simplify]: Simplify K into K 11.376 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.376 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.376 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.376 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.376 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.376 * [backup-simplify]: Simplify (- 0) into 0 11.376 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.377 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.377 * [taylor]: Taking taylor expansion of J in U 11.377 * [backup-simplify]: Simplify J into J 11.377 * [backup-simplify]: Simplify (* 1 1) into 1 11.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.377 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.377 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.377 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.377 * [taylor]: Taking taylor expansion of 1 in U 11.377 * [backup-simplify]: Simplify 1 into 1 11.377 * [backup-simplify]: Simplify (+ 0 1) into 1 11.378 * [backup-simplify]: Simplify (sqrt 1) into 1 11.378 * [backup-simplify]: Simplify (+ 0 0) into 0 11.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.378 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.378 * [taylor]: Taking taylor expansion of 1/4 in U 11.378 * [backup-simplify]: Simplify 1/4 into 1/4 11.378 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.378 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.379 * [taylor]: Taking taylor expansion of U in U 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 1 into 1 11.379 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.379 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.379 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.379 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.379 * [taylor]: Taking taylor expansion of 1/2 in U 11.379 * [backup-simplify]: Simplify 1/2 into 1/2 11.379 * [taylor]: Taking taylor expansion of K in U 11.379 * [backup-simplify]: Simplify K into K 11.379 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.379 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.379 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.379 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.379 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.379 * [backup-simplify]: Simplify (- 0) into 0 11.379 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.379 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.379 * [taylor]: Taking taylor expansion of J in U 11.379 * [backup-simplify]: Simplify J into J 11.379 * [backup-simplify]: Simplify (* 1 1) into 1 11.380 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.380 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.380 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.380 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.380 * [taylor]: Taking taylor expansion of 1 in U 11.380 * [backup-simplify]: Simplify 1 into 1 11.380 * [backup-simplify]: Simplify (+ 0 1) into 1 11.380 * [backup-simplify]: Simplify (sqrt 1) into 1 11.381 * [backup-simplify]: Simplify (+ 0 0) into 0 11.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.381 * [taylor]: Taking taylor expansion of 1 in J 11.381 * [backup-simplify]: Simplify 1 into 1 11.381 * [taylor]: Taking taylor expansion of 0 in J 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [taylor]: Taking taylor expansion of 1 in K 11.381 * [backup-simplify]: Simplify 1 into 1 11.381 * [backup-simplify]: Simplify 1 into 1 11.382 * [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))) 11.382 * [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)))) 11.383 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.383 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.383 * [taylor]: Taking taylor expansion of 1/8 in J 11.383 * [backup-simplify]: Simplify 1/8 into 1/8 11.383 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.383 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.383 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.383 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.383 * [taylor]: Taking taylor expansion of 1/2 in J 11.383 * [backup-simplify]: Simplify 1/2 into 1/2 11.383 * [taylor]: Taking taylor expansion of K in J 11.383 * [backup-simplify]: Simplify K into K 11.383 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.383 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.383 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.383 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.383 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.383 * [backup-simplify]: Simplify (- 0) into 0 11.383 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.383 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.383 * [taylor]: Taking taylor expansion of J in J 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 1 into 1 11.383 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.384 * [backup-simplify]: Simplify (* 1 1) into 1 11.384 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.384 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 11.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.385 * [backup-simplify]: Simplify (+ 0) into 0 11.385 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.386 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.386 * [backup-simplify]: Simplify (- 0) into 0 11.386 * [backup-simplify]: Simplify (+ 0 0) into 0 11.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.387 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.387 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.387 * [taylor]: Taking taylor expansion of 0 in K 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [taylor]: Taking taylor expansion of 0 in K 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [taylor]: Taking taylor expansion of 0 in K 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.388 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.388 * [backup-simplify]: Simplify (+ 0) into 0 11.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.389 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.390 * [backup-simplify]: Simplify (- 0) into 0 11.390 * [backup-simplify]: Simplify (+ 0 0) into 0 11.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.390 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 11.390 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 11.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 11.391 * [backup-simplify]: Simplify (+ 0 0) into 0 11.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 11.391 * [taylor]: Taking taylor expansion of 0 in J 11.391 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.394 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.394 * [backup-simplify]: Simplify (- 0) into 0 11.395 * [backup-simplify]: Simplify (+ 0 0) into 0 11.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.395 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.396 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.396 * [taylor]: Taking taylor expansion of 0 in K 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [taylor]: Taking taylor expansion of 0 in K 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 1 into 1 11.396 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.396 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 11.396 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.396 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.396 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.396 * [taylor]: Taking taylor expansion of 1/4 in K 11.396 * [backup-simplify]: Simplify 1/4 into 1/4 11.396 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.396 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.396 * [taylor]: Taking taylor expansion of J in K 11.396 * [backup-simplify]: Simplify J into J 11.396 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.396 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.396 * [taylor]: Taking taylor expansion of U in K 11.396 * [backup-simplify]: Simplify U into U 11.396 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.396 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.396 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.396 * [taylor]: Taking taylor expansion of 1/2 in K 11.396 * [backup-simplify]: Simplify 1/2 into 1/2 11.396 * [taylor]: Taking taylor expansion of K in K 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 1 into 1 11.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.397 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.397 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.397 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.397 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.397 * [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))) 11.397 * [taylor]: Taking taylor expansion of 1 in K 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [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)))) 11.398 * [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) 11.398 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.398 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.398 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.398 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.399 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.400 * [backup-simplify]: Simplify (+ 0 0) into 0 11.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 11.401 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.401 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.401 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.401 * [taylor]: Taking taylor expansion of 1/4 in J 11.401 * [backup-simplify]: Simplify 1/4 into 1/4 11.401 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.401 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.401 * [taylor]: Taking taylor expansion of J in J 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.401 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.401 * [taylor]: Taking taylor expansion of U in J 11.401 * [backup-simplify]: Simplify U into U 11.401 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.401 * [taylor]: Taking taylor expansion of 1/2 in J 11.401 * [backup-simplify]: Simplify 1/2 into 1/2 11.401 * [taylor]: Taking taylor expansion of K in J 11.401 * [backup-simplify]: Simplify K into K 11.401 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.401 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.402 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.402 * [backup-simplify]: Simplify (- 0) into 0 11.402 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.402 * [backup-simplify]: Simplify (* 1 1) into 1 11.403 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.403 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.403 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.403 * [taylor]: Taking taylor expansion of 1 in J 11.403 * [backup-simplify]: Simplify 1 into 1 11.404 * [backup-simplify]: Simplify (+ 0 1) into 1 11.404 * [backup-simplify]: Simplify (sqrt 1) into 1 11.404 * [backup-simplify]: Simplify (+ 0 0) into 0 11.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.405 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.405 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.405 * [taylor]: Taking taylor expansion of 1/4 in U 11.405 * [backup-simplify]: Simplify 1/4 into 1/4 11.405 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.405 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.405 * [taylor]: Taking taylor expansion of J in U 11.405 * [backup-simplify]: Simplify J into J 11.405 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.405 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.405 * [taylor]: Taking taylor expansion of U in U 11.405 * [backup-simplify]: Simplify 0 into 0 11.405 * [backup-simplify]: Simplify 1 into 1 11.405 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.405 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.405 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.405 * [taylor]: Taking taylor expansion of 1/2 in U 11.405 * [backup-simplify]: Simplify 1/2 into 1/2 11.405 * [taylor]: Taking taylor expansion of K in U 11.405 * [backup-simplify]: Simplify K into K 11.406 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.406 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.406 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.406 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.406 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.406 * [backup-simplify]: Simplify (- 0) into 0 11.406 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.406 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.407 * [backup-simplify]: Simplify (* 1 1) into 1 11.407 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.407 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.407 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.407 * [taylor]: Taking taylor expansion of 1 in U 11.407 * [backup-simplify]: Simplify 1 into 1 11.407 * [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))) 11.408 * [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))) 11.408 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.408 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.408 * [backup-simplify]: Simplify (+ 0) into 0 11.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.411 * [backup-simplify]: Simplify (- 0) into 0 11.411 * [backup-simplify]: Simplify (+ 0 0) into 0 11.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.413 * [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 11.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.414 * [backup-simplify]: Simplify (+ 0 0) into 0 11.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.414 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.414 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.414 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.414 * [taylor]: Taking taylor expansion of 1/4 in U 11.414 * [backup-simplify]: Simplify 1/4 into 1/4 11.414 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.414 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.414 * [taylor]: Taking taylor expansion of J in U 11.414 * [backup-simplify]: Simplify J into J 11.414 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.414 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.414 * [taylor]: Taking taylor expansion of U in U 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify 1 into 1 11.414 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.414 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.415 * [taylor]: Taking taylor expansion of 1/2 in U 11.415 * [backup-simplify]: Simplify 1/2 into 1/2 11.415 * [taylor]: Taking taylor expansion of K in U 11.415 * [backup-simplify]: Simplify K into K 11.415 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.415 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.415 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.415 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.415 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.415 * [backup-simplify]: Simplify (- 0) into 0 11.415 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.415 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.416 * [backup-simplify]: Simplify (* 1 1) into 1 11.416 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.416 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.416 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.416 * [taylor]: Taking taylor expansion of 1 in U 11.416 * [backup-simplify]: Simplify 1 into 1 11.416 * [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))) 11.417 * [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))) 11.417 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.417 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.417 * [backup-simplify]: Simplify (+ 0) into 0 11.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.418 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.420 * [backup-simplify]: Simplify (- 0) into 0 11.420 * [backup-simplify]: Simplify (+ 0 0) into 0 11.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.422 * [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 11.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.423 * [backup-simplify]: Simplify (+ 0 0) into 0 11.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 11.423 * [taylor]: Taking taylor expansion of 1/2 in J 11.423 * [backup-simplify]: Simplify 1/2 into 1/2 11.424 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 11.424 * [taylor]: Taking taylor expansion of J in J 11.424 * [backup-simplify]: Simplify 0 into 0 11.424 * [backup-simplify]: Simplify 1 into 1 11.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.424 * [taylor]: Taking taylor expansion of 1/2 in J 11.424 * [backup-simplify]: Simplify 1/2 into 1/2 11.424 * [taylor]: Taking taylor expansion of K in J 11.424 * [backup-simplify]: Simplify K into K 11.424 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.424 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.424 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.424 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.424 * [backup-simplify]: Simplify (- 0) into 0 11.425 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.425 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 11.425 * [taylor]: Taking taylor expansion of 0 in J 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [taylor]: Taking taylor expansion of 0 in K 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 11.425 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 11.425 * [taylor]: Taking taylor expansion of 1/2 in K 11.425 * [backup-simplify]: Simplify 1/2 into 1/2 11.425 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.425 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.425 * [taylor]: Taking taylor expansion of 1/2 in K 11.425 * [backup-simplify]: Simplify 1/2 into 1/2 11.425 * [taylor]: Taking taylor expansion of K in K 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [backup-simplify]: Simplify 1 into 1 11.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.426 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.426 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.426 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.426 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.428 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.430 * [backup-simplify]: Simplify (- 0) into 0 11.430 * [backup-simplify]: Simplify (+ 0 0) into 0 11.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.433 * [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 11.434 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.434 * [backup-simplify]: Simplify (+ 0 1) into 1 11.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 11.435 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 11.435 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.435 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.435 * [taylor]: Taking taylor expansion of 1/2 in J 11.435 * [backup-simplify]: Simplify 1/2 into 1/2 11.435 * [taylor]: Taking taylor expansion of K in J 11.435 * [backup-simplify]: Simplify K into K 11.435 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.436 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.436 * [taylor]: Taking taylor expansion of J in J 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 1 into 1 11.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.436 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.436 * [backup-simplify]: Simplify (- 0) into 0 11.436 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.436 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.437 * [backup-simplify]: Simplify (+ 0) into 0 11.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.438 * [backup-simplify]: Simplify (- 0) into 0 11.439 * [backup-simplify]: Simplify (+ 0 0) into 0 11.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.439 * [taylor]: Taking taylor expansion of 0 in K 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [taylor]: Taking taylor expansion of 0 in K 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 0 into 0 11.440 * [backup-simplify]: Simplify (+ 0) into 0 11.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.441 * [backup-simplify]: Simplify (- 0) into 0 11.441 * [backup-simplify]: Simplify (+ 0 0) into 0 11.441 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.442 * [taylor]: Taking taylor expansion of 0 in K 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.442 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.443 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.448 * [backup-simplify]: Simplify (- 0) into 0 11.449 * [backup-simplify]: Simplify (+ 0 0) into 0 11.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 11.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.451 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.452 * [backup-simplify]: Simplify (+ 0 0) into 0 11.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 11.452 * [taylor]: Taking taylor expansion of 0 in J 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [taylor]: Taking taylor expansion of 0 in K 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.453 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.453 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 11.453 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.453 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.453 * [taylor]: Taking taylor expansion of 1 in K 11.453 * [backup-simplify]: Simplify 1 into 1 11.453 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.453 * [taylor]: Taking taylor expansion of 1/4 in K 11.453 * [backup-simplify]: Simplify 1/4 into 1/4 11.453 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.453 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.453 * [taylor]: Taking taylor expansion of J in K 11.453 * [backup-simplify]: Simplify J into J 11.453 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.453 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.453 * [taylor]: Taking taylor expansion of -1/2 in K 11.453 * [backup-simplify]: Simplify -1/2 into -1/2 11.453 * [taylor]: Taking taylor expansion of K in K 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 1 into 1 11.453 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.453 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.453 * [taylor]: Taking taylor expansion of U in K 11.453 * [backup-simplify]: Simplify U into U 11.453 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.453 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.453 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.454 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.454 * [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))) 11.454 * [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)))) 11.454 * [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))))) 11.454 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.454 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.454 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.455 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.455 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.455 * [backup-simplify]: Simplify (+ 0 0) into 0 11.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.456 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.456 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.456 * [taylor]: Taking taylor expansion of 1 in J 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.456 * [taylor]: Taking taylor expansion of 1/4 in J 11.456 * [backup-simplify]: Simplify 1/4 into 1/4 11.456 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.456 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.456 * [taylor]: Taking taylor expansion of J in J 11.456 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.456 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.456 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.456 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.456 * [taylor]: Taking taylor expansion of -1/2 in J 11.456 * [backup-simplify]: Simplify -1/2 into -1/2 11.456 * [taylor]: Taking taylor expansion of K in J 11.456 * [backup-simplify]: Simplify K into K 11.456 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.456 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.456 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.456 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.456 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.457 * [backup-simplify]: Simplify (- 0) into 0 11.457 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.457 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.457 * [taylor]: Taking taylor expansion of U in J 11.457 * [backup-simplify]: Simplify U into U 11.457 * [backup-simplify]: Simplify (* 1 1) into 1 11.457 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.457 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.457 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.457 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.457 * [backup-simplify]: Simplify (+ 1 0) into 1 11.458 * [backup-simplify]: Simplify (sqrt 1) into 1 11.458 * [backup-simplify]: Simplify (+ 0 0) into 0 11.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.459 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.459 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.459 * [taylor]: Taking taylor expansion of 1 in U 11.459 * [backup-simplify]: Simplify 1 into 1 11.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.459 * [taylor]: Taking taylor expansion of 1/4 in U 11.459 * [backup-simplify]: Simplify 1/4 into 1/4 11.459 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.459 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.459 * [taylor]: Taking taylor expansion of J in U 11.459 * [backup-simplify]: Simplify J into J 11.459 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.459 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.459 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.459 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.459 * [taylor]: Taking taylor expansion of -1/2 in U 11.459 * [backup-simplify]: Simplify -1/2 into -1/2 11.459 * [taylor]: Taking taylor expansion of K in U 11.459 * [backup-simplify]: Simplify K into K 11.459 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.459 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.459 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.459 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.459 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.459 * [backup-simplify]: Simplify (- 0) into 0 11.459 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.459 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.459 * [taylor]: Taking taylor expansion of U in U 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify 1 into 1 11.459 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.460 * [backup-simplify]: Simplify (* 1 1) into 1 11.460 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.460 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.460 * [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))) 11.460 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.460 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.460 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.461 * [backup-simplify]: Simplify (+ 0) into 0 11.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.462 * [backup-simplify]: Simplify (- 0) into 0 11.463 * [backup-simplify]: Simplify (+ 0 0) into 0 11.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.463 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.463 * [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 11.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.464 * [backup-simplify]: Simplify (+ 0 0) into 0 11.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.464 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.464 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.464 * [taylor]: Taking taylor expansion of 1 in U 11.464 * [backup-simplify]: Simplify 1 into 1 11.464 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.464 * [taylor]: Taking taylor expansion of 1/4 in U 11.464 * [backup-simplify]: Simplify 1/4 into 1/4 11.464 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.464 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.464 * [taylor]: Taking taylor expansion of J in U 11.464 * [backup-simplify]: Simplify J into J 11.464 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.464 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.464 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.464 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.464 * [taylor]: Taking taylor expansion of -1/2 in U 11.464 * [backup-simplify]: Simplify -1/2 into -1/2 11.464 * [taylor]: Taking taylor expansion of K in U 11.464 * [backup-simplify]: Simplify K into K 11.464 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.465 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.465 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.465 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.465 * [backup-simplify]: Simplify (- 0) into 0 11.465 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.465 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.465 * [taylor]: Taking taylor expansion of U in U 11.465 * [backup-simplify]: Simplify 0 into 0 11.465 * [backup-simplify]: Simplify 1 into 1 11.465 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.465 * [backup-simplify]: Simplify (* 1 1) into 1 11.465 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.466 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.466 * [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))) 11.466 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.466 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.466 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.467 * [backup-simplify]: Simplify (+ 0) into 0 11.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.468 * [backup-simplify]: Simplify (- 0) into 0 11.468 * [backup-simplify]: Simplify (+ 0 0) into 0 11.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.469 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.469 * [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 11.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.470 * [backup-simplify]: Simplify (+ 0 0) into 0 11.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.470 * [taylor]: Taking taylor expansion of 1/2 in J 11.470 * [backup-simplify]: Simplify 1/2 into 1/2 11.470 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.470 * [taylor]: Taking taylor expansion of J in J 11.470 * [backup-simplify]: Simplify 0 into 0 11.470 * [backup-simplify]: Simplify 1 into 1 11.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.470 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.470 * [taylor]: Taking taylor expansion of -1/2 in J 11.470 * [backup-simplify]: Simplify -1/2 into -1/2 11.470 * [taylor]: Taking taylor expansion of K in J 11.470 * [backup-simplify]: Simplify K into K 11.470 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.470 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.470 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.470 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.470 * [backup-simplify]: Simplify (- 0) into 0 11.471 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.471 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.471 * [taylor]: Taking taylor expansion of 0 in J 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [taylor]: Taking taylor expansion of 0 in K 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.471 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 11.471 * [taylor]: Taking taylor expansion of 1/2 in K 11.471 * [backup-simplify]: Simplify 1/2 into 1/2 11.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.471 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.471 * [taylor]: Taking taylor expansion of -1/2 in K 11.471 * [backup-simplify]: Simplify -1/2 into -1/2 11.471 * [taylor]: Taking taylor expansion of K in K 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [backup-simplify]: Simplify 1 into 1 11.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.471 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.471 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.471 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.472 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.475 * [backup-simplify]: Simplify (- 0) into 0 11.475 * [backup-simplify]: Simplify (+ 0 0) into 0 11.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.476 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.476 * [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 11.477 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.477 * [backup-simplify]: Simplify (+ 1 0) into 1 11.477 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.477 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.477 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.477 * [taylor]: Taking taylor expansion of -1/2 in J 11.477 * [backup-simplify]: Simplify -1/2 into -1/2 11.477 * [taylor]: Taking taylor expansion of K in J 11.477 * [backup-simplify]: Simplify K into K 11.477 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.478 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.478 * [taylor]: Taking taylor expansion of J in J 11.478 * [backup-simplify]: Simplify 0 into 0 11.478 * [backup-simplify]: Simplify 1 into 1 11.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.478 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.478 * [backup-simplify]: Simplify (- 0) into 0 11.478 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.478 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.478 * [backup-simplify]: Simplify (+ 0) into 0 11.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.480 * [backup-simplify]: Simplify (- 0) into 0 11.480 * [backup-simplify]: Simplify (+ 0 0) into 0 11.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.481 * [taylor]: Taking taylor expansion of 0 in K 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [taylor]: Taking taylor expansion of 0 in K 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify (+ 0) into 0 11.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.481 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.482 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.483 * [backup-simplify]: Simplify (- 0) into 0 11.483 * [backup-simplify]: Simplify (+ 0 0) into 0 11.483 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.483 * [taylor]: Taking taylor expansion of 0 in K 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.483 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.487 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.487 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.487 * [backup-simplify]: Simplify (- 0) into 0 11.488 * [backup-simplify]: Simplify (+ 0 0) into 0 11.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 11.489 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.489 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.490 * [backup-simplify]: Simplify (+ 0 0) into 0 11.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 11.490 * [taylor]: Taking taylor expansion of 0 in J 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [taylor]: Taking taylor expansion of 0 in K 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.491 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 11.491 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 11.491 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 11.491 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.491 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.491 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.491 * [taylor]: Taking taylor expansion of 1/4 in K 11.491 * [backup-simplify]: Simplify 1/4 into 1/4 11.491 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.491 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.491 * [taylor]: Taking taylor expansion of U in K 11.491 * [backup-simplify]: Simplify U into U 11.491 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.491 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.491 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.491 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.491 * [taylor]: Taking taylor expansion of 1/2 in K 11.491 * [backup-simplify]: Simplify 1/2 into 1/2 11.491 * [taylor]: Taking taylor expansion of K in K 11.491 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify 1 into 1 11.491 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.492 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.492 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.492 * [taylor]: Taking taylor expansion of J in K 11.492 * [backup-simplify]: Simplify J into J 11.492 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.492 * [backup-simplify]: Simplify (* 1 1) into 1 11.492 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.492 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.492 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.492 * [taylor]: Taking taylor expansion of 1 in K 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.493 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.493 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.493 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.493 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.493 * [backup-simplify]: Simplify (+ 0) into 0 11.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 11.494 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 11.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 11.494 * [backup-simplify]: Simplify (+ 0 0) into 0 11.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 11.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.495 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.495 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.495 * [taylor]: Taking taylor expansion of 1/4 in J 11.495 * [backup-simplify]: Simplify 1/4 into 1/4 11.495 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.495 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.495 * [taylor]: Taking taylor expansion of U in J 11.495 * [backup-simplify]: Simplify U into U 11.495 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.495 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.495 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.495 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.495 * [taylor]: Taking taylor expansion of 1/2 in J 11.495 * [backup-simplify]: Simplify 1/2 into 1/2 11.495 * [taylor]: Taking taylor expansion of K in J 11.495 * [backup-simplify]: Simplify K into K 11.495 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.495 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.495 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.495 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.495 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.495 * [backup-simplify]: Simplify (- 0) into 0 11.495 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.495 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.495 * [taylor]: Taking taylor expansion of J in J 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.496 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.496 * [backup-simplify]: Simplify (* 1 1) into 1 11.496 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.496 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.496 * [taylor]: Taking taylor expansion of 1 in J 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [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))) 11.496 * [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))) 11.496 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 11.497 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.497 * [backup-simplify]: Simplify (+ 0) into 0 11.497 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.499 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.499 * [backup-simplify]: Simplify (- 0) into 0 11.499 * [backup-simplify]: Simplify (+ 0 0) into 0 11.499 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.499 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.500 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 11.500 * [backup-simplify]: Simplify (+ 0 0) into 0 11.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 11.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.500 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.501 * [taylor]: Taking taylor expansion of 1/4 in U 11.501 * [backup-simplify]: Simplify 1/4 into 1/4 11.501 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.501 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.501 * [taylor]: Taking taylor expansion of U in U 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 1 into 1 11.501 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.501 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.501 * [taylor]: Taking taylor expansion of 1/2 in U 11.501 * [backup-simplify]: Simplify 1/2 into 1/2 11.501 * [taylor]: Taking taylor expansion of K in U 11.501 * [backup-simplify]: Simplify K into K 11.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.501 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.501 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.501 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.501 * [backup-simplify]: Simplify (- 0) into 0 11.501 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.501 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.501 * [taylor]: Taking taylor expansion of J in U 11.501 * [backup-simplify]: Simplify J into J 11.502 * [backup-simplify]: Simplify (* 1 1) into 1 11.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.502 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.502 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.502 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.502 * [taylor]: Taking taylor expansion of 1 in U 11.502 * [backup-simplify]: Simplify 1 into 1 11.502 * [backup-simplify]: Simplify (+ 0 1) into 1 11.502 * [backup-simplify]: Simplify (sqrt 1) into 1 11.503 * [backup-simplify]: Simplify (+ 0 0) into 0 11.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.503 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.503 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.503 * [taylor]: Taking taylor expansion of 1/4 in U 11.503 * [backup-simplify]: Simplify 1/4 into 1/4 11.503 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.503 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.503 * [taylor]: Taking taylor expansion of U in U 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.503 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.503 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.503 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.503 * [taylor]: Taking taylor expansion of 1/2 in U 11.503 * [backup-simplify]: Simplify 1/2 into 1/2 11.503 * [taylor]: Taking taylor expansion of K in U 11.503 * [backup-simplify]: Simplify K into K 11.503 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.503 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.503 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.504 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.504 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.504 * [backup-simplify]: Simplify (- 0) into 0 11.504 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.504 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.504 * [taylor]: Taking taylor expansion of J in U 11.504 * [backup-simplify]: Simplify J into J 11.504 * [backup-simplify]: Simplify (* 1 1) into 1 11.504 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.504 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.504 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.504 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.505 * [taylor]: Taking taylor expansion of 1 in U 11.505 * [backup-simplify]: Simplify 1 into 1 11.505 * [backup-simplify]: Simplify (+ 0 1) into 1 11.505 * [backup-simplify]: Simplify (sqrt 1) into 1 11.505 * [backup-simplify]: Simplify (+ 0 0) into 0 11.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.506 * [taylor]: Taking taylor expansion of 1 in J 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [taylor]: Taking taylor expansion of 0 in J 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [taylor]: Taking taylor expansion of 1 in K 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [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))) 11.506 * [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)))) 11.507 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.507 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.507 * [taylor]: Taking taylor expansion of 1/8 in J 11.507 * [backup-simplify]: Simplify 1/8 into 1/8 11.507 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.507 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.507 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.507 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.507 * [taylor]: Taking taylor expansion of 1/2 in J 11.507 * [backup-simplify]: Simplify 1/2 into 1/2 11.507 * [taylor]: Taking taylor expansion of K in J 11.507 * [backup-simplify]: Simplify K into K 11.507 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.507 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.507 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.507 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.507 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.508 * [backup-simplify]: Simplify (- 0) into 0 11.508 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.508 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.508 * [taylor]: Taking taylor expansion of J in J 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 1 into 1 11.508 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.508 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.508 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (+ 0) into 0 11.509 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.511 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.511 * [backup-simplify]: Simplify (- 0) into 0 11.511 * [backup-simplify]: Simplify (+ 0 0) into 0 11.511 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.512 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.512 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.512 * [taylor]: Taking taylor expansion of 0 in K 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [taylor]: Taking taylor expansion of 0 in K 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.513 * [taylor]: Taking taylor expansion of 0 in K 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.513 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.514 * [backup-simplify]: Simplify (+ 0) into 0 11.514 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.516 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.516 * [backup-simplify]: Simplify (- 0) into 0 11.517 * [backup-simplify]: Simplify (+ 0 0) into 0 11.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.517 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 11.517 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 11.518 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 11.518 * [backup-simplify]: Simplify (+ 0 0) into 0 11.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 11.519 * [taylor]: Taking taylor expansion of 0 in J 11.519 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.524 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.524 * [backup-simplify]: Simplify (- 0) into 0 11.525 * [backup-simplify]: Simplify (+ 0 0) into 0 11.525 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.526 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.526 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.527 * [taylor]: Taking taylor expansion of 0 in K 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [taylor]: Taking taylor expansion of 0 in K 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.527 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 11.527 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.527 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.527 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.527 * [taylor]: Taking taylor expansion of 1/4 in K 11.527 * [backup-simplify]: Simplify 1/4 into 1/4 11.527 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.527 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.527 * [taylor]: Taking taylor expansion of J in K 11.527 * [backup-simplify]: Simplify J into J 11.527 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.527 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.528 * [taylor]: Taking taylor expansion of U in K 11.528 * [backup-simplify]: Simplify U into U 11.528 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.528 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.528 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.528 * [taylor]: Taking taylor expansion of 1/2 in K 11.528 * [backup-simplify]: Simplify 1/2 into 1/2 11.528 * [taylor]: Taking taylor expansion of K in K 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify 1 into 1 11.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.528 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.528 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.528 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.529 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.529 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.529 * [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))) 11.529 * [taylor]: Taking taylor expansion of 1 in K 11.529 * [backup-simplify]: Simplify 1 into 1 11.529 * [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)))) 11.530 * [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) 11.530 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.530 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.530 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.530 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.531 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.532 * [backup-simplify]: Simplify (+ 0 0) into 0 11.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 11.533 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.533 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.533 * [taylor]: Taking taylor expansion of 1/4 in J 11.533 * [backup-simplify]: Simplify 1/4 into 1/4 11.533 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.533 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.533 * [taylor]: Taking taylor expansion of J in J 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.533 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.533 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.533 * [taylor]: Taking taylor expansion of U in J 11.533 * [backup-simplify]: Simplify U into U 11.533 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.533 * [taylor]: Taking taylor expansion of 1/2 in J 11.533 * [backup-simplify]: Simplify 1/2 into 1/2 11.533 * [taylor]: Taking taylor expansion of K in J 11.533 * [backup-simplify]: Simplify K into K 11.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.534 * [backup-simplify]: Simplify (- 0) into 0 11.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.534 * [backup-simplify]: Simplify (* 1 1) into 1 11.534 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.534 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.535 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.535 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.535 * [taylor]: Taking taylor expansion of 1 in J 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (+ 0 1) into 1 11.536 * [backup-simplify]: Simplify (sqrt 1) into 1 11.536 * [backup-simplify]: Simplify (+ 0 0) into 0 11.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.537 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.537 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.537 * [taylor]: Taking taylor expansion of 1/4 in U 11.537 * [backup-simplify]: Simplify 1/4 into 1/4 11.537 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.537 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.537 * [taylor]: Taking taylor expansion of J in U 11.537 * [backup-simplify]: Simplify J into J 11.537 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.537 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.537 * [taylor]: Taking taylor expansion of U in U 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 1 into 1 11.537 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.537 * [taylor]: Taking taylor expansion of 1/2 in U 11.537 * [backup-simplify]: Simplify 1/2 into 1/2 11.537 * [taylor]: Taking taylor expansion of K in U 11.537 * [backup-simplify]: Simplify K into K 11.537 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.537 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.537 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.538 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.538 * [backup-simplify]: Simplify (- 0) into 0 11.538 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.538 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.538 * [backup-simplify]: Simplify (* 1 1) into 1 11.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.539 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.539 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.539 * [taylor]: Taking taylor expansion of 1 in U 11.539 * [backup-simplify]: Simplify 1 into 1 11.539 * [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))) 11.539 * [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))) 11.540 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.540 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.540 * [backup-simplify]: Simplify (+ 0) into 0 11.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.542 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.542 * [backup-simplify]: Simplify (- 0) into 0 11.543 * [backup-simplify]: Simplify (+ 0 0) into 0 11.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.544 * [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 11.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.545 * [backup-simplify]: Simplify (+ 0 0) into 0 11.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.546 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.546 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.546 * [taylor]: Taking taylor expansion of 1/4 in U 11.546 * [backup-simplify]: Simplify 1/4 into 1/4 11.546 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.546 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.546 * [taylor]: Taking taylor expansion of J in U 11.546 * [backup-simplify]: Simplify J into J 11.546 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.546 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.546 * [taylor]: Taking taylor expansion of U in U 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.546 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.546 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.546 * [taylor]: Taking taylor expansion of 1/2 in U 11.546 * [backup-simplify]: Simplify 1/2 into 1/2 11.546 * [taylor]: Taking taylor expansion of K in U 11.546 * [backup-simplify]: Simplify K into K 11.546 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.546 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.546 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.547 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.547 * [backup-simplify]: Simplify (- 0) into 0 11.547 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.547 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.547 * [backup-simplify]: Simplify (* 1 1) into 1 11.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.548 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.548 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.548 * [taylor]: Taking taylor expansion of 1 in U 11.548 * [backup-simplify]: Simplify 1 into 1 11.548 * [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))) 11.548 * [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))) 11.549 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.549 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.549 * [backup-simplify]: Simplify (+ 0) into 0 11.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.551 * [backup-simplify]: Simplify (- 0) into 0 11.552 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.553 * [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 11.554 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.557 * [backup-simplify]: Simplify (+ 0 0) into 0 11.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 11.557 * [taylor]: Taking taylor expansion of 1/2 in J 11.557 * [backup-simplify]: Simplify 1/2 into 1/2 11.557 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 11.557 * [taylor]: Taking taylor expansion of J in J 11.557 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify 1 into 1 11.557 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.557 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.557 * [taylor]: Taking taylor expansion of 1/2 in J 11.557 * [backup-simplify]: Simplify 1/2 into 1/2 11.557 * [taylor]: Taking taylor expansion of K in J 11.557 * [backup-simplify]: Simplify K into K 11.557 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.557 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.558 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.558 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.558 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.558 * [backup-simplify]: Simplify (- 0) into 0 11.558 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.558 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 11.559 * [taylor]: Taking taylor expansion of 0 in J 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [taylor]: Taking taylor expansion of 0 in K 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 11.559 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 11.559 * [taylor]: Taking taylor expansion of 1/2 in K 11.559 * [backup-simplify]: Simplify 1/2 into 1/2 11.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.559 * [taylor]: Taking taylor expansion of 1/2 in K 11.559 * [backup-simplify]: Simplify 1/2 into 1/2 11.559 * [taylor]: Taking taylor expansion of K in K 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.560 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.560 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.560 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.560 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.564 * [backup-simplify]: Simplify (- 0) into 0 11.564 * [backup-simplify]: Simplify (+ 0 0) into 0 11.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.567 * [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 11.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.568 * [backup-simplify]: Simplify (+ 0 1) into 1 11.569 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 11.569 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 11.569 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.569 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.569 * [taylor]: Taking taylor expansion of 1/2 in J 11.569 * [backup-simplify]: Simplify 1/2 into 1/2 11.569 * [taylor]: Taking taylor expansion of K in J 11.569 * [backup-simplify]: Simplify K into K 11.569 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.569 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.570 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.570 * [taylor]: Taking taylor expansion of J in J 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.570 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.570 * [backup-simplify]: Simplify (- 0) into 0 11.570 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.570 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.571 * [backup-simplify]: Simplify (+ 0) into 0 11.571 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.571 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.573 * [backup-simplify]: Simplify (- 0) into 0 11.573 * [backup-simplify]: Simplify (+ 0 0) into 0 11.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.575 * [taylor]: Taking taylor expansion of 0 in K 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [taylor]: Taking taylor expansion of 0 in K 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify (+ 0) into 0 11.576 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.576 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.577 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.577 * [backup-simplify]: Simplify (- 0) into 0 11.578 * [backup-simplify]: Simplify (+ 0 0) into 0 11.578 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.579 * [taylor]: Taking taylor expansion of 0 in K 11.579 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.579 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.580 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.581 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.583 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.584 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.584 * [backup-simplify]: Simplify (- 0) into 0 11.585 * [backup-simplify]: Simplify (+ 0 0) into 0 11.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 11.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.589 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.590 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.590 * [backup-simplify]: Simplify (+ 0 0) into 0 11.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 11.591 * [taylor]: Taking taylor expansion of 0 in J 11.591 * [backup-simplify]: Simplify 0 into 0 11.591 * [taylor]: Taking taylor expansion of 0 in K 11.591 * [backup-simplify]: Simplify 0 into 0 11.591 * [backup-simplify]: Simplify 0 into 0 11.591 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.591 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.591 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 11.591 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.592 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.592 * [taylor]: Taking taylor expansion of 1 in K 11.592 * [backup-simplify]: Simplify 1 into 1 11.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.592 * [taylor]: Taking taylor expansion of 1/4 in K 11.592 * [backup-simplify]: Simplify 1/4 into 1/4 11.592 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.592 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.592 * [taylor]: Taking taylor expansion of J in K 11.592 * [backup-simplify]: Simplify J into J 11.592 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.592 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.592 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.592 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.592 * [taylor]: Taking taylor expansion of -1/2 in K 11.592 * [backup-simplify]: Simplify -1/2 into -1/2 11.592 * [taylor]: Taking taylor expansion of K in K 11.592 * [backup-simplify]: Simplify 0 into 0 11.592 * [backup-simplify]: Simplify 1 into 1 11.592 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.593 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.593 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.593 * [taylor]: Taking taylor expansion of U in K 11.593 * [backup-simplify]: Simplify U into U 11.593 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.593 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.593 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.593 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.593 * [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))) 11.593 * [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)))) 11.594 * [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))))) 11.594 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.594 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.595 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.595 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.595 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.596 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.597 * [backup-simplify]: Simplify (+ 0 0) into 0 11.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.597 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.597 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.597 * [taylor]: Taking taylor expansion of 1 in J 11.597 * [backup-simplify]: Simplify 1 into 1 11.597 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.597 * [taylor]: Taking taylor expansion of 1/4 in J 11.597 * [backup-simplify]: Simplify 1/4 into 1/4 11.597 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.597 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.597 * [taylor]: Taking taylor expansion of J in J 11.598 * [backup-simplify]: Simplify 0 into 0 11.598 * [backup-simplify]: Simplify 1 into 1 11.598 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.598 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.598 * [taylor]: Taking taylor expansion of -1/2 in J 11.598 * [backup-simplify]: Simplify -1/2 into -1/2 11.598 * [taylor]: Taking taylor expansion of K in J 11.598 * [backup-simplify]: Simplify K into K 11.598 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.598 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.598 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.598 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.598 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.599 * [backup-simplify]: Simplify (- 0) into 0 11.599 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.599 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.599 * [taylor]: Taking taylor expansion of U in J 11.599 * [backup-simplify]: Simplify U into U 11.599 * [backup-simplify]: Simplify (* 1 1) into 1 11.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.599 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.599 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.600 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.600 * [backup-simplify]: Simplify (+ 1 0) into 1 11.600 * [backup-simplify]: Simplify (sqrt 1) into 1 11.601 * [backup-simplify]: Simplify (+ 0 0) into 0 11.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.602 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.602 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.602 * [taylor]: Taking taylor expansion of 1 in U 11.602 * [backup-simplify]: Simplify 1 into 1 11.602 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.602 * [taylor]: Taking taylor expansion of 1/4 in U 11.602 * [backup-simplify]: Simplify 1/4 into 1/4 11.602 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.602 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.602 * [taylor]: Taking taylor expansion of J in U 11.602 * [backup-simplify]: Simplify J into J 11.602 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.602 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.602 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.602 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.602 * [taylor]: Taking taylor expansion of -1/2 in U 11.602 * [backup-simplify]: Simplify -1/2 into -1/2 11.602 * [taylor]: Taking taylor expansion of K in U 11.602 * [backup-simplify]: Simplify K into K 11.602 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.602 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.603 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.603 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.603 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.603 * [backup-simplify]: Simplify (- 0) into 0 11.603 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.603 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.603 * [taylor]: Taking taylor expansion of U in U 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify 1 into 1 11.603 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.604 * [backup-simplify]: Simplify (* 1 1) into 1 11.604 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.604 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.605 * [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))) 11.605 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.605 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.605 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.607 * [backup-simplify]: Simplify (+ 0) into 0 11.607 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.607 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.609 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.609 * [backup-simplify]: Simplify (- 0) into 0 11.609 * [backup-simplify]: Simplify (+ 0 0) into 0 11.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.610 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.610 * [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 11.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.612 * [backup-simplify]: Simplify (+ 0 0) into 0 11.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.612 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.612 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.612 * [taylor]: Taking taylor expansion of 1 in U 11.612 * [backup-simplify]: Simplify 1 into 1 11.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.612 * [taylor]: Taking taylor expansion of 1/4 in U 11.612 * [backup-simplify]: Simplify 1/4 into 1/4 11.612 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.612 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.612 * [taylor]: Taking taylor expansion of J in U 11.612 * [backup-simplify]: Simplify J into J 11.612 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.612 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.612 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.612 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.612 * [taylor]: Taking taylor expansion of -1/2 in U 11.612 * [backup-simplify]: Simplify -1/2 into -1/2 11.612 * [taylor]: Taking taylor expansion of K in U 11.612 * [backup-simplify]: Simplify K into K 11.612 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.612 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.613 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.613 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.613 * [backup-simplify]: Simplify (- 0) into 0 11.613 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.613 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.613 * [taylor]: Taking taylor expansion of U in U 11.613 * [backup-simplify]: Simplify 0 into 0 11.613 * [backup-simplify]: Simplify 1 into 1 11.613 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.614 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.614 * [backup-simplify]: Simplify (* 1 1) into 1 11.614 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.614 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.614 * [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))) 11.615 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.615 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.616 * [backup-simplify]: Simplify (+ 0) into 0 11.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.618 * [backup-simplify]: Simplify (- 0) into 0 11.619 * [backup-simplify]: Simplify (+ 0 0) into 0 11.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.619 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.620 * [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 11.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.621 * [backup-simplify]: Simplify (+ 0 0) into 0 11.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.621 * [taylor]: Taking taylor expansion of 1/2 in J 11.621 * [backup-simplify]: Simplify 1/2 into 1/2 11.621 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.621 * [taylor]: Taking taylor expansion of J in J 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 1 into 1 11.621 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.621 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.621 * [taylor]: Taking taylor expansion of -1/2 in J 11.621 * [backup-simplify]: Simplify -1/2 into -1/2 11.621 * [taylor]: Taking taylor expansion of K in J 11.622 * [backup-simplify]: Simplify K into K 11.622 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.622 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.622 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.622 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.622 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.622 * [backup-simplify]: Simplify (- 0) into 0 11.622 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.622 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.623 * [taylor]: Taking taylor expansion of 0 in J 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [taylor]: Taking taylor expansion of 0 in K 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.623 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 11.623 * [taylor]: Taking taylor expansion of 1/2 in K 11.623 * [backup-simplify]: Simplify 1/2 into 1/2 11.623 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.623 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.623 * [taylor]: Taking taylor expansion of -1/2 in K 11.623 * [backup-simplify]: Simplify -1/2 into -1/2 11.623 * [taylor]: Taking taylor expansion of K in K 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify 1 into 1 11.623 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.624 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.624 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.624 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.629 * [backup-simplify]: Simplify (- 0) into 0 11.629 * [backup-simplify]: Simplify (+ 0 0) into 0 11.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.630 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.631 * [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 11.632 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.632 * [backup-simplify]: Simplify (+ 1 0) into 1 11.633 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.633 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.633 * [taylor]: Taking taylor expansion of -1/2 in J 11.633 * [backup-simplify]: Simplify -1/2 into -1/2 11.633 * [taylor]: Taking taylor expansion of K in J 11.633 * [backup-simplify]: Simplify K into K 11.633 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.633 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.634 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.634 * [taylor]: Taking taylor expansion of J in J 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.634 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.634 * [backup-simplify]: Simplify (- 0) into 0 11.635 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.635 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.635 * [backup-simplify]: Simplify (+ 0) into 0 11.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.636 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.637 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.637 * [backup-simplify]: Simplify (- 0) into 0 11.638 * [backup-simplify]: Simplify (+ 0 0) into 0 11.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.639 * [taylor]: Taking taylor expansion of 0 in K 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [taylor]: Taking taylor expansion of 0 in K 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify (+ 0) into 0 11.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.642 * [backup-simplify]: Simplify (- 0) into 0 11.642 * [backup-simplify]: Simplify (+ 0 0) into 0 11.642 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.643 * [taylor]: Taking taylor expansion of 0 in K 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.643 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.646 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.650 * [backup-simplify]: Simplify (- 0) into 0 11.650 * [backup-simplify]: Simplify (+ 0 0) into 0 11.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 11.651 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.651 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.652 * [backup-simplify]: Simplify (+ 0 0) into 0 11.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 11.653 * [taylor]: Taking taylor expansion of 0 in J 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [taylor]: Taking taylor expansion of 0 in K 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.653 * * * [progress]: simplifying candidates 11.653 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 11.653 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 23 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 11.654 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 11.654 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 46 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 11.655 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 11.655 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 63 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 11.656 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 11.656 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 80 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 11.657 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 11.657 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 11.658 * [simplify]: Simplifying: (log (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt 1) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt 1) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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)))))) 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))) 11.660 * * [simplify]: iteration 0: 92 enodes 11.685 * * [simplify]: iteration 1: 178 enodes 11.760 * * [simplify]: iteration 2: 439 enodes 12.024 * * [simplify]: iteration 3: 1614 enodes 12.719 * * [simplify]: iteration complete: 5004 enodes 12.719 * * [simplify]: Extracting #0: cost 35 inf + 0 12.720 * * [simplify]: Extracting #1: cost 147 inf + 3 12.721 * * [simplify]: Extracting #2: cost 566 inf + 643 12.728 * * [simplify]: Extracting #3: cost 1433 inf + 5253 12.743 * * [simplify]: Extracting #4: cost 1783 inf + 26029 12.773 * * [simplify]: Extracting #5: cost 1331 inf + 101596 12.855 * * [simplify]: Extracting #6: cost 687 inf + 295217 12.947 * * [simplify]: Extracting #7: cost 130 inf + 517816 13.069 * * [simplify]: Extracting #8: cost 10 inf + 556881 13.219 * * [simplify]: Extracting #9: cost 0 inf + 559024 13.404 * * [simplify]: Extracting #10: cost 0 inf + 558864 13.567 * [simplify]: Simplified to: (log (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (exp (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (* (cbrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (sqrt (sqrt (+ 1 (* (/ U 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J))))))) 1 (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1))) (sqrt (sqrt (+ 1 (- (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (sqrt (sqrt (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (sqrt (sqrt (- 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (sqrt (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 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(/ K 2))) J))))) (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) (sqrt (+ 1 (- (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (sqrt (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (sqrt (- 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1/2 (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (sqrt (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (real->posit16 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) 1 (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (+ (- (log J)) (log U))))) (exp (+ (* 1/4 (log (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))))) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) 13.582 * * * [progress]: adding candidates to table 14.196 * * [progress]: iteration 4 / 4 14.196 * * * [progress]: picking best candidate 14.261 * * * * [pick]: Picked # 14.261 * * * [progress]: localizing error 14.324 * * * [progress]: generating rewritten candidates 14.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 14.798 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 14.888 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 14.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 14.893 * * * [progress]: generating series expansions 14.893 * * * * [progress]: [ 1 / 4 ] generating series at (2) 14.894 * [backup-simplify]: Simplify (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 14.894 * [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 14.894 * [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 14.894 * [taylor]: Taking taylor expansion of -2 in U 14.894 * [backup-simplify]: Simplify -2 into -2 14.894 * [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 14.894 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.894 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.894 * [taylor]: Taking taylor expansion of 1/2 in U 14.894 * [backup-simplify]: Simplify 1/2 into 1/2 14.894 * [taylor]: Taking taylor expansion of K in U 14.894 * [backup-simplify]: Simplify K into K 14.894 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.894 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.894 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.894 * [taylor]: Taking taylor expansion of J in U 14.894 * [backup-simplify]: Simplify J into J 14.894 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 14.894 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 14.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 14.894 * [taylor]: Taking taylor expansion of 1/4 in U 14.894 * [backup-simplify]: Simplify 1/4 into 1/4 14.894 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 14.895 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.895 * [taylor]: Taking taylor expansion of U in U 14.895 * [backup-simplify]: Simplify 0 into 0 14.895 * [backup-simplify]: Simplify 1 into 1 14.895 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 14.895 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 14.895 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.895 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.895 * [taylor]: Taking taylor expansion of 1/2 in U 14.895 * [backup-simplify]: Simplify 1/2 into 1/2 14.895 * [taylor]: Taking taylor expansion of K in U 14.895 * [backup-simplify]: Simplify K into K 14.895 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.895 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.895 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.895 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.895 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.896 * [backup-simplify]: Simplify (- 0) into 0 14.896 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.896 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.896 * [taylor]: Taking taylor expansion of J in U 14.896 * [backup-simplify]: Simplify J into J 14.896 * [backup-simplify]: Simplify (* 1 1) into 1 14.896 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 14.896 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.897 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 14.897 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 14.897 * [taylor]: Taking taylor expansion of 1 in U 14.897 * [backup-simplify]: Simplify 1 into 1 14.897 * [backup-simplify]: Simplify (+ 0 1) into 1 14.898 * [backup-simplify]: Simplify (sqrt 1) into 1 14.898 * [backup-simplify]: Simplify (+ 0 0) into 0 14.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.899 * [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 14.899 * [taylor]: Taking taylor expansion of -2 in K 14.899 * [backup-simplify]: Simplify -2 into -2 14.899 * [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 14.899 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.899 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.899 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.899 * [taylor]: Taking taylor expansion of 1/2 in K 14.899 * [backup-simplify]: Simplify 1/2 into 1/2 14.899 * [taylor]: Taking taylor expansion of K in K 14.899 * [backup-simplify]: Simplify 0 into 0 14.899 * [backup-simplify]: Simplify 1 into 1 14.899 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.900 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.900 * [taylor]: Taking taylor expansion of J in K 14.900 * [backup-simplify]: Simplify J into J 14.900 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 14.900 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 14.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 14.900 * [taylor]: Taking taylor expansion of 1/4 in K 14.900 * [backup-simplify]: Simplify 1/4 into 1/4 14.900 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 14.900 * [taylor]: Taking taylor expansion of (pow U 2) in K 14.900 * [taylor]: Taking taylor expansion of U in K 14.900 * [backup-simplify]: Simplify U into U 14.900 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 14.900 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 14.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.900 * [taylor]: Taking taylor expansion of 1/2 in K 14.900 * [backup-simplify]: Simplify 1/2 into 1/2 14.900 * [taylor]: Taking taylor expansion of K in K 14.900 * [backup-simplify]: Simplify 0 into 0 14.900 * [backup-simplify]: Simplify 1 into 1 14.901 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.901 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.901 * [taylor]: Taking taylor expansion of (pow J 2) in K 14.901 * [taylor]: Taking taylor expansion of J in K 14.901 * [backup-simplify]: Simplify J into J 14.901 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.902 * [backup-simplify]: Simplify (* 1 1) into 1 14.902 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.902 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 14.902 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 14.902 * [taylor]: Taking taylor expansion of 1 in K 14.902 * [backup-simplify]: Simplify 1 into 1 14.902 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 14.902 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 14.903 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 14.903 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.903 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.905 * [backup-simplify]: Simplify (+ 0) into 0 14.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 14.906 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 14.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 14.907 * [backup-simplify]: Simplify (+ 0 0) into 0 14.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 14.907 * [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 14.907 * [taylor]: Taking taylor expansion of -2 in J 14.908 * [backup-simplify]: Simplify -2 into -2 14.908 * [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 14.908 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.908 * [taylor]: Taking taylor expansion of 1/2 in J 14.908 * [backup-simplify]: Simplify 1/2 into 1/2 14.908 * [taylor]: Taking taylor expansion of K in J 14.908 * [backup-simplify]: Simplify K into K 14.908 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.908 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.908 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.908 * [taylor]: Taking taylor expansion of J in J 14.908 * [backup-simplify]: Simplify 0 into 0 14.908 * [backup-simplify]: Simplify 1 into 1 14.908 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 14.908 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 14.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 14.908 * [taylor]: Taking taylor expansion of 1/4 in J 14.908 * [backup-simplify]: Simplify 1/4 into 1/4 14.908 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 14.908 * [taylor]: Taking taylor expansion of (pow U 2) in J 14.908 * [taylor]: Taking taylor expansion of U in J 14.908 * [backup-simplify]: Simplify U into U 14.908 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 14.908 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 14.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.908 * [taylor]: Taking taylor expansion of 1/2 in J 14.908 * [backup-simplify]: Simplify 1/2 into 1/2 14.908 * [taylor]: Taking taylor expansion of K in J 14.908 * [backup-simplify]: Simplify K into K 14.908 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.909 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.909 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.909 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.909 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.909 * [backup-simplify]: Simplify (- 0) into 0 14.909 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.909 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.909 * [taylor]: Taking taylor expansion of J in J 14.909 * [backup-simplify]: Simplify 0 into 0 14.909 * [backup-simplify]: Simplify 1 into 1 14.909 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.910 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 14.910 * [backup-simplify]: Simplify (* 1 1) into 1 14.910 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 14.910 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 14.910 * [taylor]: Taking taylor expansion of 1 in J 14.910 * [backup-simplify]: Simplify 1 into 1 14.910 * [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))) 14.911 * [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))) 14.911 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.911 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.912 * [backup-simplify]: Simplify (+ 0) into 0 14.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.914 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.914 * [backup-simplify]: Simplify (- 0) into 0 14.914 * [backup-simplify]: Simplify (+ 0 0) into 0 14.915 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 14.915 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 14.915 * [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 14.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 14.916 * [backup-simplify]: Simplify (+ 0 0) into 0 14.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 14.917 * [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 14.917 * [taylor]: Taking taylor expansion of -2 in J 14.917 * [backup-simplify]: Simplify -2 into -2 14.917 * [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 14.917 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.917 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.917 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.917 * [taylor]: Taking taylor expansion of 1/2 in J 14.917 * [backup-simplify]: Simplify 1/2 into 1/2 14.917 * [taylor]: Taking taylor expansion of K in J 14.917 * [backup-simplify]: Simplify K into K 14.917 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.917 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.917 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.917 * [taylor]: Taking taylor expansion of J in J 14.917 * [backup-simplify]: Simplify 0 into 0 14.917 * [backup-simplify]: Simplify 1 into 1 14.917 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 14.917 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 14.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 14.917 * [taylor]: Taking taylor expansion of 1/4 in J 14.917 * [backup-simplify]: Simplify 1/4 into 1/4 14.917 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 14.917 * [taylor]: Taking taylor expansion of (pow U 2) in J 14.917 * [taylor]: Taking taylor expansion of U in J 14.917 * [backup-simplify]: Simplify U into U 14.917 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 14.917 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 14.917 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.917 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.917 * [taylor]: Taking taylor expansion of 1/2 in J 14.917 * [backup-simplify]: Simplify 1/2 into 1/2 14.917 * [taylor]: Taking taylor expansion of K in J 14.917 * [backup-simplify]: Simplify K into K 14.918 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.918 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.918 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.918 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.918 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.918 * [backup-simplify]: Simplify (- 0) into 0 14.918 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.918 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.918 * [taylor]: Taking taylor expansion of J in J 14.918 * [backup-simplify]: Simplify 0 into 0 14.918 * [backup-simplify]: Simplify 1 into 1 14.918 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.918 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 14.919 * [backup-simplify]: Simplify (* 1 1) into 1 14.919 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 14.919 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 14.919 * [taylor]: Taking taylor expansion of 1 in J 14.919 * [backup-simplify]: Simplify 1 into 1 14.919 * [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))) 14.919 * [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))) 14.919 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.919 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.920 * [backup-simplify]: Simplify (+ 0) into 0 14.920 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.921 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.921 * [backup-simplify]: Simplify (- 0) into 0 14.922 * [backup-simplify]: Simplify (+ 0 0) into 0 14.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 14.922 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 14.922 * [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 14.923 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 14.923 * [backup-simplify]: Simplify (+ 0 0) into 0 14.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 14.923 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.923 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.924 * [backup-simplify]: Simplify (- 0) into 0 14.924 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.924 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.924 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 14.924 * [backup-simplify]: Simplify (* -2 0) into 0 14.924 * [taylor]: Taking taylor expansion of 0 in K 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [taylor]: Taking taylor expansion of 0 in U 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify 0 into 0 14.925 * [backup-simplify]: Simplify (+ 0) into 0 14.925 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.927 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.927 * [backup-simplify]: Simplify (- 0) into 0 14.927 * [backup-simplify]: Simplify (+ 0 0) into 0 14.927 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.928 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 14.928 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 14.928 * [taylor]: Taking taylor expansion of (- U) in K 14.928 * [taylor]: Taking taylor expansion of U in K 14.928 * [backup-simplify]: Simplify U into U 14.928 * [backup-simplify]: Simplify (- U) into (- U) 14.928 * [taylor]: Taking taylor expansion of (- U) in U 14.928 * [taylor]: Taking taylor expansion of U in U 14.928 * [backup-simplify]: Simplify 0 into 0 14.928 * [backup-simplify]: Simplify 1 into 1 14.929 * [backup-simplify]: Simplify (- 0) into 0 14.929 * [backup-simplify]: Simplify 0 into 0 14.929 * [taylor]: Taking taylor expansion of 0 in U 14.929 * [backup-simplify]: Simplify 0 into 0 14.929 * [backup-simplify]: Simplify 0 into 0 14.929 * [backup-simplify]: Simplify 0 into 0 14.929 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 14.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.931 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.932 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.932 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.932 * [backup-simplify]: Simplify (- 0) into 0 14.933 * [backup-simplify]: Simplify (+ 0 0) into 0 14.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 14.933 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 14.934 * [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 14.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 14.935 * [backup-simplify]: Simplify (+ 0 1) into 1 14.935 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 14.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.936 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.937 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.938 * [backup-simplify]: Simplify (- 0) into 0 14.938 * [backup-simplify]: Simplify (+ 0 0) into 0 14.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.938 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 14.939 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 14.939 * [taylor]: Taking taylor expansion of 0 in K 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [taylor]: Taking taylor expansion of 0 in U 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify (- 0) into 0 14.939 * [taylor]: Taking taylor expansion of 0 in U 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify 0 into 0 14.940 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 14.940 * [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 14.940 * [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 14.940 * [taylor]: Taking taylor expansion of -2 in U 14.940 * [backup-simplify]: Simplify -2 into -2 14.940 * [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 14.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 14.940 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 14.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 14.940 * [taylor]: Taking taylor expansion of 1/4 in U 14.940 * [backup-simplify]: Simplify 1/4 into 1/4 14.940 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 14.940 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.940 * [taylor]: Taking taylor expansion of J in U 14.940 * [backup-simplify]: Simplify J into J 14.940 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 14.940 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.940 * [taylor]: Taking taylor expansion of U in U 14.940 * [backup-simplify]: Simplify 0 into 0 14.940 * [backup-simplify]: Simplify 1 into 1 14.940 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 14.940 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.940 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.940 * [taylor]: Taking taylor expansion of 1/2 in U 14.940 * [backup-simplify]: Simplify 1/2 into 1/2 14.940 * [taylor]: Taking taylor expansion of K in U 14.940 * [backup-simplify]: Simplify K into K 14.940 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.940 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.940 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.940 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.941 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.941 * [backup-simplify]: Simplify (- 0) into 0 14.941 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.941 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.941 * [backup-simplify]: Simplify (* 1 1) into 1 14.941 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.941 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 14.941 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 14.941 * [taylor]: Taking taylor expansion of 1 in U 14.941 * [backup-simplify]: Simplify 1 into 1 14.941 * [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))) 14.942 * [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))) 14.942 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.942 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.942 * [backup-simplify]: Simplify (+ 0) into 0 14.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.944 * [backup-simplify]: Simplify (- 0) into 0 14.944 * [backup-simplify]: Simplify (+ 0 0) into 0 14.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 14.945 * [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 14.945 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 14.946 * [backup-simplify]: Simplify (+ 0 0) into 0 14.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 14.946 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 14.946 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.946 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.946 * [taylor]: Taking taylor expansion of 1/2 in U 14.946 * [backup-simplify]: Simplify 1/2 into 1/2 14.946 * [taylor]: Taking taylor expansion of K in U 14.946 * [backup-simplify]: Simplify K into K 14.946 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.946 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.946 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.946 * [taylor]: Taking taylor expansion of J in U 14.946 * [backup-simplify]: Simplify J into J 14.946 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.946 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.946 * [backup-simplify]: Simplify (- 0) into 0 14.947 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.947 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 14.947 * [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 14.947 * [taylor]: Taking taylor expansion of -2 in K 14.947 * [backup-simplify]: Simplify -2 into -2 14.947 * [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 14.947 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 14.947 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 14.947 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 14.947 * [taylor]: Taking taylor expansion of 1/4 in K 14.947 * [backup-simplify]: Simplify 1/4 into 1/4 14.947 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 14.947 * [taylor]: Taking taylor expansion of (pow J 2) in K 14.947 * [taylor]: Taking taylor expansion of J in K 14.947 * [backup-simplify]: Simplify J into J 14.947 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 14.947 * [taylor]: Taking taylor expansion of (pow U 2) in K 14.947 * [taylor]: Taking taylor expansion of U in K 14.947 * [backup-simplify]: Simplify U into U 14.947 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 14.947 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.947 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.947 * [taylor]: Taking taylor expansion of 1/2 in K 14.947 * [backup-simplify]: Simplify 1/2 into 1/2 14.947 * [taylor]: Taking taylor expansion of K in K 14.947 * [backup-simplify]: Simplify 0 into 0 14.947 * [backup-simplify]: Simplify 1 into 1 14.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.947 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.947 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.947 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.947 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.948 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 14.948 * [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))) 14.948 * [taylor]: Taking taylor expansion of 1 in K 14.948 * [backup-simplify]: Simplify 1 into 1 14.948 * [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)))) 14.948 * [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) 14.948 * [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)) 14.948 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.948 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 14.949 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 14.949 * [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 14.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 14.950 * [backup-simplify]: Simplify (+ 0 0) into 0 14.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 14.950 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 14.950 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.950 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.950 * [taylor]: Taking taylor expansion of 1/2 in K 14.950 * [backup-simplify]: Simplify 1/2 into 1/2 14.950 * [taylor]: Taking taylor expansion of K in K 14.950 * [backup-simplify]: Simplify 0 into 0 14.950 * [backup-simplify]: Simplify 1 into 1 14.951 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.951 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.951 * [taylor]: Taking taylor expansion of J in K 14.951 * [backup-simplify]: Simplify J into J 14.951 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 14.951 * [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 14.951 * [taylor]: Taking taylor expansion of -2 in J 14.951 * [backup-simplify]: Simplify -2 into -2 14.951 * [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 14.951 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 14.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 14.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 14.951 * [taylor]: Taking taylor expansion of 1/4 in J 14.951 * [backup-simplify]: Simplify 1/4 into 1/4 14.951 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 14.951 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.951 * [taylor]: Taking taylor expansion of J in J 14.951 * [backup-simplify]: Simplify 0 into 0 14.951 * [backup-simplify]: Simplify 1 into 1 14.951 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 14.951 * [taylor]: Taking taylor expansion of (pow U 2) in J 14.951 * [taylor]: Taking taylor expansion of U in J 14.951 * [backup-simplify]: Simplify U into U 14.951 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 14.951 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.951 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.951 * [taylor]: Taking taylor expansion of 1/2 in J 14.951 * [backup-simplify]: Simplify 1/2 into 1/2 14.951 * [taylor]: Taking taylor expansion of K in J 14.952 * [backup-simplify]: Simplify K into K 14.952 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.952 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.952 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.952 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.952 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.952 * [backup-simplify]: Simplify (- 0) into 0 14.952 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.953 * [backup-simplify]: Simplify (* 1 1) into 1 14.953 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.953 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.953 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 14.953 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 14.953 * [taylor]: Taking taylor expansion of 1 in J 14.953 * [backup-simplify]: Simplify 1 into 1 14.954 * [backup-simplify]: Simplify (+ 0 1) into 1 14.954 * [backup-simplify]: Simplify (sqrt 1) into 1 14.954 * [backup-simplify]: Simplify (+ 0 0) into 0 14.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.955 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 14.955 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.955 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.955 * [taylor]: Taking taylor expansion of 1/2 in J 14.955 * [backup-simplify]: Simplify 1/2 into 1/2 14.955 * [taylor]: Taking taylor expansion of K in J 14.955 * [backup-simplify]: Simplify K into K 14.955 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.956 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.956 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.956 * [taylor]: Taking taylor expansion of J in J 14.956 * [backup-simplify]: Simplify 0 into 0 14.956 * [backup-simplify]: Simplify 1 into 1 14.956 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.956 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.956 * [backup-simplify]: Simplify (- 0) into 0 14.956 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.956 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.956 * [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 14.957 * [taylor]: Taking taylor expansion of -2 in J 14.957 * [backup-simplify]: Simplify -2 into -2 14.957 * [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 14.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 14.957 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 14.957 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 14.957 * [taylor]: Taking taylor expansion of 1/4 in J 14.957 * [backup-simplify]: Simplify 1/4 into 1/4 14.957 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 14.957 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.957 * [taylor]: Taking taylor expansion of J in J 14.957 * [backup-simplify]: Simplify 0 into 0 14.957 * [backup-simplify]: Simplify 1 into 1 14.957 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 14.957 * [taylor]: Taking taylor expansion of (pow U 2) in J 14.957 * [taylor]: Taking taylor expansion of U in J 14.957 * [backup-simplify]: Simplify U into U 14.957 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 14.957 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.957 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.957 * [taylor]: Taking taylor expansion of 1/2 in J 14.957 * [backup-simplify]: Simplify 1/2 into 1/2 14.957 * [taylor]: Taking taylor expansion of K in J 14.957 * [backup-simplify]: Simplify K into K 14.957 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.957 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.957 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.957 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.958 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.958 * [backup-simplify]: Simplify (- 0) into 0 14.958 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.958 * [backup-simplify]: Simplify (* 1 1) into 1 14.958 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.959 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 14.959 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 14.959 * [taylor]: Taking taylor expansion of 1 in J 14.959 * [backup-simplify]: Simplify 1 into 1 14.959 * [backup-simplify]: Simplify (+ 0 1) into 1 14.960 * [backup-simplify]: Simplify (sqrt 1) into 1 14.960 * [backup-simplify]: Simplify (+ 0 0) into 0 14.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.961 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 14.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.961 * [taylor]: Taking taylor expansion of 1/2 in J 14.961 * [backup-simplify]: Simplify 1/2 into 1/2 14.961 * [taylor]: Taking taylor expansion of K in J 14.961 * [backup-simplify]: Simplify K into K 14.961 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.962 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.962 * [taylor]: Taking taylor expansion of J in J 14.962 * [backup-simplify]: Simplify 0 into 0 14.962 * [backup-simplify]: Simplify 1 into 1 14.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.962 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.962 * [backup-simplify]: Simplify (- 0) into 0 14.962 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.962 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.962 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 14.963 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 14.963 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 14.963 * [taylor]: Taking taylor expansion of -2 in K 14.963 * [backup-simplify]: Simplify -2 into -2 14.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.963 * [taylor]: Taking taylor expansion of 1/2 in K 14.963 * [backup-simplify]: Simplify 1/2 into 1/2 14.963 * [taylor]: Taking taylor expansion of K in K 14.963 * [backup-simplify]: Simplify 0 into 0 14.963 * [backup-simplify]: Simplify 1 into 1 14.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.963 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.963 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 14.963 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 14.963 * [taylor]: Taking taylor expansion of -2 in U 14.963 * [backup-simplify]: Simplify -2 into -2 14.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.964 * [taylor]: Taking taylor expansion of 1/2 in U 14.964 * [backup-simplify]: Simplify 1/2 into 1/2 14.964 * [taylor]: Taking taylor expansion of K in U 14.964 * [backup-simplify]: Simplify K into K 14.964 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.964 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.964 * [backup-simplify]: Simplify (+ 0) into 0 14.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.967 * [backup-simplify]: Simplify (- 0) into 0 14.967 * [backup-simplify]: Simplify (+ 0 0) into 0 14.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 14.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 14.969 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 14.969 * [taylor]: Taking taylor expansion of 0 in K 14.969 * [backup-simplify]: Simplify 0 into 0 14.969 * [taylor]: Taking taylor expansion of 0 in U 14.969 * [backup-simplify]: Simplify 0 into 0 14.969 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 14.969 * [taylor]: Taking taylor expansion of 0 in U 14.969 * [backup-simplify]: Simplify 0 into 0 14.970 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.970 * [backup-simplify]: Simplify (- 0) into 0 14.970 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.970 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 14.970 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 14.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.972 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.972 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.973 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.974 * [backup-simplify]: Simplify (- 0) into 0 14.974 * [backup-simplify]: Simplify (+ 0 0) into 0 14.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.976 * [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))) 14.976 * [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)))) 14.977 * [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))) 14.979 * [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))))) 14.979 * [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)))))) 14.979 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 14.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 14.979 * [taylor]: Taking taylor expansion of 1/4 in K 14.979 * [backup-simplify]: Simplify 1/4 into 1/4 14.979 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 14.979 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 14.979 * [taylor]: Taking taylor expansion of (pow U 2) in K 14.979 * [taylor]: Taking taylor expansion of U in K 14.979 * [backup-simplify]: Simplify U into U 14.979 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.980 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.980 * [taylor]: Taking taylor expansion of 1/2 in K 14.980 * [backup-simplify]: Simplify 1/2 into 1/2 14.980 * [taylor]: Taking taylor expansion of K in K 14.980 * [backup-simplify]: Simplify 0 into 0 14.980 * [backup-simplify]: Simplify 1 into 1 14.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.980 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.980 * [backup-simplify]: Simplify (* U U) into (pow U 2) 14.980 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 14.981 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 14.981 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 14.981 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 14.981 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 14.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 14.981 * [taylor]: Taking taylor expansion of 1/4 in U 14.981 * [backup-simplify]: Simplify 1/4 into 1/4 14.981 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 14.981 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 14.981 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.981 * [taylor]: Taking taylor expansion of U in U 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify 1 into 1 14.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.981 * [taylor]: Taking taylor expansion of 1/2 in U 14.981 * [backup-simplify]: Simplify 1/2 into 1/2 14.981 * [taylor]: Taking taylor expansion of K in U 14.981 * [backup-simplify]: Simplify K into K 14.981 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.982 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.982 * [backup-simplify]: Simplify (* 1 1) into 1 14.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.982 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.982 * [backup-simplify]: Simplify (- 0) into 0 14.983 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.983 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 14.983 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 14.983 * [backup-simplify]: Simplify (+ 0) into 0 14.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.985 * [backup-simplify]: Simplify (- 0) into 0 14.986 * [backup-simplify]: Simplify (+ 0 0) into 0 14.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 14.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 14.988 * [backup-simplify]: Simplify (- 0) into 0 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [taylor]: Taking taylor expansion of 0 in U 14.988 * [backup-simplify]: Simplify 0 into 0 14.989 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.989 * [taylor]: Taking taylor expansion of 0 in U 14.989 * [backup-simplify]: Simplify 0 into 0 14.989 * [backup-simplify]: Simplify 0 into 0 14.989 * [backup-simplify]: Simplify 0 into 0 14.990 * [backup-simplify]: Simplify (+ 0) into 0 14.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.990 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.992 * [backup-simplify]: Simplify (- 0) into 0 14.992 * [backup-simplify]: Simplify (+ 0 0) into 0 14.993 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 14.993 * [backup-simplify]: Simplify 0 into 0 14.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.995 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.998 * [backup-simplify]: Simplify (- 0) into 0 14.998 * [backup-simplify]: Simplify (+ 0 0) into 0 15.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.001 * [backup-simplify]: Simplify (+ 0) into 0 15.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.003 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.003 * [backup-simplify]: Simplify (- 0) into 0 15.004 * [backup-simplify]: Simplify (+ 0 0) into 0 15.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.004 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.004 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.005 * [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 15.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.006 * [backup-simplify]: Simplify (+ 0 0) into 0 15.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 15.008 * [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 15.009 * [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 15.009 * [taylor]: Taking taylor expansion of 0 in K 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [taylor]: Taking taylor expansion of 0 in U 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.009 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 15.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 15.010 * [backup-simplify]: Simplify (- 0) into 0 15.010 * [taylor]: Taking taylor expansion of 0 in U 15.010 * [backup-simplify]: Simplify 0 into 0 15.010 * [taylor]: Taking taylor expansion of 0 in U 15.010 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.012 * [taylor]: Taking taylor expansion of 0 in U 15.012 * [backup-simplify]: Simplify 0 into 0 15.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.015 * [backup-simplify]: Simplify (- 0) into 0 15.016 * [backup-simplify]: Simplify (+ 0 0) into 0 15.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 15.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 15.019 * [backup-simplify]: Simplify (- 0) into 0 15.019 * [backup-simplify]: Simplify 0 into 0 15.019 * [backup-simplify]: Simplify 0 into 0 15.019 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 15.020 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 15.020 * [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 15.020 * [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 15.020 * [taylor]: Taking taylor expansion of 2 in U 15.020 * [backup-simplify]: Simplify 2 into 2 15.020 * [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 15.020 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 15.020 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.020 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.020 * [taylor]: Taking taylor expansion of -1/2 in U 15.020 * [backup-simplify]: Simplify -1/2 into -1/2 15.020 * [taylor]: Taking taylor expansion of K in U 15.021 * [backup-simplify]: Simplify K into K 15.021 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.021 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.021 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.021 * [taylor]: Taking taylor expansion of J in U 15.021 * [backup-simplify]: Simplify J into J 15.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.021 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.021 * [backup-simplify]: Simplify (- 0) into 0 15.021 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.022 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.022 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.022 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.022 * [taylor]: Taking taylor expansion of 1 in U 15.022 * [backup-simplify]: Simplify 1 into 1 15.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.022 * [taylor]: Taking taylor expansion of 1/4 in U 15.022 * [backup-simplify]: Simplify 1/4 into 1/4 15.022 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.022 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.022 * [taylor]: Taking taylor expansion of J in U 15.022 * [backup-simplify]: Simplify J into J 15.022 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.022 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.022 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.022 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.022 * [taylor]: Taking taylor expansion of -1/2 in U 15.022 * [backup-simplify]: Simplify -1/2 into -1/2 15.022 * [taylor]: Taking taylor expansion of K in U 15.022 * [backup-simplify]: Simplify K into K 15.022 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.022 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.022 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.022 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.022 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.023 * [backup-simplify]: Simplify (- 0) into 0 15.023 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.023 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.023 * [taylor]: Taking taylor expansion of U in U 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 1 into 1 15.023 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.024 * [backup-simplify]: Simplify (* 1 1) into 1 15.024 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.024 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.024 * [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))) 15.024 * [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))) 15.025 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.025 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.026 * [backup-simplify]: Simplify (+ 0) into 0 15.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.028 * [backup-simplify]: Simplify (- 0) into 0 15.029 * [backup-simplify]: Simplify (+ 0 0) into 0 15.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.029 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.030 * [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 15.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.031 * [backup-simplify]: Simplify (+ 0 0) into 0 15.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.031 * [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 15.031 * [taylor]: Taking taylor expansion of 2 in K 15.031 * [backup-simplify]: Simplify 2 into 2 15.031 * [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 15.031 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 15.031 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.031 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.031 * [taylor]: Taking taylor expansion of -1/2 in K 15.031 * [backup-simplify]: Simplify -1/2 into -1/2 15.031 * [taylor]: Taking taylor expansion of K in K 15.031 * [backup-simplify]: Simplify 0 into 0 15.031 * [backup-simplify]: Simplify 1 into 1 15.032 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.032 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.032 * [taylor]: Taking taylor expansion of J in K 15.032 * [backup-simplify]: Simplify J into J 15.032 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.032 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.032 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.032 * [taylor]: Taking taylor expansion of 1 in K 15.032 * [backup-simplify]: Simplify 1 into 1 15.032 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.032 * [taylor]: Taking taylor expansion of 1/4 in K 15.032 * [backup-simplify]: Simplify 1/4 into 1/4 15.032 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.032 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.032 * [taylor]: Taking taylor expansion of J in K 15.032 * [backup-simplify]: Simplify J into J 15.032 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.033 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.033 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.033 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.033 * [taylor]: Taking taylor expansion of -1/2 in K 15.033 * [backup-simplify]: Simplify -1/2 into -1/2 15.033 * [taylor]: Taking taylor expansion of K in K 15.033 * [backup-simplify]: Simplify 0 into 0 15.033 * [backup-simplify]: Simplify 1 into 1 15.035 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.035 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.035 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.035 * [taylor]: Taking taylor expansion of U in K 15.035 * [backup-simplify]: Simplify U into U 15.035 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.036 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.036 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.036 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.036 * [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))) 15.036 * [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)))) 15.037 * [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))))) 15.037 * [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)))))) 15.037 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.037 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.038 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.038 * [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 15.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.039 * [backup-simplify]: Simplify (+ 0 0) into 0 15.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.039 * [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 15.039 * [taylor]: Taking taylor expansion of 2 in J 15.039 * [backup-simplify]: Simplify 2 into 2 15.039 * [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 15.039 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.039 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.039 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.039 * [taylor]: Taking taylor expansion of -1/2 in J 15.039 * [backup-simplify]: Simplify -1/2 into -1/2 15.039 * [taylor]: Taking taylor expansion of K in J 15.039 * [backup-simplify]: Simplify K into K 15.039 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.039 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.039 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.039 * [taylor]: Taking taylor expansion of J in J 15.039 * [backup-simplify]: Simplify 0 into 0 15.040 * [backup-simplify]: Simplify 1 into 1 15.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.040 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.040 * [backup-simplify]: Simplify (- 0) into 0 15.040 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.040 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.040 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.040 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.040 * [taylor]: Taking taylor expansion of 1 in J 15.040 * [backup-simplify]: Simplify 1 into 1 15.040 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.040 * [taylor]: Taking taylor expansion of 1/4 in J 15.040 * [backup-simplify]: Simplify 1/4 into 1/4 15.040 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.040 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.040 * [taylor]: Taking taylor expansion of J in J 15.040 * [backup-simplify]: Simplify 0 into 0 15.040 * [backup-simplify]: Simplify 1 into 1 15.040 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.040 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.040 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.040 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.040 * [taylor]: Taking taylor expansion of -1/2 in J 15.040 * [backup-simplify]: Simplify -1/2 into -1/2 15.040 * [taylor]: Taking taylor expansion of K in J 15.040 * [backup-simplify]: Simplify K into K 15.040 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.040 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.040 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.040 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.041 * [backup-simplify]: Simplify (- 0) into 0 15.041 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.041 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.041 * [taylor]: Taking taylor expansion of U in J 15.041 * [backup-simplify]: Simplify U into U 15.041 * [backup-simplify]: Simplify (* 1 1) into 1 15.041 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.041 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.041 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.041 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.042 * [backup-simplify]: Simplify (+ 1 0) into 1 15.042 * [backup-simplify]: Simplify (sqrt 1) into 1 15.042 * [backup-simplify]: Simplify (+ 0 0) into 0 15.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.043 * [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 15.043 * [taylor]: Taking taylor expansion of 2 in J 15.043 * [backup-simplify]: Simplify 2 into 2 15.043 * [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 15.043 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.043 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.043 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.043 * [taylor]: Taking taylor expansion of -1/2 in J 15.043 * [backup-simplify]: Simplify -1/2 into -1/2 15.043 * [taylor]: Taking taylor expansion of K in J 15.043 * [backup-simplify]: Simplify K into K 15.043 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.043 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.043 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.043 * [taylor]: Taking taylor expansion of J in J 15.043 * [backup-simplify]: Simplify 0 into 0 15.043 * [backup-simplify]: Simplify 1 into 1 15.043 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.043 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.043 * [backup-simplify]: Simplify (- 0) into 0 15.043 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.043 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.043 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.043 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.043 * [taylor]: Taking taylor expansion of 1 in J 15.043 * [backup-simplify]: Simplify 1 into 1 15.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.043 * [taylor]: Taking taylor expansion of 1/4 in J 15.043 * [backup-simplify]: Simplify 1/4 into 1/4 15.044 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.044 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.044 * [taylor]: Taking taylor expansion of J in J 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify 1 into 1 15.044 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.044 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.044 * [taylor]: Taking taylor expansion of -1/2 in J 15.044 * [backup-simplify]: Simplify -1/2 into -1/2 15.044 * [taylor]: Taking taylor expansion of K in J 15.044 * [backup-simplify]: Simplify K into K 15.044 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.044 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.044 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.044 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.044 * [backup-simplify]: Simplify (- 0) into 0 15.044 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.044 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.044 * [taylor]: Taking taylor expansion of U in J 15.044 * [backup-simplify]: Simplify U into U 15.044 * [backup-simplify]: Simplify (* 1 1) into 1 15.045 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.045 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.045 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.045 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.045 * [backup-simplify]: Simplify (+ 1 0) into 1 15.045 * [backup-simplify]: Simplify (sqrt 1) into 1 15.046 * [backup-simplify]: Simplify (+ 0 0) into 0 15.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.046 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.046 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 15.046 * [taylor]: Taking taylor expansion of 2 in K 15.046 * [backup-simplify]: Simplify 2 into 2 15.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.046 * [taylor]: Taking taylor expansion of -1/2 in K 15.046 * [backup-simplify]: Simplify -1/2 into -1/2 15.046 * [taylor]: Taking taylor expansion of K in K 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.047 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.047 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.047 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 15.047 * [taylor]: Taking taylor expansion of 2 in U 15.047 * [backup-simplify]: Simplify 2 into 2 15.047 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.047 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.047 * [taylor]: Taking taylor expansion of -1/2 in U 15.047 * [backup-simplify]: Simplify -1/2 into -1/2 15.047 * [taylor]: Taking taylor expansion of K in U 15.047 * [backup-simplify]: Simplify K into K 15.047 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.047 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.047 * [backup-simplify]: Simplify (+ 0) into 0 15.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.048 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.048 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.049 * [backup-simplify]: Simplify (- 0) into 0 15.049 * [backup-simplify]: Simplify (+ 0 0) into 0 15.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.050 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 15.050 * [taylor]: Taking taylor expansion of 0 in K 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [taylor]: Taking taylor expansion of 0 in U 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 15.050 * [taylor]: Taking taylor expansion of 0 in U 15.050 * [backup-simplify]: Simplify 0 into 0 15.050 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.051 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.051 * [backup-simplify]: Simplify (- 0) into 0 15.051 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.051 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.051 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.051 * [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))) 15.051 * [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)))) 15.052 * [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))) 15.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.055 * [backup-simplify]: Simplify (- 0) into 0 15.055 * [backup-simplify]: Simplify (+ 0 0) into 0 15.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.056 * [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)))) 15.057 * [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)))) 15.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 15.057 * [taylor]: Taking taylor expansion of 1/4 in K 15.057 * [backup-simplify]: Simplify 1/4 into 1/4 15.057 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 15.057 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 15.057 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.057 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.057 * [taylor]: Taking taylor expansion of -1/2 in K 15.057 * [backup-simplify]: Simplify -1/2 into -1/2 15.057 * [taylor]: Taking taylor expansion of K in K 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify 1 into 1 15.057 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.057 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.057 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.057 * [taylor]: Taking taylor expansion of U in K 15.057 * [backup-simplify]: Simplify U into U 15.057 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.057 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 15.057 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 15.058 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 15.058 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 15.058 * [taylor]: Taking taylor expansion of 1/4 in U 15.058 * [backup-simplify]: Simplify 1/4 into 1/4 15.058 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 15.058 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.058 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.058 * [taylor]: Taking taylor expansion of -1/2 in U 15.058 * [backup-simplify]: Simplify -1/2 into -1/2 15.058 * [taylor]: Taking taylor expansion of K in U 15.058 * [backup-simplify]: Simplify K into K 15.058 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.058 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.058 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.058 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.058 * [taylor]: Taking taylor expansion of U in U 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.058 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.058 * [backup-simplify]: Simplify (- 0) into 0 15.058 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.059 * [backup-simplify]: Simplify (* 1 1) into 1 15.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.059 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 15.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.059 * [backup-simplify]: Simplify (+ 0) into 0 15.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.061 * [backup-simplify]: Simplify (- 0) into 0 15.061 * [backup-simplify]: Simplify (+ 0 0) into 0 15.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.061 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.061 * [backup-simplify]: Simplify 0 into 0 15.061 * [taylor]: Taking taylor expansion of 0 in U 15.061 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.062 * [taylor]: Taking taylor expansion of 0 in U 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify (+ 0) into 0 15.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.064 * [backup-simplify]: Simplify (- 0) into 0 15.064 * [backup-simplify]: Simplify (+ 0 0) into 0 15.064 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 15.064 * [backup-simplify]: Simplify 0 into 0 15.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.065 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.065 * [backup-simplify]: Simplify (+ 0) into 0 15.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.066 * [backup-simplify]: Simplify (- 0) into 0 15.067 * [backup-simplify]: Simplify (+ 0 0) into 0 15.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.067 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.067 * [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 15.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.068 * [backup-simplify]: Simplify (+ 0 0) into 0 15.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 15.069 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.071 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.072 * [backup-simplify]: Simplify (- 0) into 0 15.072 * [backup-simplify]: Simplify (+ 0 0) into 0 15.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.075 * [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 15.076 * [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 15.076 * [taylor]: Taking taylor expansion of 0 in K 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [taylor]: Taking taylor expansion of 0 in U 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 15.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 15.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 15.077 * [taylor]: Taking taylor expansion of 0 in U 15.077 * [backup-simplify]: Simplify 0 into 0 15.078 * [taylor]: Taking taylor expansion of 0 in U 15.078 * [backup-simplify]: Simplify 0 into 0 15.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.079 * [taylor]: Taking taylor expansion of 0 in U 15.079 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.081 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.083 * [backup-simplify]: Simplify (- 0) into 0 15.084 * [backup-simplify]: Simplify (+ 0 0) into 0 15.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.085 * [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 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 15.085 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 15.085 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 15.086 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 15.086 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.086 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.086 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.086 * [taylor]: Taking taylor expansion of 1/4 in K 15.086 * [backup-simplify]: Simplify 1/4 into 1/4 15.086 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.086 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.086 * [taylor]: Taking taylor expansion of U in K 15.086 * [backup-simplify]: Simplify U into U 15.086 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.086 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.086 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.086 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.086 * [taylor]: Taking taylor expansion of 1/2 in K 15.086 * [backup-simplify]: Simplify 1/2 into 1/2 15.086 * [taylor]: Taking taylor expansion of K in K 15.086 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify 1 into 1 15.087 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.087 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.087 * [taylor]: Taking taylor expansion of J in K 15.088 * [backup-simplify]: Simplify J into J 15.088 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.088 * [backup-simplify]: Simplify (* 1 1) into 1 15.088 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.088 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.088 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.088 * [taylor]: Taking taylor expansion of 1 in K 15.088 * [backup-simplify]: Simplify 1 into 1 15.088 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.089 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.089 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.089 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.089 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.090 * [backup-simplify]: Simplify (+ 0) into 0 15.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.091 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.092 * [backup-simplify]: Simplify (+ 0 0) into 0 15.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.092 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.092 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.092 * [taylor]: Taking taylor expansion of 1/4 in J 15.092 * [backup-simplify]: Simplify 1/4 into 1/4 15.093 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.093 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.093 * [taylor]: Taking taylor expansion of U in J 15.093 * [backup-simplify]: Simplify U into U 15.093 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.093 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.093 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.093 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.093 * [taylor]: Taking taylor expansion of 1/2 in J 15.093 * [backup-simplify]: Simplify 1/2 into 1/2 15.093 * [taylor]: Taking taylor expansion of K in J 15.093 * [backup-simplify]: Simplify K into K 15.093 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.093 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.093 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.093 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.094 * [backup-simplify]: Simplify (- 0) into 0 15.094 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.094 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.094 * [taylor]: Taking taylor expansion of J in J 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [backup-simplify]: Simplify 1 into 1 15.094 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.094 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.094 * [backup-simplify]: Simplify (* 1 1) into 1 15.095 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.095 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.095 * [taylor]: Taking taylor expansion of 1 in J 15.095 * [backup-simplify]: Simplify 1 into 1 15.095 * [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))) 15.095 * [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))) 15.095 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.096 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.097 * [backup-simplify]: Simplify (+ 0) into 0 15.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.099 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.099 * [backup-simplify]: Simplify (- 0) into 0 15.100 * [backup-simplify]: Simplify (+ 0 0) into 0 15.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.100 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.101 * [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 15.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.102 * [backup-simplify]: Simplify (+ 0 0) into 0 15.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.102 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.102 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.102 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.102 * [taylor]: Taking taylor expansion of 1/4 in U 15.102 * [backup-simplify]: Simplify 1/4 into 1/4 15.102 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.102 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.102 * [taylor]: Taking taylor expansion of U in U 15.102 * [backup-simplify]: Simplify 0 into 0 15.102 * [backup-simplify]: Simplify 1 into 1 15.102 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.103 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.103 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.103 * [taylor]: Taking taylor expansion of 1/2 in U 15.103 * [backup-simplify]: Simplify 1/2 into 1/2 15.103 * [taylor]: Taking taylor expansion of K in U 15.103 * [backup-simplify]: Simplify K into K 15.103 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.103 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.103 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.103 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.103 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.103 * [backup-simplify]: Simplify (- 0) into 0 15.104 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.104 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.104 * [taylor]: Taking taylor expansion of J in U 15.104 * [backup-simplify]: Simplify J into J 15.104 * [backup-simplify]: Simplify (* 1 1) into 1 15.104 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.104 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.105 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.105 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.105 * [taylor]: Taking taylor expansion of 1 in U 15.105 * [backup-simplify]: Simplify 1 into 1 15.105 * [backup-simplify]: Simplify (+ 0 1) into 1 15.106 * [backup-simplify]: Simplify (sqrt 1) into 1 15.106 * [backup-simplify]: Simplify (+ 0 0) into 0 15.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.107 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.107 * [taylor]: Taking taylor expansion of 1/4 in U 15.107 * [backup-simplify]: Simplify 1/4 into 1/4 15.107 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.107 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.107 * [taylor]: Taking taylor expansion of U in U 15.107 * [backup-simplify]: Simplify 0 into 0 15.107 * [backup-simplify]: Simplify 1 into 1 15.107 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.107 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.107 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.108 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.108 * [taylor]: Taking taylor expansion of 1/2 in U 15.108 * [backup-simplify]: Simplify 1/2 into 1/2 15.108 * [taylor]: Taking taylor expansion of K in U 15.108 * [backup-simplify]: Simplify K into K 15.108 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.108 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.108 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.108 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.108 * [backup-simplify]: Simplify (- 0) into 0 15.108 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.109 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.109 * [taylor]: Taking taylor expansion of J in U 15.109 * [backup-simplify]: Simplify J into J 15.109 * [backup-simplify]: Simplify (* 1 1) into 1 15.109 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.109 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.109 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.110 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.110 * [taylor]: Taking taylor expansion of 1 in U 15.110 * [backup-simplify]: Simplify 1 into 1 15.110 * [backup-simplify]: Simplify (+ 0 1) into 1 15.110 * [backup-simplify]: Simplify (sqrt 1) into 1 15.111 * [backup-simplify]: Simplify (+ 0 0) into 0 15.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.112 * [taylor]: Taking taylor expansion of 1 in J 15.112 * [backup-simplify]: Simplify 1 into 1 15.112 * [taylor]: Taking taylor expansion of 0 in J 15.112 * [backup-simplify]: Simplify 0 into 0 15.112 * [taylor]: Taking taylor expansion of 1 in K 15.112 * [backup-simplify]: Simplify 1 into 1 15.112 * [backup-simplify]: Simplify 1 into 1 15.112 * [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))) 15.112 * [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)))) 15.114 * [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))) 15.114 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.114 * [taylor]: Taking taylor expansion of 1/8 in J 15.114 * [backup-simplify]: Simplify 1/8 into 1/8 15.114 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.114 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.114 * [taylor]: Taking taylor expansion of 1/2 in J 15.114 * [backup-simplify]: Simplify 1/2 into 1/2 15.114 * [taylor]: Taking taylor expansion of K in J 15.114 * [backup-simplify]: Simplify K into K 15.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.114 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.114 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.114 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.114 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.115 * [backup-simplify]: Simplify (- 0) into 0 15.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.115 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.115 * [taylor]: Taking taylor expansion of J in J 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.116 * [backup-simplify]: Simplify (* 1 1) into 1 15.116 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.116 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.117 * [backup-simplify]: Simplify (+ 0) into 0 15.117 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.119 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.120 * [backup-simplify]: Simplify (- 0) into 0 15.120 * [backup-simplify]: Simplify (+ 0 0) into 0 15.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.121 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.121 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.121 * [taylor]: Taking taylor expansion of 0 in K 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in K 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [taylor]: Taking taylor expansion of 0 in K 15.121 * [backup-simplify]: Simplify 0 into 0 15.122 * [backup-simplify]: Simplify 0 into 0 15.122 * [backup-simplify]: Simplify 0 into 0 15.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.122 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.123 * [backup-simplify]: Simplify (+ 0) into 0 15.123 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.125 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.125 * [backup-simplify]: Simplify (- 0) into 0 15.126 * [backup-simplify]: Simplify (+ 0 0) into 0 15.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.126 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.127 * [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 15.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.128 * [backup-simplify]: Simplify (+ 0 0) into 0 15.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.128 * [taylor]: Taking taylor expansion of 0 in J 15.129 * [backup-simplify]: Simplify 0 into 0 15.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.133 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.133 * [backup-simplify]: Simplify (- 0) into 0 15.134 * [backup-simplify]: Simplify (+ 0 0) into 0 15.134 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.135 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.136 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.136 * [taylor]: Taking taylor expansion of 0 in K 15.136 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify 0 into 0 15.136 * [taylor]: Taking taylor expansion of 0 in K 15.136 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify 1 into 1 15.136 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.136 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.136 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.136 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.136 * [taylor]: Taking taylor expansion of 1/4 in K 15.136 * [backup-simplify]: Simplify 1/4 into 1/4 15.136 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.137 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.137 * [taylor]: Taking taylor expansion of J in K 15.137 * [backup-simplify]: Simplify J into J 15.137 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.137 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.137 * [taylor]: Taking taylor expansion of U in K 15.137 * [backup-simplify]: Simplify U into U 15.137 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.137 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.137 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.137 * [taylor]: Taking taylor expansion of 1/2 in K 15.137 * [backup-simplify]: Simplify 1/2 into 1/2 15.137 * [taylor]: Taking taylor expansion of K in K 15.137 * [backup-simplify]: Simplify 0 into 0 15.137 * [backup-simplify]: Simplify 1 into 1 15.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.137 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.138 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.138 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.138 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.138 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.138 * [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))) 15.138 * [taylor]: Taking taylor expansion of 1 in K 15.138 * [backup-simplify]: Simplify 1 into 1 15.138 * [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)))) 15.139 * [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) 15.139 * [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)) 15.139 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.140 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.140 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.140 * [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 15.141 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.141 * [backup-simplify]: Simplify (+ 0 0) into 0 15.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.142 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.142 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.142 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.142 * [taylor]: Taking taylor expansion of 1/4 in J 15.142 * [backup-simplify]: Simplify 1/4 into 1/4 15.142 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.142 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.142 * [taylor]: Taking taylor expansion of J in J 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify 1 into 1 15.142 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.142 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.142 * [taylor]: Taking taylor expansion of U in J 15.142 * [backup-simplify]: Simplify U into U 15.142 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.142 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.142 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.143 * [taylor]: Taking taylor expansion of 1/2 in J 15.143 * [backup-simplify]: Simplify 1/2 into 1/2 15.143 * [taylor]: Taking taylor expansion of K in J 15.143 * [backup-simplify]: Simplify K into K 15.143 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.143 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.143 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.143 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.143 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.143 * [backup-simplify]: Simplify (- 0) into 0 15.144 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.144 * [backup-simplify]: Simplify (* 1 1) into 1 15.144 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.144 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.144 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.145 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.145 * [taylor]: Taking taylor expansion of 1 in J 15.145 * [backup-simplify]: Simplify 1 into 1 15.145 * [backup-simplify]: Simplify (+ 0 1) into 1 15.146 * [backup-simplify]: Simplify (sqrt 1) into 1 15.146 * [backup-simplify]: Simplify (+ 0 0) into 0 15.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.147 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.147 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.147 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.147 * [taylor]: Taking taylor expansion of 1/4 in U 15.147 * [backup-simplify]: Simplify 1/4 into 1/4 15.147 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.147 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.147 * [taylor]: Taking taylor expansion of J in U 15.147 * [backup-simplify]: Simplify J into J 15.147 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.147 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.147 * [taylor]: Taking taylor expansion of U in U 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [backup-simplify]: Simplify 1 into 1 15.147 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.147 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.147 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.147 * [taylor]: Taking taylor expansion of 1/2 in U 15.147 * [backup-simplify]: Simplify 1/2 into 1/2 15.147 * [taylor]: Taking taylor expansion of K in U 15.147 * [backup-simplify]: Simplify K into K 15.147 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.148 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.148 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.148 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.148 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.148 * [backup-simplify]: Simplify (- 0) into 0 15.148 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.149 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.149 * [backup-simplify]: Simplify (* 1 1) into 1 15.149 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.149 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.149 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.149 * [taylor]: Taking taylor expansion of 1 in U 15.150 * [backup-simplify]: Simplify 1 into 1 15.150 * [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))) 15.150 * [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))) 15.150 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.150 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.151 * [backup-simplify]: Simplify (+ 0) into 0 15.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.153 * [backup-simplify]: Simplify (- 0) into 0 15.154 * [backup-simplify]: Simplify (+ 0 0) into 0 15.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.155 * [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 15.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.156 * [backup-simplify]: Simplify (+ 0 0) into 0 15.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.156 * [taylor]: Taking taylor expansion of 1/4 in U 15.156 * [backup-simplify]: Simplify 1/4 into 1/4 15.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.156 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.156 * [taylor]: Taking taylor expansion of J in U 15.156 * [backup-simplify]: Simplify J into J 15.156 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.156 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.156 * [taylor]: Taking taylor expansion of U in U 15.156 * [backup-simplify]: Simplify 0 into 0 15.156 * [backup-simplify]: Simplify 1 into 1 15.156 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.156 * [taylor]: Taking taylor expansion of 1/2 in U 15.156 * [backup-simplify]: Simplify 1/2 into 1/2 15.156 * [taylor]: Taking taylor expansion of K in U 15.156 * [backup-simplify]: Simplify K into K 15.156 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.156 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.157 * [backup-simplify]: Simplify (- 0) into 0 15.157 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.157 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.157 * [backup-simplify]: Simplify (* 1 1) into 1 15.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.157 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.157 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.157 * [taylor]: Taking taylor expansion of 1 in U 15.157 * [backup-simplify]: Simplify 1 into 1 15.157 * [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))) 15.157 * [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))) 15.158 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.158 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.158 * [backup-simplify]: Simplify (+ 0) into 0 15.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.159 * [backup-simplify]: Simplify (- 0) into 0 15.160 * [backup-simplify]: Simplify (+ 0 0) into 0 15.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.161 * [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 15.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.161 * [backup-simplify]: Simplify (+ 0 0) into 0 15.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.161 * [taylor]: Taking taylor expansion of 1/2 in J 15.162 * [backup-simplify]: Simplify 1/2 into 1/2 15.162 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.162 * [taylor]: Taking taylor expansion of J in J 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify 1 into 1 15.162 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.162 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.162 * [taylor]: Taking taylor expansion of 1/2 in J 15.162 * [backup-simplify]: Simplify 1/2 into 1/2 15.162 * [taylor]: Taking taylor expansion of K in J 15.162 * [backup-simplify]: Simplify K into K 15.162 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.162 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.162 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.162 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.162 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.164 * [backup-simplify]: Simplify (- 0) into 0 15.164 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.164 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.164 * [taylor]: Taking taylor expansion of 0 in J 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [taylor]: Taking taylor expansion of 0 in K 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.164 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.164 * [taylor]: Taking taylor expansion of 1/2 in K 15.164 * [backup-simplify]: Simplify 1/2 into 1/2 15.164 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.164 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.164 * [taylor]: Taking taylor expansion of 1/2 in K 15.164 * [backup-simplify]: Simplify 1/2 into 1/2 15.164 * [taylor]: Taking taylor expansion of K in K 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify 1 into 1 15.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.165 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.165 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.165 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.165 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.167 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.167 * [backup-simplify]: Simplify (- 0) into 0 15.168 * [backup-simplify]: Simplify (+ 0 0) into 0 15.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.169 * [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 15.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.170 * [backup-simplify]: Simplify (+ 0 1) into 1 15.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.171 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.171 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.171 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.171 * [taylor]: Taking taylor expansion of 1/2 in J 15.171 * [backup-simplify]: Simplify 1/2 into 1/2 15.171 * [taylor]: Taking taylor expansion of K in J 15.171 * [backup-simplify]: Simplify K into K 15.171 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.171 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.171 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.171 * [taylor]: Taking taylor expansion of J in J 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 1 into 1 15.171 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.171 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.171 * [backup-simplify]: Simplify (- 0) into 0 15.171 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.171 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.172 * [backup-simplify]: Simplify (+ 0) into 0 15.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.173 * [backup-simplify]: Simplify (- 0) into 0 15.173 * [backup-simplify]: Simplify (+ 0 0) into 0 15.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.174 * [taylor]: Taking taylor expansion of 0 in K 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [taylor]: Taking taylor expansion of 0 in K 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify (+ 0) into 0 15.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.175 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.176 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.176 * [backup-simplify]: Simplify (- 0) into 0 15.176 * [backup-simplify]: Simplify (+ 0 0) into 0 15.176 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.177 * [taylor]: Taking taylor expansion of 0 in K 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.178 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.181 * [backup-simplify]: Simplify (- 0) into 0 15.181 * [backup-simplify]: Simplify (+ 0 0) into 0 15.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.184 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.185 * [backup-simplify]: Simplify (+ 0 0) into 0 15.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.185 * [taylor]: Taking taylor expansion of 0 in J 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [taylor]: Taking taylor expansion of 0 in K 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.186 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.186 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.186 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.186 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.186 * [taylor]: Taking taylor expansion of 1 in K 15.186 * [backup-simplify]: Simplify 1 into 1 15.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.186 * [taylor]: Taking taylor expansion of 1/4 in K 15.186 * [backup-simplify]: Simplify 1/4 into 1/4 15.186 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.186 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.186 * [taylor]: Taking taylor expansion of J in K 15.186 * [backup-simplify]: Simplify J into J 15.186 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.186 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.186 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.186 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.186 * [taylor]: Taking taylor expansion of -1/2 in K 15.186 * [backup-simplify]: Simplify -1/2 into -1/2 15.186 * [taylor]: Taking taylor expansion of K in K 15.186 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify 1 into 1 15.187 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.187 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.187 * [taylor]: Taking taylor expansion of U in K 15.187 * [backup-simplify]: Simplify U into U 15.187 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.187 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.187 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.187 * [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))) 15.187 * [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)))) 15.187 * [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))))) 15.188 * [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)))))) 15.188 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.188 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.188 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.188 * [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 15.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.189 * [backup-simplify]: Simplify (+ 0 0) into 0 15.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.189 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.189 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.189 * [taylor]: Taking taylor expansion of 1 in J 15.189 * [backup-simplify]: Simplify 1 into 1 15.189 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.189 * [taylor]: Taking taylor expansion of 1/4 in J 15.189 * [backup-simplify]: Simplify 1/4 into 1/4 15.189 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.189 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.189 * [taylor]: Taking taylor expansion of J in J 15.189 * [backup-simplify]: Simplify 0 into 0 15.189 * [backup-simplify]: Simplify 1 into 1 15.189 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.189 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.189 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.189 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.189 * [taylor]: Taking taylor expansion of -1/2 in J 15.189 * [backup-simplify]: Simplify -1/2 into -1/2 15.189 * [taylor]: Taking taylor expansion of K in J 15.189 * [backup-simplify]: Simplify K into K 15.189 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.189 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.190 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.190 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.190 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.190 * [backup-simplify]: Simplify (- 0) into 0 15.190 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.190 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.190 * [taylor]: Taking taylor expansion of U in J 15.190 * [backup-simplify]: Simplify U into U 15.190 * [backup-simplify]: Simplify (* 1 1) into 1 15.190 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.190 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.190 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.191 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.191 * [backup-simplify]: Simplify (+ 1 0) into 1 15.191 * [backup-simplify]: Simplify (sqrt 1) into 1 15.191 * [backup-simplify]: Simplify (+ 0 0) into 0 15.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.192 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.192 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.192 * [taylor]: Taking taylor expansion of 1 in U 15.192 * [backup-simplify]: Simplify 1 into 1 15.192 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.192 * [taylor]: Taking taylor expansion of 1/4 in U 15.192 * [backup-simplify]: Simplify 1/4 into 1/4 15.192 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.192 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.192 * [taylor]: Taking taylor expansion of J in U 15.192 * [backup-simplify]: Simplify J into J 15.192 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.192 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.192 * [taylor]: Taking taylor expansion of -1/2 in U 15.192 * [backup-simplify]: Simplify -1/2 into -1/2 15.192 * [taylor]: Taking taylor expansion of K in U 15.192 * [backup-simplify]: Simplify K into K 15.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.192 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.193 * [backup-simplify]: Simplify (- 0) into 0 15.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.193 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.193 * [taylor]: Taking taylor expansion of U in U 15.193 * [backup-simplify]: Simplify 0 into 0 15.193 * [backup-simplify]: Simplify 1 into 1 15.193 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.193 * [backup-simplify]: Simplify (* 1 1) into 1 15.193 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.193 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.193 * [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))) 15.193 * [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))) 15.194 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.194 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.194 * [backup-simplify]: Simplify (+ 0) into 0 15.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.196 * [backup-simplify]: Simplify (- 0) into 0 15.196 * [backup-simplify]: Simplify (+ 0 0) into 0 15.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.196 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.197 * [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 15.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.197 * [backup-simplify]: Simplify (+ 0 0) into 0 15.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.197 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.197 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.198 * [taylor]: Taking taylor expansion of 1 in U 15.198 * [backup-simplify]: Simplify 1 into 1 15.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.198 * [taylor]: Taking taylor expansion of 1/4 in U 15.198 * [backup-simplify]: Simplify 1/4 into 1/4 15.198 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.198 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.198 * [taylor]: Taking taylor expansion of J in U 15.198 * [backup-simplify]: Simplify J into J 15.198 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.198 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.198 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.198 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.198 * [taylor]: Taking taylor expansion of -1/2 in U 15.198 * [backup-simplify]: Simplify -1/2 into -1/2 15.198 * [taylor]: Taking taylor expansion of K in U 15.198 * [backup-simplify]: Simplify K into K 15.198 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.198 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.198 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.198 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.198 * [backup-simplify]: Simplify (- 0) into 0 15.198 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.198 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.198 * [taylor]: Taking taylor expansion of U in U 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.198 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.199 * [backup-simplify]: Simplify (* 1 1) into 1 15.199 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.199 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.199 * [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))) 15.199 * [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))) 15.199 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.199 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.200 * [backup-simplify]: Simplify (+ 0) into 0 15.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.200 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.201 * [backup-simplify]: Simplify (- 0) into 0 15.202 * [backup-simplify]: Simplify (+ 0 0) into 0 15.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.202 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.202 * [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 15.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.203 * [backup-simplify]: Simplify (+ 0 0) into 0 15.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.203 * [taylor]: Taking taylor expansion of 1/2 in J 15.203 * [backup-simplify]: Simplify 1/2 into 1/2 15.203 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.203 * [taylor]: Taking taylor expansion of J in J 15.203 * [backup-simplify]: Simplify 0 into 0 15.203 * [backup-simplify]: Simplify 1 into 1 15.203 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.203 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.203 * [taylor]: Taking taylor expansion of -1/2 in J 15.203 * [backup-simplify]: Simplify -1/2 into -1/2 15.203 * [taylor]: Taking taylor expansion of K in J 15.203 * [backup-simplify]: Simplify K into K 15.203 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.203 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.203 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.203 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.203 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.204 * [backup-simplify]: Simplify (- 0) into 0 15.204 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.204 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.204 * [taylor]: Taking taylor expansion of 0 in J 15.204 * [backup-simplify]: Simplify 0 into 0 15.204 * [taylor]: Taking taylor expansion of 0 in K 15.204 * [backup-simplify]: Simplify 0 into 0 15.204 * [backup-simplify]: Simplify 0 into 0 15.204 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.204 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.204 * [taylor]: Taking taylor expansion of 1/2 in K 15.204 * [backup-simplify]: Simplify 1/2 into 1/2 15.204 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.204 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.204 * [taylor]: Taking taylor expansion of -1/2 in K 15.204 * [backup-simplify]: Simplify -1/2 into -1/2 15.204 * [taylor]: Taking taylor expansion of K in K 15.204 * [backup-simplify]: Simplify 0 into 0 15.204 * [backup-simplify]: Simplify 1 into 1 15.205 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.205 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.205 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.205 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.209 * [backup-simplify]: Simplify (- 0) into 0 15.210 * [backup-simplify]: Simplify (+ 0 0) into 0 15.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.211 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.211 * [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 15.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.213 * [backup-simplify]: Simplify (+ 1 0) into 1 15.214 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.214 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.214 * [taylor]: Taking taylor expansion of -1/2 in J 15.214 * [backup-simplify]: Simplify -1/2 into -1/2 15.214 * [taylor]: Taking taylor expansion of K in J 15.214 * [backup-simplify]: Simplify K into K 15.214 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.214 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.214 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.214 * [taylor]: Taking taylor expansion of J in J 15.214 * [backup-simplify]: Simplify 0 into 0 15.214 * [backup-simplify]: Simplify 1 into 1 15.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.214 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.215 * [backup-simplify]: Simplify (- 0) into 0 15.215 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.215 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.215 * [backup-simplify]: Simplify (+ 0) into 0 15.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.217 * [backup-simplify]: Simplify (- 0) into 0 15.218 * [backup-simplify]: Simplify (+ 0 0) into 0 15.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.218 * [taylor]: Taking taylor expansion of 0 in K 15.218 * [backup-simplify]: Simplify 0 into 0 15.218 * [backup-simplify]: Simplify 0 into 0 15.218 * [taylor]: Taking taylor expansion of 0 in K 15.218 * [backup-simplify]: Simplify 0 into 0 15.218 * [backup-simplify]: Simplify 0 into 0 15.219 * [backup-simplify]: Simplify (+ 0) into 0 15.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.219 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.220 * [backup-simplify]: Simplify (- 0) into 0 15.220 * [backup-simplify]: Simplify (+ 0 0) into 0 15.220 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.221 * [taylor]: Taking taylor expansion of 0 in K 15.221 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.221 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.223 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.225 * [backup-simplify]: Simplify (- 0) into 0 15.225 * [backup-simplify]: Simplify (+ 0 0) into 0 15.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.226 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.226 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.227 * [backup-simplify]: Simplify (+ 0 0) into 0 15.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.228 * [taylor]: Taking taylor expansion of 0 in J 15.228 * [backup-simplify]: Simplify 0 into 0 15.228 * [taylor]: Taking taylor expansion of 0 in K 15.228 * [backup-simplify]: Simplify 0 into 0 15.228 * [backup-simplify]: Simplify 0 into 0 15.228 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 15.228 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 15.228 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 15.228 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 15.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 15.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 15.228 * [taylor]: Taking taylor expansion of 1/3 in K 15.228 * [backup-simplify]: Simplify 1/3 into 1/3 15.228 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 15.228 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.228 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.228 * [taylor]: Taking taylor expansion of 1/2 in K 15.228 * [backup-simplify]: Simplify 1/2 into 1/2 15.228 * [taylor]: Taking taylor expansion of K in K 15.228 * [backup-simplify]: Simplify 0 into 0 15.228 * [backup-simplify]: Simplify 1 into 1 15.228 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.229 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.229 * [backup-simplify]: Simplify (log 1) into 0 15.229 * [backup-simplify]: Simplify (* 1/3 0) into 0 15.230 * [backup-simplify]: Simplify (+ 0) into 0 15.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 15.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 15.233 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 15.233 * [backup-simplify]: Simplify (exp 0) into 1 15.233 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 15.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 15.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 15.234 * [taylor]: Taking taylor expansion of 1/3 in K 15.234 * [backup-simplify]: Simplify 1/3 into 1/3 15.234 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 15.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.234 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.234 * [taylor]: Taking taylor expansion of 1/2 in K 15.234 * [backup-simplify]: Simplify 1/2 into 1/2 15.234 * [taylor]: Taking taylor expansion of K in K 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify 1 into 1 15.234 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.234 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.235 * [backup-simplify]: Simplify (log 1) into 0 15.235 * [backup-simplify]: Simplify (* 1/3 0) into 0 15.235 * [backup-simplify]: Simplify (+ 0) into 0 15.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 15.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 15.239 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 15.239 * [backup-simplify]: Simplify (exp 0) into 1 15.239 * [backup-simplify]: Simplify 1 into 1 15.240 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 15.240 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 15.241 * [backup-simplify]: Simplify -1/24 into -1/24 15.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.242 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.245 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.246 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 15.247 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.247 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 15.262 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 15.265 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 15.271 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 15.271 * [backup-simplify]: Simplify -1/1152 into -1/1152 15.271 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 15.271 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 15.271 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 15.272 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 15.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 15.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 15.272 * [taylor]: Taking taylor expansion of 1/3 in K 15.272 * [backup-simplify]: Simplify 1/3 into 1/3 15.272 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 15.272 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.272 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.272 * [taylor]: Taking taylor expansion of 1/2 in K 15.272 * [backup-simplify]: Simplify 1/2 into 1/2 15.272 * [taylor]: Taking taylor expansion of K in K 15.272 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify 1 into 1 15.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.272 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.272 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 15.273 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 15.273 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 15.273 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 15.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 15.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 15.273 * [taylor]: Taking taylor expansion of 1/3 in K 15.273 * [backup-simplify]: Simplify 1/3 into 1/3 15.273 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 15.273 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.273 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.273 * [taylor]: Taking taylor expansion of 1/2 in K 15.273 * [backup-simplify]: Simplify 1/2 into 1/2 15.273 * [taylor]: Taking taylor expansion of K in K 15.273 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify 1 into 1 15.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.274 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.274 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 15.274 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 15.274 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 15.274 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 15.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 15.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 15.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.276 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 15.279 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 15.280 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.280 * [backup-simplify]: Simplify 0 into 0 15.283 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 15.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 15.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.291 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 15.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 15.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.295 * [backup-simplify]: Simplify 0 into 0 15.302 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 15.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 15.308 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.309 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 15.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.329 * [backup-simplify]: Simplify 0 into 0 15.329 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 15.330 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 15.330 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 15.330 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 15.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 15.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 15.330 * [taylor]: Taking taylor expansion of 1/3 in K 15.330 * [backup-simplify]: Simplify 1/3 into 1/3 15.330 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 15.330 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.330 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.330 * [taylor]: Taking taylor expansion of -1/2 in K 15.330 * [backup-simplify]: Simplify -1/2 into -1/2 15.330 * [taylor]: Taking taylor expansion of K in K 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 1 into 1 15.330 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.330 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.331 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 15.331 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 15.331 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 15.331 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 15.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 15.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 15.331 * [taylor]: Taking taylor expansion of 1/3 in K 15.331 * [backup-simplify]: Simplify 1/3 into 1/3 15.331 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 15.331 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.331 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.331 * [taylor]: Taking taylor expansion of -1/2 in K 15.331 * [backup-simplify]: Simplify -1/2 into -1/2 15.331 * [taylor]: Taking taylor expansion of K in K 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.332 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.332 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.332 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 15.332 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 15.332 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 15.332 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 15.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 15.333 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 15.334 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.334 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 15.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 15.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.338 * [backup-simplify]: Simplify 0 into 0 15.341 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 15.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 15.344 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.344 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 15.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.353 * [backup-simplify]: Simplify 0 into 0 15.361 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 15.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 15.367 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.367 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 15.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 15.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 15.388 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 15.388 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 15.388 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 15.388 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 15.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 15.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 15.388 * [taylor]: Taking taylor expansion of 1/3 in K 15.388 * [backup-simplify]: Simplify 1/3 into 1/3 15.388 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 15.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.388 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.388 * [taylor]: Taking taylor expansion of 1/2 in K 15.388 * [backup-simplify]: Simplify 1/2 into 1/2 15.388 * [taylor]: Taking taylor expansion of K in K 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify 1 into 1 15.389 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.390 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.390 * [backup-simplify]: Simplify (log 1) into 0 15.390 * [backup-simplify]: Simplify (* 1/3 0) into 0 15.391 * [backup-simplify]: Simplify (+ 0) into 0 15.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 15.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 15.397 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 15.397 * [backup-simplify]: Simplify (exp 0) into 1 15.397 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 15.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 15.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 15.397 * [taylor]: Taking taylor expansion of 1/3 in K 15.397 * [backup-simplify]: Simplify 1/3 into 1/3 15.397 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 15.397 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.397 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.397 * [taylor]: Taking taylor expansion of 1/2 in K 15.397 * [backup-simplify]: Simplify 1/2 into 1/2 15.397 * [taylor]: Taking taylor expansion of K in K 15.397 * [backup-simplify]: Simplify 0 into 0 15.397 * [backup-simplify]: Simplify 1 into 1 15.398 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.398 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.399 * [backup-simplify]: Simplify (log 1) into 0 15.399 * [backup-simplify]: Simplify (* 1/3 0) into 0 15.399 * [backup-simplify]: Simplify (+ 0) into 0 15.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 15.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 15.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 15.409 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 15.409 * [backup-simplify]: Simplify (exp 0) into 1 15.409 * [backup-simplify]: Simplify 1 into 1 15.410 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 15.410 * [backup-simplify]: Simplify 0 into 0 15.411 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 15.411 * [backup-simplify]: Simplify -1/24 into -1/24 15.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.413 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.416 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 15.418 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.418 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 15.426 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 15.427 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 15.430 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 15.430 * [backup-simplify]: Simplify -1/1152 into -1/1152 15.430 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 15.430 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 15.430 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 15.430 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 15.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 15.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 15.430 * [taylor]: Taking taylor expansion of 1/3 in K 15.430 * [backup-simplify]: Simplify 1/3 into 1/3 15.430 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 15.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.430 * [taylor]: Taking taylor expansion of 1/2 in K 15.430 * [backup-simplify]: Simplify 1/2 into 1/2 15.430 * [taylor]: Taking taylor expansion of K in K 15.430 * [backup-simplify]: Simplify 0 into 0 15.430 * [backup-simplify]: Simplify 1 into 1 15.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.431 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.431 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 15.431 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 15.431 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 15.431 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 15.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 15.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 15.431 * [taylor]: Taking taylor expansion of 1/3 in K 15.431 * [backup-simplify]: Simplify 1/3 into 1/3 15.431 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 15.431 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.431 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.431 * [taylor]: Taking taylor expansion of 1/2 in K 15.431 * [backup-simplify]: Simplify 1/2 into 1/2 15.431 * [taylor]: Taking taylor expansion of K in K 15.431 * [backup-simplify]: Simplify 0 into 0 15.431 * [backup-simplify]: Simplify 1 into 1 15.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.431 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.432 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 15.432 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 15.432 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 15.432 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 15.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 15.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 15.433 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.433 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 15.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 15.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.435 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 15.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 15.439 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 15.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 15.444 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.444 * [backup-simplify]: Simplify 0 into 0 15.449 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 15.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 15.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.454 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 15.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 15.474 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.474 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 15.474 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 15.474 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 15.474 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 15.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 15.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 15.474 * [taylor]: Taking taylor expansion of 1/3 in K 15.474 * [backup-simplify]: Simplify 1/3 into 1/3 15.474 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 15.474 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.474 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.474 * [taylor]: Taking taylor expansion of -1/2 in K 15.474 * [backup-simplify]: Simplify -1/2 into -1/2 15.474 * [taylor]: Taking taylor expansion of K in K 15.474 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify 1 into 1 15.475 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 15.475 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 15.475 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 15.475 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 15.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 15.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 15.476 * [taylor]: Taking taylor expansion of 1/3 in K 15.476 * [backup-simplify]: Simplify 1/3 into 1/3 15.476 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 15.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.476 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.476 * [taylor]: Taking taylor expansion of -1/2 in K 15.476 * [backup-simplify]: Simplify -1/2 into -1/2 15.476 * [taylor]: Taking taylor expansion of K in K 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 1 into 1 15.477 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.477 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 15.477 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 15.477 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 15.477 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 15.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 15.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 15.479 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.479 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 15.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 15.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.483 * [backup-simplify]: Simplify 0 into 0 15.486 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 15.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 15.489 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.489 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 15.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 15.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.498 * [backup-simplify]: Simplify 0 into 0 15.506 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 15.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 15.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.512 * [backup-simplify]: Simplify 0 into 0 15.525 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 15.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 15.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.534 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 15.535 * * * [progress]: simplifying candidates 15.535 * * * * [progress]: [ 1 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 2 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 3 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 4 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 5 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 6 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 7 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 8 / 90 ] simplifiying candidate # 15.535 * * * * [progress]: [ 9 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 10 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 11 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 12 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 13 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 14 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 15 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 16 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 17 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 18 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 19 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 20 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 21 / 90 ] simplifiying candidate # 15.536 * * * * [progress]: [ 22 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 23 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 24 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 25 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 26 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 27 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 28 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 29 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 30 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 31 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 32 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 33 / 90 ] simplifiying candidate # 15.537 * * * * [progress]: [ 34 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 35 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 36 / 90 ] simplifiying candidate #real (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 15.538 * * * * [progress]: [ 37 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 38 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 39 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 40 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 41 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 42 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 43 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 44 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 45 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 46 / 90 ] simplifiying candidate # 15.538 * * * * [progress]: [ 47 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 48 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 49 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 50 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 51 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 52 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 53 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 54 / 90 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 15.539 * * * * [progress]: [ 55 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 56 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 57 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 58 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 59 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 60 / 90 ] simplifiying candidate # 15.539 * * * * [progress]: [ 61 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 62 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 63 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 64 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 65 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 66 / 90 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 15.540 * * * * [progress]: [ 67 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 68 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 69 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 70 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 71 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 72 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 73 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 74 / 90 ] simplifiying candidate # 15.540 * * * * [progress]: [ 75 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 76 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 77 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 78 / 90 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 15.541 * * * * [progress]: [ 79 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 80 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 81 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 82 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 83 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 84 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 85 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 86 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 87 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 88 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 89 / 90 ] simplifiying candidate # 15.541 * * * * [progress]: [ 90 / 90 ] simplifiying candidate # 15.543 * [simplify]: Simplifying: (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 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(/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) 15.547 * * [simplify]: iteration 0: 147 enodes 15.596 * * [simplify]: iteration 1: 379 enodes 15.765 * * [simplify]: iteration 2: 1460 enodes 16.493 * * [simplify]: iteration complete: 5006 enodes 16.493 * * [simplify]: Extracting #0: cost 47 inf + 0 16.505 * * [simplify]: Extracting #1: cost 487 inf + 3 16.513 * * [simplify]: Extracting #2: cost 1560 inf + 939 16.526 * * [simplify]: Extracting #3: cost 1842 inf + 5383 16.543 * * [simplify]: Extracting #4: cost 1789 inf + 13406 16.568 * * [simplify]: Extracting #5: cost 1607 inf + 59429 16.636 * * [simplify]: Extracting #6: cost 921 inf + 292601 16.777 * * [simplify]: Extracting #7: cost 508 inf + 474212 16.990 * * [simplify]: Extracting #8: cost 101 inf + 701843 17.266 * * [simplify]: Extracting #9: cost 0 inf + 761074 17.470 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* (* (* (cos (/ K 2)) -8) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* (* (* (cos (/ K 2)) -8) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (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))) (* J (* -2 (cos (/ K 2)))))) (* (* (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) J) (* -2 (cos (/ K 2)))) (* (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2)))) (* (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (* (* (sqrt (+ 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))))) J) (* -2 (cos (/ K 2)))) (* (* -2 J) (* (cos (/ K 2)) (sqrt (- 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))))) (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)))) (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))) (* (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) (sqrt (cbrt (+ (* (/ 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))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1))) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) 1 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))) 1)) (sqrt (+ 1 (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos 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(cos (/ K 2)))) 1 (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) 1 (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) 0 (* (cos (* 1/2 K)) (* -2 J)) (* (cos (* 1/2 K)) (* -2 J)) 1 (* (/ U J) (/ 1/2 (cos (* 1/2 K)))) (* (/ U J) (/ 1/2 (cos (* 1/2 K)))) (- (- 1 (* (* 1/24 K) K)) (* (* (* K K) (* K K)) 1/1152)) (cbrt (cos (* 1/2 K))) (cbrt (cos (* 1/2 K))) (- (- 1 (* (* 1/24 K) K)) (* (* (* K K) (* K K)) 1/1152)) (cbrt (cos (* 1/2 K))) (cbrt (cos (* 1/2 K))) 17.488 * * * [progress]: adding candidates to table 18.000 * [progress]: [Phase 3 of 3] Extracting. 18.000 * * [regime]: Finding splitpoints for: (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.006 * * * [regime-changes]: Trying 6 branch expressions: ((/ K 2) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U K J) 18.006 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.077 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.170 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.294 * * * * [regimes]: Trying to branch on U from (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.421 * * * * [regimes]: Trying to branch on K from (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.507 * * * * [regimes]: Trying to branch on J from (# # # # #real (real->posit16 (* (* (cos (/ K 2)) 2) J))))) 1)) (cos (/ K 2)))))> # # # #) 18.690 * * * [regime]: Found split indices: #