0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.110 * * * [progress]: [2/2] Setting up program. 0.118 * [progress]: [Phase 2 of 3] Improving. 0.118 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.119 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.119 * * [simplify]: iters left: 6 (17 enodes) 0.129 * * [simplify]: iters left: 5 (70 enodes) 0.153 * * [simplify]: iters left: 4 (130 enodes) 0.560 * * [simplify]: iters left: 3 (284 enodes) 0.687 * * [simplify]: Extracting #0: cost 1 inf + 0 0.687 * * [simplify]: Extracting #1: cost 16 inf + 0 0.687 * * [simplify]: Extracting #2: cost 30 inf + 2 0.687 * * [simplify]: Extracting #3: cost 47 inf + 87 0.687 * * [simplify]: Extracting #4: cost 107 inf + 1133 0.690 * * [simplify]: Extracting #5: cost 153 inf + 13749 0.700 * * [simplify]: Extracting #6: cost 4 inf + 49904 0.711 * * [simplify]: Extracting #7: cost 0 inf + 50870 0.722 * * [simplify]: Extracting #8: cost 0 inf + 50790 0.739 * [simplify]: Simplified to (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 0.739 * [simplify]: Simplified (2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 0.758 * * [progress]: iteration 1 / 4 0.758 * * * [progress]: picking best candidate 0.765 * * * * [pick]: Picked # 0.765 * * * [progress]: localizing error 0.798 * * * [progress]: generating rewritten candidates 0.798 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.843 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.862 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.876 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.889 * * * [progress]: generating series expansions 0.889 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.889 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 0.889 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 0.889 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 0.889 * [taylor]: Taking taylor expansion of -2 in K 0.889 * [backup-simplify]: Simplify -2 into -2 0.889 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 0.889 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.889 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.889 * [taylor]: Taking taylor expansion of 1/2 in K 0.889 * [backup-simplify]: Simplify 1/2 into 1/2 0.889 * [taylor]: Taking taylor expansion of K in K 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.891 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 0.891 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.891 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 0.891 * [taylor]: Taking taylor expansion of (* 1 1) in K 0.891 * [taylor]: Taking taylor expansion of 1 in K 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [taylor]: Taking taylor expansion of 1 in K 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 0.891 * [taylor]: Taking taylor expansion of 1/2 in K 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 0.891 * [taylor]: Taking taylor expansion of U in K 0.891 * [backup-simplify]: Simplify U into U 0.891 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 0.891 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.891 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.891 * [taylor]: Taking taylor expansion of 1/2 in K 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [taylor]: Taking taylor expansion of K in K 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.892 * [taylor]: Taking taylor expansion of J in K 0.892 * [backup-simplify]: Simplify J into J 0.892 * [backup-simplify]: Simplify (* 1 J) into J 0.892 * [backup-simplify]: Simplify (/ U J) into (/ U J) 0.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 0.892 * [taylor]: Taking taylor expansion of 1/2 in K 0.892 * [backup-simplify]: Simplify 1/2 into 1/2 0.892 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 0.892 * [taylor]: Taking taylor expansion of U in K 0.892 * [backup-simplify]: Simplify U into U 0.892 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 0.892 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.892 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.892 * [taylor]: Taking taylor expansion of 1/2 in K 0.892 * [backup-simplify]: Simplify 1/2 into 1/2 0.892 * [taylor]: Taking taylor expansion of K in K 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.893 * [taylor]: Taking taylor expansion of J in K 0.893 * [backup-simplify]: Simplify J into J 0.893 * [backup-simplify]: Simplify (* 1 J) into J 0.893 * [backup-simplify]: Simplify (/ U J) into (/ U J) 0.893 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 0.893 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 0.893 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 0.893 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 0.894 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.894 * [backup-simplify]: Simplify (+ 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 0.895 * [backup-simplify]: Simplify (+ 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 0.896 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 0.896 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 0.896 * [taylor]: Taking taylor expansion of J in K 0.896 * [backup-simplify]: Simplify J into J 0.896 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 0.896 * [taylor]: Taking taylor expansion of -2 in J 0.896 * [backup-simplify]: Simplify -2 into -2 0.896 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 0.896 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.897 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.897 * [taylor]: Taking taylor expansion of 1/2 in J 0.897 * [backup-simplify]: Simplify 1/2 into 1/2 0.897 * [taylor]: Taking taylor expansion of K in J 0.897 * [backup-simplify]: Simplify K into K 0.897 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.897 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.897 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.897 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 0.897 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 0.897 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.897 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 0.897 * [taylor]: Taking taylor expansion of (* 1 1) in J 0.897 * [taylor]: Taking taylor expansion of 1 in J 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [taylor]: Taking taylor expansion of 1 in J 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 0.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 0.897 * [taylor]: Taking taylor expansion of 1/2 in J 0.897 * [backup-simplify]: Simplify 1/2 into 1/2 0.897 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 0.897 * [taylor]: Taking taylor expansion of U in J 0.897 * [backup-simplify]: Simplify U into U 0.897 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.897 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.897 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.897 * [taylor]: Taking taylor expansion of 1/2 in J 0.897 * [backup-simplify]: Simplify 1/2 into 1/2 0.897 * [taylor]: Taking taylor expansion of K in J 0.897 * [backup-simplify]: Simplify K into K 0.897 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.897 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.897 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.897 * [taylor]: Taking taylor expansion of J in J 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.897 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.898 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0) into 0 0.898 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.899 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.900 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.900 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 0.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 0.900 * [taylor]: Taking taylor expansion of 1/2 in J 0.900 * [backup-simplify]: Simplify 1/2 into 1/2 0.900 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 0.900 * [taylor]: Taking taylor expansion of U in J 0.900 * [backup-simplify]: Simplify U into U 0.900 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.900 * [taylor]: Taking taylor expansion of 1/2 in J 0.900 * [backup-simplify]: Simplify 1/2 into 1/2 0.900 * [taylor]: Taking taylor expansion of K in J 0.900 * [backup-simplify]: Simplify K into K 0.900 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.900 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.900 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.900 * [taylor]: Taking taylor expansion of J in J 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.901 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.901 * [backup-simplify]: Simplify (+ 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.903 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.905 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 0.905 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 0.905 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 0.905 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0.906 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0.906 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 0.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.907 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 0.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.916 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.919 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 0.922 * [taylor]: Taking taylor expansion of J in J 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 0.922 * [taylor]: Taking taylor expansion of -2 in U 0.922 * [backup-simplify]: Simplify -2 into -2 0.922 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 0.922 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.922 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.922 * [taylor]: Taking taylor expansion of 1/2 in U 0.922 * [backup-simplify]: Simplify 1/2 into 1/2 0.922 * [taylor]: Taking taylor expansion of K in U 0.922 * [backup-simplify]: Simplify K into K 0.922 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.922 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.922 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.922 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 0.922 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.923 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 0.923 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.923 * [taylor]: Taking taylor expansion of 1 in U 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of 1 in U 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.923 * [taylor]: Taking taylor expansion of 1/2 in U 0.923 * [backup-simplify]: Simplify 1/2 into 1/2 0.923 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.923 * [taylor]: Taking taylor expansion of U in U 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.923 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.923 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.923 * [taylor]: Taking taylor expansion of 1/2 in U 0.923 * [backup-simplify]: Simplify 1/2 into 1/2 0.923 * [taylor]: Taking taylor expansion of K in U 0.923 * [backup-simplify]: Simplify K into K 0.923 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.923 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.923 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.923 * [taylor]: Taking taylor expansion of J in U 0.923 * [backup-simplify]: Simplify J into J 0.923 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.923 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.924 * [backup-simplify]: Simplify (- 0) into 0 0.924 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.924 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.924 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.924 * [taylor]: Taking taylor expansion of 1/2 in U 0.924 * [backup-simplify]: Simplify 1/2 into 1/2 0.924 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.924 * [taylor]: Taking taylor expansion of U in U 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.924 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.924 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.924 * [taylor]: Taking taylor expansion of 1/2 in U 0.924 * [backup-simplify]: Simplify 1/2 into 1/2 0.924 * [taylor]: Taking taylor expansion of K in U 0.924 * [backup-simplify]: Simplify K into K 0.924 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.925 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.925 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.925 * [taylor]: Taking taylor expansion of J in U 0.925 * [backup-simplify]: Simplify J into J 0.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.925 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.926 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.926 * [backup-simplify]: Simplify (+ 1 0) into 1 0.927 * [backup-simplify]: Simplify (sqrt 1) into 1 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.929 * [taylor]: Taking taylor expansion of J in U 0.929 * [backup-simplify]: Simplify J into J 0.929 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 0.929 * [taylor]: Taking taylor expansion of -2 in U 0.929 * [backup-simplify]: Simplify -2 into -2 0.929 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 0.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.929 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.929 * [taylor]: Taking taylor expansion of 1/2 in U 0.929 * [backup-simplify]: Simplify 1/2 into 1/2 0.929 * [taylor]: Taking taylor expansion of K in U 0.929 * [backup-simplify]: Simplify K into K 0.929 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.929 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.929 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.929 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 0.929 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.929 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 0.929 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.929 * [taylor]: Taking taylor expansion of 1 in U 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of 1 in U 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.929 * [taylor]: Taking taylor expansion of 1/2 in U 0.929 * [backup-simplify]: Simplify 1/2 into 1/2 0.929 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.929 * [taylor]: Taking taylor expansion of U in U 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.930 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.930 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.930 * [taylor]: Taking taylor expansion of 1/2 in U 0.930 * [backup-simplify]: Simplify 1/2 into 1/2 0.930 * [taylor]: Taking taylor expansion of K in U 0.930 * [backup-simplify]: Simplify K into K 0.930 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.930 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.930 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.930 * [taylor]: Taking taylor expansion of J in U 0.930 * [backup-simplify]: Simplify J into J 0.930 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.930 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.930 * [backup-simplify]: Simplify (- 0) into 0 0.931 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.931 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.931 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.931 * [taylor]: Taking taylor expansion of 1/2 in U 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.931 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.931 * [taylor]: Taking taylor expansion of U in U 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.931 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.931 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.931 * [taylor]: Taking taylor expansion of 1/2 in U 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.931 * [taylor]: Taking taylor expansion of K in U 0.931 * [backup-simplify]: Simplify K into K 0.931 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.931 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.931 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.931 * [taylor]: Taking taylor expansion of J in U 0.931 * [backup-simplify]: Simplify J into J 0.931 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.932 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.932 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.932 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.933 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (+ 1 0) into 1 0.933 * [backup-simplify]: Simplify (sqrt 1) into 1 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.935 * [taylor]: Taking taylor expansion of J in U 0.935 * [backup-simplify]: Simplify J into J 0.935 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.935 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.936 * [backup-simplify]: Simplify (- 0) into 0 0.936 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.936 * [backup-simplify]: Simplify (* 1 J) into J 0.936 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.936 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 0.936 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 0.936 * [taylor]: Taking taylor expansion of -2 in J 0.936 * [backup-simplify]: Simplify -2 into -2 0.936 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.936 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.936 * [taylor]: Taking taylor expansion of 1/2 in J 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of K in J 0.936 * [backup-simplify]: Simplify K into K 0.936 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.936 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.936 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.937 * [taylor]: Taking taylor expansion of J in J 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 0.937 * [backup-simplify]: Simplify (+ 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.940 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 0.941 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 0.941 * [taylor]: Taking taylor expansion of 0 in J 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.942 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.942 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.942 * [backup-simplify]: Simplify (* -2 0) into 0 0.943 * [taylor]: Taking taylor expansion of 0 in K 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 0.944 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 0.944 * [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))) 0.944 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 0.946 * [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))) 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 0.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.950 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 0.952 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 0.952 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 0.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 0.952 * [taylor]: Taking taylor expansion of 1/4 in J 0.952 * [backup-simplify]: Simplify 1/4 into 1/4 0.952 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 0.952 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.952 * [taylor]: Taking taylor expansion of 1/2 in J 0.952 * [backup-simplify]: Simplify 1/2 into 1/2 0.952 * [taylor]: Taking taylor expansion of K in J 0.952 * [backup-simplify]: Simplify K into K 0.952 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.953 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.953 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.953 * [taylor]: Taking taylor expansion of J in J 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.953 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.953 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.953 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0) into 0 0.954 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.956 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.957 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 0.957 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 0.957 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 0.957 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 0.957 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 0.957 * [taylor]: Taking taylor expansion of 1/4 in K 0.957 * [backup-simplify]: Simplify 1/4 into 1/4 0.957 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 0.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.958 * [taylor]: Taking taylor expansion of 1/2 in K 0.958 * [backup-simplify]: Simplify 1/2 into 1/2 0.958 * [taylor]: Taking taylor expansion of K in K 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.960 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.960 * [backup-simplify]: Simplify (- 1/4) into -1/4 0.960 * [backup-simplify]: Simplify -1/4 into -1/4 0.960 * [taylor]: Taking taylor expansion of 0 in K 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ 0) into 0 0.961 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.963 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.964 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 0.964 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 0.964 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 0.964 * [taylor]: Taking taylor expansion of 2 in K 0.964 * [backup-simplify]: Simplify 2 into 2 0.964 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.964 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.964 * [taylor]: Taking taylor expansion of 1/2 in K 0.964 * [backup-simplify]: Simplify 1/2 into 1/2 0.964 * [taylor]: Taking taylor expansion of K in K 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.966 * [backup-simplify]: Simplify (* 2 1) into 2 0.966 * [backup-simplify]: Simplify (- 2) into -2 0.966 * [backup-simplify]: Simplify -2 into -2 0.967 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.970 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0) into 0 0.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.974 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 0.976 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 0.980 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.984 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 0.986 * [taylor]: Taking taylor expansion of 0 in J 0.986 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.988 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.990 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 0.993 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [taylor]: Taking taylor expansion of 0 in K 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in K 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.995 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.997 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.999 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in K 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ 0) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (- 0) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.002 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 1.002 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 1.002 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 1.002 * [taylor]: Taking taylor expansion of -2 in K 1.002 * [backup-simplify]: Simplify -2 into -2 1.002 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 1.002 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 1.002 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.002 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 1.003 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.003 * [taylor]: Taking taylor expansion of 1 in K 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [taylor]: Taking taylor expansion of 1 in K 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.003 * [taylor]: Taking taylor expansion of 1/2 in K 1.003 * [backup-simplify]: Simplify 1/2 into 1/2 1.003 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.003 * [taylor]: Taking taylor expansion of J in K 1.003 * [backup-simplify]: Simplify J into J 1.003 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.003 * [taylor]: Taking taylor expansion of U in K 1.003 * [backup-simplify]: Simplify U into U 1.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.003 * [taylor]: Taking taylor expansion of 1/2 in K 1.003 * [backup-simplify]: Simplify 1/2 into 1/2 1.003 * [taylor]: Taking taylor expansion of K in K 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.004 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.004 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.004 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.004 * [taylor]: Taking taylor expansion of 1/2 in K 1.004 * [backup-simplify]: Simplify 1/2 into 1/2 1.004 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.004 * [taylor]: Taking taylor expansion of J in K 1.004 * [backup-simplify]: Simplify J into J 1.004 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.004 * [taylor]: Taking taylor expansion of U in K 1.004 * [backup-simplify]: Simplify U into U 1.004 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.004 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.004 * [taylor]: Taking taylor expansion of 1/2 in K 1.004 * [backup-simplify]: Simplify 1/2 into 1/2 1.004 * [taylor]: Taking taylor expansion of K in K 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.005 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.005 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.005 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.006 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.006 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.006 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.007 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.008 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.010 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 1.010 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.010 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.010 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.010 * [taylor]: Taking taylor expansion of 1/2 in K 1.011 * [backup-simplify]: Simplify 1/2 into 1/2 1.011 * [taylor]: Taking taylor expansion of K in K 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.011 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.011 * [taylor]: Taking taylor expansion of J in K 1.011 * [backup-simplify]: Simplify J into J 1.012 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 1.012 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 1.012 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 1.012 * [taylor]: Taking taylor expansion of -2 in J 1.012 * [backup-simplify]: Simplify -2 into -2 1.012 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 1.012 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 1.012 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.012 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 1.012 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.012 * [taylor]: Taking taylor expansion of 1 in J 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of 1 in J 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.013 * [taylor]: Taking taylor expansion of 1/2 in J 1.013 * [backup-simplify]: Simplify 1/2 into 1/2 1.013 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.013 * [taylor]: Taking taylor expansion of J in J 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.013 * [taylor]: Taking taylor expansion of U in J 1.013 * [backup-simplify]: Simplify U into U 1.013 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.013 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.013 * [taylor]: Taking taylor expansion of 1/2 in J 1.013 * [backup-simplify]: Simplify 1/2 into 1/2 1.013 * [taylor]: Taking taylor expansion of K in J 1.013 * [backup-simplify]: Simplify K into K 1.013 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.013 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.013 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.013 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.013 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.014 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.014 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.014 * [taylor]: Taking taylor expansion of 1/2 in J 1.014 * [backup-simplify]: Simplify 1/2 into 1/2 1.014 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.014 * [taylor]: Taking taylor expansion of J in J 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.014 * [taylor]: Taking taylor expansion of U in J 1.014 * [backup-simplify]: Simplify U into U 1.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.014 * [taylor]: Taking taylor expansion of 1/2 in J 1.014 * [backup-simplify]: Simplify 1/2 into 1/2 1.015 * [taylor]: Taking taylor expansion of K in J 1.015 * [backup-simplify]: Simplify K into K 1.015 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.015 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.015 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.015 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.015 * [backup-simplify]: Simplify (- 0) into 0 1.015 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.015 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.016 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.016 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (+ 1 0) into 1 1.017 * [backup-simplify]: Simplify (sqrt 1) into 1 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.019 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.019 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.019 * [taylor]: Taking taylor expansion of 1/2 in J 1.019 * [backup-simplify]: Simplify 1/2 into 1/2 1.019 * [taylor]: Taking taylor expansion of K in J 1.019 * [backup-simplify]: Simplify K into K 1.019 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.019 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.019 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.019 * [taylor]: Taking taylor expansion of J in J 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.019 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.020 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 1.020 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.020 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.020 * [taylor]: Taking taylor expansion of -2 in U 1.020 * [backup-simplify]: Simplify -2 into -2 1.020 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.020 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.020 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.020 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.020 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.020 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.020 * [taylor]: Taking taylor expansion of 1 in U 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of 1 in U 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.020 * [taylor]: Taking taylor expansion of 1/2 in U 1.020 * [backup-simplify]: Simplify 1/2 into 1/2 1.020 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.020 * [taylor]: Taking taylor expansion of J in U 1.020 * [backup-simplify]: Simplify J into J 1.020 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.020 * [taylor]: Taking taylor expansion of U in U 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.021 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.021 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.021 * [taylor]: Taking taylor expansion of 1/2 in U 1.021 * [backup-simplify]: Simplify 1/2 into 1/2 1.021 * [taylor]: Taking taylor expansion of K in U 1.021 * [backup-simplify]: Simplify K into K 1.021 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.021 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.021 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.021 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.021 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.021 * [backup-simplify]: Simplify (- 0) into 0 1.021 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.022 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.022 * [backup-simplify]: Simplify (+ 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.025 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.025 * [taylor]: Taking taylor expansion of 1/2 in U 1.025 * [backup-simplify]: Simplify 1/2 into 1/2 1.025 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.025 * [taylor]: Taking taylor expansion of J in U 1.025 * [backup-simplify]: Simplify J into J 1.025 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.025 * [taylor]: Taking taylor expansion of U in U 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.026 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.026 * [taylor]: Taking taylor expansion of 1/2 in U 1.026 * [backup-simplify]: Simplify 1/2 into 1/2 1.026 * [taylor]: Taking taylor expansion of K in U 1.026 * [backup-simplify]: Simplify K into K 1.026 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.026 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.026 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.026 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.026 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.026 * [backup-simplify]: Simplify (- 0) into 0 1.027 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.027 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.027 * [backup-simplify]: Simplify (+ 0) into 0 1.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.031 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.031 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.031 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.031 * [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))) 1.031 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.032 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.035 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.035 * [backup-simplify]: Simplify (- 0) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.040 * [backup-simplify]: Simplify (- 0) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.042 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.043 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.043 * [taylor]: Taking taylor expansion of 1/2 in U 1.043 * [backup-simplify]: Simplify 1/2 into 1/2 1.043 * [taylor]: Taking taylor expansion of K in U 1.043 * [backup-simplify]: Simplify K into K 1.043 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.044 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.044 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.044 * [taylor]: Taking taylor expansion of J in U 1.044 * [backup-simplify]: Simplify J into J 1.044 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.044 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.044 * [backup-simplify]: Simplify (- 0) into 0 1.044 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.044 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.045 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.045 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.045 * [taylor]: Taking taylor expansion of -2 in U 1.045 * [backup-simplify]: Simplify -2 into -2 1.045 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.045 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.045 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.045 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.045 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.045 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.045 * [taylor]: Taking taylor expansion of 1 in U 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [taylor]: Taking taylor expansion of 1 in U 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.045 * [taylor]: Taking taylor expansion of 1/2 in U 1.045 * [backup-simplify]: Simplify 1/2 into 1/2 1.045 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.045 * [taylor]: Taking taylor expansion of J in U 1.045 * [backup-simplify]: Simplify J into J 1.045 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.045 * [taylor]: Taking taylor expansion of U in U 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.045 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.045 * [taylor]: Taking taylor expansion of 1/2 in U 1.045 * [backup-simplify]: Simplify 1/2 into 1/2 1.045 * [taylor]: Taking taylor expansion of K in U 1.045 * [backup-simplify]: Simplify K into K 1.045 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.046 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.046 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.046 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.046 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.046 * [backup-simplify]: Simplify (- 0) into 0 1.046 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.046 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.047 * [backup-simplify]: Simplify (+ 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.049 * [backup-simplify]: Simplify (- 0) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.050 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.050 * [taylor]: Taking taylor expansion of 1/2 in U 1.050 * [backup-simplify]: Simplify 1/2 into 1/2 1.050 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.050 * [taylor]: Taking taylor expansion of J in U 1.050 * [backup-simplify]: Simplify J into J 1.050 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.050 * [taylor]: Taking taylor expansion of U in U 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.050 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.050 * [taylor]: Taking taylor expansion of 1/2 in U 1.050 * [backup-simplify]: Simplify 1/2 into 1/2 1.050 * [taylor]: Taking taylor expansion of K in U 1.050 * [backup-simplify]: Simplify K into K 1.050 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.050 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.050 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.051 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.051 * [backup-simplify]: Simplify (- 0) into 0 1.051 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.051 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.051 * [backup-simplify]: Simplify (+ 0) into 0 1.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.054 * [backup-simplify]: Simplify (- 0) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.055 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.055 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.055 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.055 * [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))) 1.055 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.056 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.062 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.064 * [backup-simplify]: Simplify (- 0) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.065 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.066 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.066 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.066 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.066 * [taylor]: Taking taylor expansion of 1/2 in U 1.066 * [backup-simplify]: Simplify 1/2 into 1/2 1.066 * [taylor]: Taking taylor expansion of K in U 1.066 * [backup-simplify]: Simplify K into K 1.066 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.066 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.066 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.066 * [taylor]: Taking taylor expansion of J in U 1.066 * [backup-simplify]: Simplify J into J 1.067 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.067 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.067 * [backup-simplify]: Simplify (- 0) into 0 1.067 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.067 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.067 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.067 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.067 * [taylor]: Taking taylor expansion of -1 in J 1.067 * [backup-simplify]: Simplify -1 into -1 1.068 * [backup-simplify]: Simplify (+ 0) into 0 1.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.069 * [backup-simplify]: Simplify (- 0) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.069 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.070 * [taylor]: Taking taylor expansion of 0 in J 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [taylor]: Taking taylor expansion of -1 in K 1.070 * [backup-simplify]: Simplify -1 into -1 1.070 * [backup-simplify]: Simplify -1 into -1 1.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.077 * [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 1.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.081 * [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 1.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.082 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 1.083 * [backup-simplify]: Simplify (+ 1 0) into 1 1.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.084 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 1.084 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.084 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.084 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.084 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.084 * [taylor]: Taking taylor expansion of 2 in J 1.084 * [backup-simplify]: Simplify 2 into 2 1.084 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.084 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.084 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.084 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.084 * [taylor]: Taking taylor expansion of 1/2 in J 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.084 * [taylor]: Taking taylor expansion of K in J 1.084 * [backup-simplify]: Simplify K into K 1.084 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.085 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.085 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.085 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.085 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.085 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.085 * [taylor]: Taking taylor expansion of J in J 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.085 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.086 * [backup-simplify]: Simplify (+ 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in K 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [taylor]: Taking taylor expansion of 0 in K 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [taylor]: Taking taylor expansion of 0 in K 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [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 1.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.101 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.103 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.107 * [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 1.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.113 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.116 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.117 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.118 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.119 * [taylor]: Taking taylor expansion of 0 in J 1.119 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.125 * [taylor]: Taking taylor expansion of 0 in K 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [taylor]: Taking taylor expansion of 0 in K 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.125 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 1.125 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 1.125 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 1.125 * [taylor]: Taking taylor expansion of 2 in K 1.125 * [backup-simplify]: Simplify 2 into 2 1.125 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 1.125 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.125 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.125 * [taylor]: Taking taylor expansion of -1/2 in K 1.125 * [backup-simplify]: Simplify -1/2 into -1/2 1.125 * [taylor]: Taking taylor expansion of K in K 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.126 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.126 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.126 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.126 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.126 * [taylor]: Taking taylor expansion of 1 in K 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [taylor]: Taking taylor expansion of 1 in K 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.126 * [taylor]: Taking taylor expansion of 1/2 in K 1.126 * [backup-simplify]: Simplify 1/2 into 1/2 1.126 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.126 * [taylor]: Taking taylor expansion of J in K 1.126 * [backup-simplify]: Simplify J into J 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.126 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.126 * [taylor]: Taking taylor expansion of -1/2 in K 1.126 * [backup-simplify]: Simplify -1/2 into -1/2 1.126 * [taylor]: Taking taylor expansion of K in K 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.126 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.126 * [taylor]: Taking taylor expansion of U in K 1.126 * [backup-simplify]: Simplify U into U 1.126 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.126 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.127 * [taylor]: Taking taylor expansion of 1/2 in K 1.127 * [backup-simplify]: Simplify 1/2 into 1/2 1.127 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.127 * [taylor]: Taking taylor expansion of J in K 1.127 * [backup-simplify]: Simplify J into J 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.127 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.127 * [taylor]: Taking taylor expansion of -1/2 in K 1.127 * [backup-simplify]: Simplify -1/2 into -1/2 1.127 * [taylor]: Taking taylor expansion of K in K 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.127 * [taylor]: Taking taylor expansion of U in K 1.127 * [backup-simplify]: Simplify U into U 1.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.127 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.128 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.128 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.128 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.128 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.128 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.129 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.130 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.130 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.131 * [taylor]: Taking taylor expansion of J in K 1.131 * [backup-simplify]: Simplify J into J 1.131 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.132 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.132 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 1.132 * [taylor]: Taking taylor expansion of 2 in J 1.132 * [backup-simplify]: Simplify 2 into 2 1.132 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 1.132 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.132 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.132 * [taylor]: Taking taylor expansion of -1/2 in J 1.132 * [backup-simplify]: Simplify -1/2 into -1/2 1.132 * [taylor]: Taking taylor expansion of K in J 1.132 * [backup-simplify]: Simplify K into K 1.132 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.132 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.132 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.132 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.132 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.132 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.132 * [taylor]: Taking taylor expansion of 1 in J 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [taylor]: Taking taylor expansion of 1 in J 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.132 * [taylor]: Taking taylor expansion of 1/2 in J 1.132 * [backup-simplify]: Simplify 1/2 into 1/2 1.132 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.132 * [taylor]: Taking taylor expansion of J in J 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.132 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.132 * [taylor]: Taking taylor expansion of -1/2 in J 1.132 * [backup-simplify]: Simplify -1/2 into -1/2 1.132 * [taylor]: Taking taylor expansion of K in J 1.132 * [backup-simplify]: Simplify K into K 1.132 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.132 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.132 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.132 * [taylor]: Taking taylor expansion of U in J 1.132 * [backup-simplify]: Simplify U into U 1.132 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.132 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.133 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.133 * [taylor]: Taking taylor expansion of 1/2 in J 1.133 * [backup-simplify]: Simplify 1/2 into 1/2 1.133 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.133 * [taylor]: Taking taylor expansion of J in J 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.133 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.133 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.133 * [taylor]: Taking taylor expansion of -1/2 in J 1.133 * [backup-simplify]: Simplify -1/2 into -1/2 1.133 * [taylor]: Taking taylor expansion of K in J 1.133 * [backup-simplify]: Simplify K into K 1.133 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.133 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.133 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.133 * [taylor]: Taking taylor expansion of U in J 1.133 * [backup-simplify]: Simplify U into U 1.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.133 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.134 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.134 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.134 * [backup-simplify]: Simplify (* 1 1) into 1 1.134 * [backup-simplify]: Simplify (+ 1 0) into 1 1.135 * [backup-simplify]: Simplify (sqrt 1) into 1 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.136 * [taylor]: Taking taylor expansion of J in J 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.136 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.136 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.136 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.136 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.136 * [taylor]: Taking taylor expansion of 2 in U 1.136 * [backup-simplify]: Simplify 2 into 2 1.136 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.136 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.136 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.136 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.136 * [taylor]: Taking taylor expansion of -1/2 in U 1.136 * [backup-simplify]: Simplify -1/2 into -1/2 1.136 * [taylor]: Taking taylor expansion of K in U 1.136 * [backup-simplify]: Simplify K into K 1.136 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.136 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.136 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.136 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.136 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.136 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.137 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.137 * [taylor]: Taking taylor expansion of 1 in U 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [taylor]: Taking taylor expansion of 1 in U 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.137 * [taylor]: Taking taylor expansion of 1/2 in U 1.137 * [backup-simplify]: Simplify 1/2 into 1/2 1.137 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.137 * [taylor]: Taking taylor expansion of J in U 1.137 * [backup-simplify]: Simplify J into J 1.137 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.137 * [taylor]: Taking taylor expansion of -1/2 in U 1.137 * [backup-simplify]: Simplify -1/2 into -1/2 1.137 * [taylor]: Taking taylor expansion of K in U 1.137 * [backup-simplify]: Simplify K into K 1.137 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.137 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.137 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.137 * [taylor]: Taking taylor expansion of U in U 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.137 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.138 * [backup-simplify]: Simplify (+ 0) into 0 1.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.140 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.140 * [taylor]: Taking taylor expansion of 1/2 in U 1.140 * [backup-simplify]: Simplify 1/2 into 1/2 1.140 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.140 * [taylor]: Taking taylor expansion of J in U 1.140 * [backup-simplify]: Simplify J into J 1.140 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.140 * [taylor]: Taking taylor expansion of -1/2 in U 1.140 * [backup-simplify]: Simplify -1/2 into -1/2 1.140 * [taylor]: Taking taylor expansion of K in U 1.140 * [backup-simplify]: Simplify K into K 1.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.140 * [taylor]: Taking taylor expansion of U in U 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.140 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.141 * [backup-simplify]: Simplify (+ 0) into 0 1.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.142 * [backup-simplify]: Simplify (- 0) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.143 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.143 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.143 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.143 * [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))) 1.143 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.143 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.145 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.146 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.147 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.148 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.148 * [backup-simplify]: Simplify (- 0) into 0 1.149 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.149 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.150 * [taylor]: Taking taylor expansion of J in U 1.150 * [backup-simplify]: Simplify J into J 1.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.150 * [backup-simplify]: Simplify (- 0) into 0 1.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.151 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.151 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.151 * [taylor]: Taking taylor expansion of 2 in U 1.151 * [backup-simplify]: Simplify 2 into 2 1.151 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.151 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.151 * [taylor]: Taking taylor expansion of -1/2 in U 1.151 * [backup-simplify]: Simplify -1/2 into -1/2 1.151 * [taylor]: Taking taylor expansion of K in U 1.151 * [backup-simplify]: Simplify K into K 1.151 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.151 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.151 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.151 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.151 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.151 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.151 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.151 * [taylor]: Taking taylor expansion of 1 in U 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [taylor]: Taking taylor expansion of 1 in U 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.151 * [taylor]: Taking taylor expansion of 1/2 in U 1.151 * [backup-simplify]: Simplify 1/2 into 1/2 1.151 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.151 * [taylor]: Taking taylor expansion of J in U 1.151 * [backup-simplify]: Simplify J into J 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.151 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.151 * [taylor]: Taking taylor expansion of -1/2 in U 1.151 * [backup-simplify]: Simplify -1/2 into -1/2 1.151 * [taylor]: Taking taylor expansion of K in U 1.151 * [backup-simplify]: Simplify K into K 1.151 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.151 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.151 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.151 * [taylor]: Taking taylor expansion of U in U 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.152 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.152 * [backup-simplify]: Simplify (+ 0) into 0 1.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.153 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.154 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.154 * [taylor]: Taking taylor expansion of 1/2 in U 1.154 * [backup-simplify]: Simplify 1/2 into 1/2 1.154 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.154 * [taylor]: Taking taylor expansion of J in U 1.154 * [backup-simplify]: Simplify J into J 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.154 * [taylor]: Taking taylor expansion of -1/2 in U 1.154 * [backup-simplify]: Simplify -1/2 into -1/2 1.154 * [taylor]: Taking taylor expansion of K in U 1.154 * [backup-simplify]: Simplify K into K 1.154 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.154 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.154 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.154 * [taylor]: Taking taylor expansion of U in U 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.154 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.155 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.156 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.157 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.157 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.157 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.157 * [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))) 1.157 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.157 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.160 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.161 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.161 * [backup-simplify]: Simplify (- 0) into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.162 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.166 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.166 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.168 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.169 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.169 * [taylor]: Taking taylor expansion of J in U 1.169 * [backup-simplify]: Simplify J into J 1.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.170 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.170 * [backup-simplify]: Simplify (- 0) into 0 1.170 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.170 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.170 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.171 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.171 * [taylor]: Taking taylor expansion of 1 in J 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (+ 0) into 0 1.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.175 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.175 * [taylor]: Taking taylor expansion of 0 in J 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [taylor]: Taking taylor expansion of 1 in K 1.175 * [backup-simplify]: Simplify 1 into 1 1.175 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (* 1 1) into 1 1.176 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.182 * [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 1.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.188 * [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 1.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 1.190 * [backup-simplify]: Simplify (+ 1 0) into 1 1.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 1.194 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.194 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.194 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.194 * [taylor]: Taking taylor expansion of 2 in J 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.194 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.194 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.194 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.194 * [taylor]: Taking taylor expansion of -1/2 in J 1.194 * [backup-simplify]: Simplify -1/2 into -1/2 1.194 * [taylor]: Taking taylor expansion of K in J 1.194 * [backup-simplify]: Simplify K into K 1.194 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.194 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.194 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.194 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.195 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.195 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.195 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.195 * [taylor]: Taking taylor expansion of J in J 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.195 * [backup-simplify]: Simplify (* 1 1) into 1 1.195 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.196 * [backup-simplify]: Simplify (+ 0) into 0 1.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.198 * [taylor]: Taking taylor expansion of 0 in K 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [taylor]: Taking taylor expansion of 0 in K 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [taylor]: Taking taylor expansion of 0 in K 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.200 * [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 1.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.202 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.203 * [backup-simplify]: Simplify (- 0) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.204 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.206 * [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 1.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.208 * [backup-simplify]: Simplify (- 0) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.209 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.210 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.215 * [taylor]: Taking taylor expansion of 0 in J 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.219 * [taylor]: Taking taylor expansion of 0 in K 1.219 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [taylor]: Taking taylor expansion of 0 in K 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.220 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.220 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 1.220 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 1.220 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 1.220 * [taylor]: Taking taylor expansion of 2 in K 1.220 * [backup-simplify]: Simplify 2 into 2 1.220 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.220 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.220 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.220 * [taylor]: Taking taylor expansion of 1/2 in K 1.220 * [backup-simplify]: Simplify 1/2 into 1/2 1.220 * [taylor]: Taking taylor expansion of K in K 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.221 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.221 * [taylor]: Taking taylor expansion of J in K 1.221 * [backup-simplify]: Simplify J into J 1.221 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.221 * [taylor]: Taking taylor expansion of 2 in J 1.221 * [backup-simplify]: Simplify 2 into 2 1.221 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.221 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.221 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.221 * [taylor]: Taking taylor expansion of 1/2 in J 1.221 * [backup-simplify]: Simplify 1/2 into 1/2 1.221 * [taylor]: Taking taylor expansion of K in J 1.221 * [backup-simplify]: Simplify K into K 1.221 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.221 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.221 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.221 * [taylor]: Taking taylor expansion of J in J 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.221 * [taylor]: Taking taylor expansion of 2 in J 1.221 * [backup-simplify]: Simplify 2 into 2 1.221 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.221 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.221 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.221 * [taylor]: Taking taylor expansion of 1/2 in J 1.221 * [backup-simplify]: Simplify 1/2 into 1/2 1.221 * [taylor]: Taking taylor expansion of K in J 1.221 * [backup-simplify]: Simplify K into K 1.221 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.221 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.222 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.222 * [taylor]: Taking taylor expansion of J in J 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.222 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.222 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.223 * [backup-simplify]: Simplify (* 2 0) into 0 1.223 * [taylor]: Taking taylor expansion of 0 in K 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (+ 0) into 0 1.224 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.226 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.227 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 1.227 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.227 * [taylor]: Taking taylor expansion of 2 in K 1.227 * [backup-simplify]: Simplify 2 into 2 1.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.227 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.228 * [taylor]: Taking taylor expansion of 1/2 in K 1.228 * [backup-simplify]: Simplify 1/2 into 1/2 1.228 * [taylor]: Taking taylor expansion of K in K 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.229 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.229 * [backup-simplify]: Simplify (* 2 1) into 2 1.229 * [backup-simplify]: Simplify 2 into 2 1.229 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.233 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.234 * [backup-simplify]: Simplify (- 0) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.236 * [taylor]: Taking taylor expansion of 0 in K 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (+ 0) into 0 1.237 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.239 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 1.245 * [taylor]: Taking taylor expansion of 0 in K 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 1.245 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 1.245 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 1.245 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 1.245 * [taylor]: Taking taylor expansion of 2 in K 1.245 * [backup-simplify]: Simplify 2 into 2 1.245 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.246 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.246 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.246 * [taylor]: Taking taylor expansion of 1/2 in K 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of K in K 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.246 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.246 * [taylor]: Taking taylor expansion of J in K 1.246 * [backup-simplify]: Simplify J into J 1.246 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.246 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.246 * [taylor]: Taking taylor expansion of 2 in J 1.247 * [backup-simplify]: Simplify 2 into 2 1.247 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.247 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.247 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.247 * [taylor]: Taking taylor expansion of 1/2 in J 1.247 * [backup-simplify]: Simplify 1/2 into 1/2 1.247 * [taylor]: Taking taylor expansion of K in J 1.247 * [backup-simplify]: Simplify K into K 1.247 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.247 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.247 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.247 * [taylor]: Taking taylor expansion of J in J 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.247 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.248 * [backup-simplify]: Simplify (- 0) into 0 1.248 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.248 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.248 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.248 * [taylor]: Taking taylor expansion of 2 in J 1.248 * [backup-simplify]: Simplify 2 into 2 1.248 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.248 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.248 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.248 * [taylor]: Taking taylor expansion of 1/2 in J 1.248 * [backup-simplify]: Simplify 1/2 into 1/2 1.248 * [taylor]: Taking taylor expansion of K in J 1.248 * [backup-simplify]: Simplify K into K 1.248 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.248 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.248 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.248 * [taylor]: Taking taylor expansion of J in J 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.249 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.249 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.249 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 1.249 * [taylor]: Taking taylor expansion of 2 in K 1.249 * [backup-simplify]: Simplify 2 into 2 1.249 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.249 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.249 * [taylor]: Taking taylor expansion of 1/2 in K 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of K in K 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.250 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.250 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.250 * [backup-simplify]: Simplify (+ 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.252 * [taylor]: Taking taylor expansion of 0 in K 1.252 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in K 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (+ 0 0) into 0 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in K 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 1.262 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 1.262 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 1.262 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 1.262 * [taylor]: Taking taylor expansion of -2 in K 1.262 * [backup-simplify]: Simplify -2 into -2 1.262 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.262 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.262 * [taylor]: Taking taylor expansion of -1/2 in K 1.262 * [backup-simplify]: Simplify -1/2 into -1/2 1.262 * [taylor]: Taking taylor expansion of K in K 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.263 * [taylor]: Taking taylor expansion of J in K 1.263 * [backup-simplify]: Simplify J into J 1.263 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.263 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.263 * [taylor]: Taking taylor expansion of -2 in J 1.263 * [backup-simplify]: Simplify -2 into -2 1.263 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.263 * [taylor]: Taking taylor expansion of -1/2 in J 1.263 * [backup-simplify]: Simplify -1/2 into -1/2 1.263 * [taylor]: Taking taylor expansion of K in J 1.263 * [backup-simplify]: Simplify K into K 1.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.263 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.263 * [taylor]: Taking taylor expansion of J in J 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.263 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.264 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.264 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.264 * [taylor]: Taking taylor expansion of -2 in J 1.264 * [backup-simplify]: Simplify -2 into -2 1.264 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.264 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.264 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.264 * [taylor]: Taking taylor expansion of -1/2 in J 1.264 * [backup-simplify]: Simplify -1/2 into -1/2 1.264 * [taylor]: Taking taylor expansion of K in J 1.264 * [backup-simplify]: Simplify K into K 1.264 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.264 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.264 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.264 * [taylor]: Taking taylor expansion of J in J 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.264 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.265 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.265 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 1.265 * [taylor]: Taking taylor expansion of -2 in K 1.265 * [backup-simplify]: Simplify -2 into -2 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.265 * [taylor]: Taking taylor expansion of -1/2 in K 1.265 * [backup-simplify]: Simplify -1/2 into -1/2 1.265 * [taylor]: Taking taylor expansion of K in K 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.265 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.265 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.265 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.265 * [backup-simplify]: Simplify (+ 0) into 0 1.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.270 * [taylor]: Taking taylor expansion of 0 in K 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.274 * [taylor]: Taking taylor expansion of 0 in K 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.277 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in K 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 1.281 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.281 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.281 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 1.281 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.281 * [taylor]: Taking taylor expansion of -2 in J 1.281 * [backup-simplify]: Simplify -2 into -2 1.281 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.281 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.281 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.281 * [taylor]: Taking taylor expansion of 1/2 in J 1.281 * [backup-simplify]: Simplify 1/2 into 1/2 1.281 * [taylor]: Taking taylor expansion of K in J 1.281 * [backup-simplify]: Simplify K into K 1.281 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.281 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.281 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.281 * [taylor]: Taking taylor expansion of J in J 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.281 * [taylor]: Taking taylor expansion of -2 in K 1.281 * [backup-simplify]: Simplify -2 into -2 1.281 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.282 * [taylor]: Taking taylor expansion of 1/2 in K 1.282 * [backup-simplify]: Simplify 1/2 into 1/2 1.282 * [taylor]: Taking taylor expansion of K in K 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.283 * [taylor]: Taking taylor expansion of J in K 1.283 * [backup-simplify]: Simplify J into J 1.283 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.283 * [taylor]: Taking taylor expansion of -2 in K 1.283 * [backup-simplify]: Simplify -2 into -2 1.283 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.283 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.283 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.283 * [taylor]: Taking taylor expansion of 1/2 in K 1.283 * [backup-simplify]: Simplify 1/2 into 1/2 1.283 * [taylor]: Taking taylor expansion of K in K 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.284 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.285 * [taylor]: Taking taylor expansion of J in K 1.285 * [backup-simplify]: Simplify J into J 1.285 * [backup-simplify]: Simplify (* 1 J) into J 1.285 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.285 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.285 * [taylor]: Taking taylor expansion of -2 in J 1.285 * [backup-simplify]: Simplify -2 into -2 1.285 * [taylor]: Taking taylor expansion of J in J 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (* -2 0) into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (+ 0) into 0 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.287 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.287 * [taylor]: Taking taylor expansion of 0 in J 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.288 * [backup-simplify]: Simplify -2 into -2 1.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.290 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.290 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.291 * [taylor]: Taking taylor expansion of 1/4 in J 1.291 * [backup-simplify]: Simplify 1/4 into 1/4 1.291 * [taylor]: Taking taylor expansion of J in J 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.294 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.297 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in J 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 1.297 * [backup-simplify]: Simplify 1/4 into 1/4 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.303 * [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 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.305 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 1.305 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 1.305 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 1.305 * [taylor]: Taking taylor expansion of 1/192 in J 1.305 * [backup-simplify]: Simplify 1/192 into 1/192 1.305 * [taylor]: Taking taylor expansion of J in J 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1/192 0) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 1.308 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.308 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 1.308 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.308 * [taylor]: Taking taylor expansion of -2 in J 1.308 * [backup-simplify]: Simplify -2 into -2 1.308 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.308 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.308 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.308 * [taylor]: Taking taylor expansion of 1/2 in J 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of K in J 1.308 * [backup-simplify]: Simplify K into K 1.308 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.308 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.308 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.308 * [taylor]: Taking taylor expansion of J in J 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.308 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.309 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.309 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.309 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.309 * [taylor]: Taking taylor expansion of -2 in K 1.309 * [backup-simplify]: Simplify -2 into -2 1.309 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.309 * [taylor]: Taking taylor expansion of 1/2 in K 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of K in K 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.310 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.310 * [taylor]: Taking taylor expansion of J in K 1.310 * [backup-simplify]: Simplify J into J 1.310 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.310 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.310 * [taylor]: Taking taylor expansion of -2 in K 1.310 * [backup-simplify]: Simplify -2 into -2 1.310 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.310 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.310 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.310 * [taylor]: Taking taylor expansion of 1/2 in K 1.310 * [backup-simplify]: Simplify 1/2 into 1/2 1.310 * [taylor]: Taking taylor expansion of K in K 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.311 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.311 * [taylor]: Taking taylor expansion of J in K 1.311 * [backup-simplify]: Simplify J into J 1.311 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.311 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.311 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.311 * [taylor]: Taking taylor expansion of -2 in J 1.311 * [backup-simplify]: Simplify -2 into -2 1.311 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.311 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.311 * [taylor]: Taking taylor expansion of 1/2 in J 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of K in J 1.311 * [backup-simplify]: Simplify K into K 1.311 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.311 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.312 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.312 * [taylor]: Taking taylor expansion of J in J 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.312 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.312 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.312 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.312 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.313 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.313 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.313 * [taylor]: Taking taylor expansion of 0 in J 1.313 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ 0) into 0 1.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.319 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 1.319 * [taylor]: Taking taylor expansion of 0 in J 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.321 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.326 * [taylor]: Taking taylor expansion of 0 in J 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.330 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.333 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.333 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.333 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.333 * [taylor]: Taking taylor expansion of 2 in J 1.333 * [backup-simplify]: Simplify 2 into 2 1.333 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.333 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.333 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.333 * [taylor]: Taking taylor expansion of -1/2 in J 1.333 * [backup-simplify]: Simplify -1/2 into -1/2 1.333 * [taylor]: Taking taylor expansion of K in J 1.333 * [backup-simplify]: Simplify K into K 1.333 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.333 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.334 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.334 * [taylor]: Taking taylor expansion of J in J 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.334 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.334 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.334 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.334 * [taylor]: Taking taylor expansion of 2 in K 1.334 * [backup-simplify]: Simplify 2 into 2 1.334 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.334 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.334 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.334 * [taylor]: Taking taylor expansion of -1/2 in K 1.334 * [backup-simplify]: Simplify -1/2 into -1/2 1.334 * [taylor]: Taking taylor expansion of K in K 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.335 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.335 * [taylor]: Taking taylor expansion of J in K 1.335 * [backup-simplify]: Simplify J into J 1.335 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.335 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.335 * [taylor]: Taking taylor expansion of 2 in K 1.335 * [backup-simplify]: Simplify 2 into 2 1.335 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.335 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.335 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.335 * [taylor]: Taking taylor expansion of -1/2 in K 1.335 * [backup-simplify]: Simplify -1/2 into -1/2 1.335 * [taylor]: Taking taylor expansion of K in K 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.335 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.335 * [taylor]: Taking taylor expansion of J in K 1.335 * [backup-simplify]: Simplify J into J 1.335 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.336 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.336 * [taylor]: Taking taylor expansion of 2 in J 1.336 * [backup-simplify]: Simplify 2 into 2 1.336 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.336 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.336 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.336 * [taylor]: Taking taylor expansion of -1/2 in J 1.336 * [backup-simplify]: Simplify -1/2 into -1/2 1.336 * [taylor]: Taking taylor expansion of K in J 1.336 * [backup-simplify]: Simplify K into K 1.336 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.336 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.336 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.336 * [taylor]: Taking taylor expansion of J in J 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.336 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.336 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.336 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.336 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.336 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in J 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ 0) into 0 1.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.340 * [taylor]: Taking taylor expansion of 0 in J 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.345 * [taylor]: Taking taylor expansion of 0 in J 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.350 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.350 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.350 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 1.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.350 * [taylor]: Taking taylor expansion of 1/2 in K 1.350 * [backup-simplify]: Simplify 1/2 into 1/2 1.350 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.350 * [taylor]: Taking taylor expansion of U in K 1.350 * [backup-simplify]: Simplify U into U 1.350 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.350 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.350 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.350 * [taylor]: Taking taylor expansion of 1/2 in K 1.350 * [backup-simplify]: Simplify 1/2 into 1/2 1.350 * [taylor]: Taking taylor expansion of K in K 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.351 * [taylor]: Taking taylor expansion of J in K 1.351 * [backup-simplify]: Simplify J into J 1.351 * [backup-simplify]: Simplify (* 1 J) into J 1.351 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.351 * [taylor]: Taking taylor expansion of 1/2 in J 1.351 * [backup-simplify]: Simplify 1/2 into 1/2 1.351 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.351 * [taylor]: Taking taylor expansion of U in J 1.351 * [backup-simplify]: Simplify U into U 1.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.351 * [taylor]: Taking taylor expansion of 1/2 in J 1.351 * [backup-simplify]: Simplify 1/2 into 1/2 1.352 * [taylor]: Taking taylor expansion of K in J 1.352 * [backup-simplify]: Simplify K into K 1.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.352 * [taylor]: Taking taylor expansion of J in J 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.352 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.354 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.354 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.355 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.355 * [taylor]: Taking taylor expansion of 1/2 in U 1.355 * [backup-simplify]: Simplify 1/2 into 1/2 1.355 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.355 * [taylor]: Taking taylor expansion of U in U 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.355 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.355 * [taylor]: Taking taylor expansion of 1/2 in U 1.355 * [backup-simplify]: Simplify 1/2 into 1/2 1.355 * [taylor]: Taking taylor expansion of K in U 1.355 * [backup-simplify]: Simplify K into K 1.355 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.355 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.355 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.355 * [taylor]: Taking taylor expansion of J in U 1.355 * [backup-simplify]: Simplify J into J 1.355 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.355 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.355 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.355 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.355 * [taylor]: Taking taylor expansion of 1/2 in U 1.355 * [backup-simplify]: Simplify 1/2 into 1/2 1.355 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.355 * [taylor]: Taking taylor expansion of U in U 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.356 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.356 * [taylor]: Taking taylor expansion of 1/2 in U 1.356 * [backup-simplify]: Simplify 1/2 into 1/2 1.356 * [taylor]: Taking taylor expansion of K in U 1.356 * [backup-simplify]: Simplify K into K 1.356 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.356 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.356 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.356 * [taylor]: Taking taylor expansion of J in U 1.356 * [backup-simplify]: Simplify J into J 1.356 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.356 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.356 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.356 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.356 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.356 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 1.356 * [taylor]: Taking taylor expansion of 1/2 in J 1.356 * [backup-simplify]: Simplify 1/2 into 1/2 1.356 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.356 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.356 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.356 * [taylor]: Taking taylor expansion of 1/2 in J 1.356 * [backup-simplify]: Simplify 1/2 into 1/2 1.356 * [taylor]: Taking taylor expansion of K in J 1.356 * [backup-simplify]: Simplify K into K 1.357 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.357 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.357 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.357 * [taylor]: Taking taylor expansion of J in J 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.357 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.357 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.358 * [backup-simplify]: Simplify (+ 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.360 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.361 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 1.361 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 1.361 * [taylor]: Taking taylor expansion of 1/2 in K 1.361 * [backup-simplify]: Simplify 1/2 into 1/2 1.361 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.361 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.361 * [taylor]: Taking taylor expansion of 1/2 in K 1.361 * [backup-simplify]: Simplify 1/2 into 1/2 1.361 * [taylor]: Taking taylor expansion of K in K 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.362 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.362 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.362 * [backup-simplify]: Simplify 1/2 into 1/2 1.362 * [backup-simplify]: Simplify (+ 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.364 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.364 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.365 * [taylor]: Taking taylor expansion of 0 in J 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.368 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.368 * [taylor]: Taking taylor expansion of 0 in K 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (+ 0) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.370 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.372 * [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 1.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 1.373 * [taylor]: Taking taylor expansion of 0 in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [taylor]: Taking taylor expansion of 0 in K 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.376 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.377 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.377 * [taylor]: Taking taylor expansion of 0 in K 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 1.380 * [backup-simplify]: Simplify 1/16 into 1/16 1.380 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.383 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.384 * [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 1.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in J 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in K 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in K 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [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 1.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.389 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.390 * [taylor]: Taking taylor expansion of 0 in K 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 1.391 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.391 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.391 * [taylor]: Taking taylor expansion of 1/2 in K 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.391 * [taylor]: Taking taylor expansion of J in K 1.391 * [backup-simplify]: Simplify J into J 1.391 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.391 * [taylor]: Taking taylor expansion of U in K 1.391 * [backup-simplify]: Simplify U into U 1.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.391 * [taylor]: Taking taylor expansion of 1/2 in K 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of K in K 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.391 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.392 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.392 * [taylor]: Taking taylor expansion of 1/2 in J 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.392 * [taylor]: Taking taylor expansion of J in J 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.392 * [taylor]: Taking taylor expansion of U in J 1.392 * [backup-simplify]: Simplify U into U 1.392 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.392 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.392 * [taylor]: Taking taylor expansion of 1/2 in J 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of K in J 1.392 * [backup-simplify]: Simplify K into K 1.392 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.392 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.393 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.393 * [taylor]: Taking taylor expansion of 1/2 in U 1.393 * [backup-simplify]: Simplify 1/2 into 1/2 1.393 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.393 * [taylor]: Taking taylor expansion of J in U 1.393 * [backup-simplify]: Simplify J into J 1.393 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.393 * [taylor]: Taking taylor expansion of U in U 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.393 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.393 * [taylor]: Taking taylor expansion of 1/2 in U 1.393 * [backup-simplify]: Simplify 1/2 into 1/2 1.393 * [taylor]: Taking taylor expansion of K in U 1.393 * [backup-simplify]: Simplify K into K 1.393 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.393 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.393 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.393 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.394 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.394 * [backup-simplify]: Simplify (+ 0) into 0 1.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.397 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.397 * [taylor]: Taking taylor expansion of 1/2 in U 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.398 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.398 * [taylor]: Taking taylor expansion of J in U 1.398 * [backup-simplify]: Simplify J into J 1.398 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.398 * [taylor]: Taking taylor expansion of U in U 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.398 * [taylor]: Taking taylor expansion of 1/2 in U 1.398 * [backup-simplify]: Simplify 1/2 into 1/2 1.398 * [taylor]: Taking taylor expansion of K in U 1.398 * [backup-simplify]: Simplify K into K 1.398 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.399 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.399 * [backup-simplify]: Simplify (+ 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.403 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.403 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.403 * [taylor]: Taking taylor expansion of 1/2 in J 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.403 * [taylor]: Taking taylor expansion of J in J 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.403 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.403 * [taylor]: Taking taylor expansion of 1/2 in J 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of K in J 1.403 * [backup-simplify]: Simplify K into K 1.403 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.404 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.404 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.405 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.405 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.405 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.405 * [taylor]: Taking taylor expansion of 1/2 in K 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.405 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.405 * [taylor]: Taking taylor expansion of 1/2 in K 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of K in K 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.406 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.406 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.409 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.411 * [taylor]: Taking taylor expansion of 0 in J 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in K 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (+ 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.415 * [taylor]: Taking taylor expansion of 0 in K 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.422 * [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 1.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.423 * [taylor]: Taking taylor expansion of 0 in J 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [taylor]: Taking taylor expansion of 0 in K 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [taylor]: Taking taylor expansion of 0 in K 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 1.428 * [taylor]: Taking taylor expansion of 0 in K 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.428 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.428 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 1.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.428 * [taylor]: Taking taylor expansion of 1/2 in K 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.428 * [taylor]: Taking taylor expansion of J in K 1.428 * [backup-simplify]: Simplify J into J 1.428 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.428 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.428 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.429 * [taylor]: Taking taylor expansion of -1/2 in K 1.429 * [backup-simplify]: Simplify -1/2 into -1/2 1.429 * [taylor]: Taking taylor expansion of K in K 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.429 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.429 * [taylor]: Taking taylor expansion of U in K 1.429 * [backup-simplify]: Simplify U into U 1.429 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.429 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.429 * [taylor]: Taking taylor expansion of 1/2 in J 1.430 * [backup-simplify]: Simplify 1/2 into 1/2 1.430 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.430 * [taylor]: Taking taylor expansion of J in J 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.430 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.430 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.430 * [taylor]: Taking taylor expansion of -1/2 in J 1.430 * [backup-simplify]: Simplify -1/2 into -1/2 1.430 * [taylor]: Taking taylor expansion of K in J 1.430 * [backup-simplify]: Simplify K into K 1.430 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.430 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.430 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.430 * [taylor]: Taking taylor expansion of U in J 1.430 * [backup-simplify]: Simplify U into U 1.430 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.430 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.431 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.431 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.431 * [taylor]: Taking taylor expansion of 1/2 in U 1.431 * [backup-simplify]: Simplify 1/2 into 1/2 1.431 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.431 * [taylor]: Taking taylor expansion of J in U 1.431 * [backup-simplify]: Simplify J into J 1.431 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.431 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.431 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.431 * [taylor]: Taking taylor expansion of -1/2 in U 1.431 * [backup-simplify]: Simplify -1/2 into -1/2 1.431 * [taylor]: Taking taylor expansion of K in U 1.431 * [backup-simplify]: Simplify K into K 1.431 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.431 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.431 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.431 * [taylor]: Taking taylor expansion of U in U 1.431 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.432 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.432 * [backup-simplify]: Simplify (- 0) into 0 1.432 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.432 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.433 * [backup-simplify]: Simplify (+ 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.436 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.436 * [taylor]: Taking taylor expansion of 1/2 in U 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.436 * [taylor]: Taking taylor expansion of J in U 1.436 * [backup-simplify]: Simplify J into J 1.436 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.436 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.436 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.436 * [taylor]: Taking taylor expansion of -1/2 in U 1.436 * [backup-simplify]: Simplify -1/2 into -1/2 1.437 * [taylor]: Taking taylor expansion of K in U 1.437 * [backup-simplify]: Simplify K into K 1.437 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.437 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.437 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.437 * [taylor]: Taking taylor expansion of U in U 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.437 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.438 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.442 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.442 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.442 * [taylor]: Taking taylor expansion of 1/2 in J 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.442 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.442 * [taylor]: Taking taylor expansion of J in J 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.442 * [taylor]: Taking taylor expansion of -1/2 in J 1.442 * [backup-simplify]: Simplify -1/2 into -1/2 1.442 * [taylor]: Taking taylor expansion of K in J 1.442 * [backup-simplify]: Simplify K into K 1.442 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.443 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.443 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.443 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.443 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.443 * [taylor]: Taking taylor expansion of 1/2 in K 1.443 * [backup-simplify]: Simplify 1/2 into 1/2 1.443 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.443 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.443 * [taylor]: Taking taylor expansion of -1/2 in K 1.443 * [backup-simplify]: Simplify -1/2 into -1/2 1.443 * [taylor]: Taking taylor expansion of K in K 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.444 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.444 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.447 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.448 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.449 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.450 * [taylor]: Taking taylor expansion of 0 in J 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [taylor]: Taking taylor expansion of 0 in K 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ 0) into 0 1.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.452 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.453 * [taylor]: Taking taylor expansion of 0 in K 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.460 * [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 1.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.462 * [taylor]: Taking taylor expansion of 0 in J 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 0 in K 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 0 in K 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.464 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 1.467 * [taylor]: Taking taylor expansion of 0 in K 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.467 * * * [progress]: simplifying candidates 1.467 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 1.467 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 1.468 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 1.468 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.468 * * [simplify]: iters left: 6 (15 enodes) 1.477 * * [simplify]: iters left: 5 (60 enodes) 1.496 * * [simplify]: iters left: 4 (102 enodes) 1.529 * * [simplify]: iters left: 3 (148 enodes) 1.549 * * [simplify]: iters left: 2 (169 enodes) 1.585 * * [simplify]: Extracting #0: cost 1 inf + 0 1.585 * * [simplify]: Extracting #1: cost 16 inf + 0 1.585 * * [simplify]: Extracting #2: cost 29 inf + 2 1.586 * * [simplify]: Extracting #3: cost 37 inf + 87 1.586 * * [simplify]: Extracting #4: cost 41 inf + 174 1.587 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.589 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.593 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.598 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.598 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.598 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 1.598 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.599 * * [simplify]: iters left: 6 (15 enodes) 1.607 * * [simplify]: iters left: 5 (60 enodes) 1.628 * * [simplify]: iters left: 4 (102 enodes) 1.662 * * [simplify]: iters left: 3 (148 enodes) 1.705 * * [simplify]: iters left: 2 (169 enodes) 1.733 * * [simplify]: Extracting #0: cost 1 inf + 0 1.733 * * [simplify]: Extracting #1: cost 16 inf + 0 1.733 * * [simplify]: Extracting #2: cost 29 inf + 2 1.733 * * [simplify]: Extracting #3: cost 37 inf + 87 1.734 * * [simplify]: Extracting #4: cost 41 inf + 174 1.734 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.735 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.738 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.740 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.740 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.740 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 1.740 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.740 * * [simplify]: iters left: 6 (15 enodes) 1.744 * * [simplify]: iters left: 5 (60 enodes) 1.757 * * [simplify]: iters left: 4 (102 enodes) 1.789 * * [simplify]: iters left: 3 (148 enodes) 1.831 * * [simplify]: iters left: 2 (169 enodes) 1.862 * * [simplify]: Extracting #0: cost 1 inf + 0 1.862 * * [simplify]: Extracting #1: cost 16 inf + 0 1.862 * * [simplify]: Extracting #2: cost 29 inf + 2 1.862 * * [simplify]: Extracting #3: cost 37 inf + 87 1.863 * * [simplify]: Extracting #4: cost 41 inf + 174 1.863 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.864 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.867 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.869 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.869 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.869 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 1.869 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 1.869 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) 1.869 * * [simplify]: iters left: 6 (19 enodes) 1.876 * * [simplify]: iters left: 5 (72 enodes) 1.887 * * [simplify]: iters left: 4 (116 enodes) 1.905 * * [simplify]: iters left: 3 (168 enodes) 1.928 * * [simplify]: iters left: 2 (189 enodes) 1.952 * * [simplify]: Extracting #0: cost 1 inf + 0 1.952 * * [simplify]: Extracting #1: cost 16 inf + 0 1.952 * * [simplify]: Extracting #2: cost 34 inf + 0 1.953 * * [simplify]: Extracting #3: cost 35 inf + 144 1.953 * * [simplify]: Extracting #4: cost 42 inf + 469 1.953 * * [simplify]: Extracting #5: cost 41 inf + 1491 1.954 * * [simplify]: Extracting #6: cost 20 inf + 7688 1.957 * * [simplify]: Extracting #7: cost 2 inf + 13584 1.960 * * [simplify]: Extracting #8: cost 0 inf + 14836 1.962 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log -2) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log J)))) 1.962 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log -2) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log J)))))) 1.963 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 1.963 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) 1.963 * * [simplify]: iters left: 6 (18 enodes) 1.968 * * [simplify]: iters left: 5 (70 enodes) 1.979 * * [simplify]: iters left: 4 (109 enodes) 2.010 * * [simplify]: iters left: 3 (158 enodes) 2.056 * * [simplify]: iters left: 2 (193 enodes) 2.108 * * [simplify]: iters left: 1 (197 enodes) 2.151 * * [simplify]: Extracting #0: cost 1 inf + 0 2.151 * * [simplify]: Extracting #1: cost 16 inf + 0 2.151 * * [simplify]: Extracting #2: cost 35 inf + 0 2.151 * * [simplify]: Extracting #3: cost 37 inf + 144 2.152 * * [simplify]: Extracting #4: cost 42 inf + 483 2.152 * * [simplify]: Extracting #5: cost 41 inf + 1435 2.153 * * [simplify]: Extracting #6: cost 18 inf + 8686 2.156 * * [simplify]: Extracting #7: cost 1 inf + 14077 2.159 * * [simplify]: Extracting #8: cost 0 inf + 14360 2.162 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))) 2.162 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))))) 2.162 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 2.162 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (* (cos (/ K 2)) (* -2 J)))) 2.162 * * [simplify]: iters left: 6 (17 enodes) 2.167 * * [simplify]: iters left: 5 (67 enodes) 2.183 * * [simplify]: iters left: 4 (108 enodes) 2.219 * * [simplify]: iters left: 3 (157 enodes) 2.265 * * [simplify]: iters left: 2 (203 enodes) 2.320 * * [simplify]: iters left: 1 (216 enodes) 2.372 * * [simplify]: Extracting #0: cost 1 inf + 0 2.373 * * [simplify]: Extracting #1: cost 16 inf + 0 2.373 * * [simplify]: Extracting #2: cost 38 inf + 0 2.373 * * [simplify]: Extracting #3: cost 43 inf + 115 2.374 * * [simplify]: Extracting #4: cost 47 inf + 595 2.375 * * [simplify]: Extracting #5: cost 38 inf + 3082 2.379 * * [simplify]: Extracting #6: cost 11 inf + 10399 2.385 * * [simplify]: Extracting #7: cost 0 inf + 14094 2.390 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J))))) (log (* (* J -2) (cos (/ K 2))))) 2.390 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J))))) (log (* (* J -2) (cos (/ K 2))))))) 2.390 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 2.391 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 2.391 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 2.391 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) 2.391 * * [simplify]: iters left: 6 (23 enodes) 2.404 * * [simplify]: iters left: 5 (97 enodes) 2.444 * * [simplify]: iters left: 4 (236 enodes) 2.529 * * [simplify]: Extracting #0: cost 1 inf + 0 2.529 * * [simplify]: Extracting #1: cost 58 inf + 0 2.531 * * [simplify]: Extracting #2: cost 248 inf + 87 2.533 * * [simplify]: Extracting #3: cost 265 inf + 1241 2.538 * * [simplify]: Extracting #4: cost 217 inf + 10239 2.555 * * [simplify]: Extracting #5: cost 95 inf + 48734 2.581 * * [simplify]: Extracting #6: cost 7 inf + 90261 2.610 * * [simplify]: Extracting #7: cost 0 inf + 94024 2.631 * [simplify]: Simplified to (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) -8)) (* J (* J J))) 2.631 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) -8)) (* J (* J J))))) 2.632 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 2.632 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 2.632 * * [simplify]: iters left: 6 (21 enodes) 2.638 * * [simplify]: iters left: 5 (95 enodes) 2.660 * * [simplify]: iters left: 4 (234 enodes) 2.759 * * [simplify]: Extracting #0: cost 1 inf + 0 2.759 * * [simplify]: Extracting #1: cost 56 inf + 0 2.760 * * [simplify]: Extracting #2: cost 215 inf + 291 2.761 * * [simplify]: Extracting #3: cost 229 inf + 1857 2.762 * * [simplify]: Extracting #4: cost 225 inf + 2479 2.766 * * [simplify]: Extracting #5: cost 163 inf + 19978 2.784 * * [simplify]: Extracting #6: cost 24 inf + 75307 2.826 * * [simplify]: Extracting #7: cost 0 inf + 85249 2.867 * * [simplify]: Extracting #8: cost 0 inf + 85049 2.912 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))))) 2.912 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))))))) 2.912 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 2.913 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) 2.913 * * [simplify]: iters left: 6 (19 enodes) 2.923 * * [simplify]: iters left: 5 (85 enodes) 2.957 * * [simplify]: iters left: 4 (233 enodes) 3.078 * * [simplify]: Extracting #0: cost 1 inf + 0 3.078 * * [simplify]: Extracting #1: cost 51 inf + 0 3.079 * * [simplify]: Extracting #2: cost 249 inf + 167 3.081 * * [simplify]: Extracting #3: cost 263 inf + 1322 3.087 * * [simplify]: Extracting #4: cost 215 inf + 16178 3.125 * * [simplify]: Extracting #5: cost 46 inf + 78072 3.167 * * [simplify]: Extracting #6: cost 0 inf + 97925 3.192 * * [simplify]: Extracting #7: cost 0 inf + 97365 3.222 * * [simplify]: Extracting #8: cost 0 inf + 97285 3.255 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J))) 3.255 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J))))) 3.255 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 3.255 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 3.255 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 3.255 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 3.255 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 3.256 * [simplify]: Simplifying (* -2 J) 3.256 * * [simplify]: iters left: 2 (3 enodes) 3.257 * * [simplify]: iters left: 1 (10 enodes) 3.259 * * [simplify]: Extracting #0: cost 1 inf + 0 3.259 * * [simplify]: Extracting #1: cost 4 inf + 0 3.259 * * [simplify]: Extracting #2: cost 2 inf + 2 3.259 * * [simplify]: Extracting #3: cost 0 inf + 86 3.259 * [simplify]: Simplified to (* -2 J) 3.259 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 3.259 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 3.259 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 3.259 * * [simplify]: iters left: 6 (13 enodes) 3.263 * * [simplify]: iters left: 5 (47 enodes) 3.270 * * [simplify]: iters left: 4 (67 enodes) 3.282 * * [simplify]: iters left: 3 (84 enodes) 3.304 * * [simplify]: iters left: 2 (89 enodes) 3.328 * * [simplify]: Extracting #0: cost 1 inf + 0 3.328 * * [simplify]: Extracting #1: cost 3 inf + 0 3.328 * * [simplify]: Extracting #2: cost 5 inf + 0 3.328 * * [simplify]: Extracting #3: cost 8 inf + 0 3.328 * * [simplify]: Extracting #4: cost 18 inf + 1 3.329 * * [simplify]: Extracting #5: cost 27 inf + 4 3.329 * * [simplify]: Extracting #6: cost 27 inf + 338 3.329 * * [simplify]: Extracting #7: cost 23 inf + 465 3.330 * * [simplify]: Extracting #8: cost 12 inf + 2056 3.332 * * [simplify]: Extracting #9: cost 1 inf + 4835 3.334 * * [simplify]: Extracting #10: cost 0 inf + 5195 3.336 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 3.336 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 3.336 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 3.337 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 3.337 * * [simplify]: iters left: 6 (12 enodes) 3.343 * * [simplify]: iters left: 5 (44 enodes) 3.357 * * [simplify]: iters left: 4 (64 enodes) 3.377 * * [simplify]: iters left: 3 (81 enodes) 3.400 * * [simplify]: iters left: 2 (86 enodes) 3.414 * * [simplify]: Extracting #0: cost 1 inf + 0 3.414 * * [simplify]: Extracting #1: cost 3 inf + 0 3.414 * * [simplify]: Extracting #2: cost 6 inf + 0 3.414 * * [simplify]: Extracting #3: cost 16 inf + 1 3.414 * * [simplify]: Extracting #4: cost 25 inf + 4 3.414 * * [simplify]: Extracting #5: cost 26 inf + 255 3.414 * * [simplify]: Extracting #6: cost 21 inf + 465 3.415 * * [simplify]: Extracting #7: cost 7 inf + 2565 3.415 * * [simplify]: Extracting #8: cost 1 inf + 4035 3.416 * * [simplify]: Extracting #9: cost 0 inf + 4315 3.417 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.417 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 3.417 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 3.417 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))))))> 3.417 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 3.417 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 3.417 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 3.417 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 3.417 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 3.417 * * [simplify]: iters left: 6 (7 enodes) 3.419 * * [simplify]: iters left: 5 (25 enodes) 3.423 * * [simplify]: iters left: 4 (33 enodes) 3.428 * * [simplify]: iters left: 3 (39 enodes) 3.433 * * [simplify]: Extracting #0: cost 1 inf + 0 3.433 * * [simplify]: Extracting #1: cost 8 inf + 0 3.433 * * [simplify]: Extracting #2: cost 11 inf + 2 3.433 * * [simplify]: Extracting #3: cost 12 inf + 44 3.434 * * [simplify]: Extracting #4: cost 8 inf + 171 3.434 * * [simplify]: Extracting #5: cost 3 inf + 843 3.435 * * [simplify]: Extracting #6: cost 0 inf + 1311 3.435 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 3.435 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (cos (/ K 2)) (* -2 J)))) 3.435 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 3.436 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 3.436 * * [simplify]: iters left: 6 (7 enodes) 3.440 * * [simplify]: iters left: 5 (25 enodes) 3.447 * * [simplify]: iters left: 4 (33 enodes) 3.457 * * [simplify]: iters left: 3 (39 enodes) 3.467 * * [simplify]: Extracting #0: cost 1 inf + 0 3.467 * * [simplify]: Extracting #1: cost 8 inf + 0 3.468 * * [simplify]: Extracting #2: cost 11 inf + 2 3.468 * * [simplify]: Extracting #3: cost 12 inf + 44 3.468 * * [simplify]: Extracting #4: cost 8 inf + 171 3.468 * * [simplify]: Extracting #5: cost 3 inf + 843 3.469 * * [simplify]: Extracting #6: cost 0 inf + 1311 3.469 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 3.469 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (cos (/ K 2)) (* -2 J)))) 3.469 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 3.469 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 3.469 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 3.469 * * [simplify]: iters left: 6 (10 enodes) 3.472 * * [simplify]: iters left: 5 (34 enodes) 3.478 * * [simplify]: iters left: 4 (42 enodes) 3.484 * * [simplify]: iters left: 3 (47 enodes) 3.491 * * [simplify]: Extracting #0: cost 1 inf + 0 3.492 * * [simplify]: Extracting #1: cost 8 inf + 0 3.492 * * [simplify]: Extracting #2: cost 17 inf + 0 3.492 * * [simplify]: Extracting #3: cost 15 inf + 144 3.492 * * [simplify]: Extracting #4: cost 16 inf + 215 3.492 * * [simplify]: Extracting #5: cost 9 inf + 837 3.492 * * [simplify]: Extracting #6: cost 1 inf + 2916 3.493 * * [simplify]: Extracting #7: cost 0 inf + 3199 3.493 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 3.493 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log 2) (+ (log J) (log (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 3.493 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 3.493 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 3.493 * * [simplify]: iters left: 6 (9 enodes) 3.496 * * [simplify]: iters left: 5 (32 enodes) 3.505 * * [simplify]: iters left: 4 (41 enodes) 3.516 * * [simplify]: iters left: 3 (50 enodes) 3.530 * * [simplify]: Extracting #0: cost 1 inf + 0 3.530 * * [simplify]: Extracting #1: cost 8 inf + 0 3.530 * * [simplify]: Extracting #2: cost 18 inf + 0 3.530 * * [simplify]: Extracting #3: cost 19 inf + 2 3.530 * * [simplify]: Extracting #4: cost 16 inf + 579 3.530 * * [simplify]: Extracting #5: cost 11 inf + 837 3.531 * * [simplify]: Extracting #6: cost 4 inf + 1991 3.532 * * [simplify]: Extracting #7: cost 0 inf + 3203 3.533 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 3.533 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log (* 2 (cos (/ K 2)))) (log J))))) (* (cos (/ K 2)) (* -2 J)))) 3.533 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 3.533 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 3.533 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 3.533 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 3.533 * * [simplify]: iters left: 6 (13 enodes) 3.541 * * [simplify]: iters left: 5 (53 enodes) 3.564 * * [simplify]: iters left: 4 (132 enodes) 3.630 * * [simplify]: iters left: 3 (429 enodes) 3.883 * * [simplify]: Extracting #0: cost 1 inf + 0 3.884 * * [simplify]: Extracting #1: cost 91 inf + 0 3.884 * * [simplify]: Extracting #2: cost 246 inf + 87 3.886 * * [simplify]: Extracting #3: cost 220 inf + 2827 3.890 * * [simplify]: Extracting #4: cost 139 inf + 22133 3.902 * * [simplify]: Extracting #5: cost 13 inf + 55236 3.929 * * [simplify]: Extracting #6: cost 0 inf + 57862 3.944 * * [simplify]: Extracting #7: cost 0 inf + 57822 3.958 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 3.958 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 3.958 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 3.958 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 3.958 * * [simplify]: iters left: 6 (11 enodes) 3.962 * * [simplify]: iters left: 5 (51 enodes) 3.972 * * [simplify]: iters left: 4 (123 enodes) 4.034 * * [simplify]: iters left: 3 (378 enodes) 4.414 * * [simplify]: Extracting #0: cost 1 inf + 0 4.414 * * [simplify]: Extracting #1: cost 70 inf + 0 4.415 * * [simplify]: Extracting #2: cost 183 inf + 248 4.416 * * [simplify]: Extracting #3: cost 165 inf + 2757 4.420 * * [simplify]: Extracting #4: cost 101 inf + 18508 4.431 * * [simplify]: Extracting #5: cost 7 inf + 44227 4.445 * * [simplify]: Extracting #6: cost 0 inf + 45950 4.470 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 4.471 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J))))) (* (cos (/ K 2)) (* -2 J)))) 4.471 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 4.471 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 4.471 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 4.471 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 4.471 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 4.471 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 4.471 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 4.472 * * [simplify]: iters left: 3 (3 enodes) 4.473 * * [simplify]: iters left: 2 (9 enodes) 4.475 * * [simplify]: Extracting #0: cost 1 inf + 0 4.475 * * [simplify]: Extracting #1: cost 3 inf + 0 4.475 * * [simplify]: Extracting #2: cost 5 inf + 0 4.475 * * [simplify]: Extracting #3: cost 4 inf + 1 4.476 * * [simplify]: Extracting #4: cost 0 inf + 405 4.476 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 4.476 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 4.476 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 4.476 * [simplify]: Simplifying (sqrt J) 4.476 * * [simplify]: iters left: 1 (2 enodes) 4.477 * * [simplify]: Extracting #0: cost 1 inf + 0 4.477 * * [simplify]: Extracting #1: cost 3 inf + 0 4.477 * * [simplify]: Extracting #2: cost 2 inf + 1 4.477 * * [simplify]: Extracting #3: cost 0 inf + 83 4.477 * [simplify]: Simplified to (sqrt J) 4.477 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 4.477 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 4.478 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> 4.478 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 4.478 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 4.478 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 4.478 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 4.478 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 4.478 * * [simplify]: iters left: 5 (8 enodes) 4.482 * * [simplify]: iters left: 4 (28 enodes) 4.491 * * [simplify]: iters left: 3 (36 enodes) 4.502 * * [simplify]: iters left: 2 (42 enodes) 4.514 * * [simplify]: Extracting #0: cost 1 inf + 0 4.514 * * [simplify]: Extracting #1: cost 8 inf + 0 4.514 * * [simplify]: Extracting #2: cost 10 inf + 44 4.514 * * [simplify]: Extracting #3: cost 12 inf + 86 4.514 * * [simplify]: Extracting #4: cost 10 inf + 88 4.514 * * [simplify]: Extracting #5: cost 5 inf + 601 4.515 * * [simplify]: Extracting #6: cost 1 inf + 1173 4.515 * * [simplify]: Extracting #7: cost 0 inf + 1316 4.516 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 4.516 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 1))) 4.516 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 4.516 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 4.516 * * [simplify]: iters left: 5 (8 enodes) 4.523 * * [simplify]: iters left: 4 (28 enodes) 4.532 * * [simplify]: iters left: 3 (36 enodes) 4.542 * * [simplify]: iters left: 2 (42 enodes) 4.548 * * [simplify]: Extracting #0: cost 1 inf + 0 4.548 * * [simplify]: Extracting #1: cost 8 inf + 0 4.548 * * [simplify]: Extracting #2: cost 10 inf + 44 4.548 * * [simplify]: Extracting #3: cost 12 inf + 86 4.548 * * [simplify]: Extracting #4: cost 10 inf + 88 4.548 * * [simplify]: Extracting #5: cost 5 inf + 601 4.548 * * [simplify]: Extracting #6: cost 1 inf + 1173 4.549 * * [simplify]: Extracting #7: cost 0 inf + 1316 4.549 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 4.549 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 1))) 4.549 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 4.549 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 4.549 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (+ (log -2) (log J))) 4.549 * * [simplify]: iters left: 6 (11 enodes) 4.552 * * [simplify]: iters left: 5 (37 enodes) 4.558 * * [simplify]: iters left: 4 (45 enodes) 4.565 * * [simplify]: iters left: 3 (51 enodes) 4.572 * * [simplify]: Extracting #0: cost 1 inf + 0 4.572 * * [simplify]: Extracting #1: cost 8 inf + 0 4.572 * * [simplify]: Extracting #2: cost 17 inf + 0 4.572 * * [simplify]: Extracting #3: cost 17 inf + 2 4.572 * * [simplify]: Extracting #4: cost 15 inf + 468 4.572 * * [simplify]: Extracting #5: cost 12 inf + 652 4.572 * * [simplify]: Extracting #6: cost 9 inf + 838 4.573 * * [simplify]: Extracting #7: cost 3 inf + 2466 4.573 * * [simplify]: Extracting #8: cost 0 inf + 3204 4.574 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log J) (log -2))) 4.574 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (cos (/ K 2))) (+ (log J) (log -2)))))) 4.574 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 4.574 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log (* -2 J))) 4.574 * * [simplify]: iters left: 6 (10 enodes) 4.577 * * [simplify]: iters left: 5 (35 enodes) 4.583 * * [simplify]: iters left: 4 (44 enodes) 4.596 * * [simplify]: iters left: 3 (52 enodes) 4.611 * * [simplify]: Extracting #0: cost 1 inf + 0 4.611 * * [simplify]: Extracting #1: cost 8 inf + 0 4.611 * * [simplify]: Extracting #2: cost 18 inf + 0 4.612 * * [simplify]: Extracting #3: cost 16 inf + 186 4.612 * * [simplify]: Extracting #4: cost 14 inf + 594 4.612 * * [simplify]: Extracting #5: cost 12 inf + 596 4.613 * * [simplify]: Extracting #6: cost 5 inf + 1663 4.613 * * [simplify]: Extracting #7: cost 0 inf + 3008 4.614 * [simplify]: Simplified to (+ (log (* -2 J)) (log (cos (/ K 2)))) 4.614 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (* -2 J)) (log (cos (/ K 2))))))) 4.615 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 4.615 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 4.615 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 4.615 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))) 4.615 * * [simplify]: iters left: 6 (14 enodes) 4.625 * * [simplify]: iters left: 5 (57 enodes) 4.648 * * [simplify]: iters left: 4 (130 enodes) 4.682 * * [simplify]: iters left: 3 (367 enodes) 4.958 * * [simplify]: Extracting #0: cost 1 inf + 0 4.958 * * [simplify]: Extracting #1: cost 64 inf + 0 4.959 * * [simplify]: Extracting #2: cost 177 inf + 46 4.961 * * [simplify]: Extracting #3: cost 156 inf + 1970 4.969 * * [simplify]: Extracting #4: cost 75 inf + 21401 4.983 * * [simplify]: Extracting #5: cost 1 inf + 43378 4.992 * * [simplify]: Extracting #6: cost 0 inf + 42761 5.002 * * [simplify]: Extracting #7: cost 0 inf + 42681 5.016 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J)) 5.016 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))))) 5.016 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 5.016 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 5.017 * * [simplify]: iters left: 6 (12 enodes) 5.024 * * [simplify]: iters left: 5 (54 enodes) 5.045 * * [simplify]: iters left: 4 (126 enodes) 5.090 * * [simplify]: iters left: 3 (382 enodes) 5.324 * * [simplify]: Extracting #0: cost 1 inf + 0 5.324 * * [simplify]: Extracting #1: cost 72 inf + 0 5.326 * * [simplify]: Extracting #2: cost 196 inf + 169 5.328 * * [simplify]: Extracting #3: cost 187 inf + 1572 5.338 * * [simplify]: Extracting #4: cost 102 inf + 22796 5.363 * * [simplify]: Extracting #5: cost 1 inf + 50706 5.394 * * [simplify]: Extracting #6: cost 0 inf + 50169 5.414 * * [simplify]: Extracting #7: cost 0 inf + 50089 5.428 * [simplify]: Simplified to (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))) 5.428 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J)))))) 5.428 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 5.428 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 5.428 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 5.428 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 5.428 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 5.428 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 5.428 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 5.428 * * [simplify]: iters left: 6 (6 enodes) 5.430 * * [simplify]: iters left: 5 (18 enodes) 5.433 * * [simplify]: Extracting #0: cost 1 inf + 0 5.433 * * [simplify]: Extracting #1: cost 3 inf + 0 5.433 * * [simplify]: Extracting #2: cost 5 inf + 0 5.433 * * [simplify]: Extracting #3: cost 7 inf + 0 5.433 * * [simplify]: Extracting #4: cost 10 inf + 0 5.433 * * [simplify]: Extracting #5: cost 8 inf + 2 5.433 * * [simplify]: Extracting #6: cost 0 inf + 1098 5.433 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 5.433 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))) 5.433 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 5.434 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 5.434 * * [simplify]: iters left: 4 (5 enodes) 5.435 * * [simplify]: iters left: 3 (15 enodes) 5.437 * * [simplify]: Extracting #0: cost 1 inf + 0 5.437 * * [simplify]: Extracting #1: cost 3 inf + 0 5.437 * * [simplify]: Extracting #2: cost 5 inf + 0 5.437 * * [simplify]: Extracting #3: cost 8 inf + 0 5.437 * * [simplify]: Extracting #4: cost 6 inf + 2 5.437 * * [simplify]: Extracting #5: cost 0 inf + 574 5.438 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 5.438 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 5.438 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 5.438 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 5.438 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 5.438 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 5.438 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 5.438 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 5.438 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 5.438 * [simplify]: Simplifying (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 5.438 * * [simplify]: iters left: 6 (13 enodes) 5.441 * * [simplify]: iters left: 5 (47 enodes) 5.449 * * [simplify]: iters left: 4 (77 enodes) 5.462 * * [simplify]: iters left: 3 (142 enodes) 5.489 * * [simplify]: iters left: 2 (244 enodes) 5.567 * * [simplify]: iters left: 1 (389 enodes) 5.687 * * [simplify]: Extracting #0: cost 1 inf + 0 5.687 * * [simplify]: Extracting #1: cost 43 inf + 0 5.689 * * [simplify]: Extracting #2: cost 85 inf + 0 5.689 * * [simplify]: Extracting #3: cost 78 inf + 509 5.690 * * [simplify]: Extracting #4: cost 62 inf + 3772 5.691 * * [simplify]: Extracting #5: cost 40 inf + 8371 5.695 * * [simplify]: Extracting #6: cost 9 inf + 19264 5.700 * * [simplify]: Extracting #7: cost 0 inf + 22854 5.704 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 5.704 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))))) (* (cos (/ K 2)) (* -2 J)))) 5.704 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 5.704 * [simplify]: Simplifying (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 5.704 * * [simplify]: iters left: 6 (12 enodes) 5.707 * * [simplify]: iters left: 5 (45 enodes) 5.715 * * [simplify]: iters left: 4 (69 enodes) 5.725 * * [simplify]: iters left: 3 (118 enodes) 5.759 * * [simplify]: iters left: 2 (207 enodes) 5.826 * * [simplify]: iters left: 1 (350 enodes) 5.928 * * [simplify]: Extracting #0: cost 1 inf + 0 5.928 * * [simplify]: Extracting #1: cost 41 inf + 0 5.929 * * [simplify]: Extracting #2: cost 80 inf + 0 5.929 * * [simplify]: Extracting #3: cost 70 inf + 1095 5.930 * * [simplify]: Extracting #4: cost 52 inf + 5095 5.931 * * [simplify]: Extracting #5: cost 38 inf + 7394 5.933 * * [simplify]: Extracting #6: cost 16 inf + 14208 5.937 * * [simplify]: Extracting #7: cost 0 inf + 19711 5.941 * [simplify]: Simplified to (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 5.941 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 5.941 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 5.941 * [simplify]: Simplifying (- (log U) (log (* J (* (cos (/ K 2)) 2)))) 5.941 * * [simplify]: iters left: 6 (11 enodes) 5.944 * * [simplify]: iters left: 5 (42 enodes) 5.951 * * [simplify]: iters left: 4 (69 enodes) 5.962 * * [simplify]: iters left: 3 (114 enodes) 5.983 * * [simplify]: iters left: 2 (185 enodes) 6.055 * * [simplify]: iters left: 1 (294 enodes) 6.131 * * [simplify]: Extracting #0: cost 1 inf + 0 6.131 * * [simplify]: Extracting #1: cost 54 inf + 0 6.132 * * [simplify]: Extracting #2: cost 108 inf + 0 6.132 * * [simplify]: Extracting #3: cost 107 inf + 327 6.133 * * [simplify]: Extracting #4: cost 86 inf + 3544 6.134 * * [simplify]: Extracting #5: cost 62 inf + 8359 6.137 * * [simplify]: Extracting #6: cost 21 inf + 20747 6.147 * * [simplify]: Extracting #7: cost 0 inf + 27400 6.155 * * [simplify]: Extracting #8: cost 0 inf + 27050 6.160 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 6.160 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 6.160 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 6.160 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 6.160 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 6.161 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 6.161 * * [simplify]: iters left: 6 (17 enodes) 6.167 * * [simplify]: iters left: 5 (74 enodes) 6.189 * * [simplify]: iters left: 4 (218 enodes) 6.299 * * [simplify]: Extracting #0: cost 1 inf + 0 6.299 * * [simplify]: Extracting #1: cost 173 inf + 0 6.301 * * [simplify]: Extracting #2: cost 367 inf + 2039 6.306 * * [simplify]: Extracting #3: cost 314 inf + 9518 6.323 * * [simplify]: Extracting #4: cost 137 inf + 52354 6.364 * * [simplify]: Extracting #5: cost 2 inf + 91480 6.408 * * [simplify]: Extracting #6: cost 0 inf + 91928 6.435 * [simplify]: Simplified to (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 6.435 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 6.435 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 6.436 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 6.436 * * [simplify]: iters left: 6 (15 enodes) 6.445 * * [simplify]: iters left: 5 (71 enodes) 6.475 * * [simplify]: iters left: 4 (218 enodes) 6.606 * * [simplify]: Extracting #0: cost 1 inf + 0 6.606 * * [simplify]: Extracting #1: cost 159 inf + 0 6.608 * * [simplify]: Extracting #2: cost 369 inf + 1023 6.611 * * [simplify]: Extracting #3: cost 331 inf + 6901 6.620 * * [simplify]: Extracting #4: cost 161 inf + 51690 6.656 * * [simplify]: Extracting #5: cost 6 inf + 97480 6.709 * * [simplify]: Extracting #6: cost 0 inf + 98543 6.758 * [simplify]: Simplified to (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))) 6.758 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 6.759 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 6.759 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 6.759 * * [simplify]: iters left: 6 (13 enodes) 6.767 * * [simplify]: iters left: 5 (61 enodes) 6.794 * * [simplify]: iters left: 4 (231 enodes) 7.006 * * [simplify]: Extracting #0: cost 1 inf + 0 7.006 * * [simplify]: Extracting #1: cost 188 inf + 0 7.009 * * [simplify]: Extracting #2: cost 413 inf + 741 7.012 * * [simplify]: Extracting #3: cost 387 inf + 5457 7.022 * * [simplify]: Extracting #4: cost 186 inf + 57444 7.054 * * [simplify]: Extracting #5: cost 3 inf + 111030 7.105 * * [simplify]: Extracting #6: cost 0 inf + 111016 7.137 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 7.137 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 7.137 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 7.138 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 7.138 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 7.138 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 7.138 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 7.138 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) J) 7.138 * * [simplify]: iters left: 5 (5 enodes) 7.140 * * [simplify]: iters left: 4 (17 enodes) 7.145 * * [simplify]: iters left: 3 (21 enodes) 7.151 * * [simplify]: iters left: 2 (24 enodes) 7.155 * * [simplify]: Extracting #0: cost 1 inf + 0 7.155 * * [simplify]: Extracting #1: cost 7 inf + 0 7.155 * * [simplify]: Extracting #2: cost 11 inf + 1 7.156 * * [simplify]: Extracting #3: cost 10 inf + 2 7.156 * * [simplify]: Extracting #4: cost 0 inf + 1218 7.156 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) J) 7.156 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 7.156 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) 2)) 7.156 * * [simplify]: iters left: 6 (8 enodes) 7.159 * * [simplify]: iters left: 5 (27 enodes) 7.163 * * [simplify]: iters left: 4 (31 enodes) 7.167 * * [simplify]: iters left: 3 (33 enodes) 7.172 * * [simplify]: Extracting #0: cost 1 inf + 0 7.172 * * [simplify]: Extracting #1: cost 8 inf + 0 7.172 * * [simplify]: Extracting #2: cost 14 inf + 1 7.172 * * [simplify]: Extracting #3: cost 15 inf + 2 7.172 * * [simplify]: Extracting #4: cost 10 inf + 270 7.172 * * [simplify]: Extracting #5: cost 1 inf + 1690 7.172 * * [simplify]: Extracting #6: cost 0 inf + 1953 7.173 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) 2) 7.173 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (/ (cbrt U) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (* -2 J)))) 7.173 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 7.173 * [simplify]: Simplifying (/ (sqrt U) J) 7.173 * * [simplify]: iters left: 3 (4 enodes) 7.174 * * [simplify]: iters left: 2 (12 enodes) 7.175 * * [simplify]: Extracting #0: cost 1 inf + 0 7.175 * * [simplify]: Extracting #1: cost 4 inf + 0 7.175 * * [simplify]: Extracting #2: cost 5 inf + 1 7.175 * * [simplify]: Extracting #3: cost 4 inf + 2 7.176 * * [simplify]: Extracting #4: cost 0 inf + 248 7.176 * [simplify]: Simplified to (/ (sqrt U) J) 7.176 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 7.176 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) 2)) 7.176 * * [simplify]: iters left: 6 (8 enodes) 7.178 * * [simplify]: iters left: 5 (27 enodes) 7.182 * * [simplify]: iters left: 4 (31 enodes) 7.187 * * [simplify]: iters left: 3 (33 enodes) 7.191 * * [simplify]: Extracting #0: cost 1 inf + 0 7.191 * * [simplify]: Extracting #1: cost 8 inf + 0 7.191 * * [simplify]: Extracting #2: cost 14 inf + 1 7.191 * * [simplify]: Extracting #3: cost 15 inf + 2 7.192 * * [simplify]: Extracting #4: cost 10 inf + 230 7.192 * * [simplify]: Extracting #5: cost 1 inf + 1410 7.192 * * [simplify]: Extracting #6: cost 0 inf + 1633 7.192 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) 2) 7.192 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (* -2 J)))) 7.192 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 7.192 * [simplify]: Simplifying (/ 1 J) 7.193 * * [simplify]: iters left: 2 (3 enodes) 7.194 * * [simplify]: iters left: 1 (11 enodes) 7.198 * * [simplify]: Extracting #0: cost 1 inf + 0 7.198 * * [simplify]: Extracting #1: cost 4 inf + 0 7.198 * * [simplify]: Extracting #2: cost 2 inf + 2 7.198 * * [simplify]: Extracting #3: cost 0 inf + 86 7.198 * [simplify]: Simplified to (/ 1 J) 7.198 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ U (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 7.198 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) 2)) 7.199 * * [simplify]: iters left: 6 (7 enodes) 7.202 * * [simplify]: iters left: 5 (24 enodes) 7.209 * * [simplify]: iters left: 4 (28 enodes) 7.219 * * [simplify]: iters left: 3 (30 enodes) 7.227 * * [simplify]: Extracting #0: cost 1 inf + 0 7.227 * * [simplify]: Extracting #1: cost 8 inf + 0 7.227 * * [simplify]: Extracting #2: cost 11 inf + 2 7.227 * * [simplify]: Extracting #3: cost 11 inf + 86 7.227 * * [simplify]: Extracting #4: cost 8 inf + 171 7.228 * * [simplify]: Extracting #5: cost 2 inf + 986 7.228 * * [simplify]: Extracting #6: cost 0 inf + 1311 7.229 * [simplify]: Simplified to (/ (/ U 2) (cos (/ K 2))) 7.229 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ (/ U 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 7.229 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 7.229 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 7.229 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 7.229 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 7.229 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 7.229 * * [simplify]: iters left: 5 (5 enodes) 7.232 * * [simplify]: iters left: 4 (16 enodes) 7.237 * * [simplify]: Extracting #0: cost 1 inf + 0 7.237 * * [simplify]: Extracting #1: cost 4 inf + 0 7.237 * * [simplify]: Extracting #2: cost 5 inf + 1 7.237 * * [simplify]: Extracting #3: cost 7 inf + 1 7.237 * * [simplify]: Extracting #4: cost 6 inf + 2 7.238 * * [simplify]: Extracting #5: cost 0 inf + 574 7.238 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 7.238 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))) 7.238 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 7.238 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 7.238 * * [simplify]: iters left: 3 (3 enodes) 7.240 * * [simplify]: iters left: 2 (9 enodes) 7.242 * * [simplify]: Extracting #0: cost 1 inf + 0 7.242 * * [simplify]: Extracting #1: cost 3 inf + 0 7.242 * * [simplify]: Extracting #2: cost 5 inf + 0 7.242 * * [simplify]: Extracting #3: cost 4 inf + 1 7.243 * * [simplify]: Extracting #4: cost 0 inf + 405 7.243 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 7.243 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)))) (* (cos (/ K 2)) (* -2 J)))) 7.243 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 7.243 * [simplify]: Simplifying (sqrt U) 7.243 * * [simplify]: iters left: 1 (2 enodes) 7.244 * * [simplify]: Extracting #0: cost 1 inf + 0 7.244 * * [simplify]: Extracting #1: cost 3 inf + 0 7.244 * * [simplify]: Extracting #2: cost 2 inf + 1 7.244 * * [simplify]: Extracting #3: cost 0 inf + 83 7.244 * [simplify]: Simplified to (sqrt U) 7.244 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (sqrt U) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)))) (* (cos (/ K 2)) (* -2 J)))) 7.244 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 7.245 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> 7.245 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 7.245 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 7.245 * * [simplify]: iters left: 6 (10 enodes) 7.251 * * [simplify]: iters left: 5 (44 enodes) 7.267 * * [simplify]: iters left: 4 (83 enodes) 7.292 * * [simplify]: iters left: 3 (132 enodes) 7.329 * * [simplify]: iters left: 2 (186 enodes) 7.394 * * [simplify]: iters left: 1 (263 enodes) 7.478 * * [simplify]: Extracting #0: cost 1 inf + 0 7.478 * * [simplify]: Extracting #1: cost 23 inf + 0 7.479 * * [simplify]: Extracting #2: cost 44 inf + 89 7.482 * * [simplify]: Extracting #3: cost 21 inf + 2920 7.485 * * [simplify]: Extracting #4: cost 0 inf + 4598 7.488 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 7.488 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 7.488 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 7.489 * [simplify]: Simplifying (* -1 U) 7.489 * * [simplify]: iters left: 2 (3 enodes) 7.491 * * [simplify]: iters left: 1 (11 enodes) 7.494 * * [simplify]: Extracting #0: cost 1 inf + 0 7.494 * * [simplify]: Extracting #1: cost 4 inf + 0 7.494 * * [simplify]: Extracting #2: cost 0 inf + 84 7.494 * [simplify]: Simplified to (- U) 7.494 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 7.494 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 7.494 * [simplify]: Simplifying (* -1 U) 7.495 * * [simplify]: iters left: 2 (3 enodes) 7.496 * * [simplify]: iters left: 1 (11 enodes) 7.499 * * [simplify]: Extracting #0: cost 1 inf + 0 7.499 * * [simplify]: Extracting #1: cost 4 inf + 0 7.499 * * [simplify]: Extracting #2: cost 0 inf + 84 7.499 * [simplify]: Simplified to (- U) 7.500 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 7.500 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 7.500 * [simplify]: Simplifying (* 2 J) 7.500 * * [simplify]: iters left: 2 (3 enodes) 7.502 * * [simplify]: iters left: 1 (10 enodes) 7.504 * * [simplify]: Extracting #0: cost 1 inf + 0 7.504 * * [simplify]: Extracting #1: cost 4 inf + 0 7.504 * * [simplify]: Extracting #2: cost 2 inf + 2 7.505 * * [simplify]: Extracting #3: cost 0 inf + 86 7.505 * [simplify]: Simplified to (* 2 J) 7.505 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* 2 J))) (* (cos (/ K 2)) (* -2 J)))) 7.505 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 7.505 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 7.505 * * [simplify]: iters left: 6 (8 enodes) 7.510 * * [simplify]: iters left: 5 (29 enodes) 7.519 * * [simplify]: iters left: 4 (37 enodes) 7.529 * * [simplify]: iters left: 3 (42 enodes) 7.540 * * [simplify]: Extracting #0: cost 1 inf + 0 7.541 * * [simplify]: Extracting #1: cost 8 inf + 0 7.541 * * [simplify]: Extracting #2: cost 11 inf + 2 7.541 * * [simplify]: Extracting #3: cost 13 inf + 44 7.541 * * [simplify]: Extracting #4: cost 9 inf + 130 7.541 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.542 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.543 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 7.543 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (cos (/ K 2)) (* -2 J)))) 7.543 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 7.543 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 7.543 * * [simplify]: iters left: 6 (8 enodes) 7.548 * * [simplify]: iters left: 5 (29 enodes) 7.556 * * [simplify]: iters left: 4 (37 enodes) 7.568 * * [simplify]: iters left: 3 (42 enodes) 7.578 * * [simplify]: Extracting #0: cost 1 inf + 0 7.579 * * [simplify]: Extracting #1: cost 8 inf + 0 7.579 * * [simplify]: Extracting #2: cost 11 inf + 2 7.579 * * [simplify]: Extracting #3: cost 13 inf + 44 7.579 * * [simplify]: Extracting #4: cost 9 inf + 130 7.579 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.580 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.580 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 7.580 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (cos (/ K 2)) (* -2 J)))) 7.580 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 7.581 * [simplify]: Simplifying (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 7.581 * * [simplify]: iters left: 6 (9 enodes) 7.586 * * [simplify]: iters left: 5 (40 enodes) 7.600 * * [simplify]: iters left: 4 (72 enodes) 7.624 * * [simplify]: iters left: 3 (117 enodes) 7.650 * * [simplify]: iters left: 2 (134 enodes) 7.666 * * [simplify]: iters left: 1 (136 enodes) 7.680 * * [simplify]: Extracting #0: cost 1 inf + 0 7.680 * * [simplify]: Extracting #1: cost 19 inf + 0 7.680 * * [simplify]: Extracting #2: cost 20 inf + 295 7.681 * * [simplify]: Extracting #3: cost 1 inf + 1761 7.682 * * [simplify]: Extracting #4: cost 0 inf + 1803 7.682 * [simplify]: Simplified to (* J (fma 1/4 (* K K) -2)) 7.682 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* J (fma 1/4 (* K K) -2)))) 7.682 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 7.683 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 7.683 * * [simplify]: iters left: 6 (8 enodes) 7.685 * * [simplify]: iters left: 5 (29 enodes) 7.689 * * [simplify]: iters left: 4 (37 enodes) 7.694 * * [simplify]: iters left: 3 (42 enodes) 7.703 * * [simplify]: Extracting #0: cost 1 inf + 0 7.703 * * [simplify]: Extracting #1: cost 8 inf + 0 7.703 * * [simplify]: Extracting #2: cost 11 inf + 2 7.703 * * [simplify]: Extracting #3: cost 13 inf + 44 7.703 * * [simplify]: Extracting #4: cost 9 inf + 130 7.703 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.706 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.706 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 7.706 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 7.707 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 7.707 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 7.707 * * [simplify]: iters left: 6 (8 enodes) 7.712 * * [simplify]: iters left: 5 (29 enodes) 7.721 * * [simplify]: iters left: 4 (37 enodes) 7.729 * * [simplify]: iters left: 3 (42 enodes) 7.734 * * [simplify]: Extracting #0: cost 1 inf + 0 7.734 * * [simplify]: Extracting #1: cost 8 inf + 0 7.734 * * [simplify]: Extracting #2: cost 11 inf + 2 7.734 * * [simplify]: Extracting #3: cost 13 inf + 44 7.734 * * [simplify]: Extracting #4: cost 9 inf + 130 7.735 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.735 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.735 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 7.735 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 7.735 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 7.736 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 7.736 * * [simplify]: iters left: 6 (13 enodes) 7.740 * * [simplify]: iters left: 5 (55 enodes) 7.750 * * [simplify]: iters left: 4 (92 enodes) 7.771 * * [simplify]: iters left: 3 (155 enodes) 7.803 * * [simplify]: iters left: 2 (238 enodes) 7.868 * * [simplify]: iters left: 1 (367 enodes) 8.039 * * [simplify]: Extracting #0: cost 1 inf + 0 8.039 * * [simplify]: Extracting #1: cost 33 inf + 0 8.039 * * [simplify]: Extracting #2: cost 65 inf + 129 8.040 * * [simplify]: Extracting #3: cost 50 inf + 2235 8.042 * * [simplify]: Extracting #4: cost 4 inf + 6690 8.045 * * [simplify]: Extracting #5: cost 0 inf + 7294 8.047 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 8.047 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (* (cos (/ K 2)) (* -2 J)))) 8.047 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 8.047 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.047 * * [simplify]: iters left: 6 (9 enodes) 8.050 * * [simplify]: iters left: 5 (34 enodes) 8.055 * * [simplify]: iters left: 4 (56 enodes) 8.065 * * [simplify]: iters left: 3 (90 enodes) 8.092 * * [simplify]: iters left: 2 (114 enodes) 8.126 * * [simplify]: iters left: 1 (131 enodes) 8.162 * * [simplify]: Extracting #0: cost 1 inf + 0 8.163 * * [simplify]: Extracting #1: cost 22 inf + 0 8.163 * * [simplify]: Extracting #2: cost 37 inf + 3 8.163 * * [simplify]: Extracting #3: cost 31 inf + 380 8.164 * * [simplify]: Extracting #4: cost 17 inf + 1834 8.166 * * [simplify]: Extracting #5: cost 3 inf + 4117 8.168 * * [simplify]: Extracting #6: cost 0 inf + 4586 8.170 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 8.170 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 8.170 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 8.170 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.171 * * [simplify]: iters left: 6 (9 enodes) 8.175 * * [simplify]: iters left: 5 (34 enodes) 8.186 * * [simplify]: iters left: 4 (56 enodes) 8.199 * * [simplify]: iters left: 3 (90 enodes) 8.213 * * [simplify]: iters left: 2 (114 enodes) 8.233 * * [simplify]: iters left: 1 (131 enodes) 8.269 * * [simplify]: Extracting #0: cost 1 inf + 0 8.269 * * [simplify]: Extracting #1: cost 22 inf + 0 8.269 * * [simplify]: Extracting #2: cost 37 inf + 3 8.269 * * [simplify]: Extracting #3: cost 31 inf + 380 8.270 * * [simplify]: Extracting #4: cost 17 inf + 1834 8.272 * * [simplify]: Extracting #5: cost 3 inf + 4117 8.274 * * [simplify]: Extracting #6: cost 0 inf + 4586 8.276 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 8.276 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 8.276 * * * [progress]: adding candidates to table 9.532 * * [progress]: iteration 2 / 4 9.532 * * * [progress]: picking best candidate 9.605 * * * * [pick]: Picked # 9.605 * * * [progress]: localizing error 9.657 * * * [progress]: generating rewritten candidates 9.657 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.713 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 9.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 9.767 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.783 * * * [progress]: generating series expansions 9.784 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.784 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 9.784 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 9.784 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 9.784 * [taylor]: Taking taylor expansion of -2 in K 9.784 * [backup-simplify]: Simplify -2 into -2 9.784 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 9.784 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.784 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.784 * [taylor]: Taking taylor expansion of 1/2 in K 9.784 * [backup-simplify]: Simplify 1/2 into 1/2 9.784 * [taylor]: Taking taylor expansion of K in K 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.785 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.786 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.786 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 9.786 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 9.786 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.786 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 9.786 * [taylor]: Taking taylor expansion of (* 1 1) in K 9.786 * [taylor]: Taking taylor expansion of 1 in K 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of 1 in K 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 9.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 9.786 * [taylor]: Taking taylor expansion of 1/2 in K 9.786 * [backup-simplify]: Simplify 1/2 into 1/2 9.786 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 9.786 * [taylor]: Taking taylor expansion of U in K 9.786 * [backup-simplify]: Simplify U into U 9.786 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.786 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.786 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.786 * [taylor]: Taking taylor expansion of 1/2 in K 9.787 * [backup-simplify]: Simplify 1/2 into 1/2 9.787 * [taylor]: Taking taylor expansion of K in K 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.788 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.788 * [taylor]: Taking taylor expansion of J in K 9.788 * [backup-simplify]: Simplify J into J 9.788 * [backup-simplify]: Simplify (* 1 J) into J 9.788 * [backup-simplify]: Simplify (/ U J) into (/ U J) 9.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 9.788 * [taylor]: Taking taylor expansion of 1/2 in K 9.788 * [backup-simplify]: Simplify 1/2 into 1/2 9.788 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 9.788 * [taylor]: Taking taylor expansion of U in K 9.788 * [backup-simplify]: Simplify U into U 9.788 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.788 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.788 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.788 * [taylor]: Taking taylor expansion of 1/2 in K 9.788 * [backup-simplify]: Simplify 1/2 into 1/2 9.788 * [taylor]: Taking taylor expansion of K in K 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.789 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.790 * [taylor]: Taking taylor expansion of J in K 9.790 * [backup-simplify]: Simplify J into J 9.790 * [backup-simplify]: Simplify (* 1 J) into J 9.790 * [backup-simplify]: Simplify (/ U J) into (/ U J) 9.790 * [backup-simplify]: Simplify (* 1 1) into 1 9.790 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 9.790 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 9.791 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.791 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.791 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.792 * [backup-simplify]: Simplify (+ 0) into 0 9.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.793 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 9.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 9.794 * [backup-simplify]: Simplify (+ 0) into 0 9.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.794 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 9.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 9.795 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 9.796 * [backup-simplify]: Simplify (+ 0 0) into 0 9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.796 * [taylor]: Taking taylor expansion of J in K 9.796 * [backup-simplify]: Simplify J into J 9.796 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 9.796 * [taylor]: Taking taylor expansion of -2 in J 9.796 * [backup-simplify]: Simplify -2 into -2 9.796 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 9.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.796 * [taylor]: Taking taylor expansion of 1/2 in J 9.796 * [backup-simplify]: Simplify 1/2 into 1/2 9.796 * [taylor]: Taking taylor expansion of K in J 9.796 * [backup-simplify]: Simplify K into K 9.796 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.796 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.796 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.796 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 9.796 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 9.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.797 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 9.797 * [taylor]: Taking taylor expansion of (* 1 1) in J 9.797 * [taylor]: Taking taylor expansion of 1 in J 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [taylor]: Taking taylor expansion of 1 in J 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 9.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 9.797 * [taylor]: Taking taylor expansion of 1/2 in J 9.797 * [backup-simplify]: Simplify 1/2 into 1/2 9.797 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 9.797 * [taylor]: Taking taylor expansion of U in J 9.797 * [backup-simplify]: Simplify U into U 9.797 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.797 * [taylor]: Taking taylor expansion of 1/2 in J 9.797 * [backup-simplify]: Simplify 1/2 into 1/2 9.797 * [taylor]: Taking taylor expansion of K in J 9.797 * [backup-simplify]: Simplify K into K 9.797 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.797 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.797 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.797 * [taylor]: Taking taylor expansion of J in J 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.797 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.798 * [backup-simplify]: Simplify (- 0) into 0 9.798 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.799 * [backup-simplify]: Simplify (+ 0) into 0 9.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.801 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.802 * [backup-simplify]: Simplify (- 0) into 0 9.802 * [backup-simplify]: Simplify (+ 0 0) into 0 9.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.803 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 9.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 9.803 * [taylor]: Taking taylor expansion of 1/2 in J 9.803 * [backup-simplify]: Simplify 1/2 into 1/2 9.803 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 9.803 * [taylor]: Taking taylor expansion of U in J 9.803 * [backup-simplify]: Simplify U into U 9.803 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.803 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.803 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.803 * [taylor]: Taking taylor expansion of 1/2 in J 9.803 * [backup-simplify]: Simplify 1/2 into 1/2 9.803 * [taylor]: Taking taylor expansion of K in J 9.803 * [backup-simplify]: Simplify K into K 9.803 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.803 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.803 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.803 * [taylor]: Taking taylor expansion of J in J 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.804 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.804 * [backup-simplify]: Simplify (- 0) into 0 9.804 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.804 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.805 * [backup-simplify]: Simplify (+ 0) into 0 9.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.810 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.811 * [backup-simplify]: Simplify (- 0) into 0 9.811 * [backup-simplify]: Simplify (+ 0 0) into 0 9.812 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.812 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 9.812 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.812 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.812 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 9.813 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 9.813 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.816 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.817 * [backup-simplify]: Simplify (- 0) into 0 9.817 * [backup-simplify]: Simplify (+ 0 0) into 0 9.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.818 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 9.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 9.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.822 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.822 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.822 * [backup-simplify]: Simplify (- 0) into 0 9.823 * [backup-simplify]: Simplify (+ 0 0) into 0 9.823 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.824 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 9.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 9.824 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 9.825 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.825 * [taylor]: Taking taylor expansion of J in J 9.826 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify 1 into 1 9.826 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 9.826 * [taylor]: Taking taylor expansion of -2 in U 9.826 * [backup-simplify]: Simplify -2 into -2 9.826 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 9.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.826 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.826 * [taylor]: Taking taylor expansion of 1/2 in U 9.826 * [backup-simplify]: Simplify 1/2 into 1/2 9.826 * [taylor]: Taking taylor expansion of K in U 9.826 * [backup-simplify]: Simplify K into K 9.826 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.827 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.827 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.827 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 9.827 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.827 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 9.827 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.827 * [taylor]: Taking taylor expansion of 1 in U 9.827 * [backup-simplify]: Simplify 1 into 1 9.827 * [taylor]: Taking taylor expansion of 1 in U 9.827 * [backup-simplify]: Simplify 1 into 1 9.827 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.827 * [taylor]: Taking taylor expansion of 1/2 in U 9.827 * [backup-simplify]: Simplify 1/2 into 1/2 9.827 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.827 * [taylor]: Taking taylor expansion of U in U 9.827 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify 1 into 1 9.827 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.827 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.827 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.827 * [taylor]: Taking taylor expansion of 1/2 in U 9.827 * [backup-simplify]: Simplify 1/2 into 1/2 9.827 * [taylor]: Taking taylor expansion of K in U 9.827 * [backup-simplify]: Simplify K into K 9.827 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.828 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.828 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.828 * [taylor]: Taking taylor expansion of J in U 9.828 * [backup-simplify]: Simplify J into J 9.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.828 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.828 * [backup-simplify]: Simplify (- 0) into 0 9.829 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.829 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.829 * [taylor]: Taking taylor expansion of 1/2 in U 9.829 * [backup-simplify]: Simplify 1/2 into 1/2 9.829 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.829 * [taylor]: Taking taylor expansion of U in U 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify 1 into 1 9.829 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.829 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.829 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.829 * [taylor]: Taking taylor expansion of 1/2 in U 9.829 * [backup-simplify]: Simplify 1/2 into 1/2 9.829 * [taylor]: Taking taylor expansion of K in U 9.829 * [backup-simplify]: Simplify K into K 9.829 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.829 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.829 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.829 * [taylor]: Taking taylor expansion of J in U 9.829 * [backup-simplify]: Simplify J into J 9.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.830 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.830 * [backup-simplify]: Simplify (- 0) into 0 9.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.830 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.831 * [backup-simplify]: Simplify (* 1 1) into 1 9.831 * [backup-simplify]: Simplify (+ 1 0) into 1 9.832 * [backup-simplify]: Simplify (sqrt 1) into 1 9.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.833 * [backup-simplify]: Simplify (+ 0 0) into 0 9.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.833 * [taylor]: Taking taylor expansion of J in U 9.834 * [backup-simplify]: Simplify J into J 9.834 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 9.834 * [taylor]: Taking taylor expansion of -2 in U 9.834 * [backup-simplify]: Simplify -2 into -2 9.834 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 9.834 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.834 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.834 * [taylor]: Taking taylor expansion of 1/2 in U 9.834 * [backup-simplify]: Simplify 1/2 into 1/2 9.834 * [taylor]: Taking taylor expansion of K in U 9.834 * [backup-simplify]: Simplify K into K 9.834 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.834 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.834 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.834 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 9.834 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.834 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 9.834 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.834 * [taylor]: Taking taylor expansion of 1 in U 9.834 * [backup-simplify]: Simplify 1 into 1 9.834 * [taylor]: Taking taylor expansion of 1 in U 9.834 * [backup-simplify]: Simplify 1 into 1 9.834 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.834 * [taylor]: Taking taylor expansion of 1/2 in U 9.834 * [backup-simplify]: Simplify 1/2 into 1/2 9.834 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.835 * [taylor]: Taking taylor expansion of U in U 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify 1 into 1 9.835 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.835 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.835 * [taylor]: Taking taylor expansion of 1/2 in U 9.835 * [backup-simplify]: Simplify 1/2 into 1/2 9.835 * [taylor]: Taking taylor expansion of K in U 9.835 * [backup-simplify]: Simplify K into K 9.835 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.835 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.835 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.835 * [taylor]: Taking taylor expansion of J in U 9.835 * [backup-simplify]: Simplify J into J 9.835 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.835 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.836 * [backup-simplify]: Simplify (- 0) into 0 9.836 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.836 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.836 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.836 * [taylor]: Taking taylor expansion of 1/2 in U 9.836 * [backup-simplify]: Simplify 1/2 into 1/2 9.836 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.836 * [taylor]: Taking taylor expansion of U in U 9.836 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify 1 into 1 9.836 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.836 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.836 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.836 * [taylor]: Taking taylor expansion of 1/2 in U 9.836 * [backup-simplify]: Simplify 1/2 into 1/2 9.836 * [taylor]: Taking taylor expansion of K in U 9.836 * [backup-simplify]: Simplify K into K 9.836 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.836 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.837 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.837 * [taylor]: Taking taylor expansion of J in U 9.837 * [backup-simplify]: Simplify J into J 9.837 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.837 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.837 * [backup-simplify]: Simplify (- 0) into 0 9.837 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.837 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.837 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.838 * [backup-simplify]: Simplify (* 1 1) into 1 9.838 * [backup-simplify]: Simplify (+ 1 0) into 1 9.838 * [backup-simplify]: Simplify (sqrt 1) into 1 9.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.839 * [backup-simplify]: Simplify (+ 0 0) into 0 9.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.839 * [taylor]: Taking taylor expansion of J in U 9.839 * [backup-simplify]: Simplify J into J 9.839 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.839 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.839 * [backup-simplify]: Simplify (- 0) into 0 9.840 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.840 * [backup-simplify]: Simplify (* 1 J) into J 9.840 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.840 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 9.840 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 9.840 * [taylor]: Taking taylor expansion of -2 in J 9.840 * [backup-simplify]: Simplify -2 into -2 9.840 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.840 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.840 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.840 * [taylor]: Taking taylor expansion of 1/2 in J 9.840 * [backup-simplify]: Simplify 1/2 into 1/2 9.840 * [taylor]: Taking taylor expansion of K in J 9.840 * [backup-simplify]: Simplify K into K 9.840 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.840 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.840 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.840 * [taylor]: Taking taylor expansion of J in J 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.840 * [backup-simplify]: Simplify (+ 0) into 0 9.841 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.842 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.842 * [backup-simplify]: Simplify (- 0) into 0 9.842 * [backup-simplify]: Simplify (+ 0 0) into 0 9.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.843 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 9.843 * [taylor]: Taking taylor expansion of 0 in J 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.843 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.843 * [backup-simplify]: Simplify (- 0) into 0 9.843 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.843 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.843 * [backup-simplify]: Simplify (* -2 0) into 0 9.843 * [taylor]: Taking taylor expansion of 0 in K 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.844 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 9.844 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 9.844 * [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))) 9.844 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.845 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 9.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.847 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.848 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.848 * [backup-simplify]: Simplify (- 0) into 0 9.849 * [backup-simplify]: Simplify (+ 0 0) into 0 9.849 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 9.849 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 9.849 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 9.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 9.849 * [taylor]: Taking taylor expansion of 1/4 in J 9.849 * [backup-simplify]: Simplify 1/4 into 1/4 9.849 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 9.850 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.850 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.850 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.850 * [taylor]: Taking taylor expansion of 1/2 in J 9.850 * [backup-simplify]: Simplify 1/2 into 1/2 9.850 * [taylor]: Taking taylor expansion of K in J 9.850 * [backup-simplify]: Simplify K into K 9.850 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.850 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.850 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.850 * [taylor]: Taking taylor expansion of J in J 9.850 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.850 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.850 * [backup-simplify]: Simplify (- 0) into 0 9.850 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.850 * [backup-simplify]: Simplify (+ 0) into 0 9.851 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.852 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.852 * [backup-simplify]: Simplify (- 0) into 0 9.852 * [backup-simplify]: Simplify (+ 0 0) into 0 9.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.853 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 9.853 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 9.853 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 9.853 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 9.853 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 9.853 * [taylor]: Taking taylor expansion of 1/4 in K 9.853 * [backup-simplify]: Simplify 1/4 into 1/4 9.853 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 9.853 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.853 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.853 * [taylor]: Taking taylor expansion of 1/2 in K 9.853 * [backup-simplify]: Simplify 1/2 into 1/2 9.853 * [taylor]: Taking taylor expansion of K in K 9.853 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify 1 into 1 9.853 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.853 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.854 * [backup-simplify]: Simplify (/ 1 1) into 1 9.854 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.854 * [backup-simplify]: Simplify (- 1/4) into -1/4 9.854 * [backup-simplify]: Simplify -1/4 into -1/4 9.854 * [taylor]: Taking taylor expansion of 0 in K 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 0 into 0 9.855 * [backup-simplify]: Simplify (+ 0) into 0 9.855 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.856 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.856 * [backup-simplify]: Simplify (- 0) into 0 9.856 * [backup-simplify]: Simplify (+ 0 0) into 0 9.857 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.857 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 9.857 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 9.857 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 9.857 * [taylor]: Taking taylor expansion of 2 in K 9.857 * [backup-simplify]: Simplify 2 into 2 9.857 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.857 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.857 * [taylor]: Taking taylor expansion of 1/2 in K 9.857 * [backup-simplify]: Simplify 1/2 into 1/2 9.857 * [taylor]: Taking taylor expansion of K in K 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.858 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.858 * [backup-simplify]: Simplify (* 2 1) into 2 9.858 * [backup-simplify]: Simplify (- 2) into -2 9.858 * [backup-simplify]: Simplify -2 into -2 9.858 * [backup-simplify]: Simplify 0 into 0 9.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.859 * [backup-simplify]: Simplify (+ 0) into 0 9.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.861 * [backup-simplify]: Simplify (- 0) into 0 9.861 * [backup-simplify]: Simplify (+ 0 0) into 0 9.861 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.861 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 9.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 9.862 * [backup-simplify]: Simplify (+ 0) into 0 9.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.863 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.864 * [backup-simplify]: Simplify (- 0) into 0 9.864 * [backup-simplify]: Simplify (+ 0 0) into 0 9.864 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.864 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 9.865 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 9.865 * [backup-simplify]: Simplify (+ 0 0) into 0 9.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 9.867 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.868 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 9.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.872 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.872 * [backup-simplify]: Simplify (- 0) into 0 9.872 * [backup-simplify]: Simplify (+ 0 0) into 0 9.873 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 9.874 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 9.874 * [taylor]: Taking taylor expansion of 0 in J 9.874 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.876 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.878 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.878 * [backup-simplify]: Simplify (- 0) into 0 9.879 * [backup-simplify]: Simplify (+ 0 0) into 0 9.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 9.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 9.880 * [backup-simplify]: Simplify (- 0) into 0 9.880 * [taylor]: Taking taylor expansion of 0 in K 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [taylor]: Taking taylor expansion of 0 in K 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.882 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.884 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.884 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.885 * [backup-simplify]: Simplify (- 0) into 0 9.885 * [backup-simplify]: Simplify (+ 0 0) into 0 9.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.886 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 9.887 * [taylor]: Taking taylor expansion of 0 in K 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify (+ 0) into 0 9.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.889 * [backup-simplify]: Simplify (- 0) into 0 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 9.890 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 9.890 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 9.890 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 9.890 * [taylor]: Taking taylor expansion of -2 in K 9.890 * [backup-simplify]: Simplify -2 into -2 9.890 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 9.890 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 9.890 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 9.890 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.890 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 9.890 * [taylor]: Taking taylor expansion of (* 1 1) in K 9.890 * [taylor]: Taking taylor expansion of 1 in K 9.890 * [backup-simplify]: Simplify 1 into 1 9.890 * [taylor]: Taking taylor expansion of 1 in K 9.890 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 9.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 9.891 * [taylor]: Taking taylor expansion of 1/2 in K 9.891 * [backup-simplify]: Simplify 1/2 into 1/2 9.891 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 9.891 * [taylor]: Taking taylor expansion of J in K 9.891 * [backup-simplify]: Simplify J into J 9.891 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 9.891 * [taylor]: Taking taylor expansion of U in K 9.891 * [backup-simplify]: Simplify U into U 9.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.891 * [taylor]: Taking taylor expansion of 1/2 in K 9.891 * [backup-simplify]: Simplify 1/2 into 1/2 9.891 * [taylor]: Taking taylor expansion of K in K 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.892 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.892 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.892 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.892 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 9.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 9.892 * [taylor]: Taking taylor expansion of 1/2 in K 9.892 * [backup-simplify]: Simplify 1/2 into 1/2 9.892 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 9.892 * [taylor]: Taking taylor expansion of J in K 9.892 * [backup-simplify]: Simplify J into J 9.892 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 9.892 * [taylor]: Taking taylor expansion of U in K 9.892 * [backup-simplify]: Simplify U into U 9.892 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.892 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.892 * [taylor]: Taking taylor expansion of 1/2 in K 9.892 * [backup-simplify]: Simplify 1/2 into 1/2 9.892 * [taylor]: Taking taylor expansion of K in K 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.893 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.893 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.893 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 9.894 * [backup-simplify]: Simplify (* 1 1) into 1 9.894 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 9.894 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 9.894 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 9.895 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 9.895 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.896 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 9.896 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 9.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 9.897 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 9.898 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 9.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 9.899 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 9.899 * [backup-simplify]: Simplify (+ 0 0) into 0 9.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.899 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.899 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.900 * [taylor]: Taking taylor expansion of 1/2 in K 9.900 * [backup-simplify]: Simplify 1/2 into 1/2 9.900 * [taylor]: Taking taylor expansion of K in K 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.900 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.900 * [taylor]: Taking taylor expansion of J in K 9.900 * [backup-simplify]: Simplify J into J 9.901 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 9.901 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 9.901 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 9.901 * [taylor]: Taking taylor expansion of -2 in J 9.901 * [backup-simplify]: Simplify -2 into -2 9.901 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 9.901 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 9.901 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 9.901 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.902 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 9.902 * [taylor]: Taking taylor expansion of (* 1 1) in J 9.902 * [taylor]: Taking taylor expansion of 1 in J 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [taylor]: Taking taylor expansion of 1 in J 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 9.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 9.902 * [taylor]: Taking taylor expansion of 1/2 in J 9.902 * [backup-simplify]: Simplify 1/2 into 1/2 9.902 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 9.902 * [taylor]: Taking taylor expansion of J in J 9.902 * [backup-simplify]: Simplify 0 into 0 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 9.902 * [taylor]: Taking taylor expansion of U in J 9.902 * [backup-simplify]: Simplify U into U 9.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.902 * [taylor]: Taking taylor expansion of 1/2 in J 9.902 * [backup-simplify]: Simplify 1/2 into 1/2 9.902 * [taylor]: Taking taylor expansion of K in J 9.902 * [backup-simplify]: Simplify K into K 9.902 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.903 * [backup-simplify]: Simplify (- 0) into 0 9.903 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.903 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.903 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 9.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 9.903 * [taylor]: Taking taylor expansion of 1/2 in J 9.903 * [backup-simplify]: Simplify 1/2 into 1/2 9.903 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 9.903 * [taylor]: Taking taylor expansion of J in J 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 9.904 * [taylor]: Taking taylor expansion of U in J 9.904 * [backup-simplify]: Simplify U into U 9.904 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.904 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.904 * [taylor]: Taking taylor expansion of 1/2 in J 9.904 * [backup-simplify]: Simplify 1/2 into 1/2 9.904 * [taylor]: Taking taylor expansion of K in J 9.904 * [backup-simplify]: Simplify K into K 9.904 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.904 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.904 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.904 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.904 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.905 * [backup-simplify]: Simplify (- 0) into 0 9.905 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.905 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.905 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 9.905 * [backup-simplify]: Simplify (* 1 1) into 1 9.906 * [backup-simplify]: Simplify (+ 1 0) into 1 9.906 * [backup-simplify]: Simplify (sqrt 1) into 1 9.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.907 * [backup-simplify]: Simplify (+ 0 0) into 0 9.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.908 * [taylor]: Taking taylor expansion of 1/2 in J 9.908 * [backup-simplify]: Simplify 1/2 into 1/2 9.908 * [taylor]: Taking taylor expansion of K in J 9.908 * [backup-simplify]: Simplify K into K 9.908 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.908 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.908 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.908 * [taylor]: Taking taylor expansion of J in J 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.908 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.909 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.909 * [backup-simplify]: Simplify (- 0) into 0 9.909 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.909 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 9.909 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.909 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 9.909 * [taylor]: Taking taylor expansion of -2 in U 9.909 * [backup-simplify]: Simplify -2 into -2 9.909 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 9.909 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 9.909 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.909 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.909 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 9.910 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.910 * [taylor]: Taking taylor expansion of 1 in U 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [taylor]: Taking taylor expansion of 1 in U 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.910 * [taylor]: Taking taylor expansion of 1/2 in U 9.910 * [backup-simplify]: Simplify 1/2 into 1/2 9.910 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.910 * [taylor]: Taking taylor expansion of J in U 9.910 * [backup-simplify]: Simplify J into J 9.910 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.910 * [taylor]: Taking taylor expansion of U in U 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.910 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.910 * [taylor]: Taking taylor expansion of 1/2 in U 9.910 * [backup-simplify]: Simplify 1/2 into 1/2 9.910 * [taylor]: Taking taylor expansion of K in U 9.910 * [backup-simplify]: Simplify K into K 9.910 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.910 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.910 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.910 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.910 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.911 * [backup-simplify]: Simplify (- 0) into 0 9.911 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.911 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.912 * [backup-simplify]: Simplify (+ 0) into 0 9.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.914 * [backup-simplify]: Simplify (- 0) into 0 9.914 * [backup-simplify]: Simplify (+ 0 0) into 0 9.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.915 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.915 * [taylor]: Taking taylor expansion of 1/2 in U 9.915 * [backup-simplify]: Simplify 1/2 into 1/2 9.915 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.915 * [taylor]: Taking taylor expansion of J in U 9.915 * [backup-simplify]: Simplify J into J 9.915 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.915 * [taylor]: Taking taylor expansion of U in U 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.915 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.915 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.915 * [taylor]: Taking taylor expansion of 1/2 in U 9.915 * [backup-simplify]: Simplify 1/2 into 1/2 9.915 * [taylor]: Taking taylor expansion of K in U 9.915 * [backup-simplify]: Simplify K into K 9.915 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.916 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.916 * [backup-simplify]: Simplify (- 0) into 0 9.916 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.917 * [backup-simplify]: Simplify (+ 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.919 * [backup-simplify]: Simplify (- 0) into 0 9.919 * [backup-simplify]: Simplify (+ 0 0) into 0 9.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.920 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.920 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.920 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.920 * [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))) 9.921 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.921 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.924 * [backup-simplify]: Simplify (- 0) into 0 9.925 * [backup-simplify]: Simplify (+ 0 0) into 0 9.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.930 * [backup-simplify]: Simplify (- 0) into 0 9.930 * [backup-simplify]: Simplify (+ 0 0) into 0 9.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.931 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.932 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.933 * [backup-simplify]: Simplify (+ 0 0) into 0 9.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.933 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.933 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.933 * [taylor]: Taking taylor expansion of 1/2 in U 9.933 * [backup-simplify]: Simplify 1/2 into 1/2 9.933 * [taylor]: Taking taylor expansion of K in U 9.933 * [backup-simplify]: Simplify K into K 9.933 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.933 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.933 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.933 * [taylor]: Taking taylor expansion of J in U 9.933 * [backup-simplify]: Simplify J into J 9.933 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.933 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.934 * [backup-simplify]: Simplify (- 0) into 0 9.934 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.934 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 9.934 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 9.934 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 9.934 * [taylor]: Taking taylor expansion of -2 in U 9.934 * [backup-simplify]: Simplify -2 into -2 9.934 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 9.934 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 9.934 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.934 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.934 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 9.934 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.934 * [taylor]: Taking taylor expansion of 1 in U 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of 1 in U 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.935 * [taylor]: Taking taylor expansion of 1/2 in U 9.935 * [backup-simplify]: Simplify 1/2 into 1/2 9.935 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.935 * [taylor]: Taking taylor expansion of J in U 9.935 * [backup-simplify]: Simplify J into J 9.935 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.935 * [taylor]: Taking taylor expansion of U in U 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.935 * [taylor]: Taking taylor expansion of 1/2 in U 9.935 * [backup-simplify]: Simplify 1/2 into 1/2 9.935 * [taylor]: Taking taylor expansion of K in U 9.935 * [backup-simplify]: Simplify K into K 9.935 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.935 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.935 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.935 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.936 * [backup-simplify]: Simplify (- 0) into 0 9.936 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.936 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.936 * [backup-simplify]: Simplify (+ 0) into 0 9.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.939 * [backup-simplify]: Simplify (- 0) into 0 9.941 * [backup-simplify]: Simplify (+ 0 0) into 0 9.941 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.942 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.942 * [taylor]: Taking taylor expansion of 1/2 in U 9.942 * [backup-simplify]: Simplify 1/2 into 1/2 9.942 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.942 * [taylor]: Taking taylor expansion of J in U 9.942 * [backup-simplify]: Simplify J into J 9.942 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.942 * [taylor]: Taking taylor expansion of U in U 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify 1 into 1 9.942 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.942 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.942 * [taylor]: Taking taylor expansion of 1/2 in U 9.942 * [backup-simplify]: Simplify 1/2 into 1/2 9.942 * [taylor]: Taking taylor expansion of K in U 9.942 * [backup-simplify]: Simplify K into K 9.942 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.942 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.942 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.942 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.942 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.943 * [backup-simplify]: Simplify (- 0) into 0 9.943 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.943 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.943 * [backup-simplify]: Simplify (+ 0) into 0 9.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.945 * [backup-simplify]: Simplify (- 0) into 0 9.946 * [backup-simplify]: Simplify (+ 0 0) into 0 9.946 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.946 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.946 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.947 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.947 * [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))) 9.947 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.947 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.949 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.951 * [backup-simplify]: Simplify (- 0) into 0 9.951 * [backup-simplify]: Simplify (+ 0 0) into 0 9.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.952 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.955 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.956 * [backup-simplify]: Simplify (- 0) into 0 9.957 * [backup-simplify]: Simplify (+ 0 0) into 0 9.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.958 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.959 * [backup-simplify]: Simplify (+ 0 0) into 0 9.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.959 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.959 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.959 * [taylor]: Taking taylor expansion of 1/2 in U 9.959 * [backup-simplify]: Simplify 1/2 into 1/2 9.959 * [taylor]: Taking taylor expansion of K in U 9.959 * [backup-simplify]: Simplify K into K 9.959 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.959 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.960 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.960 * [taylor]: Taking taylor expansion of J in U 9.960 * [backup-simplify]: Simplify J into J 9.960 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.960 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.960 * [backup-simplify]: Simplify (- 0) into 0 9.960 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.960 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 9.961 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 9.961 * [backup-simplify]: Simplify (* -2 1/2) into -1 9.961 * [taylor]: Taking taylor expansion of -1 in J 9.961 * [backup-simplify]: Simplify -1 into -1 9.961 * [backup-simplify]: Simplify (+ 0) into 0 9.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.962 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.964 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.964 * [backup-simplify]: Simplify (- 0) into 0 9.965 * [backup-simplify]: Simplify (+ 0 0) into 0 9.965 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.965 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 9.965 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 9.965 * [taylor]: Taking taylor expansion of 0 in J 9.965 * [backup-simplify]: Simplify 0 into 0 9.965 * [taylor]: Taking taylor expansion of -1 in K 9.965 * [backup-simplify]: Simplify -1 into -1 9.965 * [backup-simplify]: Simplify -1 into -1 9.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.967 * [backup-simplify]: Simplify (- 0) into 0 9.968 * [backup-simplify]: Simplify (+ 0 0) into 0 9.968 * [backup-simplify]: Simplify (* 1 1) into 1 9.968 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.969 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.969 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.971 * [backup-simplify]: Simplify (- 0) into 0 9.971 * [backup-simplify]: Simplify (+ 0 0) into 0 9.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.972 * [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 9.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 9.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.973 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.975 * [backup-simplify]: Simplify (- 0) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.976 * [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 9.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 9.977 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 9.977 * [backup-simplify]: Simplify (+ 1 0) into 1 9.978 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.978 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 9.979 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 9.979 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 9.979 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 9.979 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 9.979 * [taylor]: Taking taylor expansion of 2 in J 9.979 * [backup-simplify]: Simplify 2 into 2 9.979 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 9.979 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.979 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.979 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.979 * [taylor]: Taking taylor expansion of 1/2 in J 9.979 * [backup-simplify]: Simplify 1/2 into 1/2 9.979 * [taylor]: Taking taylor expansion of K in J 9.979 * [backup-simplify]: Simplify K into K 9.979 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.979 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.979 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.979 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.980 * [backup-simplify]: Simplify (- 0) into 0 9.980 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.980 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.980 * [taylor]: Taking taylor expansion of J in J 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 1 into 1 9.980 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.980 * [backup-simplify]: Simplify (* 1 1) into 1 9.980 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 9.980 * [backup-simplify]: Simplify (+ 0) into 0 9.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.981 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.982 * [backup-simplify]: Simplify (- 0) into 0 9.982 * [backup-simplify]: Simplify (+ 0 0) into 0 9.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.984 * [backup-simplify]: Simplify (- 0) into 0 9.984 * [taylor]: Taking taylor expansion of 0 in K 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [taylor]: Taking taylor expansion of 0 in K 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [taylor]: Taking taylor expansion of 0 in K 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.987 * [backup-simplify]: Simplify (- 0) into 0 9.987 * [backup-simplify]: Simplify (+ 0 0) into 0 9.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.989 * [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 9.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.990 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 9.991 * [backup-simplify]: Simplify (- 0) into 0 9.991 * [backup-simplify]: Simplify (+ 0 0) into 0 9.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 9.992 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 9.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 9.995 * [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 9.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.000 * [backup-simplify]: Simplify (- 0) into 0 10.001 * [backup-simplify]: Simplify (+ 0 0) into 0 10.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 10.003 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 10.005 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.006 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.007 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 10.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.008 * [taylor]: Taking taylor expansion of 0 in J 10.008 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.010 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.012 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.012 * [backup-simplify]: Simplify (- 0) into 0 10.013 * [backup-simplify]: Simplify (+ 0 0) into 0 10.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.017 * [backup-simplify]: Simplify (- 0) into 0 10.017 * [taylor]: Taking taylor expansion of 0 in K 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [taylor]: Taking taylor expansion of 0 in K 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 10.018 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 10.018 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 10.018 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 10.018 * [taylor]: Taking taylor expansion of 2 in K 10.018 * [backup-simplify]: Simplify 2 into 2 10.018 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 10.018 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.018 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.018 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.018 * [taylor]: Taking taylor expansion of -1/2 in K 10.018 * [backup-simplify]: Simplify -1/2 into -1/2 10.018 * [taylor]: Taking taylor expansion of K in K 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.019 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.019 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.019 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.019 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.019 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.019 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.019 * [taylor]: Taking taylor expansion of 1 in K 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [taylor]: Taking taylor expansion of 1 in K 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.019 * [taylor]: Taking taylor expansion of 1/2 in K 10.019 * [backup-simplify]: Simplify 1/2 into 1/2 10.019 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.019 * [taylor]: Taking taylor expansion of J in K 10.019 * [backup-simplify]: Simplify J into J 10.019 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.019 * [taylor]: Taking taylor expansion of -1/2 in K 10.019 * [backup-simplify]: Simplify -1/2 into -1/2 10.019 * [taylor]: Taking taylor expansion of K in K 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 1 into 1 10.020 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.020 * [taylor]: Taking taylor expansion of U in K 10.020 * [backup-simplify]: Simplify U into U 10.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.020 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.020 * [taylor]: Taking taylor expansion of 1/2 in K 10.020 * [backup-simplify]: Simplify 1/2 into 1/2 10.021 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.021 * [taylor]: Taking taylor expansion of J in K 10.021 * [backup-simplify]: Simplify J into J 10.021 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.021 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.021 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.021 * [taylor]: Taking taylor expansion of -1/2 in K 10.021 * [backup-simplify]: Simplify -1/2 into -1/2 10.021 * [taylor]: Taking taylor expansion of K in K 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.021 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.021 * [taylor]: Taking taylor expansion of U in K 10.021 * [backup-simplify]: Simplify U into U 10.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.022 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.022 * [backup-simplify]: Simplify (* 1 1) into 1 10.022 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.022 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.022 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.023 * [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))))) 10.023 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.024 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.025 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.025 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 10.025 * [backup-simplify]: Simplify (+ 0 0) into 0 10.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.026 * [taylor]: Taking taylor expansion of J in K 10.026 * [backup-simplify]: Simplify J into J 10.026 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.026 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.026 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 10.026 * [taylor]: Taking taylor expansion of 2 in J 10.026 * [backup-simplify]: Simplify 2 into 2 10.026 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 10.026 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.026 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.026 * [taylor]: Taking taylor expansion of -1/2 in J 10.026 * [backup-simplify]: Simplify -1/2 into -1/2 10.026 * [taylor]: Taking taylor expansion of K in J 10.026 * [backup-simplify]: Simplify K into K 10.026 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.026 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.027 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.027 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.027 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.027 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.027 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.027 * [taylor]: Taking taylor expansion of 1 in J 10.027 * [backup-simplify]: Simplify 1 into 1 10.027 * [taylor]: Taking taylor expansion of 1 in J 10.027 * [backup-simplify]: Simplify 1 into 1 10.027 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.027 * [taylor]: Taking taylor expansion of 1/2 in J 10.027 * [backup-simplify]: Simplify 1/2 into 1/2 10.027 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.027 * [taylor]: Taking taylor expansion of J in J 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 1 into 1 10.027 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.027 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.027 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.027 * [taylor]: Taking taylor expansion of -1/2 in J 10.027 * [backup-simplify]: Simplify -1/2 into -1/2 10.027 * [taylor]: Taking taylor expansion of K in J 10.027 * [backup-simplify]: Simplify K into K 10.027 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.027 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.027 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.027 * [taylor]: Taking taylor expansion of U in J 10.027 * [backup-simplify]: Simplify U into U 10.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.027 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.028 * [backup-simplify]: Simplify (- 0) into 0 10.028 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.028 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.028 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.028 * [taylor]: Taking taylor expansion of 1/2 in J 10.028 * [backup-simplify]: Simplify 1/2 into 1/2 10.028 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.028 * [taylor]: Taking taylor expansion of J in J 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 1 into 1 10.028 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.028 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.028 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.028 * [taylor]: Taking taylor expansion of -1/2 in J 10.028 * [backup-simplify]: Simplify -1/2 into -1/2 10.028 * [taylor]: Taking taylor expansion of K in J 10.028 * [backup-simplify]: Simplify K into K 10.028 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.028 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.028 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.028 * [taylor]: Taking taylor expansion of U in J 10.028 * [backup-simplify]: Simplify U into U 10.028 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.028 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.028 * [backup-simplify]: Simplify (- 0) into 0 10.029 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.029 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.029 * [backup-simplify]: Simplify (* 1 1) into 1 10.029 * [backup-simplify]: Simplify (+ 1 0) into 1 10.029 * [backup-simplify]: Simplify (sqrt 1) into 1 10.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.030 * [backup-simplify]: Simplify (+ 0 0) into 0 10.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.030 * [taylor]: Taking taylor expansion of J in J 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.031 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.031 * [backup-simplify]: Simplify (- 0) into 0 10.031 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.031 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.031 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.031 * [taylor]: Taking taylor expansion of 2 in U 10.031 * [backup-simplify]: Simplify 2 into 2 10.031 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.031 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.031 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.031 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.031 * [taylor]: Taking taylor expansion of -1/2 in U 10.031 * [backup-simplify]: Simplify -1/2 into -1/2 10.031 * [taylor]: Taking taylor expansion of K in U 10.031 * [backup-simplify]: Simplify K into K 10.031 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.031 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.031 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.031 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.031 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.031 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.031 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.031 * [taylor]: Taking taylor expansion of 1 in U 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [taylor]: Taking taylor expansion of 1 in U 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.031 * [taylor]: Taking taylor expansion of 1/2 in U 10.031 * [backup-simplify]: Simplify 1/2 into 1/2 10.032 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.032 * [taylor]: Taking taylor expansion of J in U 10.032 * [backup-simplify]: Simplify J into J 10.032 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.032 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.032 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.032 * [taylor]: Taking taylor expansion of -1/2 in U 10.032 * [backup-simplify]: Simplify -1/2 into -1/2 10.032 * [taylor]: Taking taylor expansion of K in U 10.032 * [backup-simplify]: Simplify K into K 10.032 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.032 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.032 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.032 * [taylor]: Taking taylor expansion of U in U 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.032 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.032 * [backup-simplify]: Simplify (- 0) into 0 10.032 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.032 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.033 * [backup-simplify]: Simplify (+ 0) into 0 10.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.034 * [backup-simplify]: Simplify (- 0) into 0 10.034 * [backup-simplify]: Simplify (+ 0 0) into 0 10.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.034 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.034 * [taylor]: Taking taylor expansion of 1/2 in U 10.035 * [backup-simplify]: Simplify 1/2 into 1/2 10.035 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.035 * [taylor]: Taking taylor expansion of J in U 10.035 * [backup-simplify]: Simplify J into J 10.035 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.035 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.035 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.035 * [taylor]: Taking taylor expansion of -1/2 in U 10.035 * [backup-simplify]: Simplify -1/2 into -1/2 10.035 * [taylor]: Taking taylor expansion of K in U 10.035 * [backup-simplify]: Simplify K into K 10.035 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.035 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.035 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.035 * [taylor]: Taking taylor expansion of U in U 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.035 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.035 * [backup-simplify]: Simplify (- 0) into 0 10.035 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.035 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.036 * [backup-simplify]: Simplify (+ 0) into 0 10.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.037 * [backup-simplify]: Simplify (- 0) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.038 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.038 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.038 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.038 * [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))) 10.038 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.038 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.040 * [backup-simplify]: Simplify (- 0) into 0 10.041 * [backup-simplify]: Simplify (+ 0 0) into 0 10.041 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.041 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.044 * [backup-simplify]: Simplify (- 0) into 0 10.044 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.045 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.045 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.046 * [backup-simplify]: Simplify (+ 0 0) into 0 10.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.046 * [taylor]: Taking taylor expansion of J in U 10.046 * [backup-simplify]: Simplify J into J 10.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.046 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.046 * [backup-simplify]: Simplify (- 0) into 0 10.046 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.046 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.046 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.047 * [taylor]: Taking taylor expansion of 2 in U 10.047 * [backup-simplify]: Simplify 2 into 2 10.047 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.047 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.047 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.047 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.047 * [taylor]: Taking taylor expansion of -1/2 in U 10.047 * [backup-simplify]: Simplify -1/2 into -1/2 10.047 * [taylor]: Taking taylor expansion of K in U 10.047 * [backup-simplify]: Simplify K into K 10.047 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.047 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.047 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.047 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.047 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.047 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.047 * [taylor]: Taking taylor expansion of 1 in U 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [taylor]: Taking taylor expansion of 1 in U 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.047 * [taylor]: Taking taylor expansion of 1/2 in U 10.047 * [backup-simplify]: Simplify 1/2 into 1/2 10.047 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.047 * [taylor]: Taking taylor expansion of J in U 10.047 * [backup-simplify]: Simplify J into J 10.047 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.047 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.047 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.047 * [taylor]: Taking taylor expansion of -1/2 in U 10.047 * [backup-simplify]: Simplify -1/2 into -1/2 10.047 * [taylor]: Taking taylor expansion of K in U 10.047 * [backup-simplify]: Simplify K into K 10.047 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.047 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.047 * [taylor]: Taking taylor expansion of U in U 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.047 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.048 * [backup-simplify]: Simplify (- 0) into 0 10.048 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.048 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.048 * [backup-simplify]: Simplify (+ 0) into 0 10.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.048 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.049 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.049 * [backup-simplify]: Simplify (- 0) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.051 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.051 * [taylor]: Taking taylor expansion of 1/2 in U 10.051 * [backup-simplify]: Simplify 1/2 into 1/2 10.051 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.052 * [taylor]: Taking taylor expansion of J in U 10.052 * [backup-simplify]: Simplify J into J 10.052 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.052 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.052 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.052 * [taylor]: Taking taylor expansion of -1/2 in U 10.052 * [backup-simplify]: Simplify -1/2 into -1/2 10.052 * [taylor]: Taking taylor expansion of K in U 10.052 * [backup-simplify]: Simplify K into K 10.052 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.052 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.052 * [taylor]: Taking taylor expansion of U in U 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.052 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.052 * [backup-simplify]: Simplify (- 0) into 0 10.052 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.052 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.053 * [backup-simplify]: Simplify (+ 0) into 0 10.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.054 * [backup-simplify]: Simplify (- 0) into 0 10.054 * [backup-simplify]: Simplify (+ 0 0) into 0 10.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.055 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.055 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.055 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.055 * [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))) 10.055 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.055 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.056 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.057 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.057 * [backup-simplify]: Simplify (- 0) into 0 10.058 * [backup-simplify]: Simplify (+ 0 0) into 0 10.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.059 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.061 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.063 * [backup-simplify]: Simplify (- 0) into 0 10.063 * [backup-simplify]: Simplify (+ 0 0) into 0 10.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.064 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.065 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.065 * [backup-simplify]: Simplify (+ 0 0) into 0 10.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.066 * [taylor]: Taking taylor expansion of J in U 10.066 * [backup-simplify]: Simplify J into J 10.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.066 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.066 * [backup-simplify]: Simplify (- 0) into 0 10.066 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.067 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.067 * [backup-simplify]: Simplify (* 2 1/2) into 1 10.067 * [taylor]: Taking taylor expansion of 1 in J 10.067 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (+ 0) into 0 10.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.070 * [backup-simplify]: Simplify (- 0) into 0 10.070 * [backup-simplify]: Simplify (+ 0 0) into 0 10.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.070 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 10.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 10.071 * [taylor]: Taking taylor expansion of 0 in J 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [taylor]: Taking taylor expansion of 1 in K 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [backup-simplify]: Simplify 1 into 1 10.072 * [backup-simplify]: Simplify (* 1 1) into 1 10.073 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.073 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.076 * [backup-simplify]: Simplify (- 0) into 0 10.077 * [backup-simplify]: Simplify (+ 0 0) into 0 10.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.078 * [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 10.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.079 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.084 * [backup-simplify]: Simplify (- 0) into 0 10.084 * [backup-simplify]: Simplify (+ 0 0) into 0 10.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.085 * [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 10.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.087 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 10.087 * [backup-simplify]: Simplify (+ 1 0) into 1 10.088 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.090 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.091 * [backup-simplify]: Simplify (- 0) into 0 10.092 * [backup-simplify]: Simplify (+ 0 0) into 0 10.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 10.093 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 10.093 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.094 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 10.094 * [taylor]: Taking taylor expansion of 2 in J 10.094 * [backup-simplify]: Simplify 2 into 2 10.094 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 10.094 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.094 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.094 * [taylor]: Taking taylor expansion of -1/2 in J 10.094 * [backup-simplify]: Simplify -1/2 into -1/2 10.094 * [taylor]: Taking taylor expansion of K in J 10.094 * [backup-simplify]: Simplify K into K 10.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.094 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.095 * [backup-simplify]: Simplify (- 0) into 0 10.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.095 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.095 * [taylor]: Taking taylor expansion of J in J 10.095 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify 1 into 1 10.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.095 * [backup-simplify]: Simplify (* 1 1) into 1 10.096 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.096 * [backup-simplify]: Simplify (+ 0) into 0 10.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 10.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 10.101 * [taylor]: Taking taylor expansion of 0 in K 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [taylor]: Taking taylor expansion of 0 in K 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [taylor]: Taking taylor expansion of 0 in K 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.104 * [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 10.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.107 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.108 * [backup-simplify]: Simplify (- 0) into 0 10.108 * [backup-simplify]: Simplify (+ 0 0) into 0 10.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.109 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.113 * [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 10.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.116 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.117 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.117 * [backup-simplify]: Simplify (- 0) into 0 10.118 * [backup-simplify]: Simplify (+ 0 0) into 0 10.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.119 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.121 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 10.122 * [backup-simplify]: Simplify (+ 0 0) into 0 10.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.123 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.126 * [backup-simplify]: Simplify (- 0) into 0 10.127 * [backup-simplify]: Simplify (+ 0 0) into 0 10.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 10.128 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 10.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.129 * [taylor]: Taking taylor expansion of 0 in J 10.129 * [backup-simplify]: Simplify 0 into 0 10.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.131 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.132 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.133 * [backup-simplify]: Simplify (- 0) into 0 10.133 * [backup-simplify]: Simplify (+ 0 0) into 0 10.134 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 10.137 * [taylor]: Taking taylor expansion of 0 in K 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [taylor]: Taking taylor expansion of 0 in K 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 10.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 10.137 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 10.138 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 10.138 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 10.138 * [taylor]: Taking taylor expansion of 2 in K 10.138 * [backup-simplify]: Simplify 2 into 2 10.138 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.138 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.138 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.138 * [taylor]: Taking taylor expansion of 1/2 in K 10.138 * [backup-simplify]: Simplify 1/2 into 1/2 10.138 * [taylor]: Taking taylor expansion of K in K 10.138 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify 1 into 1 10.138 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.139 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.139 * [taylor]: Taking taylor expansion of J in K 10.139 * [backup-simplify]: Simplify J into J 10.139 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.139 * [taylor]: Taking taylor expansion of 2 in J 10.139 * [backup-simplify]: Simplify 2 into 2 10.139 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.139 * [taylor]: Taking taylor expansion of 1/2 in J 10.139 * [backup-simplify]: Simplify 1/2 into 1/2 10.139 * [taylor]: Taking taylor expansion of K in J 10.139 * [backup-simplify]: Simplify K into K 10.139 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.139 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.139 * [taylor]: Taking taylor expansion of J in J 10.139 * [backup-simplify]: Simplify 0 into 0 10.139 * [backup-simplify]: Simplify 1 into 1 10.140 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.140 * [taylor]: Taking taylor expansion of 2 in J 10.140 * [backup-simplify]: Simplify 2 into 2 10.140 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.140 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.140 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.140 * [taylor]: Taking taylor expansion of 1/2 in J 10.140 * [backup-simplify]: Simplify 1/2 into 1/2 10.140 * [taylor]: Taking taylor expansion of K in J 10.140 * [backup-simplify]: Simplify K into K 10.140 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.140 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.140 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.140 * [taylor]: Taking taylor expansion of J in J 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.140 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.141 * [backup-simplify]: Simplify (- 0) into 0 10.141 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.141 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.141 * [backup-simplify]: Simplify (* 2 0) into 0 10.141 * [taylor]: Taking taylor expansion of 0 in K 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify (+ 0) into 0 10.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.144 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.144 * [backup-simplify]: Simplify (- 0) into 0 10.145 * [backup-simplify]: Simplify (+ 0 0) into 0 10.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.146 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 10.146 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 10.146 * [taylor]: Taking taylor expansion of 2 in K 10.146 * [backup-simplify]: Simplify 2 into 2 10.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.146 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.146 * [taylor]: Taking taylor expansion of 1/2 in K 10.146 * [backup-simplify]: Simplify 1/2 into 1/2 10.146 * [taylor]: Taking taylor expansion of K in K 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.146 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.147 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.147 * [backup-simplify]: Simplify (* 2 1) into 2 10.148 * [backup-simplify]: Simplify 2 into 2 10.148 * [backup-simplify]: Simplify 0 into 0 10.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.151 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.152 * [backup-simplify]: Simplify (- 0) into 0 10.152 * [backup-simplify]: Simplify (+ 0 0) into 0 10.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 10.153 * [taylor]: Taking taylor expansion of 0 in K 10.153 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify (+ 0) into 0 10.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.155 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.156 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.160 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.160 * [backup-simplify]: Simplify (- 0) into 0 10.160 * [backup-simplify]: Simplify (+ 0 0) into 0 10.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 10.163 * [taylor]: Taking taylor expansion of 0 in K 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 10.163 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 10.163 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 10.163 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 10.163 * [taylor]: Taking taylor expansion of 2 in K 10.163 * [backup-simplify]: Simplify 2 into 2 10.163 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.163 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.163 * [taylor]: Taking taylor expansion of 1/2 in K 10.163 * [backup-simplify]: Simplify 1/2 into 1/2 10.163 * [taylor]: Taking taylor expansion of K in K 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 1 into 1 10.164 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.164 * [taylor]: Taking taylor expansion of J in K 10.164 * [backup-simplify]: Simplify J into J 10.164 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.164 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.164 * [taylor]: Taking taylor expansion of 2 in J 10.164 * [backup-simplify]: Simplify 2 into 2 10.164 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.164 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.164 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.164 * [taylor]: Taking taylor expansion of 1/2 in J 10.164 * [backup-simplify]: Simplify 1/2 into 1/2 10.164 * [taylor]: Taking taylor expansion of K in J 10.164 * [backup-simplify]: Simplify K into K 10.164 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.164 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.165 * [taylor]: Taking taylor expansion of J in J 10.165 * [backup-simplify]: Simplify 0 into 0 10.165 * [backup-simplify]: Simplify 1 into 1 10.165 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.165 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.165 * [backup-simplify]: Simplify (- 0) into 0 10.165 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.165 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.165 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.165 * [taylor]: Taking taylor expansion of 2 in J 10.165 * [backup-simplify]: Simplify 2 into 2 10.165 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.165 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.165 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.166 * [taylor]: Taking taylor expansion of 1/2 in J 10.166 * [backup-simplify]: Simplify 1/2 into 1/2 10.166 * [taylor]: Taking taylor expansion of K in J 10.166 * [backup-simplify]: Simplify K into K 10.166 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.166 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.166 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.166 * [taylor]: Taking taylor expansion of J in J 10.166 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify 1 into 1 10.166 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.166 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.166 * [backup-simplify]: Simplify (- 0) into 0 10.167 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.167 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.167 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.167 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 10.167 * [taylor]: Taking taylor expansion of 2 in K 10.167 * [backup-simplify]: Simplify 2 into 2 10.167 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.167 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.167 * [taylor]: Taking taylor expansion of 1/2 in K 10.167 * [backup-simplify]: Simplify 1/2 into 1/2 10.167 * [taylor]: Taking taylor expansion of K in K 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify 1 into 1 10.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.168 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.168 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.168 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.168 * [backup-simplify]: Simplify (+ 0) into 0 10.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.170 * [backup-simplify]: Simplify (- 0) into 0 10.170 * [backup-simplify]: Simplify (+ 0 0) into 0 10.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.171 * [taylor]: Taking taylor expansion of 0 in K 10.171 * [backup-simplify]: Simplify 0 into 0 10.171 * [backup-simplify]: Simplify 0 into 0 10.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.171 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.173 * [backup-simplify]: Simplify (- 0) into 0 10.174 * [backup-simplify]: Simplify (+ 0 0) into 0 10.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.175 * [taylor]: Taking taylor expansion of 0 in K 10.175 * [backup-simplify]: Simplify 0 into 0 10.175 * [backup-simplify]: Simplify 0 into 0 10.175 * [backup-simplify]: Simplify 0 into 0 10.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.176 * [backup-simplify]: Simplify 0 into 0 10.176 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.178 * [backup-simplify]: Simplify (- 0) into 0 10.179 * [backup-simplify]: Simplify (+ 0 0) into 0 10.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.182 * [taylor]: Taking taylor expansion of 0 in K 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 10.183 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 10.183 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 10.183 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 10.183 * [taylor]: Taking taylor expansion of -2 in K 10.183 * [backup-simplify]: Simplify -2 into -2 10.183 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.183 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.183 * [taylor]: Taking taylor expansion of -1/2 in K 10.183 * [backup-simplify]: Simplify -1/2 into -1/2 10.183 * [taylor]: Taking taylor expansion of K in K 10.183 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify 1 into 1 10.183 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.183 * [taylor]: Taking taylor expansion of J in K 10.183 * [backup-simplify]: Simplify J into J 10.183 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.183 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.183 * [taylor]: Taking taylor expansion of -2 in J 10.183 * [backup-simplify]: Simplify -2 into -2 10.183 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.183 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.183 * [taylor]: Taking taylor expansion of -1/2 in J 10.183 * [backup-simplify]: Simplify -1/2 into -1/2 10.183 * [taylor]: Taking taylor expansion of K in J 10.183 * [backup-simplify]: Simplify K into K 10.183 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.183 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.183 * [taylor]: Taking taylor expansion of J in J 10.183 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.184 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.184 * [backup-simplify]: Simplify (- 0) into 0 10.184 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.184 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.184 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.184 * [taylor]: Taking taylor expansion of -2 in J 10.184 * [backup-simplify]: Simplify -2 into -2 10.184 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.184 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.184 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.184 * [taylor]: Taking taylor expansion of -1/2 in J 10.184 * [backup-simplify]: Simplify -1/2 into -1/2 10.184 * [taylor]: Taking taylor expansion of K in J 10.184 * [backup-simplify]: Simplify K into K 10.184 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.184 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.184 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.184 * [taylor]: Taking taylor expansion of J in J 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.184 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.185 * [backup-simplify]: Simplify (- 0) into 0 10.185 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.185 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.185 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.185 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 10.185 * [taylor]: Taking taylor expansion of -2 in K 10.185 * [backup-simplify]: Simplify -2 into -2 10.185 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.185 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.185 * [taylor]: Taking taylor expansion of -1/2 in K 10.185 * [backup-simplify]: Simplify -1/2 into -1/2 10.185 * [taylor]: Taking taylor expansion of K in K 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 1 into 1 10.185 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.185 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.185 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.185 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.186 * [backup-simplify]: Simplify (+ 0) into 0 10.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.187 * [backup-simplify]: Simplify (- 0) into 0 10.187 * [backup-simplify]: Simplify (+ 0 0) into 0 10.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.188 * [taylor]: Taking taylor expansion of 0 in K 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.189 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.189 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.193 * [backup-simplify]: Simplify (- 0) into 0 10.193 * [backup-simplify]: Simplify (+ 0 0) into 0 10.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.196 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.196 * [taylor]: Taking taylor expansion of 0 in K 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.202 * [backup-simplify]: Simplify (- 0) into 0 10.202 * [backup-simplify]: Simplify (+ 0 0) into 0 10.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.205 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.205 * [taylor]: Taking taylor expansion of 0 in K 10.205 * [backup-simplify]: Simplify 0 into 0 10.205 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 10.206 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 10.206 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.206 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 10.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.206 * [taylor]: Taking taylor expansion of 1/2 in K 10.206 * [backup-simplify]: Simplify 1/2 into 1/2 10.206 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.206 * [taylor]: Taking taylor expansion of U in K 10.206 * [backup-simplify]: Simplify U into U 10.206 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.206 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.206 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.206 * [taylor]: Taking taylor expansion of 1/2 in K 10.206 * [backup-simplify]: Simplify 1/2 into 1/2 10.206 * [taylor]: Taking taylor expansion of K in K 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.207 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.207 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.207 * [taylor]: Taking taylor expansion of J in K 10.207 * [backup-simplify]: Simplify J into J 10.207 * [backup-simplify]: Simplify (* 1 J) into J 10.208 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.208 * [taylor]: Taking taylor expansion of 1/2 in J 10.208 * [backup-simplify]: Simplify 1/2 into 1/2 10.208 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.208 * [taylor]: Taking taylor expansion of U in J 10.208 * [backup-simplify]: Simplify U into U 10.208 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.208 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.208 * [taylor]: Taking taylor expansion of 1/2 in J 10.208 * [backup-simplify]: Simplify 1/2 into 1/2 10.208 * [taylor]: Taking taylor expansion of K in J 10.208 * [backup-simplify]: Simplify K into K 10.208 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.208 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.208 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.208 * [taylor]: Taking taylor expansion of J in J 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.208 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.209 * [backup-simplify]: Simplify (- 0) into 0 10.209 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.209 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.209 * [backup-simplify]: Simplify (+ 0) into 0 10.210 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.212 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.212 * [backup-simplify]: Simplify (- 0) into 0 10.213 * [backup-simplify]: Simplify (+ 0 0) into 0 10.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.213 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.213 * [taylor]: Taking taylor expansion of 1/2 in U 10.213 * [backup-simplify]: Simplify 1/2 into 1/2 10.213 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.213 * [taylor]: Taking taylor expansion of U in U 10.213 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify 1 into 1 10.213 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.213 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.213 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.213 * [taylor]: Taking taylor expansion of 1/2 in U 10.213 * [backup-simplify]: Simplify 1/2 into 1/2 10.214 * [taylor]: Taking taylor expansion of K in U 10.214 * [backup-simplify]: Simplify K into K 10.214 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.214 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.214 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.214 * [taylor]: Taking taylor expansion of J in U 10.214 * [backup-simplify]: Simplify J into J 10.214 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.214 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.214 * [backup-simplify]: Simplify (- 0) into 0 10.214 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.214 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.214 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.214 * [taylor]: Taking taylor expansion of 1/2 in U 10.214 * [backup-simplify]: Simplify 1/2 into 1/2 10.214 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.214 * [taylor]: Taking taylor expansion of U in U 10.214 * [backup-simplify]: Simplify 0 into 0 10.214 * [backup-simplify]: Simplify 1 into 1 10.214 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.214 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.214 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.214 * [taylor]: Taking taylor expansion of 1/2 in U 10.214 * [backup-simplify]: Simplify 1/2 into 1/2 10.214 * [taylor]: Taking taylor expansion of K in U 10.214 * [backup-simplify]: Simplify K into K 10.215 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.215 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.215 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.215 * [taylor]: Taking taylor expansion of J in U 10.215 * [backup-simplify]: Simplify J into J 10.215 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.215 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.215 * [backup-simplify]: Simplify (- 0) into 0 10.215 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.215 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.215 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.215 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.215 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 10.215 * [taylor]: Taking taylor expansion of 1/2 in J 10.215 * [backup-simplify]: Simplify 1/2 into 1/2 10.215 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.215 * [taylor]: Taking taylor expansion of 1/2 in J 10.216 * [backup-simplify]: Simplify 1/2 into 1/2 10.216 * [taylor]: Taking taylor expansion of K in J 10.216 * [backup-simplify]: Simplify K into K 10.216 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.216 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.216 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.216 * [taylor]: Taking taylor expansion of J in J 10.216 * [backup-simplify]: Simplify 0 into 0 10.216 * [backup-simplify]: Simplify 1 into 1 10.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.216 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.216 * [backup-simplify]: Simplify (- 0) into 0 10.216 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.216 * [backup-simplify]: Simplify (+ 0) into 0 10.217 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.218 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.218 * [backup-simplify]: Simplify (- 0) into 0 10.218 * [backup-simplify]: Simplify (+ 0 0) into 0 10.219 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.219 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 10.219 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 10.219 * [taylor]: Taking taylor expansion of 1/2 in K 10.219 * [backup-simplify]: Simplify 1/2 into 1/2 10.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.219 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.219 * [taylor]: Taking taylor expansion of 1/2 in K 10.219 * [backup-simplify]: Simplify 1/2 into 1/2 10.219 * [taylor]: Taking taylor expansion of K in K 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 1 into 1 10.219 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.219 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.220 * [backup-simplify]: Simplify 1/2 into 1/2 10.220 * [backup-simplify]: Simplify (+ 0) into 0 10.220 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.221 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.222 * [backup-simplify]: Simplify (- 0) into 0 10.222 * [backup-simplify]: Simplify (+ 0 0) into 0 10.222 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.222 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.223 * [taylor]: Taking taylor expansion of 0 in J 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.224 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.225 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.225 * [backup-simplify]: Simplify (- 0) into 0 10.225 * [backup-simplify]: Simplify (+ 0 0) into 0 10.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.226 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.226 * [taylor]: Taking taylor expansion of 0 in K 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify (+ 0) into 0 10.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.228 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.229 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.229 * [backup-simplify]: Simplify (- 0) into 0 10.230 * [backup-simplify]: Simplify (+ 0 0) into 0 10.230 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 10.230 * [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 10.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 10.231 * [taylor]: Taking taylor expansion of 0 in J 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [taylor]: Taking taylor expansion of 0 in K 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.234 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.234 * [backup-simplify]: Simplify (- 0) into 0 10.234 * [backup-simplify]: Simplify (+ 0 0) into 0 10.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.235 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.235 * [taylor]: Taking taylor expansion of 0 in K 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 10.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 10.236 * [backup-simplify]: Simplify 1/16 into 1/16 10.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.237 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.239 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.239 * [backup-simplify]: Simplify (- 0) into 0 10.240 * [backup-simplify]: Simplify (+ 0 0) into 0 10.240 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.240 * [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 10.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 10.241 * [taylor]: Taking taylor expansion of 0 in J 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [taylor]: Taking taylor expansion of 0 in K 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [taylor]: Taking taylor expansion of 0 in K 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.243 * [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 10.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 10.247 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.248 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.248 * [backup-simplify]: Simplify (- 0) into 0 10.249 * [backup-simplify]: Simplify (+ 0 0) into 0 10.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.250 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.250 * [taylor]: Taking taylor expansion of 0 in K 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 10.251 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.251 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 10.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.251 * [taylor]: Taking taylor expansion of 1/2 in K 10.251 * [backup-simplify]: Simplify 1/2 into 1/2 10.251 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.251 * [taylor]: Taking taylor expansion of J in K 10.251 * [backup-simplify]: Simplify J into J 10.251 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.251 * [taylor]: Taking taylor expansion of U in K 10.251 * [backup-simplify]: Simplify U into U 10.251 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.251 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.251 * [taylor]: Taking taylor expansion of 1/2 in K 10.251 * [backup-simplify]: Simplify 1/2 into 1/2 10.251 * [taylor]: Taking taylor expansion of K in K 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.252 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.252 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.252 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.252 * [taylor]: Taking taylor expansion of 1/2 in J 10.252 * [backup-simplify]: Simplify 1/2 into 1/2 10.252 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.252 * [taylor]: Taking taylor expansion of J in J 10.252 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify 1 into 1 10.252 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.252 * [taylor]: Taking taylor expansion of U in J 10.252 * [backup-simplify]: Simplify U into U 10.253 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.253 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.253 * [taylor]: Taking taylor expansion of 1/2 in J 10.253 * [backup-simplify]: Simplify 1/2 into 1/2 10.253 * [taylor]: Taking taylor expansion of K in J 10.253 * [backup-simplify]: Simplify K into K 10.253 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.253 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.253 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.253 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.253 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.253 * [backup-simplify]: Simplify (- 0) into 0 10.253 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.254 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.254 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.254 * [taylor]: Taking taylor expansion of 1/2 in U 10.254 * [backup-simplify]: Simplify 1/2 into 1/2 10.254 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.254 * [taylor]: Taking taylor expansion of J in U 10.254 * [backup-simplify]: Simplify J into J 10.254 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.254 * [taylor]: Taking taylor expansion of U in U 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.254 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.254 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.254 * [taylor]: Taking taylor expansion of 1/2 in U 10.254 * [backup-simplify]: Simplify 1/2 into 1/2 10.254 * [taylor]: Taking taylor expansion of K in U 10.254 * [backup-simplify]: Simplify K into K 10.254 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.254 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.255 * [backup-simplify]: Simplify (- 0) into 0 10.255 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.256 * [backup-simplify]: Simplify (+ 0) into 0 10.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.258 * [backup-simplify]: Simplify (- 0) into 0 10.258 * [backup-simplify]: Simplify (+ 0 0) into 0 10.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.259 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.259 * [taylor]: Taking taylor expansion of 1/2 in U 10.259 * [backup-simplify]: Simplify 1/2 into 1/2 10.259 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.259 * [taylor]: Taking taylor expansion of J in U 10.259 * [backup-simplify]: Simplify J into J 10.259 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.259 * [taylor]: Taking taylor expansion of U in U 10.259 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify 1 into 1 10.259 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.259 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.259 * [taylor]: Taking taylor expansion of 1/2 in U 10.259 * [backup-simplify]: Simplify 1/2 into 1/2 10.259 * [taylor]: Taking taylor expansion of K in U 10.259 * [backup-simplify]: Simplify K into K 10.259 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.259 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.259 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.260 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.260 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.260 * [backup-simplify]: Simplify (- 0) into 0 10.260 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.260 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.261 * [backup-simplify]: Simplify (+ 0) into 0 10.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.263 * [backup-simplify]: Simplify (- 0) into 0 10.263 * [backup-simplify]: Simplify (+ 0 0) into 0 10.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.264 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.264 * [taylor]: Taking taylor expansion of 1/2 in J 10.264 * [backup-simplify]: Simplify 1/2 into 1/2 10.264 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.264 * [taylor]: Taking taylor expansion of J in J 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 1 into 1 10.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.264 * [taylor]: Taking taylor expansion of 1/2 in J 10.264 * [backup-simplify]: Simplify 1/2 into 1/2 10.264 * [taylor]: Taking taylor expansion of K in J 10.264 * [backup-simplify]: Simplify K into K 10.264 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.264 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.265 * [backup-simplify]: Simplify (- 0) into 0 10.265 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.265 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.265 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.265 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 10.265 * [taylor]: Taking taylor expansion of 1/2 in K 10.265 * [backup-simplify]: Simplify 1/2 into 1/2 10.265 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.265 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.265 * [taylor]: Taking taylor expansion of 1/2 in K 10.265 * [backup-simplify]: Simplify 1/2 into 1/2 10.265 * [taylor]: Taking taylor expansion of K in K 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.266 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.266 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.266 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.268 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.270 * [backup-simplify]: Simplify (- 0) into 0 10.270 * [backup-simplify]: Simplify (+ 0 0) into 0 10.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.271 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.272 * [taylor]: Taking taylor expansion of 0 in J 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [taylor]: Taking taylor expansion of 0 in K 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify (+ 0) into 0 10.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.274 * [backup-simplify]: Simplify (- 0) into 0 10.275 * [backup-simplify]: Simplify (+ 0 0) into 0 10.275 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.276 * [taylor]: Taking taylor expansion of 0 in K 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.276 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.278 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.281 * [backup-simplify]: Simplify (- 0) into 0 10.281 * [backup-simplify]: Simplify (+ 0 0) into 0 10.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.283 * [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 10.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.284 * [taylor]: Taking taylor expansion of 0 in J 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [taylor]: Taking taylor expansion of 0 in K 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [taylor]: Taking taylor expansion of 0 in K 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 0 into 0 10.285 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.286 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.287 * [backup-simplify]: Simplify (- 0) into 0 10.288 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 10.289 * [taylor]: Taking taylor expansion of 0 in K 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [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))) 10.289 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.290 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 10.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.290 * [taylor]: Taking taylor expansion of 1/2 in K 10.290 * [backup-simplify]: Simplify 1/2 into 1/2 10.290 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.290 * [taylor]: Taking taylor expansion of J in K 10.290 * [backup-simplify]: Simplify J into J 10.290 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.290 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.290 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.290 * [taylor]: Taking taylor expansion of -1/2 in K 10.290 * [backup-simplify]: Simplify -1/2 into -1/2 10.290 * [taylor]: Taking taylor expansion of K in K 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 1 into 1 10.290 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.290 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.290 * [taylor]: Taking taylor expansion of U in K 10.290 * [backup-simplify]: Simplify U into U 10.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.291 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.291 * [taylor]: Taking taylor expansion of 1/2 in J 10.291 * [backup-simplify]: Simplify 1/2 into 1/2 10.291 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.291 * [taylor]: Taking taylor expansion of J in J 10.291 * [backup-simplify]: Simplify 0 into 0 10.291 * [backup-simplify]: Simplify 1 into 1 10.291 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.291 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.291 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.291 * [taylor]: Taking taylor expansion of -1/2 in J 10.291 * [backup-simplify]: Simplify -1/2 into -1/2 10.291 * [taylor]: Taking taylor expansion of K in J 10.291 * [backup-simplify]: Simplify K into K 10.291 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.291 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.291 * [taylor]: Taking taylor expansion of U in J 10.291 * [backup-simplify]: Simplify U into U 10.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.291 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.292 * [backup-simplify]: Simplify (- 0) into 0 10.292 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.292 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.292 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.292 * [taylor]: Taking taylor expansion of 1/2 in U 10.292 * [backup-simplify]: Simplify 1/2 into 1/2 10.292 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.292 * [taylor]: Taking taylor expansion of J in U 10.292 * [backup-simplify]: Simplify J into J 10.292 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.292 * [taylor]: Taking taylor expansion of -1/2 in U 10.292 * [backup-simplify]: Simplify -1/2 into -1/2 10.292 * [taylor]: Taking taylor expansion of K in U 10.292 * [backup-simplify]: Simplify K into K 10.292 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.293 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.293 * [taylor]: Taking taylor expansion of U in U 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 1 into 1 10.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.293 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.293 * [backup-simplify]: Simplify (- 0) into 0 10.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.294 * [backup-simplify]: Simplify (+ 0) into 0 10.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.296 * [backup-simplify]: Simplify (- 0) into 0 10.297 * [backup-simplify]: Simplify (+ 0 0) into 0 10.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.297 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.297 * [taylor]: Taking taylor expansion of 1/2 in U 10.297 * [backup-simplify]: Simplify 1/2 into 1/2 10.297 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.297 * [taylor]: Taking taylor expansion of J in U 10.297 * [backup-simplify]: Simplify J into J 10.297 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.297 * [taylor]: Taking taylor expansion of -1/2 in U 10.298 * [backup-simplify]: Simplify -1/2 into -1/2 10.298 * [taylor]: Taking taylor expansion of K in U 10.298 * [backup-simplify]: Simplify K into K 10.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.298 * [taylor]: Taking taylor expansion of U in U 10.298 * [backup-simplify]: Simplify 0 into 0 10.298 * [backup-simplify]: Simplify 1 into 1 10.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.298 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.298 * [backup-simplify]: Simplify (- 0) into 0 10.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.299 * [backup-simplify]: Simplify (+ 0) into 0 10.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.301 * [backup-simplify]: Simplify (- 0) into 0 10.302 * [backup-simplify]: Simplify (+ 0 0) into 0 10.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.302 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.302 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 10.302 * [taylor]: Taking taylor expansion of 1/2 in J 10.302 * [backup-simplify]: Simplify 1/2 into 1/2 10.303 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.303 * [taylor]: Taking taylor expansion of J in J 10.303 * [backup-simplify]: Simplify 0 into 0 10.303 * [backup-simplify]: Simplify 1 into 1 10.303 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.303 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.303 * [taylor]: Taking taylor expansion of -1/2 in J 10.303 * [backup-simplify]: Simplify -1/2 into -1/2 10.303 * [taylor]: Taking taylor expansion of K in J 10.303 * [backup-simplify]: Simplify K into K 10.303 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.303 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.303 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.304 * [backup-simplify]: Simplify (- 0) into 0 10.304 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.304 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.304 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 10.304 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 10.304 * [taylor]: Taking taylor expansion of 1/2 in K 10.304 * [backup-simplify]: Simplify 1/2 into 1/2 10.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.304 * [taylor]: Taking taylor expansion of -1/2 in K 10.304 * [backup-simplify]: Simplify -1/2 into -1/2 10.304 * [taylor]: Taking taylor expansion of K in K 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify 1 into 1 10.305 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.305 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.305 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.310 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.311 * [backup-simplify]: Simplify (- 0) into 0 10.312 * [backup-simplify]: Simplify (+ 0 0) into 0 10.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.313 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.313 * [taylor]: Taking taylor expansion of 0 in J 10.313 * [backup-simplify]: Simplify 0 into 0 10.313 * [taylor]: Taking taylor expansion of 0 in K 10.313 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify (+ 0) into 0 10.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.316 * [backup-simplify]: Simplify (- 0) into 0 10.317 * [backup-simplify]: Simplify (+ 0 0) into 0 10.317 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.317 * [taylor]: Taking taylor expansion of 0 in K 10.317 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.318 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.322 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.322 * [backup-simplify]: Simplify (- 0) into 0 10.323 * [backup-simplify]: Simplify (+ 0 0) into 0 10.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.324 * [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 10.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.325 * [taylor]: Taking taylor expansion of 0 in J 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [taylor]: Taking taylor expansion of 0 in K 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [taylor]: Taking taylor expansion of 0 in K 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.327 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.329 * [backup-simplify]: Simplify (- 0) into 0 10.329 * [backup-simplify]: Simplify (+ 0 0) into 0 10.329 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 10.330 * [taylor]: Taking taylor expansion of 0 in K 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 0 into 0 10.331 * [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))) 10.331 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.331 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) into (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 10.331 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 10.331 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 10.331 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.331 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.331 * [taylor]: Taking taylor expansion of 1/2 in K 10.331 * [backup-simplify]: Simplify 1/2 into 1/2 10.331 * [taylor]: Taking taylor expansion of K in K 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.332 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.332 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.332 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.333 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 10.333 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.333 * [taylor]: Taking taylor expansion of 1 in K 10.333 * [backup-simplify]: Simplify 1 into 1 10.333 * [taylor]: Taking taylor expansion of 1 in K 10.333 * [backup-simplify]: Simplify 1 into 1 10.333 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.333 * [taylor]: Taking taylor expansion of 1/2 in K 10.333 * [backup-simplify]: Simplify 1/2 into 1/2 10.333 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.333 * [taylor]: Taking taylor expansion of U in K 10.333 * [backup-simplify]: Simplify U into U 10.333 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.333 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.333 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.333 * [taylor]: Taking taylor expansion of 1/2 in K 10.333 * [backup-simplify]: Simplify 1/2 into 1/2 10.333 * [taylor]: Taking taylor expansion of K in K 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify 1 into 1 10.334 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.335 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.335 * [taylor]: Taking taylor expansion of J in K 10.335 * [backup-simplify]: Simplify J into J 10.335 * [backup-simplify]: Simplify (* 1 J) into J 10.335 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.335 * [taylor]: Taking taylor expansion of 1/2 in K 10.335 * [backup-simplify]: Simplify 1/2 into 1/2 10.335 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.335 * [taylor]: Taking taylor expansion of U in K 10.335 * [backup-simplify]: Simplify U into U 10.335 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.335 * [taylor]: Taking taylor expansion of 1/2 in K 10.335 * [backup-simplify]: Simplify 1/2 into 1/2 10.335 * [taylor]: Taking taylor expansion of K in K 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 1 into 1 10.336 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.337 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.337 * [taylor]: Taking taylor expansion of J in K 10.337 * [backup-simplify]: Simplify J into J 10.337 * [backup-simplify]: Simplify (* 1 J) into J 10.337 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.337 * [backup-simplify]: Simplify (* 1 1) into 1 10.337 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.337 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.337 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.338 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.338 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.339 * [backup-simplify]: Simplify (+ 0) into 0 10.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.340 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.340 * [backup-simplify]: Simplify (+ 0) into 0 10.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.341 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.342 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 10.342 * [backup-simplify]: Simplify (+ 0 0) into 0 10.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.343 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 10.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.343 * [taylor]: Taking taylor expansion of 1/2 in J 10.343 * [backup-simplify]: Simplify 1/2 into 1/2 10.343 * [taylor]: Taking taylor expansion of K in J 10.343 * [backup-simplify]: Simplify K into K 10.343 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.343 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.343 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.343 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.343 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.343 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 10.343 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.343 * [taylor]: Taking taylor expansion of 1 in J 10.343 * [backup-simplify]: Simplify 1 into 1 10.343 * [taylor]: Taking taylor expansion of 1 in J 10.343 * [backup-simplify]: Simplify 1 into 1 10.343 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.343 * [taylor]: Taking taylor expansion of 1/2 in J 10.343 * [backup-simplify]: Simplify 1/2 into 1/2 10.343 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.343 * [taylor]: Taking taylor expansion of U in J 10.343 * [backup-simplify]: Simplify U into U 10.343 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.343 * [taylor]: Taking taylor expansion of 1/2 in J 10.343 * [backup-simplify]: Simplify 1/2 into 1/2 10.344 * [taylor]: Taking taylor expansion of K in J 10.344 * [backup-simplify]: Simplify K into K 10.344 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.344 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.344 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.344 * [taylor]: Taking taylor expansion of J in J 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify 1 into 1 10.344 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.344 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.344 * [backup-simplify]: Simplify (- 0) into 0 10.345 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.345 * [backup-simplify]: Simplify (+ 0) into 0 10.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.347 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.348 * [backup-simplify]: Simplify (- 0) into 0 10.348 * [backup-simplify]: Simplify (+ 0 0) into 0 10.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.349 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.349 * [taylor]: Taking taylor expansion of 1/2 in J 10.349 * [backup-simplify]: Simplify 1/2 into 1/2 10.349 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.349 * [taylor]: Taking taylor expansion of U in J 10.349 * [backup-simplify]: Simplify U into U 10.349 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.349 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.349 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.349 * [taylor]: Taking taylor expansion of 1/2 in J 10.349 * [backup-simplify]: Simplify 1/2 into 1/2 10.349 * [taylor]: Taking taylor expansion of K in J 10.349 * [backup-simplify]: Simplify K into K 10.349 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.349 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.349 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.349 * [taylor]: Taking taylor expansion of J in J 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify 1 into 1 10.349 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.349 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.350 * [backup-simplify]: Simplify (- 0) into 0 10.350 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.350 * [backup-simplify]: Simplify (+ 0) into 0 10.351 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.353 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.353 * [backup-simplify]: Simplify (- 0) into 0 10.353 * [backup-simplify]: Simplify (+ 0 0) into 0 10.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.354 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.354 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.355 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.355 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.355 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.355 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.356 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.359 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.360 * [backup-simplify]: Simplify (- 0) into 0 10.360 * [backup-simplify]: Simplify (+ 0 0) into 0 10.361 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.361 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.365 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.365 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.366 * [backup-simplify]: Simplify (- 0) into 0 10.366 * [backup-simplify]: Simplify (+ 0 0) into 0 10.367 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.367 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.368 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 10.368 * [backup-simplify]: Simplify (+ 0 0) into 0 10.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.368 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.368 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.368 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.368 * [taylor]: Taking taylor expansion of 1/2 in U 10.369 * [backup-simplify]: Simplify 1/2 into 1/2 10.369 * [taylor]: Taking taylor expansion of K in U 10.369 * [backup-simplify]: Simplify K into K 10.369 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.369 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.369 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.369 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.369 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.369 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.369 * [taylor]: Taking taylor expansion of 1 in U 10.369 * [backup-simplify]: Simplify 1 into 1 10.369 * [taylor]: Taking taylor expansion of 1 in U 10.369 * [backup-simplify]: Simplify 1 into 1 10.369 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.369 * [taylor]: Taking taylor expansion of 1/2 in U 10.369 * [backup-simplify]: Simplify 1/2 into 1/2 10.369 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.369 * [taylor]: Taking taylor expansion of U in U 10.369 * [backup-simplify]: Simplify 0 into 0 10.369 * [backup-simplify]: Simplify 1 into 1 10.369 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.369 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.369 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.369 * [taylor]: Taking taylor expansion of 1/2 in U 10.369 * [backup-simplify]: Simplify 1/2 into 1/2 10.369 * [taylor]: Taking taylor expansion of K in U 10.369 * [backup-simplify]: Simplify K into K 10.369 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.370 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.370 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.370 * [taylor]: Taking taylor expansion of J in U 10.370 * [backup-simplify]: Simplify J into J 10.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.370 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.370 * [backup-simplify]: Simplify (- 0) into 0 10.370 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.370 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.371 * [taylor]: Taking taylor expansion of 1/2 in U 10.371 * [backup-simplify]: Simplify 1/2 into 1/2 10.371 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.371 * [taylor]: Taking taylor expansion of U in U 10.371 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify 1 into 1 10.371 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.371 * [taylor]: Taking taylor expansion of 1/2 in U 10.371 * [backup-simplify]: Simplify 1/2 into 1/2 10.371 * [taylor]: Taking taylor expansion of K in U 10.371 * [backup-simplify]: Simplify K into K 10.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.371 * [taylor]: Taking taylor expansion of J in U 10.371 * [backup-simplify]: Simplify J into J 10.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.371 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.372 * [backup-simplify]: Simplify (- 0) into 0 10.372 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.372 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.372 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.372 * [backup-simplify]: Simplify (* 1 1) into 1 10.373 * [backup-simplify]: Simplify (+ 1 0) into 1 10.373 * [backup-simplify]: Simplify (sqrt 1) into 1 10.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.374 * [backup-simplify]: Simplify (+ 0 0) into 0 10.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.375 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.375 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.375 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.375 * [taylor]: Taking taylor expansion of 1/2 in U 10.375 * [backup-simplify]: Simplify 1/2 into 1/2 10.375 * [taylor]: Taking taylor expansion of K in U 10.375 * [backup-simplify]: Simplify K into K 10.375 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.375 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.375 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.375 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.375 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.375 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.375 * [taylor]: Taking taylor expansion of 1 in U 10.375 * [backup-simplify]: Simplify 1 into 1 10.376 * [taylor]: Taking taylor expansion of 1 in U 10.376 * [backup-simplify]: Simplify 1 into 1 10.376 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.376 * [taylor]: Taking taylor expansion of 1/2 in U 10.376 * [backup-simplify]: Simplify 1/2 into 1/2 10.376 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.376 * [taylor]: Taking taylor expansion of U in U 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify 1 into 1 10.376 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.376 * [taylor]: Taking taylor expansion of 1/2 in U 10.376 * [backup-simplify]: Simplify 1/2 into 1/2 10.376 * [taylor]: Taking taylor expansion of K in U 10.376 * [backup-simplify]: Simplify K into K 10.376 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.376 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.376 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.376 * [taylor]: Taking taylor expansion of J in U 10.376 * [backup-simplify]: Simplify J into J 10.376 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.376 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.377 * [backup-simplify]: Simplify (- 0) into 0 10.377 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.377 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.377 * [taylor]: Taking taylor expansion of 1/2 in U 10.377 * [backup-simplify]: Simplify 1/2 into 1/2 10.377 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.377 * [taylor]: Taking taylor expansion of U in U 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [backup-simplify]: Simplify 1 into 1 10.377 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.377 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.377 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.377 * [taylor]: Taking taylor expansion of 1/2 in U 10.377 * [backup-simplify]: Simplify 1/2 into 1/2 10.377 * [taylor]: Taking taylor expansion of K in U 10.377 * [backup-simplify]: Simplify K into K 10.377 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.378 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.378 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.378 * [taylor]: Taking taylor expansion of J in U 10.378 * [backup-simplify]: Simplify J into J 10.378 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.378 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.378 * [backup-simplify]: Simplify (- 0) into 0 10.378 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.378 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.378 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.379 * [backup-simplify]: Simplify (* 1 1) into 1 10.379 * [backup-simplify]: Simplify (+ 1 0) into 1 10.380 * [backup-simplify]: Simplify (sqrt 1) into 1 10.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.381 * [backup-simplify]: Simplify (+ 0 0) into 0 10.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.382 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.382 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.382 * [backup-simplify]: Simplify (- 0) into 0 10.382 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.382 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.382 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.382 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.382 * [taylor]: Taking taylor expansion of 1/2 in J 10.382 * [backup-simplify]: Simplify 1/2 into 1/2 10.382 * [taylor]: Taking taylor expansion of K in J 10.382 * [backup-simplify]: Simplify K into K 10.382 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.382 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.383 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.383 * [backup-simplify]: Simplify (+ 0) into 0 10.383 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.385 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.386 * [backup-simplify]: Simplify (- 0) into 0 10.386 * [backup-simplify]: Simplify (+ 0 0) into 0 10.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.387 * [taylor]: Taking taylor expansion of 0 in J 10.387 * [backup-simplify]: Simplify 0 into 0 10.387 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.387 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.387 * [backup-simplify]: Simplify (- 0) into 0 10.387 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.387 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.387 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.387 * [taylor]: Taking taylor expansion of 1/2 in K 10.387 * [backup-simplify]: Simplify 1/2 into 1/2 10.387 * [taylor]: Taking taylor expansion of K in K 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 1 into 1 10.388 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.389 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.389 * [backup-simplify]: Simplify 1 into 1 10.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.390 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.390 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.390 * [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))) 10.391 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.392 * [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))) 10.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.394 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.396 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.396 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.397 * [backup-simplify]: Simplify (- 0) into 0 10.397 * [backup-simplify]: Simplify (+ 0 0) into 0 10.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) 10.398 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 10.398 * [taylor]: Taking taylor expansion of 1/8 in J 10.398 * [backup-simplify]: Simplify 1/8 into 1/8 10.398 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 10.398 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 10.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.398 * [taylor]: Taking taylor expansion of 1/2 in J 10.399 * [backup-simplify]: Simplify 1/2 into 1/2 10.399 * [taylor]: Taking taylor expansion of K in J 10.399 * [backup-simplify]: Simplify K into K 10.399 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.399 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.399 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.399 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.399 * [taylor]: Taking taylor expansion of J in J 10.399 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify 1 into 1 10.399 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.399 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.400 * [backup-simplify]: Simplify (- 0) into 0 10.400 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.400 * [backup-simplify]: Simplify (* 1 1) into 1 10.400 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.400 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 10.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.401 * [backup-simplify]: Simplify (+ 0) into 0 10.402 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.404 * [backup-simplify]: Simplify (- 0) into 0 10.404 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.406 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 10.406 * [taylor]: Taking taylor expansion of 0 in K 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [taylor]: Taking taylor expansion of 0 in K 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify (+ 0) into 0 10.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.409 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.409 * [backup-simplify]: Simplify (- 0) into 0 10.409 * [backup-simplify]: Simplify (+ 0 0) into 0 10.409 * [taylor]: Taking taylor expansion of 0 in K 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify (+ 0) into 0 10.410 * [backup-simplify]: Simplify 0 into 0 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.412 * [backup-simplify]: Simplify (+ 0) into 0 10.412 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.414 * [backup-simplify]: Simplify (- 0) into 0 10.415 * [backup-simplify]: Simplify (+ 0 0) into 0 10.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.415 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.416 * [backup-simplify]: Simplify (+ 0) into 0 10.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.419 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.419 * [backup-simplify]: Simplify (- 0) into 0 10.420 * [backup-simplify]: Simplify (+ 0 0) into 0 10.420 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.420 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.421 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 10.422 * [backup-simplify]: Simplify (+ 0 0) into 0 10.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.423 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.428 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.428 * [backup-simplify]: Simplify (- 0) into 0 10.428 * [backup-simplify]: Simplify (+ 0 0) into 0 10.429 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 10.429 * [taylor]: Taking taylor expansion of 0 in J 10.429 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.432 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.434 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.434 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.434 * [backup-simplify]: Simplify (- 0) into 0 10.435 * [backup-simplify]: Simplify (+ 0 0) into 0 10.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.437 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 10.437 * [taylor]: Taking taylor expansion of 0 in K 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [taylor]: Taking taylor expansion of 0 in K 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) (cos (/ (/ 1 K) 2))) into (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) 10.437 * [approximate]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in (U J K) around 0 10.437 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 10.437 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.438 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.438 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 10.438 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.438 * [taylor]: Taking taylor expansion of 1 in K 10.438 * [backup-simplify]: Simplify 1 into 1 10.438 * [taylor]: Taking taylor expansion of 1 in K 10.438 * [backup-simplify]: Simplify 1 into 1 10.438 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.438 * [taylor]: Taking taylor expansion of 1/2 in K 10.438 * [backup-simplify]: Simplify 1/2 into 1/2 10.438 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.438 * [taylor]: Taking taylor expansion of J in K 10.438 * [backup-simplify]: Simplify J into J 10.438 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.438 * [taylor]: Taking taylor expansion of U in K 10.438 * [backup-simplify]: Simplify U into U 10.438 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.438 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.438 * [taylor]: Taking taylor expansion of 1/2 in K 10.438 * [backup-simplify]: Simplify 1/2 into 1/2 10.438 * [taylor]: Taking taylor expansion of K in K 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 1 into 1 10.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.439 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.439 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.439 * [taylor]: Taking taylor expansion of 1/2 in K 10.439 * [backup-simplify]: Simplify 1/2 into 1/2 10.439 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.439 * [taylor]: Taking taylor expansion of J in K 10.439 * [backup-simplify]: Simplify J into J 10.439 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.439 * [taylor]: Taking taylor expansion of U in K 10.439 * [backup-simplify]: Simplify U into U 10.439 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.439 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.439 * [taylor]: Taking taylor expansion of 1/2 in K 10.439 * [backup-simplify]: Simplify 1/2 into 1/2 10.439 * [taylor]: Taking taylor expansion of K in K 10.439 * [backup-simplify]: Simplify 0 into 0 10.439 * [backup-simplify]: Simplify 1 into 1 10.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.440 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.440 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.440 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.440 * [backup-simplify]: Simplify (* 1 1) into 1 10.441 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.441 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.441 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.441 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.442 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.443 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.443 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.444 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.444 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.445 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 10.445 * [backup-simplify]: Simplify (+ 0 0) into 0 10.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.446 * [taylor]: Taking taylor expansion of 1/2 in K 10.446 * [backup-simplify]: Simplify 1/2 into 1/2 10.446 * [taylor]: Taking taylor expansion of K in K 10.446 * [backup-simplify]: Simplify 0 into 0 10.446 * [backup-simplify]: Simplify 1 into 1 10.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.446 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 10.446 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 10.447 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.447 * [taylor]: Taking taylor expansion of 1 in J 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [taylor]: Taking taylor expansion of 1 in J 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.447 * [taylor]: Taking taylor expansion of 1/2 in J 10.447 * [backup-simplify]: Simplify 1/2 into 1/2 10.447 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.447 * [taylor]: Taking taylor expansion of J in J 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.447 * [taylor]: Taking taylor expansion of U in J 10.447 * [backup-simplify]: Simplify U into U 10.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.447 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.447 * [taylor]: Taking taylor expansion of 1/2 in J 10.447 * [backup-simplify]: Simplify 1/2 into 1/2 10.447 * [taylor]: Taking taylor expansion of K in J 10.447 * [backup-simplify]: Simplify K into K 10.447 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.447 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.447 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.448 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.448 * [backup-simplify]: Simplify (- 0) into 0 10.448 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.448 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.448 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.448 * [taylor]: Taking taylor expansion of 1/2 in J 10.448 * [backup-simplify]: Simplify 1/2 into 1/2 10.448 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.448 * [taylor]: Taking taylor expansion of J in J 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify 1 into 1 10.448 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.449 * [taylor]: Taking taylor expansion of U in J 10.449 * [backup-simplify]: Simplify U into U 10.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.449 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.449 * [taylor]: Taking taylor expansion of 1/2 in J 10.449 * [backup-simplify]: Simplify 1/2 into 1/2 10.449 * [taylor]: Taking taylor expansion of K in J 10.449 * [backup-simplify]: Simplify K into K 10.449 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.449 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.450 * [backup-simplify]: Simplify (- 0) into 0 10.450 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.450 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.450 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.450 * [backup-simplify]: Simplify (* 1 1) into 1 10.451 * [backup-simplify]: Simplify (+ 1 0) into 1 10.451 * [backup-simplify]: Simplify (sqrt 1) into 1 10.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.452 * [backup-simplify]: Simplify (+ 0 0) into 0 10.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.453 * [taylor]: Taking taylor expansion of 1/2 in J 10.453 * [backup-simplify]: Simplify 1/2 into 1/2 10.453 * [taylor]: Taking taylor expansion of K in J 10.453 * [backup-simplify]: Simplify K into K 10.453 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.453 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.453 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.453 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.454 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 10.454 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.454 * [taylor]: Taking taylor expansion of 1 in U 10.454 * [backup-simplify]: Simplify 1 into 1 10.454 * [taylor]: Taking taylor expansion of 1 in U 10.454 * [backup-simplify]: Simplify 1 into 1 10.454 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.454 * [taylor]: Taking taylor expansion of 1/2 in U 10.454 * [backup-simplify]: Simplify 1/2 into 1/2 10.454 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.454 * [taylor]: Taking taylor expansion of J in U 10.454 * [backup-simplify]: Simplify J into J 10.454 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.454 * [taylor]: Taking taylor expansion of U in U 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 1 into 1 10.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.454 * [taylor]: Taking taylor expansion of 1/2 in U 10.454 * [backup-simplify]: Simplify 1/2 into 1/2 10.454 * [taylor]: Taking taylor expansion of K in U 10.454 * [backup-simplify]: Simplify K into K 10.454 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.454 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.454 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.455 * [backup-simplify]: Simplify (- 0) into 0 10.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.455 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.456 * [backup-simplify]: Simplify (+ 0) into 0 10.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.458 * [backup-simplify]: Simplify (- 0) into 0 10.458 * [backup-simplify]: Simplify (+ 0 0) into 0 10.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.461 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.461 * [taylor]: Taking taylor expansion of 1/2 in U 10.461 * [backup-simplify]: Simplify 1/2 into 1/2 10.461 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.462 * [taylor]: Taking taylor expansion of J in U 10.462 * [backup-simplify]: Simplify J into J 10.462 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.462 * [taylor]: Taking taylor expansion of U in U 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 1 into 1 10.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.462 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.462 * [taylor]: Taking taylor expansion of 1/2 in U 10.462 * [backup-simplify]: Simplify 1/2 into 1/2 10.462 * [taylor]: Taking taylor expansion of K in U 10.462 * [backup-simplify]: Simplify K into K 10.462 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.462 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.462 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.462 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.462 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.463 * [backup-simplify]: Simplify (- 0) into 0 10.463 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.463 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.464 * [backup-simplify]: Simplify (+ 0) into 0 10.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.466 * [backup-simplify]: Simplify (- 0) into 0 10.467 * [backup-simplify]: Simplify (+ 0 0) into 0 10.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.467 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.468 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.468 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.468 * [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))) 10.468 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.468 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.472 * [backup-simplify]: Simplify (- 0) into 0 10.472 * [backup-simplify]: Simplify (+ 0 0) into 0 10.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.477 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.477 * [backup-simplify]: Simplify (- 0) into 0 10.478 * [backup-simplify]: Simplify (+ 0 0) into 0 10.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.479 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.480 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.480 * [backup-simplify]: Simplify (+ 0 0) into 0 10.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.480 * [taylor]: Taking taylor expansion of 1/2 in U 10.481 * [backup-simplify]: Simplify 1/2 into 1/2 10.481 * [taylor]: Taking taylor expansion of K in U 10.481 * [backup-simplify]: Simplify K into K 10.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.481 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.481 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.481 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 10.481 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.481 * [taylor]: Taking taylor expansion of 1 in U 10.481 * [backup-simplify]: Simplify 1 into 1 10.481 * [taylor]: Taking taylor expansion of 1 in U 10.481 * [backup-simplify]: Simplify 1 into 1 10.481 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.481 * [taylor]: Taking taylor expansion of 1/2 in U 10.481 * [backup-simplify]: Simplify 1/2 into 1/2 10.481 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.481 * [taylor]: Taking taylor expansion of J in U 10.481 * [backup-simplify]: Simplify J into J 10.481 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.481 * [taylor]: Taking taylor expansion of U in U 10.481 * [backup-simplify]: Simplify 0 into 0 10.481 * [backup-simplify]: Simplify 1 into 1 10.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.481 * [taylor]: Taking taylor expansion of 1/2 in U 10.481 * [backup-simplify]: Simplify 1/2 into 1/2 10.481 * [taylor]: Taking taylor expansion of K in U 10.481 * [backup-simplify]: Simplify K into K 10.482 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.482 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.482 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.482 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.482 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.482 * [backup-simplify]: Simplify (- 0) into 0 10.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.482 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.483 * [backup-simplify]: Simplify (+ 0) into 0 10.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.485 * [backup-simplify]: Simplify (- 0) into 0 10.485 * [backup-simplify]: Simplify (+ 0 0) into 0 10.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.486 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.486 * [taylor]: Taking taylor expansion of 1/2 in U 10.486 * [backup-simplify]: Simplify 1/2 into 1/2 10.486 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.486 * [taylor]: Taking taylor expansion of J in U 10.486 * [backup-simplify]: Simplify J into J 10.486 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.486 * [taylor]: Taking taylor expansion of U in U 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 1 into 1 10.486 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.486 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.486 * [taylor]: Taking taylor expansion of 1/2 in U 10.486 * [backup-simplify]: Simplify 1/2 into 1/2 10.486 * [taylor]: Taking taylor expansion of K in U 10.486 * [backup-simplify]: Simplify K into K 10.486 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.486 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.486 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.487 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.487 * [backup-simplify]: Simplify (- 0) into 0 10.487 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.487 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.487 * [backup-simplify]: Simplify (+ 0) into 0 10.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.490 * [backup-simplify]: Simplify (- 0) into 0 10.490 * [backup-simplify]: Simplify (+ 0 0) into 0 10.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.491 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.491 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.491 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.491 * [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))) 10.491 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.491 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.492 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.495 * [backup-simplify]: Simplify (- 0) into 0 10.495 * [backup-simplify]: Simplify (+ 0 0) into 0 10.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.496 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.499 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.500 * [backup-simplify]: Simplify (- 0) into 0 10.501 * [backup-simplify]: Simplify (+ 0 0) into 0 10.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.502 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.502 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.503 * [backup-simplify]: Simplify (+ 0 0) into 0 10.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.503 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.503 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.503 * [taylor]: Taking taylor expansion of 1/2 in U 10.503 * [backup-simplify]: Simplify 1/2 into 1/2 10.503 * [taylor]: Taking taylor expansion of K in U 10.503 * [backup-simplify]: Simplify K into K 10.503 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.503 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.503 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.504 * [backup-simplify]: Simplify (- 0) into 0 10.504 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.504 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 10.504 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 10.504 * [taylor]: Taking taylor expansion of 1/2 in J 10.504 * [backup-simplify]: Simplify 1/2 into 1/2 10.504 * [taylor]: Taking taylor expansion of J in J 10.504 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify 1 into 1 10.505 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.505 * [taylor]: Taking taylor expansion of 0 in K 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (+ 0) into 0 10.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.508 * [backup-simplify]: Simplify (- 0) into 0 10.508 * [backup-simplify]: Simplify (+ 0 0) into 0 10.508 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.508 * [taylor]: Taking taylor expansion of 0 in J 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [taylor]: Taking taylor expansion of 0 in K 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.509 * [taylor]: Taking taylor expansion of 1/2 in K 10.509 * [backup-simplify]: Simplify 1/2 into 1/2 10.509 * [backup-simplify]: Simplify 1/2 into 1/2 10.509 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.512 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.512 * [backup-simplify]: Simplify (- 0) into 0 10.513 * [backup-simplify]: Simplify (+ 0 0) into 0 10.513 * [backup-simplify]: Simplify (* 1 1) into 1 10.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.518 * [backup-simplify]: Simplify (- 0) into 0 10.518 * [backup-simplify]: Simplify (+ 0 0) into 0 10.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.520 * [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 10.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.522 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.522 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.523 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.526 * [backup-simplify]: Simplify (- 0) into 0 10.526 * [backup-simplify]: Simplify (+ 0 0) into 0 10.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.527 * [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 10.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.529 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 10.529 * [backup-simplify]: Simplify (+ 1 0) into 1 10.530 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.531 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 10.531 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 10.531 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.531 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.531 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.531 * [taylor]: Taking taylor expansion of 1/2 in J 10.531 * [backup-simplify]: Simplify 1/2 into 1/2 10.531 * [taylor]: Taking taylor expansion of K in J 10.531 * [backup-simplify]: Simplify K into K 10.531 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.531 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.531 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.531 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.531 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.532 * [backup-simplify]: Simplify (- 0) into 0 10.532 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.532 * [taylor]: Taking taylor expansion of J in J 10.532 * [backup-simplify]: Simplify 0 into 0 10.532 * [backup-simplify]: Simplify 1 into 1 10.532 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.532 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 10.533 * [backup-simplify]: Simplify (+ 0) into 0 10.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.534 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.535 * [backup-simplify]: Simplify (- 0) into 0 10.535 * [backup-simplify]: Simplify (+ 0 0) into 0 10.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 10.536 * [taylor]: Taking taylor expansion of 0 in K 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [taylor]: Taking taylor expansion of 0 in K 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.538 * [taylor]: Taking taylor expansion of 0 in K 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 10.538 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) (cos (/ (/ 1 (- K)) 2))) into (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 10.538 * [approximate]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 10.538 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.538 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.539 * [taylor]: Taking taylor expansion of -1/2 in K 10.539 * [backup-simplify]: Simplify -1/2 into -1/2 10.539 * [taylor]: Taking taylor expansion of K in K 10.539 * [backup-simplify]: Simplify 0 into 0 10.539 * [backup-simplify]: Simplify 1 into 1 10.539 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.539 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.539 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.539 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.539 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.539 * [taylor]: Taking taylor expansion of 1 in K 10.539 * [backup-simplify]: Simplify 1 into 1 10.539 * [taylor]: Taking taylor expansion of 1 in K 10.539 * [backup-simplify]: Simplify 1 into 1 10.539 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.539 * [taylor]: Taking taylor expansion of 1/2 in K 10.540 * [backup-simplify]: Simplify 1/2 into 1/2 10.540 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.540 * [taylor]: Taking taylor expansion of J in K 10.540 * [backup-simplify]: Simplify J into J 10.540 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.540 * [taylor]: Taking taylor expansion of -1/2 in K 10.540 * [backup-simplify]: Simplify -1/2 into -1/2 10.540 * [taylor]: Taking taylor expansion of K in K 10.540 * [backup-simplify]: Simplify 0 into 0 10.540 * [backup-simplify]: Simplify 1 into 1 10.540 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.540 * [taylor]: Taking taylor expansion of U in K 10.540 * [backup-simplify]: Simplify U into U 10.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.541 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.541 * [taylor]: Taking taylor expansion of 1/2 in K 10.541 * [backup-simplify]: Simplify 1/2 into 1/2 10.541 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.541 * [taylor]: Taking taylor expansion of J in K 10.541 * [backup-simplify]: Simplify J into J 10.541 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.541 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.541 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.541 * [taylor]: Taking taylor expansion of -1/2 in K 10.541 * [backup-simplify]: Simplify -1/2 into -1/2 10.541 * [taylor]: Taking taylor expansion of K in K 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.541 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.542 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.542 * [taylor]: Taking taylor expansion of U in K 10.542 * [backup-simplify]: Simplify U into U 10.542 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.542 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.542 * [backup-simplify]: Simplify (* 1 1) into 1 10.542 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.543 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.543 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.543 * [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))))) 10.544 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.545 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.546 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.547 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 10.548 * [backup-simplify]: Simplify (+ 0 0) into 0 10.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.548 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.548 * [taylor]: Taking taylor expansion of -1/2 in J 10.548 * [backup-simplify]: Simplify -1/2 into -1/2 10.548 * [taylor]: Taking taylor expansion of K in J 10.548 * [backup-simplify]: Simplify K into K 10.548 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.548 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.549 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.549 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.549 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.549 * [taylor]: Taking taylor expansion of 1 in J 10.549 * [backup-simplify]: Simplify 1 into 1 10.549 * [taylor]: Taking taylor expansion of 1 in J 10.549 * [backup-simplify]: Simplify 1 into 1 10.549 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.549 * [taylor]: Taking taylor expansion of 1/2 in J 10.549 * [backup-simplify]: Simplify 1/2 into 1/2 10.549 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.549 * [taylor]: Taking taylor expansion of J in J 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify 1 into 1 10.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.549 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.549 * [taylor]: Taking taylor expansion of -1/2 in J 10.549 * [backup-simplify]: Simplify -1/2 into -1/2 10.549 * [taylor]: Taking taylor expansion of K in J 10.549 * [backup-simplify]: Simplify K into K 10.549 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.550 * [taylor]: Taking taylor expansion of U in J 10.550 * [backup-simplify]: Simplify U into U 10.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.550 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.550 * [backup-simplify]: Simplify (- 0) into 0 10.550 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.551 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.551 * [taylor]: Taking taylor expansion of 1/2 in J 10.551 * [backup-simplify]: Simplify 1/2 into 1/2 10.551 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.551 * [taylor]: Taking taylor expansion of J in J 10.551 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify 1 into 1 10.551 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.551 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.551 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.551 * [taylor]: Taking taylor expansion of -1/2 in J 10.551 * [backup-simplify]: Simplify -1/2 into -1/2 10.551 * [taylor]: Taking taylor expansion of K in J 10.551 * [backup-simplify]: Simplify K into K 10.551 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.551 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.551 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.551 * [taylor]: Taking taylor expansion of U in J 10.551 * [backup-simplify]: Simplify U into U 10.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.551 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.552 * [backup-simplify]: Simplify (- 0) into 0 10.552 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.552 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.552 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.553 * [backup-simplify]: Simplify (* 1 1) into 1 10.553 * [backup-simplify]: Simplify (+ 1 0) into 1 10.554 * [backup-simplify]: Simplify (sqrt 1) into 1 10.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.555 * [backup-simplify]: Simplify (+ 0 0) into 0 10.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.555 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.556 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.556 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.556 * [taylor]: Taking taylor expansion of -1/2 in U 10.556 * [backup-simplify]: Simplify -1/2 into -1/2 10.556 * [taylor]: Taking taylor expansion of K in U 10.556 * [backup-simplify]: Simplify K into K 10.556 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.556 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.556 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.556 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.556 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.556 * [taylor]: Taking taylor expansion of 1 in U 10.556 * [backup-simplify]: Simplify 1 into 1 10.556 * [taylor]: Taking taylor expansion of 1 in U 10.556 * [backup-simplify]: Simplify 1 into 1 10.556 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.556 * [taylor]: Taking taylor expansion of 1/2 in U 10.556 * [backup-simplify]: Simplify 1/2 into 1/2 10.556 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.556 * [taylor]: Taking taylor expansion of J in U 10.556 * [backup-simplify]: Simplify J into J 10.556 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.556 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.556 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.556 * [taylor]: Taking taylor expansion of -1/2 in U 10.557 * [backup-simplify]: Simplify -1/2 into -1/2 10.557 * [taylor]: Taking taylor expansion of K in U 10.557 * [backup-simplify]: Simplify K into K 10.557 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.557 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.557 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.557 * [taylor]: Taking taylor expansion of U in U 10.557 * [backup-simplify]: Simplify 0 into 0 10.557 * [backup-simplify]: Simplify 1 into 1 10.557 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.557 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.558 * [backup-simplify]: Simplify (- 0) into 0 10.558 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.558 * [backup-simplify]: Simplify (+ 0) into 0 10.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.561 * [backup-simplify]: Simplify (- 0) into 0 10.561 * [backup-simplify]: Simplify (+ 0 0) into 0 10.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.562 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.562 * [taylor]: Taking taylor expansion of 1/2 in U 10.562 * [backup-simplify]: Simplify 1/2 into 1/2 10.562 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.562 * [taylor]: Taking taylor expansion of J in U 10.562 * [backup-simplify]: Simplify J into J 10.562 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.562 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.562 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.562 * [taylor]: Taking taylor expansion of -1/2 in U 10.563 * [backup-simplify]: Simplify -1/2 into -1/2 10.563 * [taylor]: Taking taylor expansion of K in U 10.563 * [backup-simplify]: Simplify K into K 10.563 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.563 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.563 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.563 * [taylor]: Taking taylor expansion of U in U 10.563 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify 1 into 1 10.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.563 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.564 * [backup-simplify]: Simplify (- 0) into 0 10.564 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.564 * [backup-simplify]: Simplify (+ 0) into 0 10.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.567 * [backup-simplify]: Simplify (- 0) into 0 10.567 * [backup-simplify]: Simplify (+ 0 0) into 0 10.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.568 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.568 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.568 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.568 * [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))) 10.569 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.569 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.571 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.571 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.572 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.572 * [backup-simplify]: Simplify (- 0) into 0 10.573 * [backup-simplify]: Simplify (+ 0 0) into 0 10.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.574 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.577 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.578 * [backup-simplify]: Simplify (- 0) into 0 10.578 * [backup-simplify]: Simplify (+ 0 0) into 0 10.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.579 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.579 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.579 * [backup-simplify]: Simplify (+ 0 0) into 0 10.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.580 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.580 * [taylor]: Taking taylor expansion of -1/2 in U 10.580 * [backup-simplify]: Simplify -1/2 into -1/2 10.580 * [taylor]: Taking taylor expansion of K in U 10.580 * [backup-simplify]: Simplify K into K 10.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.580 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.580 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.580 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.580 * [taylor]: Taking taylor expansion of 1 in U 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [taylor]: Taking taylor expansion of 1 in U 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.580 * [taylor]: Taking taylor expansion of 1/2 in U 10.580 * [backup-simplify]: Simplify 1/2 into 1/2 10.580 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.580 * [taylor]: Taking taylor expansion of J in U 10.580 * [backup-simplify]: Simplify J into J 10.580 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.580 * [taylor]: Taking taylor expansion of -1/2 in U 10.580 * [backup-simplify]: Simplify -1/2 into -1/2 10.580 * [taylor]: Taking taylor expansion of K in U 10.580 * [backup-simplify]: Simplify K into K 10.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.580 * [taylor]: Taking taylor expansion of U in U 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.581 * [backup-simplify]: Simplify (- 0) into 0 10.581 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.581 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.581 * [backup-simplify]: Simplify (+ 0) into 0 10.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.581 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.582 * [backup-simplify]: Simplify (- 0) into 0 10.583 * [backup-simplify]: Simplify (+ 0 0) into 0 10.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.583 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.583 * [taylor]: Taking taylor expansion of 1/2 in U 10.583 * [backup-simplify]: Simplify 1/2 into 1/2 10.583 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.583 * [taylor]: Taking taylor expansion of J in U 10.583 * [backup-simplify]: Simplify J into J 10.583 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.583 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.583 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.583 * [taylor]: Taking taylor expansion of -1/2 in U 10.583 * [backup-simplify]: Simplify -1/2 into -1/2 10.583 * [taylor]: Taking taylor expansion of K in U 10.583 * [backup-simplify]: Simplify K into K 10.583 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.583 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.583 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.583 * [taylor]: Taking taylor expansion of U in U 10.583 * [backup-simplify]: Simplify 0 into 0 10.583 * [backup-simplify]: Simplify 1 into 1 10.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.583 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.584 * [backup-simplify]: Simplify (- 0) into 0 10.584 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.584 * [backup-simplify]: Simplify (+ 0) into 0 10.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.585 * [backup-simplify]: Simplify (- 0) into 0 10.586 * [backup-simplify]: Simplify (+ 0 0) into 0 10.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.586 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.586 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.586 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.586 * [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))) 10.586 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.586 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.589 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify (+ 0 0) into 0 10.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.589 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.592 * [backup-simplify]: Simplify (- 0) into 0 10.592 * [backup-simplify]: Simplify (+ 0 0) into 0 10.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.593 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.593 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.593 * [backup-simplify]: Simplify (+ 0 0) into 0 10.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.594 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.594 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.594 * [backup-simplify]: Simplify (- 0) into 0 10.594 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.594 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.594 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 10.594 * [taylor]: Taking taylor expansion of 1/2 in J 10.594 * [backup-simplify]: Simplify 1/2 into 1/2 10.594 * [taylor]: Taking taylor expansion of J in J 10.594 * [backup-simplify]: Simplify 0 into 0 10.594 * [backup-simplify]: Simplify 1 into 1 10.594 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.594 * [taylor]: Taking taylor expansion of 0 in K 10.594 * [backup-simplify]: Simplify 0 into 0 10.594 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify (+ 0) into 0 10.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.596 * [backup-simplify]: Simplify (- 0) into 0 10.598 * [backup-simplify]: Simplify (+ 0 0) into 0 10.598 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.598 * [taylor]: Taking taylor expansion of 0 in J 10.598 * [backup-simplify]: Simplify 0 into 0 10.598 * [taylor]: Taking taylor expansion of 0 in K 10.598 * [backup-simplify]: Simplify 0 into 0 10.598 * [backup-simplify]: Simplify 0 into 0 10.599 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.599 * [taylor]: Taking taylor expansion of 1/2 in K 10.599 * [backup-simplify]: Simplify 1/2 into 1/2 10.599 * [backup-simplify]: Simplify 1/2 into 1/2 10.599 * [backup-simplify]: Simplify 0 into 0 10.599 * [backup-simplify]: Simplify (* 1 1) into 1 10.599 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.600 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.602 * [backup-simplify]: Simplify (- 0) into 0 10.602 * [backup-simplify]: Simplify (+ 0 0) into 0 10.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.602 * [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 10.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.604 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.604 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.606 * [backup-simplify]: Simplify (- 0) into 0 10.607 * [backup-simplify]: Simplify (+ 0 0) into 0 10.607 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.608 * [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 10.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.609 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 10.610 * [backup-simplify]: Simplify (+ 1 0) into 1 10.611 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.614 * [backup-simplify]: Simplify (- 0) into 0 10.615 * [backup-simplify]: Simplify (+ 0 0) into 0 10.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 10.616 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 10.616 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.616 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.616 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.616 * [taylor]: Taking taylor expansion of -1/2 in J 10.616 * [backup-simplify]: Simplify -1/2 into -1/2 10.616 * [taylor]: Taking taylor expansion of K in J 10.616 * [backup-simplify]: Simplify K into K 10.616 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.616 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.616 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.616 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.616 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.617 * [backup-simplify]: Simplify (- 0) into 0 10.617 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.617 * [taylor]: Taking taylor expansion of J in J 10.617 * [backup-simplify]: Simplify 0 into 0 10.617 * [backup-simplify]: Simplify 1 into 1 10.617 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.618 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.618 * [backup-simplify]: Simplify (+ 0) into 0 10.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.620 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.620 * [backup-simplify]: Simplify (- 0) into 0 10.621 * [backup-simplify]: Simplify (+ 0 0) into 0 10.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 10.622 * [taylor]: Taking taylor expansion of 0 in K 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [taylor]: Taking taylor expansion of 0 in K 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.623 * [taylor]: Taking taylor expansion of 0 in K 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.624 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 10.624 * * * [progress]: simplifying candidates 10.624 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 10.624 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 10.624 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 10.624 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.624 * * [simplify]: iters left: 6 (15 enodes) 10.633 * * [simplify]: iters left: 5 (60 enodes) 10.653 * * [simplify]: iters left: 4 (102 enodes) 10.684 * * [simplify]: iters left: 3 (152 enodes) 10.725 * * [simplify]: iters left: 2 (171 enodes) 10.759 * * [simplify]: Extracting #0: cost 1 inf + 0 10.759 * * [simplify]: Extracting #1: cost 16 inf + 0 10.759 * * [simplify]: Extracting #2: cost 28 inf + 44 10.759 * * [simplify]: Extracting #3: cost 37 inf + 87 10.759 * * [simplify]: Extracting #4: cost 41 inf + 174 10.759 * * [simplify]: Extracting #5: cost 31 inf + 1829 10.761 * * [simplify]: Extracting #6: cost 5 inf + 7755 10.763 * * [simplify]: Extracting #7: cost 0 inf + 9302 10.766 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 10.766 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 10.766 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 10.766 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.766 * * [simplify]: iters left: 6 (15 enodes) 10.771 * * [simplify]: iters left: 5 (60 enodes) 10.783 * * [simplify]: iters left: 4 (102 enodes) 10.811 * * [simplify]: iters left: 3 (152 enodes) 10.834 * * [simplify]: iters left: 2 (171 enodes) 10.868 * * [simplify]: Extracting #0: cost 1 inf + 0 10.868 * * [simplify]: Extracting #1: cost 16 inf + 0 10.868 * * [simplify]: Extracting #2: cost 28 inf + 44 10.869 * * [simplify]: Extracting #3: cost 37 inf + 87 10.869 * * [simplify]: Extracting #4: cost 41 inf + 174 10.870 * * [simplify]: Extracting #5: cost 31 inf + 1829 10.871 * * [simplify]: Extracting #6: cost 5 inf + 7755 10.873 * * [simplify]: Extracting #7: cost 0 inf + 9302 10.875 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 10.876 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 10.876 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 10.876 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.876 * * [simplify]: iters left: 6 (15 enodes) 10.880 * * [simplify]: iters left: 5 (60 enodes) 10.890 * * [simplify]: iters left: 4 (102 enodes) 10.910 * * [simplify]: iters left: 3 (152 enodes) 10.949 * * [simplify]: iters left: 2 (171 enodes) 10.971 * * [simplify]: Extracting #0: cost 1 inf + 0 10.971 * * [simplify]: Extracting #1: cost 16 inf + 0 10.971 * * [simplify]: Extracting #2: cost 28 inf + 44 10.971 * * [simplify]: Extracting #3: cost 37 inf + 87 10.971 * * [simplify]: Extracting #4: cost 41 inf + 174 10.971 * * [simplify]: Extracting #5: cost 31 inf + 1829 10.973 * * [simplify]: Extracting #6: cost 5 inf + 7755 10.975 * * [simplify]: Extracting #7: cost 0 inf + 9302 10.977 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 10.977 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 10.978 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 10.978 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.978 * * [simplify]: iters left: 6 (15 enodes) 10.982 * * [simplify]: iters left: 5 (60 enodes) 11.000 * * [simplify]: iters left: 4 (102 enodes) 11.037 * * [simplify]: iters left: 3 (152 enodes) 11.080 * * [simplify]: iters left: 2 (171 enodes) 11.115 * * [simplify]: Extracting #0: cost 1 inf + 0 11.115 * * [simplify]: Extracting #1: cost 16 inf + 0 11.115 * * [simplify]: Extracting #2: cost 28 inf + 44 11.115 * * [simplify]: Extracting #3: cost 37 inf + 87 11.115 * * [simplify]: Extracting #4: cost 41 inf + 174 11.116 * * [simplify]: Extracting #5: cost 31 inf + 1829 11.117 * * [simplify]: Extracting #6: cost 5 inf + 7755 11.119 * * [simplify]: Extracting #7: cost 0 inf + 9302 11.121 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 11.121 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 11.122 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 11.122 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 11.122 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 11.122 * * [simplify]: iters left: 6 (19 enodes) 11.127 * * [simplify]: iters left: 5 (72 enodes) 11.142 * * [simplify]: iters left: 4 (115 enodes) 11.181 * * [simplify]: iters left: 3 (168 enodes) 11.210 * * [simplify]: iters left: 2 (188 enodes) 11.238 * * [simplify]: Extracting #0: cost 1 inf + 0 11.238 * * [simplify]: Extracting #1: cost 16 inf + 0 11.238 * * [simplify]: Extracting #2: cost 34 inf + 0 11.238 * * [simplify]: Extracting #3: cost 34 inf + 215 11.239 * * [simplify]: Extracting #4: cost 41 inf + 651 11.239 * * [simplify]: Extracting #5: cost 41 inf + 1491 11.243 * * [simplify]: Extracting #6: cost 15 inf + 10214 11.248 * * [simplify]: Extracting #7: cost 2 inf + 13584 11.254 * * [simplify]: Extracting #8: cost 0 inf + 14836 11.258 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (cos (/ K 2)))) 11.258 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (cos (/ K 2)))))) 11.258 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 11.258 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (cos (/ K 2)))) (log (* -2 J))) 11.259 * * [simplify]: iters left: 6 (18 enodes) 11.265 * * [simplify]: iters left: 5 (70 enodes) 11.277 * * [simplify]: iters left: 4 (109 enodes) 11.298 * * [simplify]: iters left: 3 (161 enodes) 11.344 * * [simplify]: iters left: 2 (192 enodes) 11.368 * * [simplify]: Extracting #0: cost 1 inf + 0 11.368 * * [simplify]: Extracting #1: cost 16 inf + 0 11.368 * * [simplify]: Extracting #2: cost 35 inf + 0 11.368 * * [simplify]: Extracting #3: cost 33 inf + 440 11.369 * * [simplify]: Extracting #4: cost 41 inf + 595 11.369 * * [simplify]: Extracting #5: cost 41 inf + 1435 11.372 * * [simplify]: Extracting #6: cost 16 inf + 9281 11.377 * * [simplify]: Extracting #7: cost 0 inf + 14360 11.383 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))) 11.383 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))))) 11.383 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 11.384 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (+ (log -2) (log J))) 11.384 * * [simplify]: iters left: 6 (18 enodes) 11.394 * * [simplify]: iters left: 5 (70 enodes) 11.407 * * [simplify]: iters left: 4 (109 enodes) 11.425 * * [simplify]: iters left: 3 (161 enodes) 11.449 * * [simplify]: iters left: 2 (193 enodes) 11.484 * * [simplify]: Extracting #0: cost 1 inf + 0 11.484 * * [simplify]: Extracting #1: cost 16 inf + 0 11.484 * * [simplify]: Extracting #2: cost 35 inf + 0 11.484 * * [simplify]: Extracting #3: cost 38 inf + 73 11.485 * * [simplify]: Extracting #4: cost 44 inf + 469 11.485 * * [simplify]: Extracting #5: cost 43 inf + 1491 11.489 * * [simplify]: Extracting #6: cost 13 inf + 11392 11.495 * * [simplify]: Extracting #7: cost 0 inf + 14916 11.500 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) 11.501 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log J)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))))) 11.501 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 11.501 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (log (* -2 J))) 11.502 * * [simplify]: iters left: 6 (17 enodes) 11.511 * * [simplify]: iters left: 5 (68 enodes) 11.526 * * [simplify]: iters left: 4 (106 enodes) 11.542 * * [simplify]: iters left: 3 (153 enodes) 11.583 * * [simplify]: iters left: 2 (186 enodes) 11.628 * * [simplify]: iters left: 1 (191 enodes) 11.677 * * [simplify]: Extracting #0: cost 1 inf + 0 11.677 * * [simplify]: Extracting #1: cost 16 inf + 0 11.677 * * [simplify]: Extracting #2: cost 36 inf + 0 11.677 * * [simplify]: Extracting #3: cost 40 inf + 73 11.678 * * [simplify]: Extracting #4: cost 46 inf + 370 11.678 * * [simplify]: Extracting #5: cost 45 inf + 1291 11.681 * * [simplify]: Extracting #6: cost 19 inf + 8305 11.686 * * [simplify]: Extracting #7: cost 2 inf + 13478 11.692 * * [simplify]: Extracting #8: cost 0 inf + 14440 11.698 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) 11.698 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J -2)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))))) 11.698 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 11.698 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 11.698 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 11.699 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 11.699 * * [simplify]: iters left: 6 (23 enodes) 11.717 * * [simplify]: iters left: 5 (97 enodes) 11.743 * * [simplify]: iters left: 4 (231 enodes) 11.833 * * [simplify]: Extracting #0: cost 1 inf + 0 11.833 * * [simplify]: Extracting #1: cost 59 inf + 0 11.834 * * [simplify]: Extracting #2: cost 268 inf + 208 11.835 * * [simplify]: Extracting #3: cost 268 inf + 1688 11.837 * * [simplify]: Extracting #4: cost 231 inf + 9014 11.845 * * [simplify]: Extracting #5: cost 120 inf + 43018 11.873 * * [simplify]: Extracting #6: cost 6 inf + 97334 11.915 * * [simplify]: Extracting #7: cost 0 inf + 97819 11.945 * * [simplify]: Extracting #8: cost 0 inf + 97739 11.981 * [simplify]: Simplified to (* (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))))) (* (* J -8) (* J J))) 11.981 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))))) (* (* J -8) (* J J))))) 11.981 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 11.982 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 11.982 * * [simplify]: iters left: 6 (21 enodes) 11.988 * * [simplify]: iters left: 5 (95 enodes) 12.010 * * [simplify]: iters left: 4 (231 enodes) 12.093 * * [simplify]: Extracting #0: cost 1 inf + 0 12.094 * * [simplify]: Extracting #1: cost 56 inf + 0 12.094 * * [simplify]: Extracting #2: cost 221 inf + 86 12.095 * * [simplify]: Extracting #3: cost 219 inf + 1611 12.097 * * [simplify]: Extracting #4: cost 188 inf + 7742 12.105 * * [simplify]: Extracting #5: cost 105 inf + 36033 12.140 * * [simplify]: Extracting #6: cost 11 inf + 81281 12.164 * * [simplify]: Extracting #7: cost 0 inf + 85411 12.189 * * [simplify]: Extracting #8: cost 0 inf + 83971 12.235 * * [simplify]: Extracting #9: cost 0 inf + 83851 12.276 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) (* (* (* J J) -8) J)) 12.276 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) (* (* (* J J) -8) J)))) 12.276 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 12.277 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 12.277 * * [simplify]: iters left: 6 (21 enodes) 12.284 * * [simplify]: iters left: 5 (96 enodes) 12.306 * * [simplify]: iters left: 4 (242 enodes) 12.401 * * [simplify]: Extracting #0: cost 1 inf + 0 12.401 * * [simplify]: Extracting #1: cost 52 inf + 0 12.402 * * [simplify]: Extracting #2: cost 230 inf + 45 12.403 * * [simplify]: Extracting #3: cost 243 inf + 704 12.404 * * [simplify]: Extracting #4: cost 224 inf + 3959 12.409 * * [simplify]: Extracting #5: cost 159 inf + 24237 12.429 * * [simplify]: Extracting #6: cost 23 inf + 83965 12.465 * * [simplify]: Extracting #7: cost 0 inf + 95303 12.504 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) (* (* (* J J) -8) J)) 12.504 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) (* (* (* J J) -8) J)))) 12.504 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 12.505 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 12.505 * * [simplify]: iters left: 6 (19 enodes) 12.517 * * [simplify]: iters left: 5 (93 enodes) 12.547 * * [simplify]: iters left: 4 (238 enodes) 12.633 * * [simplify]: Extracting #0: cost 1 inf + 0 12.633 * * [simplify]: Extracting #1: cost 55 inf + 0 12.634 * * [simplify]: Extracting #2: cost 241 inf + 168 12.635 * * [simplify]: Extracting #3: cost 233 inf + 2012 12.639 * * [simplify]: Extracting #4: cost 232 inf + 2690 12.643 * * [simplify]: Extracting #5: cost 178 inf + 18264 12.661 * * [simplify]: Extracting #6: cost 32 inf + 80674 12.685 * * [simplify]: Extracting #7: cost 0 inf + 95502 12.715 * * [simplify]: Extracting #8: cost 0 inf + 95462 12.763 * [simplify]: Simplified to (* (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) (* J -2)) (* (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) (* J -2)) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) (* J -2)))) 12.763 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) (* J -2)) (* (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) (* J -2)) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) (* J -2)))))) 12.763 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 12.763 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 12.763 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 12.763 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 12.763 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 12.764 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 12.765 * [simplify]: Simplifying (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 12.765 * * [simplify]: iters left: 6 (11 enodes) 12.771 * * [simplify]: iters left: 5 (41 enodes) 12.784 * * [simplify]: iters left: 4 (61 enodes) 12.802 * * [simplify]: iters left: 3 (78 enodes) 12.823 * * [simplify]: iters left: 2 (83 enodes) 12.845 * * [simplify]: Extracting #0: cost 1 inf + 0 12.845 * * [simplify]: Extracting #1: cost 4 inf + 0 12.845 * * [simplify]: Extracting #2: cost 14 inf + 1 12.845 * * [simplify]: Extracting #3: cost 22 inf + 46 12.845 * * [simplify]: Extracting #4: cost 23 inf + 338 12.845 * * [simplify]: Extracting #5: cost 19 inf + 465 12.846 * * [simplify]: Extracting #6: cost 8 inf + 2055 12.846 * * [simplify]: Extracting #7: cost 0 inf + 3675 12.847 * [simplify]: Simplified to (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) 12.847 * [simplify]: Simplified (2 1) to (λ (J K U) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cos (/ K 2)) (* -2 J)))) 12.847 * * * * [progress]: [ 24 / 105 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)))))> 12.847 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 12.847 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 12.847 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 12.847 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 12.848 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 12.848 * * [simplify]: iters left: 6 (7 enodes) 12.850 * * [simplify]: iters left: 5 (25 enodes) 12.854 * * [simplify]: iters left: 4 (33 enodes) 12.859 * * [simplify]: iters left: 3 (39 enodes) 12.864 * * [simplify]: Extracting #0: cost 1 inf + 0 12.864 * * [simplify]: Extracting #1: cost 8 inf + 0 12.864 * * [simplify]: Extracting #2: cost 11 inf + 2 12.864 * * [simplify]: Extracting #3: cost 12 inf + 44 12.864 * * [simplify]: Extracting #4: cost 8 inf + 171 12.864 * * [simplify]: Extracting #5: cost 3 inf + 843 12.865 * * [simplify]: Extracting #6: cost 0 inf + 1311 12.865 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 12.865 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (cos (/ K 2))) (* -2 J))) 12.865 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 12.865 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 12.865 * * [simplify]: iters left: 6 (7 enodes) 12.867 * * [simplify]: iters left: 5 (25 enodes) 12.871 * * [simplify]: iters left: 4 (33 enodes) 12.880 * * [simplify]: iters left: 3 (39 enodes) 12.892 * * [simplify]: Extracting #0: cost 1 inf + 0 12.892 * * [simplify]: Extracting #1: cost 8 inf + 0 12.892 * * [simplify]: Extracting #2: cost 11 inf + 2 12.892 * * [simplify]: Extracting #3: cost 12 inf + 44 12.892 * * [simplify]: Extracting #4: cost 8 inf + 171 12.892 * * [simplify]: Extracting #5: cost 3 inf + 843 12.893 * * [simplify]: Extracting #6: cost 0 inf + 1311 12.893 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 12.894 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (cos (/ K 2))) (* -2 J))) 12.894 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 12.894 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 12.894 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 12.894 * * [simplify]: iters left: 6 (10 enodes) 12.898 * * [simplify]: iters left: 5 (34 enodes) 12.903 * * [simplify]: iters left: 4 (42 enodes) 12.910 * * [simplify]: iters left: 3 (47 enodes) 12.916 * * [simplify]: Extracting #0: cost 1 inf + 0 12.916 * * [simplify]: Extracting #1: cost 8 inf + 0 12.917 * * [simplify]: Extracting #2: cost 17 inf + 0 12.917 * * [simplify]: Extracting #3: cost 15 inf + 144 12.917 * * [simplify]: Extracting #4: cost 16 inf + 215 12.917 * * [simplify]: Extracting #5: cost 9 inf + 837 12.917 * * [simplify]: Extracting #6: cost 1 inf + 2916 12.918 * * [simplify]: Extracting #7: cost 0 inf + 3199 12.918 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 12.918 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (exp (+ (log 2) (+ (log J) (log (cos (/ K 2)))))))) (cos (/ K 2))) (* -2 J))) 12.918 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 12.918 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 12.918 * * [simplify]: iters left: 6 (9 enodes) 12.921 * * [simplify]: iters left: 5 (32 enodes) 12.926 * * [simplify]: iters left: 4 (41 enodes) 12.932 * * [simplify]: iters left: 3 (50 enodes) 12.939 * * [simplify]: Extracting #0: cost 1 inf + 0 12.939 * * [simplify]: Extracting #1: cost 8 inf + 0 12.939 * * [simplify]: Extracting #2: cost 18 inf + 0 12.939 * * [simplify]: Extracting #3: cost 19 inf + 2 12.939 * * [simplify]: Extracting #4: cost 16 inf + 579 12.939 * * [simplify]: Extracting #5: cost 11 inf + 837 12.940 * * [simplify]: Extracting #6: cost 4 inf + 1991 12.940 * * [simplify]: Extracting #7: cost 0 inf + 3203 12.940 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 12.941 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (exp (+ (log (* 2 (cos (/ K 2)))) (log J))))) (cos (/ K 2))) (* -2 J))) 12.941 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 12.941 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 12.941 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 12.941 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 12.941 * * [simplify]: iters left: 6 (13 enodes) 12.947 * * [simplify]: iters left: 5 (53 enodes) 12.966 * * [simplify]: iters left: 4 (132 enodes) 13.002 * * [simplify]: iters left: 3 (429 enodes) 13.249 * * [simplify]: Extracting #0: cost 1 inf + 0 13.249 * * [simplify]: Extracting #1: cost 91 inf + 0 13.250 * * [simplify]: Extracting #2: cost 246 inf + 87 13.252 * * [simplify]: Extracting #3: cost 220 inf + 2827 13.256 * * [simplify]: Extracting #4: cost 139 inf + 22133 13.280 * * [simplify]: Extracting #5: cost 13 inf + 55236 13.303 * * [simplify]: Extracting #6: cost 0 inf + 57862 13.316 * * [simplify]: Extracting #7: cost 0 inf + 57822 13.331 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 13.331 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 13.331 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 13.331 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 13.332 * * [simplify]: iters left: 6 (11 enodes) 13.336 * * [simplify]: iters left: 5 (51 enodes) 13.356 * * [simplify]: iters left: 4 (123 enodes) 13.402 * * [simplify]: iters left: 3 (378 enodes) 13.733 * * [simplify]: Extracting #0: cost 1 inf + 0 13.733 * * [simplify]: Extracting #1: cost 70 inf + 0 13.735 * * [simplify]: Extracting #2: cost 183 inf + 248 13.738 * * [simplify]: Extracting #3: cost 165 inf + 2757 13.745 * * [simplify]: Extracting #4: cost 101 inf + 18508 13.767 * * [simplify]: Extracting #5: cost 7 inf + 44227 13.794 * * [simplify]: Extracting #6: cost 0 inf + 45950 13.819 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 13.819 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J))))) (cos (/ K 2))) (* -2 J))) 13.820 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 13.820 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 13.820 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 13.820 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 13.820 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 13.820 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 13.820 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 13.821 * * [simplify]: iters left: 3 (3 enodes) 13.822 * * [simplify]: iters left: 2 (9 enodes) 13.825 * * [simplify]: Extracting #0: cost 1 inf + 0 13.825 * * [simplify]: Extracting #1: cost 3 inf + 0 13.825 * * [simplify]: Extracting #2: cost 5 inf + 0 13.825 * * [simplify]: Extracting #3: cost 4 inf + 1 13.825 * * [simplify]: Extracting #4: cost 0 inf + 405 13.825 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 13.825 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 13.825 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 13.825 * [simplify]: Simplifying (sqrt J) 13.825 * * [simplify]: iters left: 1 (2 enodes) 13.826 * * [simplify]: Extracting #0: cost 1 inf + 0 13.826 * * [simplify]: Extracting #1: cost 3 inf + 0 13.826 * * [simplify]: Extracting #2: cost 2 inf + 1 13.827 * * [simplify]: Extracting #3: cost 0 inf + 83 13.827 * [simplify]: Simplified to (sqrt J) 13.827 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 13.827 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 13.827 * * * * [progress]: [ 45 / 105 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> 13.827 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 13.827 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 13.827 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 13.827 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 13.827 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 13.827 * [simplify]: Simplifying (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 13.828 * * [simplify]: iters left: 6 (13 enodes) 13.836 * * [simplify]: iters left: 5 (47 enodes) 13.844 * * [simplify]: iters left: 4 (77 enodes) 13.857 * * [simplify]: iters left: 3 (142 enodes) 13.888 * * [simplify]: iters left: 2 (244 enodes) 13.962 * * [simplify]: iters left: 1 (389 enodes) 14.097 * * [simplify]: Extracting #0: cost 1 inf + 0 14.097 * * [simplify]: Extracting #1: cost 43 inf + 0 14.098 * * [simplify]: Extracting #2: cost 85 inf + 0 14.099 * * [simplify]: Extracting #3: cost 78 inf + 509 14.100 * * [simplify]: Extracting #4: cost 62 inf + 3772 14.103 * * [simplify]: Extracting #5: cost 40 inf + 8371 14.109 * * [simplify]: Extracting #6: cost 9 inf + 19264 14.115 * * [simplify]: Extracting #7: cost 0 inf + 22854 14.120 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 14.120 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))))) (cos (/ K 2))) (* -2 J))) 14.120 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 14.120 * [simplify]: Simplifying (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 14.120 * * [simplify]: iters left: 6 (12 enodes) 14.124 * * [simplify]: iters left: 5 (45 enodes) 14.131 * * [simplify]: iters left: 4 (69 enodes) 14.143 * * [simplify]: iters left: 3 (118 enodes) 14.166 * * [simplify]: iters left: 2 (207 enodes) 14.237 * * [simplify]: iters left: 1 (350 enodes) 14.338 * * [simplify]: Extracting #0: cost 1 inf + 0 14.338 * * [simplify]: Extracting #1: cost 41 inf + 0 14.339 * * [simplify]: Extracting #2: cost 80 inf + 0 14.339 * * [simplify]: Extracting #3: cost 70 inf + 1095 14.341 * * [simplify]: Extracting #4: cost 52 inf + 5095 14.343 * * [simplify]: Extracting #5: cost 38 inf + 7394 14.346 * * [simplify]: Extracting #6: cost 16 inf + 14208 14.350 * * [simplify]: Extracting #7: cost 0 inf + 19711 14.354 * [simplify]: Simplified to (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 14.354 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J))) 14.354 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 14.354 * [simplify]: Simplifying (- (log U) (log (* J (* (cos (/ K 2)) 2)))) 14.355 * * [simplify]: iters left: 6 (11 enodes) 14.357 * * [simplify]: iters left: 5 (42 enodes) 14.364 * * [simplify]: iters left: 4 (69 enodes) 14.375 * * [simplify]: iters left: 3 (114 enodes) 14.408 * * [simplify]: iters left: 2 (185 enodes) 14.451 * * [simplify]: iters left: 1 (294 enodes) 14.556 * * [simplify]: Extracting #0: cost 1 inf + 0 14.556 * * [simplify]: Extracting #1: cost 54 inf + 0 14.556 * * [simplify]: Extracting #2: cost 108 inf + 0 14.557 * * [simplify]: Extracting #3: cost 107 inf + 327 14.557 * * [simplify]: Extracting #4: cost 86 inf + 3544 14.559 * * [simplify]: Extracting #5: cost 62 inf + 8359 14.566 * * [simplify]: Extracting #6: cost 21 inf + 20747 14.576 * * [simplify]: Extracting #7: cost 0 inf + 27400 14.586 * * [simplify]: Extracting #8: cost 0 inf + 27050 14.596 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 14.596 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 14.596 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 14.596 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 14.596 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 14.597 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 14.597 * * [simplify]: iters left: 6 (17 enodes) 14.607 * * [simplify]: iters left: 5 (74 enodes) 14.623 * * [simplify]: iters left: 4 (218 enodes) 14.777 * * [simplify]: Extracting #0: cost 1 inf + 0 14.777 * * [simplify]: Extracting #1: cost 173 inf + 0 14.780 * * [simplify]: Extracting #2: cost 367 inf + 2039 14.791 * * [simplify]: Extracting #3: cost 314 inf + 9518 14.807 * * [simplify]: Extracting #4: cost 137 inf + 52354 14.827 * * [simplify]: Extracting #5: cost 2 inf + 91480 14.865 * * [simplify]: Extracting #6: cost 0 inf + 91928 14.888 * [simplify]: Simplified to (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 14.888 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 14.888 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 14.888 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 14.888 * * [simplify]: iters left: 6 (15 enodes) 14.893 * * [simplify]: iters left: 5 (71 enodes) 14.924 * * [simplify]: iters left: 4 (218 enodes) 15.063 * * [simplify]: Extracting #0: cost 1 inf + 0 15.064 * * [simplify]: Extracting #1: cost 159 inf + 0 15.065 * * [simplify]: Extracting #2: cost 369 inf + 1023 15.068 * * [simplify]: Extracting #3: cost 331 inf + 6901 15.077 * * [simplify]: Extracting #4: cost 161 inf + 51690 15.110 * * [simplify]: Extracting #5: cost 6 inf + 97480 15.149 * * [simplify]: Extracting #6: cost 0 inf + 98543 15.189 * [simplify]: Simplified to (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))) 15.189 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J))) 15.189 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 15.189 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 15.189 * * [simplify]: iters left: 6 (13 enodes) 15.193 * * [simplify]: iters left: 5 (61 enodes) 15.210 * * [simplify]: iters left: 4 (231 enodes) 15.397 * * [simplify]: Extracting #0: cost 1 inf + 0 15.397 * * [simplify]: Extracting #1: cost 188 inf + 0 15.400 * * [simplify]: Extracting #2: cost 413 inf + 741 15.405 * * [simplify]: Extracting #3: cost 387 inf + 5457 15.426 * * [simplify]: Extracting #4: cost 186 inf + 57444 15.478 * * [simplify]: Extracting #5: cost 3 inf + 111030 15.508 * * [simplify]: Extracting #6: cost 0 inf + 111016 15.544 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 15.544 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 15.544 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 15.544 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 15.544 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 15.544 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 15.544 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 15.544 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) J) 15.545 * * [simplify]: iters left: 5 (5 enodes) 15.546 * * [simplify]: iters left: 4 (17 enodes) 15.548 * * [simplify]: iters left: 3 (21 enodes) 15.551 * * [simplify]: iters left: 2 (24 enodes) 15.556 * * [simplify]: Extracting #0: cost 1 inf + 0 15.556 * * [simplify]: Extracting #1: cost 7 inf + 0 15.556 * * [simplify]: Extracting #2: cost 11 inf + 1 15.556 * * [simplify]: Extracting #3: cost 10 inf + 2 15.557 * * [simplify]: Extracting #4: cost 0 inf + 1218 15.557 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) J) 15.557 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 15.558 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) 2)) 15.558 * * [simplify]: iters left: 6 (8 enodes) 15.563 * * [simplify]: iters left: 5 (27 enodes) 15.572 * * [simplify]: iters left: 4 (31 enodes) 15.581 * * [simplify]: iters left: 3 (33 enodes) 15.592 * * [simplify]: Extracting #0: cost 1 inf + 0 15.592 * * [simplify]: Extracting #1: cost 8 inf + 0 15.592 * * [simplify]: Extracting #2: cost 14 inf + 1 15.592 * * [simplify]: Extracting #3: cost 15 inf + 2 15.593 * * [simplify]: Extracting #4: cost 10 inf + 270 15.593 * * [simplify]: Extracting #5: cost 1 inf + 1690 15.593 * * [simplify]: Extracting #6: cost 0 inf + 1953 15.594 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) 2) 15.594 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (/ (cbrt U) (cos (/ K 2))) 2))) (cos (/ K 2))) (* -2 J))) 15.594 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 15.595 * [simplify]: Simplifying (/ (sqrt U) J) 15.595 * * [simplify]: iters left: 3 (4 enodes) 15.596 * * [simplify]: iters left: 2 (12 enodes) 15.600 * * [simplify]: Extracting #0: cost 1 inf + 0 15.600 * * [simplify]: Extracting #1: cost 4 inf + 0 15.601 * * [simplify]: Extracting #2: cost 5 inf + 1 15.601 * * [simplify]: Extracting #3: cost 4 inf + 2 15.601 * * [simplify]: Extracting #4: cost 0 inf + 248 15.601 * [simplify]: Simplified to (/ (sqrt U) J) 15.601 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 15.601 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) 2)) 15.601 * * [simplify]: iters left: 6 (8 enodes) 15.606 * * [simplify]: iters left: 5 (27 enodes) 15.612 * * [simplify]: iters left: 4 (31 enodes) 15.616 * * [simplify]: iters left: 3 (33 enodes) 15.621 * * [simplify]: Extracting #0: cost 1 inf + 0 15.621 * * [simplify]: Extracting #1: cost 8 inf + 0 15.621 * * [simplify]: Extracting #2: cost 14 inf + 1 15.621 * * [simplify]: Extracting #3: cost 15 inf + 2 15.621 * * [simplify]: Extracting #4: cost 10 inf + 230 15.621 * * [simplify]: Extracting #5: cost 1 inf + 1410 15.622 * * [simplify]: Extracting #6: cost 0 inf + 1633 15.622 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) 2) 15.622 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2))) (cos (/ K 2))) (* -2 J))) 15.622 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 15.622 * [simplify]: Simplifying (/ 1 J) 15.622 * * [simplify]: iters left: 2 (3 enodes) 15.623 * * [simplify]: iters left: 1 (11 enodes) 15.625 * * [simplify]: Extracting #0: cost 1 inf + 0 15.625 * * [simplify]: Extracting #1: cost 4 inf + 0 15.625 * * [simplify]: Extracting #2: cost 2 inf + 2 15.625 * * [simplify]: Extracting #3: cost 0 inf + 86 15.625 * [simplify]: Simplified to (/ 1 J) 15.625 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 J) (/ U (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 15.625 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) 2)) 15.625 * * [simplify]: iters left: 6 (7 enodes) 15.627 * * [simplify]: iters left: 5 (24 enodes) 15.631 * * [simplify]: iters left: 4 (28 enodes) 15.635 * * [simplify]: iters left: 3 (30 enodes) 15.640 * * [simplify]: Extracting #0: cost 1 inf + 0 15.640 * * [simplify]: Extracting #1: cost 8 inf + 0 15.641 * * [simplify]: Extracting #2: cost 11 inf + 2 15.641 * * [simplify]: Extracting #3: cost 11 inf + 86 15.641 * * [simplify]: Extracting #4: cost 8 inf + 171 15.641 * * [simplify]: Extracting #5: cost 2 inf + 986 15.642 * * [simplify]: Extracting #6: cost 0 inf + 1311 15.642 * [simplify]: Simplified to (/ (/ U 2) (cos (/ K 2))) 15.642 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ 1 J) (/ (/ U 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) 15.642 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 15.642 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 15.642 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 15.642 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 15.643 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 15.643 * * [simplify]: iters left: 5 (5 enodes) 15.646 * * [simplify]: iters left: 4 (16 enodes) 15.651 * * [simplify]: Extracting #0: cost 1 inf + 0 15.651 * * [simplify]: Extracting #1: cost 4 inf + 0 15.651 * * [simplify]: Extracting #2: cost 5 inf + 1 15.651 * * [simplify]: Extracting #3: cost 7 inf + 1 15.651 * * [simplify]: Extracting #4: cost 6 inf + 2 15.651 * * [simplify]: Extracting #5: cost 0 inf + 574 15.651 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 15.651 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) 15.651 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 15.652 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 15.652 * * [simplify]: iters left: 3 (3 enodes) 15.653 * * [simplify]: iters left: 2 (9 enodes) 15.656 * * [simplify]: Extracting #0: cost 1 inf + 0 15.656 * * [simplify]: Extracting #1: cost 3 inf + 0 15.656 * * [simplify]: Extracting #2: cost 5 inf + 0 15.656 * * [simplify]: Extracting #3: cost 4 inf + 1 15.656 * * [simplify]: Extracting #4: cost 0 inf + 405 15.656 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 15.656 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)))) (cos (/ K 2))) (* -2 J))) 15.656 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 15.657 * [simplify]: Simplifying (sqrt U) 15.657 * * [simplify]: iters left: 1 (2 enodes) 15.658 * * [simplify]: Extracting #0: cost 1 inf + 0 15.658 * * [simplify]: Extracting #1: cost 3 inf + 0 15.658 * * [simplify]: Extracting #2: cost 2 inf + 1 15.658 * * [simplify]: Extracting #3: cost 0 inf + 83 15.658 * [simplify]: Simplified to (sqrt U) 15.658 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (sqrt U) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)))) (cos (/ K 2))) (* -2 J))) 15.658 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 15.658 * * * * [progress]: [ 72 / 105 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> 15.658 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 15.658 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 15.658 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 15.659 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) 15.659 * * [simplify]: iters left: 6 (12 enodes) 15.665 * * [simplify]: iters left: 5 (45 enodes) 15.681 * * [simplify]: iters left: 4 (65 enodes) 15.700 * * [simplify]: iters left: 3 (82 enodes) 15.723 * * [simplify]: iters left: 2 (87 enodes) 15.745 * * [simplify]: Extracting #0: cost 1 inf + 0 15.745 * * [simplify]: Extracting #1: cost 4 inf + 0 15.745 * * [simplify]: Extracting #2: cost 9 inf + 0 15.746 * * [simplify]: Extracting #3: cost 20 inf + 1 15.746 * * [simplify]: Extracting #4: cost 24 inf + 89 15.746 * * [simplify]: Extracting #5: cost 13 inf + 2170 15.748 * * [simplify]: Extracting #6: cost 1 inf + 4035 15.749 * * [simplify]: Extracting #7: cost 0 inf + 4315 15.751 * [simplify]: Simplified to (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) 15.751 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) 1) (* -2 J))) 15.751 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 15.751 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 15.752 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (cos (/ K 2)))) 15.752 * * [simplify]: iters left: 6 (14 enodes) 15.759 * * [simplify]: iters left: 5 (51 enodes) 15.776 * * [simplify]: iters left: 4 (71 enodes) 15.796 * * [simplify]: iters left: 3 (88 enodes) 15.819 * * [simplify]: iters left: 2 (93 enodes) 15.838 * * [simplify]: Extracting #0: cost 1 inf + 0 15.838 * * [simplify]: Extracting #1: cost 4 inf + 0 15.838 * * [simplify]: Extracting #2: cost 8 inf + 0 15.838 * * [simplify]: Extracting #3: cost 13 inf + 0 15.838 * * [simplify]: Extracting #4: cost 24 inf + 1 15.838 * * [simplify]: Extracting #5: cost 29 inf + 47 15.839 * * [simplify]: Extracting #6: cost 15 inf + 2284 15.840 * * [simplify]: Extracting #7: cost 1 inf + 5179 15.841 * * [simplify]: Extracting #8: cost 0 inf + 5639 15.842 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J)))) 15.842 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))))) (* -2 J))) 15.842 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 15.842 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 15.842 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 15.842 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) 15.842 * * [simplify]: iters left: 6 (16 enodes) 15.846 * * [simplify]: iters left: 5 (63 enodes) 15.858 * * [simplify]: iters left: 4 (112 enodes) 15.890 * * [simplify]: iters left: 3 (185 enodes) 15.928 * * [simplify]: iters left: 2 (283 enodes) 16.003 * * [simplify]: iters left: 1 (454 enodes) 16.156 * * [simplify]: Extracting #0: cost 1 inf + 0 16.156 * * [simplify]: Extracting #1: cost 52 inf + 0 16.157 * * [simplify]: Extracting #2: cost 160 inf + 1 16.157 * * [simplify]: Extracting #3: cost 174 inf + 4 16.158 * * [simplify]: Extracting #4: cost 173 inf + 927 16.161 * * [simplify]: Extracting #5: cost 129 inf + 16326 16.176 * * [simplify]: Extracting #6: cost 15 inf + 90619 16.204 * * [simplify]: Extracting #7: cost 0 inf + 102685 16.223 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2)))) 16.223 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) (* -2 J))) 16.223 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 16.223 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 16.223 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 16.223 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 16.223 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 16.224 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2)))) 16.224 * * [simplify]: iters left: 6 (14 enodes) 16.227 * * [simplify]: iters left: 5 (51 enodes) 16.235 * * [simplify]: iters left: 4 (71 enodes) 16.246 * * [simplify]: iters left: 3 (88 enodes) 16.269 * * [simplify]: iters left: 2 (93 enodes) 16.291 * * [simplify]: Extracting #0: cost 1 inf + 0 16.291 * * [simplify]: Extracting #1: cost 4 inf + 0 16.291 * * [simplify]: Extracting #2: cost 8 inf + 0 16.291 * * [simplify]: Extracting #3: cost 13 inf + 0 16.291 * * [simplify]: Extracting #4: cost 24 inf + 1 16.291 * * [simplify]: Extracting #5: cost 29 inf + 47 16.292 * * [simplify]: Extracting #6: cost 15 inf + 2254 16.293 * * [simplify]: Extracting #7: cost 1 inf + 4999 16.294 * * [simplify]: Extracting #8: cost 0 inf + 5399 16.294 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2)))) 16.294 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2))))) (* -2 J))) 16.295 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2)))) 16.295 * * [simplify]: iters left: 6 (14 enodes) 16.298 * * [simplify]: iters left: 5 (51 enodes) 16.307 * * [simplify]: iters left: 4 (71 enodes) 16.319 * * [simplify]: iters left: 3 (88 enodes) 16.342 * * [simplify]: iters left: 2 (93 enodes) 16.364 * * [simplify]: Extracting #0: cost 1 inf + 0 16.364 * * [simplify]: Extracting #1: cost 4 inf + 0 16.365 * * [simplify]: Extracting #2: cost 8 inf + 0 16.365 * * [simplify]: Extracting #3: cost 13 inf + 0 16.365 * * [simplify]: Extracting #4: cost 24 inf + 1 16.365 * * [simplify]: Extracting #5: cost 29 inf + 47 16.366 * * [simplify]: Extracting #6: cost 15 inf + 2254 16.367 * * [simplify]: Extracting #7: cost 1 inf + 4999 16.369 * * [simplify]: Extracting #8: cost 0 inf + 5399 16.371 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2)))) 16.371 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2))))) (* -2 J))) 16.371 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 16.371 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 16.371 * * [simplify]: iters left: 4 (5 enodes) 16.374 * * [simplify]: iters left: 3 (15 enodes) 16.379 * * [simplify]: Extracting #0: cost 1 inf + 0 16.379 * * [simplify]: Extracting #1: cost 3 inf + 0 16.379 * * [simplify]: Extracting #2: cost 5 inf + 0 16.379 * * [simplify]: Extracting #3: cost 8 inf + 0 16.379 * * [simplify]: Extracting #4: cost 6 inf + 2 16.379 * * [simplify]: Extracting #5: cost 0 inf + 654 16.379 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 16.379 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* -2 J))) 16.379 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 16.380 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 16.380 * * [simplify]: iters left: 4 (5 enodes) 16.382 * * [simplify]: iters left: 3 (15 enodes) 16.387 * * [simplify]: Extracting #0: cost 1 inf + 0 16.387 * * [simplify]: Extracting #1: cost 3 inf + 0 16.387 * * [simplify]: Extracting #2: cost 5 inf + 0 16.387 * * [simplify]: Extracting #3: cost 8 inf + 0 16.387 * * [simplify]: Extracting #4: cost 6 inf + 2 16.387 * * [simplify]: Extracting #5: cost 0 inf + 574 16.387 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 16.387 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* -2 J))) 16.388 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 16.388 * [simplify]: Simplifying (cos (/ K 2)) 16.388 * * [simplify]: iters left: 3 (4 enodes) 16.390 * * [simplify]: iters left: 2 (12 enodes) 16.394 * * [simplify]: Extracting #0: cost 1 inf + 0 16.394 * * [simplify]: Extracting #1: cost 3 inf + 0 16.394 * * [simplify]: Extracting #2: cost 6 inf + 0 16.394 * * [simplify]: Extracting #3: cost 4 inf + 2 16.394 * * [simplify]: Extracting #4: cost 0 inf + 290 16.394 * [simplify]: Simplified to (cos (/ K 2)) 16.394 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 1) (cos (/ K 2))) (* -2 J))) 16.394 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 16.395 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 16.395 * * [simplify]: iters left: 6 (13 enodes) 16.402 * * [simplify]: iters left: 5 (47 enodes) 16.417 * * [simplify]: iters left: 4 (67 enodes) 16.427 * * [simplify]: iters left: 3 (84 enodes) 16.448 * * [simplify]: iters left: 2 (89 enodes) 16.470 * * [simplify]: Extracting #0: cost 1 inf + 0 16.470 * * [simplify]: Extracting #1: cost 3 inf + 0 16.470 * * [simplify]: Extracting #2: cost 5 inf + 0 16.470 * * [simplify]: Extracting #3: cost 8 inf + 0 16.471 * * [simplify]: Extracting #4: cost 18 inf + 1 16.471 * * [simplify]: Extracting #5: cost 27 inf + 4 16.471 * * [simplify]: Extracting #6: cost 27 inf + 338 16.471 * * [simplify]: Extracting #7: cost 23 inf + 465 16.472 * * [simplify]: Extracting #8: cost 12 inf + 2056 16.474 * * [simplify]: Extracting #9: cost 1 inf + 4835 16.475 * * [simplify]: Extracting #10: cost 0 inf + 5195 16.477 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 16.477 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2)))) (* -2 J))) 16.477 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 16.478 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 16.478 * * [simplify]: iters left: 6 (12 enodes) 16.484 * * [simplify]: iters left: 5 (44 enodes) 16.494 * * [simplify]: iters left: 4 (64 enodes) 16.503 * * [simplify]: iters left: 3 (81 enodes) 16.514 * * [simplify]: iters left: 2 (86 enodes) 16.529 * * [simplify]: Extracting #0: cost 1 inf + 0 16.530 * * [simplify]: Extracting #1: cost 3 inf + 0 16.530 * * [simplify]: Extracting #2: cost 6 inf + 0 16.530 * * [simplify]: Extracting #3: cost 16 inf + 1 16.530 * * [simplify]: Extracting #4: cost 25 inf + 4 16.530 * * [simplify]: Extracting #5: cost 26 inf + 255 16.530 * * [simplify]: Extracting #6: cost 21 inf + 465 16.530 * * [simplify]: Extracting #7: cost 7 inf + 2565 16.531 * * [simplify]: Extracting #8: cost 1 inf + 4035 16.532 * * [simplify]: Extracting #9: cost 0 inf + 4315 16.533 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 16.533 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2)))) (* -2 J))) 16.533 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 16.533 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))))) (* -2 J)))> 16.533 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 16.533 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 16.533 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 16.533 * * [simplify]: iters left: 6 (10 enodes) 16.536 * * [simplify]: iters left: 5 (44 enodes) 16.546 * * [simplify]: iters left: 4 (83 enodes) 16.560 * * [simplify]: iters left: 3 (132 enodes) 16.598 * * [simplify]: iters left: 2 (186 enodes) 16.643 * * [simplify]: iters left: 1 (263 enodes) 16.702 * * [simplify]: Extracting #0: cost 1 inf + 0 16.703 * * [simplify]: Extracting #1: cost 23 inf + 0 16.703 * * [simplify]: Extracting #2: cost 44 inf + 89 16.704 * * [simplify]: Extracting #3: cost 21 inf + 2920 16.706 * * [simplify]: Extracting #4: cost 0 inf + 4598 16.709 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 16.709 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 16.709 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 16.709 * [simplify]: Simplifying (* -1 U) 16.709 * * [simplify]: iters left: 2 (3 enodes) 16.711 * * [simplify]: iters left: 1 (11 enodes) 16.715 * * [simplify]: Extracting #0: cost 1 inf + 0 16.715 * * [simplify]: Extracting #1: cost 4 inf + 0 16.715 * * [simplify]: Extracting #2: cost 0 inf + 84 16.715 * [simplify]: Simplified to (- U) 16.715 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 16.715 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 16.716 * [simplify]: Simplifying (* -1 U) 16.716 * * [simplify]: iters left: 2 (3 enodes) 16.718 * * [simplify]: iters left: 1 (11 enodes) 16.721 * * [simplify]: Extracting #0: cost 1 inf + 0 16.721 * * [simplify]: Extracting #1: cost 4 inf + 0 16.721 * * [simplify]: Extracting #2: cost 0 inf + 84 16.721 * [simplify]: Simplified to (- U) 16.721 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 16.721 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 16.721 * [simplify]: Simplifying (* 2 J) 16.721 * * [simplify]: iters left: 2 (3 enodes) 16.723 * * [simplify]: iters left: 1 (10 enodes) 16.726 * * [simplify]: Extracting #0: cost 1 inf + 0 16.726 * * [simplify]: Extracting #1: cost 4 inf + 0 16.726 * * [simplify]: Extracting #2: cost 2 inf + 2 16.726 * * [simplify]: Extracting #3: cost 0 inf + 86 16.726 * [simplify]: Simplified to (* 2 J) 16.726 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* 2 J))) (cos (/ K 2))) (* -2 J))) 16.726 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 16.726 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 16.726 * * [simplify]: iters left: 6 (8 enodes) 16.729 * * [simplify]: iters left: 5 (29 enodes) 16.736 * * [simplify]: iters left: 4 (37 enodes) 16.741 * * [simplify]: iters left: 3 (42 enodes) 16.747 * * [simplify]: Extracting #0: cost 1 inf + 0 16.747 * * [simplify]: Extracting #1: cost 8 inf + 0 16.747 * * [simplify]: Extracting #2: cost 11 inf + 2 16.747 * * [simplify]: Extracting #3: cost 13 inf + 44 16.747 * * [simplify]: Extracting #4: cost 9 inf + 130 16.748 * * [simplify]: Extracting #5: cost 1 inf + 1132 16.748 * * [simplify]: Extracting #6: cost 0 inf + 1316 16.748 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 16.748 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (cos (/ K 2))) (* -2 J))) 16.748 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 16.749 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 16.749 * * [simplify]: iters left: 6 (8 enodes) 16.751 * * [simplify]: iters left: 5 (29 enodes) 16.755 * * [simplify]: iters left: 4 (37 enodes) 16.766 * * [simplify]: iters left: 3 (42 enodes) 16.777 * * [simplify]: Extracting #0: cost 1 inf + 0 16.777 * * [simplify]: Extracting #1: cost 8 inf + 0 16.777 * * [simplify]: Extracting #2: cost 11 inf + 2 16.777 * * [simplify]: Extracting #3: cost 13 inf + 44 16.778 * * [simplify]: Extracting #4: cost 9 inf + 130 16.778 * * [simplify]: Extracting #5: cost 1 inf + 1132 16.779 * * [simplify]: Extracting #6: cost 0 inf + 1316 16.779 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 16.779 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (cos (/ K 2))) (* -2 J))) 16.779 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 16.780 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 16.780 * * [simplify]: iters left: 6 (13 enodes) 16.788 * * [simplify]: iters left: 5 (55 enodes) 16.805 * * [simplify]: iters left: 4 (92 enodes) 16.820 * * [simplify]: iters left: 3 (155 enodes) 16.857 * * [simplify]: iters left: 2 (238 enodes) 16.936 * * [simplify]: iters left: 1 (367 enodes) 17.079 * * [simplify]: Extracting #0: cost 1 inf + 0 17.079 * * [simplify]: Extracting #1: cost 33 inf + 0 17.079 * * [simplify]: Extracting #2: cost 65 inf + 129 17.080 * * [simplify]: Extracting #3: cost 50 inf + 2235 17.082 * * [simplify]: Extracting #4: cost 4 inf + 6690 17.084 * * [simplify]: Extracting #5: cost 0 inf + 7294 17.087 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 17.087 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (cos (/ K 2))) (* -2 J))) 17.087 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 17.087 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 17.087 * * [simplify]: iters left: 6 (9 enodes) 17.090 * * [simplify]: iters left: 5 (34 enodes) 17.095 * * [simplify]: iters left: 4 (56 enodes) 17.111 * * [simplify]: iters left: 3 (90 enodes) 17.128 * * [simplify]: iters left: 2 (114 enodes) 17.143 * * [simplify]: iters left: 1 (131 enodes) 17.168 * * [simplify]: Extracting #0: cost 1 inf + 0 17.168 * * [simplify]: Extracting #1: cost 22 inf + 0 17.169 * * [simplify]: Extracting #2: cost 37 inf + 3 17.169 * * [simplify]: Extracting #3: cost 31 inf + 380 17.170 * * [simplify]: Extracting #4: cost 17 inf + 1834 17.172 * * [simplify]: Extracting #5: cost 3 inf + 4117 17.174 * * [simplify]: Extracting #6: cost 0 inf + 4586 17.176 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 17.177 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 17.177 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 17.177 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 17.177 * * [simplify]: iters left: 6 (9 enodes) 17.182 * * [simplify]: iters left: 5 (34 enodes) 17.191 * * [simplify]: iters left: 4 (56 enodes) 17.200 * * [simplify]: iters left: 3 (90 enodes) 17.214 * * [simplify]: iters left: 2 (114 enodes) 17.232 * * [simplify]: iters left: 1 (131 enodes) 17.251 * * [simplify]: Extracting #0: cost 1 inf + 0 17.251 * * [simplify]: Extracting #1: cost 22 inf + 0 17.251 * * [simplify]: Extracting #2: cost 37 inf + 3 17.251 * * [simplify]: Extracting #3: cost 31 inf + 380 17.252 * * [simplify]: Extracting #4: cost 17 inf + 1834 17.253 * * [simplify]: Extracting #5: cost 3 inf + 4117 17.254 * * [simplify]: Extracting #6: cost 0 inf + 4586 17.255 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 17.255 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 17.255 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 17.255 * [simplify]: Simplifying 1 17.255 * * [simplify]: iters left: 0 (1 enodes) 17.256 * * [simplify]: Extracting #0: cost 1 inf + 0 17.256 * * [simplify]: Extracting #1: cost 0 inf + 1 17.256 * [simplify]: Simplified to 1 17.256 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* -2 J))) 17.256 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 17.256 * [simplify]: Simplifying (* 1/2 (/ U J)) 17.256 * * [simplify]: iters left: 4 (5 enodes) 17.259 * * [simplify]: iters left: 3 (18 enodes) 17.264 * * [simplify]: iters left: 2 (24 enodes) 17.272 * * [simplify]: iters left: 1 (28 enodes) 17.280 * * [simplify]: Extracting #0: cost 1 inf + 0 17.281 * * [simplify]: Extracting #1: cost 10 inf + 0 17.281 * * [simplify]: Extracting #2: cost 9 inf + 87 17.281 * * [simplify]: Extracting #3: cost 0 inf + 547 17.281 * [simplify]: Simplified to (* (/ U J) 1/2) 17.281 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 17.281 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 17.282 * [simplify]: Simplifying (* 1/2 (/ U J)) 17.282 * * [simplify]: iters left: 4 (5 enodes) 17.285 * * [simplify]: iters left: 3 (18 enodes) 17.290 * * [simplify]: iters left: 2 (24 enodes) 17.297 * * [simplify]: iters left: 1 (28 enodes) 17.302 * * [simplify]: Extracting #0: cost 1 inf + 0 17.302 * * [simplify]: Extracting #1: cost 10 inf + 0 17.302 * * [simplify]: Extracting #2: cost 9 inf + 87 17.302 * * [simplify]: Extracting #3: cost 0 inf + 547 17.302 * [simplify]: Simplified to (* (/ U J) 1/2) 17.302 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 17.302 * * * [progress]: adding candidates to table 18.540 * * [progress]: iteration 3 / 4 18.540 * * * [progress]: picking best candidate 18.612 * * * * [pick]: Picked # 18.612 * * * [progress]: localizing error 18.643 * * * [progress]: generating rewritten candidates 18.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 18.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 18.691 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 18.704 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 18.707 * * * [progress]: generating series expansions 18.708 * * * * [progress]: [ 1 / 4 ] generating series at (2) 18.708 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 18.708 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 18.708 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 18.708 * [taylor]: Taking taylor expansion of -2 in K 18.708 * [backup-simplify]: Simplify -2 into -2 18.708 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 18.708 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.708 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.708 * [taylor]: Taking taylor expansion of 1/2 in K 18.708 * [backup-simplify]: Simplify 1/2 into 1/2 18.708 * [taylor]: Taking taylor expansion of K in K 18.708 * [backup-simplify]: Simplify 0 into 0 18.708 * [backup-simplify]: Simplify 1 into 1 18.709 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.710 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.710 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 18.710 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 18.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.710 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 18.710 * [taylor]: Taking taylor expansion of (* 1 1) in K 18.710 * [taylor]: Taking taylor expansion of 1 in K 18.710 * [backup-simplify]: Simplify 1 into 1 18.710 * [taylor]: Taking taylor expansion of 1 in K 18.710 * [backup-simplify]: Simplify 1 into 1 18.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 18.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 18.711 * [taylor]: Taking taylor expansion of 1/2 in K 18.711 * [backup-simplify]: Simplify 1/2 into 1/2 18.711 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 18.711 * [taylor]: Taking taylor expansion of U in K 18.711 * [backup-simplify]: Simplify U into U 18.711 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 18.711 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.711 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.711 * [taylor]: Taking taylor expansion of 1/2 in K 18.711 * [backup-simplify]: Simplify 1/2 into 1/2 18.711 * [taylor]: Taking taylor expansion of K in K 18.711 * [backup-simplify]: Simplify 0 into 0 18.711 * [backup-simplify]: Simplify 1 into 1 18.711 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.712 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.712 * [taylor]: Taking taylor expansion of J in K 18.712 * [backup-simplify]: Simplify J into J 18.712 * [backup-simplify]: Simplify (* 1 J) into J 18.712 * [backup-simplify]: Simplify (/ U J) into (/ U J) 18.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 18.712 * [taylor]: Taking taylor expansion of 1/2 in K 18.712 * [backup-simplify]: Simplify 1/2 into 1/2 18.713 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 18.713 * [taylor]: Taking taylor expansion of U in K 18.713 * [backup-simplify]: Simplify U into U 18.713 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 18.713 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.713 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.713 * [taylor]: Taking taylor expansion of 1/2 in K 18.713 * [backup-simplify]: Simplify 1/2 into 1/2 18.713 * [taylor]: Taking taylor expansion of K in K 18.713 * [backup-simplify]: Simplify 0 into 0 18.713 * [backup-simplify]: Simplify 1 into 1 18.713 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.714 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.714 * [taylor]: Taking taylor expansion of J in K 18.714 * [backup-simplify]: Simplify J into J 18.714 * [backup-simplify]: Simplify (* 1 J) into J 18.714 * [backup-simplify]: Simplify (/ U J) into (/ U J) 18.715 * [backup-simplify]: Simplify (* 1 1) into 1 18.715 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 18.715 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 18.715 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 18.715 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 18.716 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 18.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.717 * [backup-simplify]: Simplify (+ 0) into 0 18.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 18.717 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 18.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 18.718 * [backup-simplify]: Simplify (+ 0) into 0 18.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 18.719 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 18.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 18.720 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 18.720 * [backup-simplify]: Simplify (+ 0 0) into 0 18.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 18.720 * [taylor]: Taking taylor expansion of J in K 18.720 * [backup-simplify]: Simplify J into J 18.720 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 18.720 * [taylor]: Taking taylor expansion of -2 in J 18.720 * [backup-simplify]: Simplify -2 into -2 18.721 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 18.721 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.721 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.721 * [taylor]: Taking taylor expansion of 1/2 in J 18.721 * [backup-simplify]: Simplify 1/2 into 1/2 18.721 * [taylor]: Taking taylor expansion of K in J 18.721 * [backup-simplify]: Simplify K into K 18.721 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.721 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.721 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.721 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 18.721 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 18.721 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.721 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 18.721 * [taylor]: Taking taylor expansion of (* 1 1) in J 18.721 * [taylor]: Taking taylor expansion of 1 in J 18.721 * [backup-simplify]: Simplify 1 into 1 18.721 * [taylor]: Taking taylor expansion of 1 in J 18.721 * [backup-simplify]: Simplify 1 into 1 18.721 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 18.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 18.721 * [taylor]: Taking taylor expansion of 1/2 in J 18.721 * [backup-simplify]: Simplify 1/2 into 1/2 18.721 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 18.721 * [taylor]: Taking taylor expansion of U in J 18.721 * [backup-simplify]: Simplify U into U 18.721 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.721 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.721 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.721 * [taylor]: Taking taylor expansion of 1/2 in J 18.721 * [backup-simplify]: Simplify 1/2 into 1/2 18.721 * [taylor]: Taking taylor expansion of K in J 18.721 * [backup-simplify]: Simplify K into K 18.721 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.721 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.721 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.721 * [taylor]: Taking taylor expansion of J in J 18.721 * [backup-simplify]: Simplify 0 into 0 18.721 * [backup-simplify]: Simplify 1 into 1 18.722 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.722 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.722 * [backup-simplify]: Simplify (- 0) into 0 18.722 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.722 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 18.722 * [backup-simplify]: Simplify (+ 0) into 0 18.723 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.724 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.724 * [backup-simplify]: Simplify (- 0) into 0 18.724 * [backup-simplify]: Simplify (+ 0 0) into 0 18.724 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 18.724 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 18.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 18.724 * [taylor]: Taking taylor expansion of 1/2 in J 18.724 * [backup-simplify]: Simplify 1/2 into 1/2 18.724 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 18.724 * [taylor]: Taking taylor expansion of U in J 18.724 * [backup-simplify]: Simplify U into U 18.724 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.724 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.724 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.724 * [taylor]: Taking taylor expansion of 1/2 in J 18.724 * [backup-simplify]: Simplify 1/2 into 1/2 18.724 * [taylor]: Taking taylor expansion of K in J 18.724 * [backup-simplify]: Simplify K into K 18.725 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.725 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.725 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.725 * [taylor]: Taking taylor expansion of J in J 18.725 * [backup-simplify]: Simplify 0 into 0 18.725 * [backup-simplify]: Simplify 1 into 1 18.725 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.725 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.725 * [backup-simplify]: Simplify (- 0) into 0 18.725 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.725 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 18.725 * [backup-simplify]: Simplify (+ 0) into 0 18.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.727 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.727 * [backup-simplify]: Simplify (- 0) into 0 18.727 * [backup-simplify]: Simplify (+ 0 0) into 0 18.727 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 18.727 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 18.727 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.728 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.728 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 18.728 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 18.728 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.729 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.730 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.730 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.730 * [backup-simplify]: Simplify (- 0) into 0 18.731 * [backup-simplify]: Simplify (+ 0 0) into 0 18.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.731 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 18.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 18.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.734 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.734 * [backup-simplify]: Simplify (- 0) into 0 18.734 * [backup-simplify]: Simplify (+ 0 0) into 0 18.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.735 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 18.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 18.735 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 18.735 * [backup-simplify]: Simplify (+ 0 0) into 0 18.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 18.736 * [taylor]: Taking taylor expansion of J in J 18.736 * [backup-simplify]: Simplify 0 into 0 18.736 * [backup-simplify]: Simplify 1 into 1 18.736 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 18.736 * [taylor]: Taking taylor expansion of -2 in U 18.736 * [backup-simplify]: Simplify -2 into -2 18.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 18.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.736 * [taylor]: Taking taylor expansion of 1/2 in U 18.736 * [backup-simplify]: Simplify 1/2 into 1/2 18.736 * [taylor]: Taking taylor expansion of K in U 18.736 * [backup-simplify]: Simplify K into K 18.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.736 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 18.736 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.736 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 18.736 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.736 * [taylor]: Taking taylor expansion of 1 in U 18.736 * [backup-simplify]: Simplify 1 into 1 18.736 * [taylor]: Taking taylor expansion of 1 in U 18.736 * [backup-simplify]: Simplify 1 into 1 18.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.736 * [taylor]: Taking taylor expansion of 1/2 in U 18.736 * [backup-simplify]: Simplify 1/2 into 1/2 18.736 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.736 * [taylor]: Taking taylor expansion of U in U 18.736 * [backup-simplify]: Simplify 0 into 0 18.736 * [backup-simplify]: Simplify 1 into 1 18.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.736 * [taylor]: Taking taylor expansion of 1/2 in U 18.736 * [backup-simplify]: Simplify 1/2 into 1/2 18.736 * [taylor]: Taking taylor expansion of K in U 18.736 * [backup-simplify]: Simplify K into K 18.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.736 * [taylor]: Taking taylor expansion of J in U 18.736 * [backup-simplify]: Simplify J into J 18.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.736 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.737 * [backup-simplify]: Simplify (- 0) into 0 18.737 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.737 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.737 * [taylor]: Taking taylor expansion of 1/2 in U 18.737 * [backup-simplify]: Simplify 1/2 into 1/2 18.737 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.737 * [taylor]: Taking taylor expansion of U in U 18.737 * [backup-simplify]: Simplify 0 into 0 18.737 * [backup-simplify]: Simplify 1 into 1 18.737 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.737 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.737 * [taylor]: Taking taylor expansion of 1/2 in U 18.737 * [backup-simplify]: Simplify 1/2 into 1/2 18.737 * [taylor]: Taking taylor expansion of K in U 18.737 * [backup-simplify]: Simplify K into K 18.737 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.737 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.737 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.737 * [taylor]: Taking taylor expansion of J in U 18.737 * [backup-simplify]: Simplify J into J 18.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.737 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.738 * [backup-simplify]: Simplify (- 0) into 0 18.738 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.738 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.738 * [backup-simplify]: Simplify (* 1 1) into 1 18.738 * [backup-simplify]: Simplify (+ 1 0) into 1 18.738 * [backup-simplify]: Simplify (sqrt 1) into 1 18.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.739 * [backup-simplify]: Simplify (+ 0 0) into 0 18.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.739 * [taylor]: Taking taylor expansion of J in U 18.739 * [backup-simplify]: Simplify J into J 18.739 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 18.740 * [taylor]: Taking taylor expansion of -2 in U 18.740 * [backup-simplify]: Simplify -2 into -2 18.740 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 18.740 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.740 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.740 * [taylor]: Taking taylor expansion of 1/2 in U 18.740 * [backup-simplify]: Simplify 1/2 into 1/2 18.740 * [taylor]: Taking taylor expansion of K in U 18.740 * [backup-simplify]: Simplify K into K 18.740 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.740 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.740 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.740 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 18.740 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.740 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 18.740 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.740 * [taylor]: Taking taylor expansion of 1 in U 18.740 * [backup-simplify]: Simplify 1 into 1 18.740 * [taylor]: Taking taylor expansion of 1 in U 18.740 * [backup-simplify]: Simplify 1 into 1 18.740 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.740 * [taylor]: Taking taylor expansion of 1/2 in U 18.740 * [backup-simplify]: Simplify 1/2 into 1/2 18.740 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.740 * [taylor]: Taking taylor expansion of U in U 18.740 * [backup-simplify]: Simplify 0 into 0 18.740 * [backup-simplify]: Simplify 1 into 1 18.740 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.740 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.740 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.740 * [taylor]: Taking taylor expansion of 1/2 in U 18.740 * [backup-simplify]: Simplify 1/2 into 1/2 18.740 * [taylor]: Taking taylor expansion of K in U 18.740 * [backup-simplify]: Simplify K into K 18.740 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.740 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.740 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.740 * [taylor]: Taking taylor expansion of J in U 18.740 * [backup-simplify]: Simplify J into J 18.740 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.740 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.741 * [backup-simplify]: Simplify (- 0) into 0 18.741 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.741 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.741 * [taylor]: Taking taylor expansion of 1/2 in U 18.741 * [backup-simplify]: Simplify 1/2 into 1/2 18.741 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.741 * [taylor]: Taking taylor expansion of U in U 18.741 * [backup-simplify]: Simplify 0 into 0 18.741 * [backup-simplify]: Simplify 1 into 1 18.741 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.741 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.741 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.741 * [taylor]: Taking taylor expansion of 1/2 in U 18.741 * [backup-simplify]: Simplify 1/2 into 1/2 18.741 * [taylor]: Taking taylor expansion of K in U 18.741 * [backup-simplify]: Simplify K into K 18.741 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.741 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.741 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.741 * [taylor]: Taking taylor expansion of J in U 18.741 * [backup-simplify]: Simplify J into J 18.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.741 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.741 * [backup-simplify]: Simplify (- 0) into 0 18.742 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.742 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.742 * [backup-simplify]: Simplify (* 1 1) into 1 18.742 * [backup-simplify]: Simplify (+ 1 0) into 1 18.742 * [backup-simplify]: Simplify (sqrt 1) into 1 18.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.743 * [backup-simplify]: Simplify (+ 0 0) into 0 18.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.743 * [taylor]: Taking taylor expansion of J in U 18.743 * [backup-simplify]: Simplify J into J 18.744 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.744 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.744 * [backup-simplify]: Simplify (- 0) into 0 18.744 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.744 * [backup-simplify]: Simplify (* 1 J) into J 18.744 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.744 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 18.744 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 18.744 * [taylor]: Taking taylor expansion of -2 in J 18.744 * [backup-simplify]: Simplify -2 into -2 18.744 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.744 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.744 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.744 * [taylor]: Taking taylor expansion of 1/2 in J 18.744 * [backup-simplify]: Simplify 1/2 into 1/2 18.744 * [taylor]: Taking taylor expansion of K in J 18.744 * [backup-simplify]: Simplify K into K 18.744 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.744 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.744 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.744 * [taylor]: Taking taylor expansion of J in J 18.744 * [backup-simplify]: Simplify 0 into 0 18.744 * [backup-simplify]: Simplify 1 into 1 18.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 18.745 * [backup-simplify]: Simplify (+ 0) into 0 18.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.746 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.747 * [backup-simplify]: Simplify (- 0) into 0 18.747 * [backup-simplify]: Simplify (+ 0 0) into 0 18.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 18.747 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 18.747 * [taylor]: Taking taylor expansion of 0 in J 18.747 * [backup-simplify]: Simplify 0 into 0 18.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.747 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.748 * [backup-simplify]: Simplify (- 0) into 0 18.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 18.748 * [backup-simplify]: Simplify (* -2 0) into 0 18.748 * [taylor]: Taking taylor expansion of 0 in K 18.748 * [backup-simplify]: Simplify 0 into 0 18.748 * [backup-simplify]: Simplify 0 into 0 18.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.749 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 18.749 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 18.749 * [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))) 18.749 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 18.750 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 18.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 18.752 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.753 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.755 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.755 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.756 * [backup-simplify]: Simplify (- 0) into 0 18.756 * [backup-simplify]: Simplify (+ 0 0) into 0 18.757 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 18.757 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 18.757 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 18.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 18.758 * [taylor]: Taking taylor expansion of 1/4 in J 18.758 * [backup-simplify]: Simplify 1/4 into 1/4 18.758 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 18.758 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.758 * [taylor]: Taking taylor expansion of 1/2 in J 18.758 * [backup-simplify]: Simplify 1/2 into 1/2 18.758 * [taylor]: Taking taylor expansion of K in J 18.758 * [backup-simplify]: Simplify K into K 18.758 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.758 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.758 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.758 * [taylor]: Taking taylor expansion of J in J 18.758 * [backup-simplify]: Simplify 0 into 0 18.758 * [backup-simplify]: Simplify 1 into 1 18.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.758 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.759 * [backup-simplify]: Simplify (- 0) into 0 18.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 18.759 * [backup-simplify]: Simplify (+ 0) into 0 18.760 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.762 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.762 * [backup-simplify]: Simplify (- 0) into 0 18.763 * [backup-simplify]: Simplify (+ 0 0) into 0 18.763 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 18.763 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 18.763 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 18.763 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 18.763 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 18.763 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 18.763 * [taylor]: Taking taylor expansion of 1/4 in K 18.763 * [backup-simplify]: Simplify 1/4 into 1/4 18.764 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 18.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.764 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.764 * [taylor]: Taking taylor expansion of 1/2 in K 18.764 * [backup-simplify]: Simplify 1/2 into 1/2 18.764 * [taylor]: Taking taylor expansion of K in K 18.764 * [backup-simplify]: Simplify 0 into 0 18.764 * [backup-simplify]: Simplify 1 into 1 18.764 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.765 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.765 * [backup-simplify]: Simplify (/ 1 1) into 1 18.766 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 18.766 * [backup-simplify]: Simplify (- 1/4) into -1/4 18.766 * [backup-simplify]: Simplify -1/4 into -1/4 18.766 * [taylor]: Taking taylor expansion of 0 in K 18.766 * [backup-simplify]: Simplify 0 into 0 18.766 * [backup-simplify]: Simplify 0 into 0 18.767 * [backup-simplify]: Simplify (+ 0) into 0 18.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.769 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.769 * [backup-simplify]: Simplify (- 0) into 0 18.770 * [backup-simplify]: Simplify (+ 0 0) into 0 18.770 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 18.770 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 18.771 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 18.771 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 18.771 * [taylor]: Taking taylor expansion of 2 in K 18.771 * [backup-simplify]: Simplify 2 into 2 18.771 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.771 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.771 * [taylor]: Taking taylor expansion of 1/2 in K 18.771 * [backup-simplify]: Simplify 1/2 into 1/2 18.771 * [taylor]: Taking taylor expansion of K in K 18.771 * [backup-simplify]: Simplify 0 into 0 18.771 * [backup-simplify]: Simplify 1 into 1 18.771 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.772 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.772 * [backup-simplify]: Simplify (* 2 1) into 2 18.773 * [backup-simplify]: Simplify (- 2) into -2 18.773 * [backup-simplify]: Simplify -2 into -2 18.773 * [backup-simplify]: Simplify 0 into 0 18.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.775 * [backup-simplify]: Simplify (+ 0) into 0 18.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.777 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.778 * [backup-simplify]: Simplify (- 0) into 0 18.778 * [backup-simplify]: Simplify (+ 0 0) into 0 18.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 18.779 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 18.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 18.779 * [backup-simplify]: Simplify (+ 0) into 0 18.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.781 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.782 * [backup-simplify]: Simplify (- 0) into 0 18.782 * [backup-simplify]: Simplify (+ 0 0) into 0 18.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 18.782 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 18.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 18.783 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 18.783 * [backup-simplify]: Simplify (+ 0 0) into 0 18.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 18.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 18.784 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 18.786 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.787 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.787 * [backup-simplify]: Simplify (- 0) into 0 18.787 * [backup-simplify]: Simplify (+ 0 0) into 0 18.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 18.788 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 18.788 * [taylor]: Taking taylor expansion of 0 in J 18.788 * [backup-simplify]: Simplify 0 into 0 18.789 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.789 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.790 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.791 * [backup-simplify]: Simplify (- 0) into 0 18.791 * [backup-simplify]: Simplify (+ 0 0) into 0 18.791 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 18.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 18.792 * [backup-simplify]: Simplify (- 0) into 0 18.792 * [taylor]: Taking taylor expansion of 0 in K 18.792 * [backup-simplify]: Simplify 0 into 0 18.792 * [backup-simplify]: Simplify 0 into 0 18.792 * [taylor]: Taking taylor expansion of 0 in K 18.792 * [backup-simplify]: Simplify 0 into 0 18.792 * [backup-simplify]: Simplify 0 into 0 18.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.794 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.795 * [backup-simplify]: Simplify (- 0) into 0 18.795 * [backup-simplify]: Simplify (+ 0 0) into 0 18.796 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.796 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 18.796 * [taylor]: Taking taylor expansion of 0 in K 18.796 * [backup-simplify]: Simplify 0 into 0 18.796 * [backup-simplify]: Simplify 0 into 0 18.796 * [backup-simplify]: Simplify (+ 0) into 0 18.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.797 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 18.797 * [backup-simplify]: Simplify (- 0) into 0 18.797 * [backup-simplify]: Simplify 0 into 0 18.797 * [backup-simplify]: Simplify 0 into 0 18.798 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 18.798 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 18.798 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 18.798 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 18.798 * [taylor]: Taking taylor expansion of -2 in K 18.798 * [backup-simplify]: Simplify -2 into -2 18.798 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 18.798 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 18.798 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 18.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 18.798 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 18.798 * [taylor]: Taking taylor expansion of (* 1 1) in K 18.798 * [taylor]: Taking taylor expansion of 1 in K 18.798 * [backup-simplify]: Simplify 1 into 1 18.798 * [taylor]: Taking taylor expansion of 1 in K 18.798 * [backup-simplify]: Simplify 1 into 1 18.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 18.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 18.798 * [taylor]: Taking taylor expansion of 1/2 in K 18.798 * [backup-simplify]: Simplify 1/2 into 1/2 18.798 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 18.798 * [taylor]: Taking taylor expansion of J in K 18.798 * [backup-simplify]: Simplify J into J 18.798 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 18.798 * [taylor]: Taking taylor expansion of U in K 18.798 * [backup-simplify]: Simplify U into U 18.798 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.798 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.798 * [taylor]: Taking taylor expansion of 1/2 in K 18.798 * [backup-simplify]: Simplify 1/2 into 1/2 18.798 * [taylor]: Taking taylor expansion of K in K 18.798 * [backup-simplify]: Simplify 0 into 0 18.798 * [backup-simplify]: Simplify 1 into 1 18.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.799 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.799 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 18.799 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 18.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 18.799 * [taylor]: Taking taylor expansion of 1/2 in K 18.799 * [backup-simplify]: Simplify 1/2 into 1/2 18.799 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 18.799 * [taylor]: Taking taylor expansion of J in K 18.799 * [backup-simplify]: Simplify J into J 18.799 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 18.799 * [taylor]: Taking taylor expansion of U in K 18.799 * [backup-simplify]: Simplify U into U 18.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.799 * [taylor]: Taking taylor expansion of 1/2 in K 18.799 * [backup-simplify]: Simplify 1/2 into 1/2 18.799 * [taylor]: Taking taylor expansion of K in K 18.799 * [backup-simplify]: Simplify 0 into 0 18.799 * [backup-simplify]: Simplify 1 into 1 18.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.799 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.799 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 18.800 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 18.800 * [backup-simplify]: Simplify (* 1 1) into 1 18.800 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 18.800 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 18.800 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 18.800 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 18.800 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 18.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.801 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 18.801 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 18.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 18.802 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 18.802 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 18.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 18.802 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 18.802 * [backup-simplify]: Simplify (+ 0 0) into 0 18.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 18.803 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 18.803 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 18.803 * [taylor]: Taking taylor expansion of 1/2 in K 18.803 * [backup-simplify]: Simplify 1/2 into 1/2 18.803 * [taylor]: Taking taylor expansion of K in K 18.803 * [backup-simplify]: Simplify 0 into 0 18.803 * [backup-simplify]: Simplify 1 into 1 18.803 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 18.803 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.803 * [taylor]: Taking taylor expansion of J in K 18.803 * [backup-simplify]: Simplify J into J 18.803 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 18.804 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 18.804 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 18.804 * [taylor]: Taking taylor expansion of -2 in J 18.804 * [backup-simplify]: Simplify -2 into -2 18.804 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 18.804 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 18.804 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 18.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 18.804 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 18.804 * [taylor]: Taking taylor expansion of (* 1 1) in J 18.804 * [taylor]: Taking taylor expansion of 1 in J 18.804 * [backup-simplify]: Simplify 1 into 1 18.804 * [taylor]: Taking taylor expansion of 1 in J 18.804 * [backup-simplify]: Simplify 1 into 1 18.804 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 18.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 18.804 * [taylor]: Taking taylor expansion of 1/2 in J 18.804 * [backup-simplify]: Simplify 1/2 into 1/2 18.804 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 18.804 * [taylor]: Taking taylor expansion of J in J 18.804 * [backup-simplify]: Simplify 0 into 0 18.804 * [backup-simplify]: Simplify 1 into 1 18.804 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 18.804 * [taylor]: Taking taylor expansion of U in J 18.804 * [backup-simplify]: Simplify U into U 18.804 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.804 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.804 * [taylor]: Taking taylor expansion of 1/2 in J 18.804 * [backup-simplify]: Simplify 1/2 into 1/2 18.804 * [taylor]: Taking taylor expansion of K in J 18.804 * [backup-simplify]: Simplify K into K 18.804 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.804 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.804 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.804 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.805 * [backup-simplify]: Simplify (- 0) into 0 18.805 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.805 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 18.805 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 18.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 18.805 * [taylor]: Taking taylor expansion of 1/2 in J 18.805 * [backup-simplify]: Simplify 1/2 into 1/2 18.805 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 18.805 * [taylor]: Taking taylor expansion of J in J 18.805 * [backup-simplify]: Simplify 0 into 0 18.805 * [backup-simplify]: Simplify 1 into 1 18.805 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 18.805 * [taylor]: Taking taylor expansion of U in J 18.805 * [backup-simplify]: Simplify U into U 18.805 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.805 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.805 * [taylor]: Taking taylor expansion of 1/2 in J 18.805 * [backup-simplify]: Simplify 1/2 into 1/2 18.805 * [taylor]: Taking taylor expansion of K in J 18.805 * [backup-simplify]: Simplify K into K 18.805 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.805 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.805 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.805 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.805 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.806 * [backup-simplify]: Simplify (- 0) into 0 18.806 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.806 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 18.806 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 18.806 * [backup-simplify]: Simplify (* 1 1) into 1 18.806 * [backup-simplify]: Simplify (+ 1 0) into 1 18.807 * [backup-simplify]: Simplify (sqrt 1) into 1 18.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.811 * [backup-simplify]: Simplify (+ 0 0) into 0 18.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.811 * [taylor]: Taking taylor expansion of 1/2 in J 18.811 * [backup-simplify]: Simplify 1/2 into 1/2 18.811 * [taylor]: Taking taylor expansion of K in J 18.811 * [backup-simplify]: Simplify K into K 18.811 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.811 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.811 * [taylor]: Taking taylor expansion of J in J 18.811 * [backup-simplify]: Simplify 0 into 0 18.811 * [backup-simplify]: Simplify 1 into 1 18.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.812 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.812 * [backup-simplify]: Simplify (- 0) into 0 18.812 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.812 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 18.812 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.812 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 18.812 * [taylor]: Taking taylor expansion of -2 in U 18.812 * [backup-simplify]: Simplify -2 into -2 18.812 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 18.812 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 18.812 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 18.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 18.812 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 18.812 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.812 * [taylor]: Taking taylor expansion of 1 in U 18.812 * [backup-simplify]: Simplify 1 into 1 18.812 * [taylor]: Taking taylor expansion of 1 in U 18.812 * [backup-simplify]: Simplify 1 into 1 18.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 18.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 18.812 * [taylor]: Taking taylor expansion of 1/2 in U 18.812 * [backup-simplify]: Simplify 1/2 into 1/2 18.812 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 18.812 * [taylor]: Taking taylor expansion of J in U 18.812 * [backup-simplify]: Simplify J into J 18.812 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 18.812 * [taylor]: Taking taylor expansion of U in U 18.812 * [backup-simplify]: Simplify 0 into 0 18.812 * [backup-simplify]: Simplify 1 into 1 18.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.812 * [taylor]: Taking taylor expansion of 1/2 in U 18.812 * [backup-simplify]: Simplify 1/2 into 1/2 18.812 * [taylor]: Taking taylor expansion of K in U 18.813 * [backup-simplify]: Simplify K into K 18.813 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.813 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.813 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.813 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.813 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.813 * [backup-simplify]: Simplify (- 0) into 0 18.813 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.813 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 18.814 * [backup-simplify]: Simplify (+ 0) into 0 18.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.816 * [backup-simplify]: Simplify (- 0) into 0 18.816 * [backup-simplify]: Simplify (+ 0 0) into 0 18.817 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 18.817 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 18.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 18.817 * [taylor]: Taking taylor expansion of 1/2 in U 18.817 * [backup-simplify]: Simplify 1/2 into 1/2 18.817 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 18.817 * [taylor]: Taking taylor expansion of J in U 18.817 * [backup-simplify]: Simplify J into J 18.817 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 18.817 * [taylor]: Taking taylor expansion of U in U 18.817 * [backup-simplify]: Simplify 0 into 0 18.817 * [backup-simplify]: Simplify 1 into 1 18.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.817 * [taylor]: Taking taylor expansion of 1/2 in U 18.817 * [backup-simplify]: Simplify 1/2 into 1/2 18.817 * [taylor]: Taking taylor expansion of K in U 18.817 * [backup-simplify]: Simplify K into K 18.817 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.817 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.817 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.818 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.818 * [backup-simplify]: Simplify (- 0) into 0 18.818 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.818 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 18.819 * [backup-simplify]: Simplify (+ 0) into 0 18.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.821 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.821 * [backup-simplify]: Simplify (- 0) into 0 18.821 * [backup-simplify]: Simplify (+ 0 0) into 0 18.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 18.822 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 18.822 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.822 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.822 * [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))) 18.823 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 18.823 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.826 * [backup-simplify]: Simplify (- 0) into 0 18.827 * [backup-simplify]: Simplify (+ 0 0) into 0 18.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 18.828 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 18.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 18.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.832 * [backup-simplify]: Simplify (- 0) into 0 18.832 * [backup-simplify]: Simplify (+ 0 0) into 0 18.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 18.834 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 18.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 18.834 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 18.835 * [backup-simplify]: Simplify (+ 0 0) into 0 18.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 18.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.835 * [taylor]: Taking taylor expansion of 1/2 in U 18.835 * [backup-simplify]: Simplify 1/2 into 1/2 18.835 * [taylor]: Taking taylor expansion of K in U 18.835 * [backup-simplify]: Simplify K into K 18.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.835 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.835 * [taylor]: Taking taylor expansion of J in U 18.835 * [backup-simplify]: Simplify J into J 18.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.836 * [backup-simplify]: Simplify (- 0) into 0 18.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.836 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 18.836 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 18.836 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 18.836 * [taylor]: Taking taylor expansion of -2 in U 18.836 * [backup-simplify]: Simplify -2 into -2 18.837 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 18.837 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 18.837 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 18.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 18.837 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 18.837 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.837 * [taylor]: Taking taylor expansion of 1 in U 18.837 * [backup-simplify]: Simplify 1 into 1 18.837 * [taylor]: Taking taylor expansion of 1 in U 18.837 * [backup-simplify]: Simplify 1 into 1 18.837 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 18.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 18.837 * [taylor]: Taking taylor expansion of 1/2 in U 18.837 * [backup-simplify]: Simplify 1/2 into 1/2 18.837 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 18.837 * [taylor]: Taking taylor expansion of J in U 18.837 * [backup-simplify]: Simplify J into J 18.837 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 18.837 * [taylor]: Taking taylor expansion of U in U 18.837 * [backup-simplify]: Simplify 0 into 0 18.837 * [backup-simplify]: Simplify 1 into 1 18.837 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.837 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.837 * [taylor]: Taking taylor expansion of 1/2 in U 18.837 * [backup-simplify]: Simplify 1/2 into 1/2 18.837 * [taylor]: Taking taylor expansion of K in U 18.837 * [backup-simplify]: Simplify K into K 18.837 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.837 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.838 * [backup-simplify]: Simplify (- 0) into 0 18.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.838 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 18.839 * [backup-simplify]: Simplify (+ 0) into 0 18.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.841 * [backup-simplify]: Simplify (- 0) into 0 18.841 * [backup-simplify]: Simplify (+ 0 0) into 0 18.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 18.842 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 18.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 18.842 * [taylor]: Taking taylor expansion of 1/2 in U 18.842 * [backup-simplify]: Simplify 1/2 into 1/2 18.842 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 18.842 * [taylor]: Taking taylor expansion of J in U 18.842 * [backup-simplify]: Simplify J into J 18.842 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 18.842 * [taylor]: Taking taylor expansion of U in U 18.842 * [backup-simplify]: Simplify 0 into 0 18.842 * [backup-simplify]: Simplify 1 into 1 18.842 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.842 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.842 * [taylor]: Taking taylor expansion of 1/2 in U 18.842 * [backup-simplify]: Simplify 1/2 into 1/2 18.842 * [taylor]: Taking taylor expansion of K in U 18.842 * [backup-simplify]: Simplify K into K 18.842 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.843 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.843 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.843 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.843 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.843 * [backup-simplify]: Simplify (- 0) into 0 18.843 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.843 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 18.844 * [backup-simplify]: Simplify (+ 0) into 0 18.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.847 * [backup-simplify]: Simplify (- 0) into 0 18.847 * [backup-simplify]: Simplify (+ 0 0) into 0 18.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 18.848 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 18.848 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.848 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.848 * [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))) 18.849 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 18.849 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 18.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.851 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.852 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.853 * [backup-simplify]: Simplify (- 0) into 0 18.853 * [backup-simplify]: Simplify (+ 0 0) into 0 18.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 18.854 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 18.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 18.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.858 * [backup-simplify]: Simplify (- 0) into 0 18.859 * [backup-simplify]: Simplify (+ 0 0) into 0 18.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 18.860 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 18.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 18.861 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 18.861 * [backup-simplify]: Simplify (+ 0 0) into 0 18.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 18.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 18.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 18.862 * [taylor]: Taking taylor expansion of 1/2 in U 18.862 * [backup-simplify]: Simplify 1/2 into 1/2 18.862 * [taylor]: Taking taylor expansion of K in U 18.862 * [backup-simplify]: Simplify K into K 18.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.862 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.862 * [taylor]: Taking taylor expansion of J in U 18.862 * [backup-simplify]: Simplify J into J 18.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.862 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.863 * [backup-simplify]: Simplify (- 0) into 0 18.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.863 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 18.863 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 18.864 * [backup-simplify]: Simplify (* -2 1/2) into -1 18.864 * [taylor]: Taking taylor expansion of -1 in J 18.864 * [backup-simplify]: Simplify -1 into -1 18.864 * [backup-simplify]: Simplify (+ 0) into 0 18.865 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.865 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.866 * [backup-simplify]: Simplify (- 0) into 0 18.867 * [backup-simplify]: Simplify (+ 0 0) into 0 18.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.867 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 18.868 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 18.868 * [taylor]: Taking taylor expansion of 0 in J 18.868 * [backup-simplify]: Simplify 0 into 0 18.868 * [taylor]: Taking taylor expansion of -1 in K 18.868 * [backup-simplify]: Simplify -1 into -1 18.868 * [backup-simplify]: Simplify -1 into -1 18.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.870 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.871 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.872 * [backup-simplify]: Simplify (- 0) into 0 18.872 * [backup-simplify]: Simplify (+ 0 0) into 0 18.873 * [backup-simplify]: Simplify (* 1 1) into 1 18.873 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.874 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.876 * [backup-simplify]: Simplify (- 0) into 0 18.876 * [backup-simplify]: Simplify (+ 0 0) into 0 18.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 18.877 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 18.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 18.879 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.882 * [backup-simplify]: Simplify (- 0) into 0 18.882 * [backup-simplify]: Simplify (+ 0 0) into 0 18.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 18.884 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 18.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 18.885 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 18.885 * [backup-simplify]: Simplify (+ 1 0) into 1 18.886 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 18.887 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 18.887 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 18.888 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 18.888 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 18.888 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 18.888 * [taylor]: Taking taylor expansion of 2 in J 18.888 * [backup-simplify]: Simplify 2 into 2 18.888 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 18.888 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 18.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 18.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 18.888 * [taylor]: Taking taylor expansion of 1/2 in J 18.888 * [backup-simplify]: Simplify 1/2 into 1/2 18.888 * [taylor]: Taking taylor expansion of K in J 18.888 * [backup-simplify]: Simplify K into K 18.888 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 18.888 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 18.888 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 18.888 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 18.888 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 18.889 * [backup-simplify]: Simplify (- 0) into 0 18.889 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 18.889 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.889 * [taylor]: Taking taylor expansion of J in J 18.889 * [backup-simplify]: Simplify 0 into 0 18.889 * [backup-simplify]: Simplify 1 into 1 18.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 18.889 * [backup-simplify]: Simplify (* 1 1) into 1 18.889 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 18.890 * [backup-simplify]: Simplify (+ 0) into 0 18.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 18.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 18.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 18.892 * [backup-simplify]: Simplify (- 0) into 0 18.892 * [backup-simplify]: Simplify (+ 0 0) into 0 18.892 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 18.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 18.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 18.894 * [backup-simplify]: Simplify (- 0) into 0 18.894 * [taylor]: Taking taylor expansion of 0 in K 18.894 * [backup-simplify]: Simplify 0 into 0 18.894 * [backup-simplify]: Simplify 0 into 0 18.895 * [taylor]: Taking taylor expansion of 0 in K 18.895 * [backup-simplify]: Simplify 0 into 0 18.895 * [backup-simplify]: Simplify 0 into 0 18.895 * [taylor]: Taking taylor expansion of 0 in K 18.895 * [backup-simplify]: Simplify 0 into 0 18.895 * [backup-simplify]: Simplify 0 into 0 18.895 * [backup-simplify]: Simplify 0 into 0 18.895 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.899 * [backup-simplify]: Simplify (- 0) into 0 18.899 * [backup-simplify]: Simplify (+ 0 0) into 0 18.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.902 * [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 18.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.904 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 18.905 * [backup-simplify]: Simplify (- 0) into 0 18.905 * [backup-simplify]: Simplify (+ 0 0) into 0 18.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 18.907 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 18.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 18.910 * [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 18.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.912 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 18.913 * [backup-simplify]: Simplify (- 0) into 0 18.914 * [backup-simplify]: Simplify (+ 0 0) into 0 18.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 18.915 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 18.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 18.917 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 18.918 * [backup-simplify]: Simplify (+ 0 0) into 0 18.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 18.918 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 18.919 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 18.920 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 18.920 * [taylor]: Taking taylor expansion of 0 in J 18.920 * [backup-simplify]: Simplify 0 into 0 18.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.923 * [backup-simplify]: Simplify (- 0) into 0 18.923 * [backup-simplify]: Simplify (+ 0 0) into 0 18.924 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 18.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 18.927 * [backup-simplify]: Simplify (- 0) into 0 18.927 * [taylor]: Taking taylor expansion of 0 in K 18.927 * [backup-simplify]: Simplify 0 into 0 18.927 * [backup-simplify]: Simplify 0 into 0 18.927 * [taylor]: Taking taylor expansion of 0 in K 18.927 * [backup-simplify]: Simplify 0 into 0 18.927 * [backup-simplify]: Simplify 0 into 0 18.927 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 18.928 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 18.928 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 18.928 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 18.928 * [taylor]: Taking taylor expansion of 2 in K 18.928 * [backup-simplify]: Simplify 2 into 2 18.928 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 18.928 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 18.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.928 * [taylor]: Taking taylor expansion of -1/2 in K 18.928 * [backup-simplify]: Simplify -1/2 into -1/2 18.928 * [taylor]: Taking taylor expansion of K in K 18.928 * [backup-simplify]: Simplify 0 into 0 18.928 * [backup-simplify]: Simplify 1 into 1 18.928 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.929 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.929 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 18.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 18.929 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 18.929 * [taylor]: Taking taylor expansion of (* 1 1) in K 18.929 * [taylor]: Taking taylor expansion of 1 in K 18.929 * [backup-simplify]: Simplify 1 into 1 18.929 * [taylor]: Taking taylor expansion of 1 in K 18.929 * [backup-simplify]: Simplify 1 into 1 18.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 18.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 18.929 * [taylor]: Taking taylor expansion of 1/2 in K 18.929 * [backup-simplify]: Simplify 1/2 into 1/2 18.929 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 18.929 * [taylor]: Taking taylor expansion of J in K 18.929 * [backup-simplify]: Simplify J into J 18.929 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 18.929 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.929 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.929 * [taylor]: Taking taylor expansion of -1/2 in K 18.929 * [backup-simplify]: Simplify -1/2 into -1/2 18.929 * [taylor]: Taking taylor expansion of K in K 18.929 * [backup-simplify]: Simplify 0 into 0 18.929 * [backup-simplify]: Simplify 1 into 1 18.930 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.930 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.930 * [taylor]: Taking taylor expansion of U in K 18.930 * [backup-simplify]: Simplify U into U 18.930 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 18.930 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 18.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 18.930 * [taylor]: Taking taylor expansion of 1/2 in K 18.930 * [backup-simplify]: Simplify 1/2 into 1/2 18.930 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 18.930 * [taylor]: Taking taylor expansion of J in K 18.930 * [backup-simplify]: Simplify J into J 18.930 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 18.930 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 18.930 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 18.930 * [taylor]: Taking taylor expansion of -1/2 in K 18.930 * [backup-simplify]: Simplify -1/2 into -1/2 18.930 * [taylor]: Taking taylor expansion of K in K 18.930 * [backup-simplify]: Simplify 0 into 0 18.930 * [backup-simplify]: Simplify 1 into 1 18.931 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.931 * [taylor]: Taking taylor expansion of U in K 18.931 * [backup-simplify]: Simplify U into U 18.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 18.931 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 18.931 * [backup-simplify]: Simplify (* 1 1) into 1 18.932 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 18.932 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 18.932 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 18.932 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 18.933 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 18.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 18.934 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 18.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 18.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 18.935 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 18.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 18.936 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 18.936 * [backup-simplify]: Simplify (+ 0 0) into 0 18.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 18.936 * [taylor]: Taking taylor expansion of J in K 18.936 * [backup-simplify]: Simplify J into J 18.937 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 18.937 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 18.937 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 18.937 * [taylor]: Taking taylor expansion of 2 in J 18.937 * [backup-simplify]: Simplify 2 into 2 18.937 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 18.937 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 18.937 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.937 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.937 * [taylor]: Taking taylor expansion of -1/2 in J 18.938 * [backup-simplify]: Simplify -1/2 into -1/2 18.938 * [taylor]: Taking taylor expansion of K in J 18.938 * [backup-simplify]: Simplify K into K 18.938 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.938 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.938 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.938 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 18.938 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 18.938 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 18.938 * [taylor]: Taking taylor expansion of (* 1 1) in J 18.938 * [taylor]: Taking taylor expansion of 1 in J 18.938 * [backup-simplify]: Simplify 1 into 1 18.938 * [taylor]: Taking taylor expansion of 1 in J 18.938 * [backup-simplify]: Simplify 1 into 1 18.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 18.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 18.938 * [taylor]: Taking taylor expansion of 1/2 in J 18.938 * [backup-simplify]: Simplify 1/2 into 1/2 18.938 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 18.938 * [taylor]: Taking taylor expansion of J in J 18.938 * [backup-simplify]: Simplify 0 into 0 18.938 * [backup-simplify]: Simplify 1 into 1 18.938 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 18.938 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.938 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.938 * [taylor]: Taking taylor expansion of -1/2 in J 18.938 * [backup-simplify]: Simplify -1/2 into -1/2 18.938 * [taylor]: Taking taylor expansion of K in J 18.938 * [backup-simplify]: Simplify K into K 18.938 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.938 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.938 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.938 * [taylor]: Taking taylor expansion of U in J 18.939 * [backup-simplify]: Simplify U into U 18.939 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.939 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.939 * [backup-simplify]: Simplify (- 0) into 0 18.939 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.939 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 18.939 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 18.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 18.939 * [taylor]: Taking taylor expansion of 1/2 in J 18.939 * [backup-simplify]: Simplify 1/2 into 1/2 18.940 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 18.940 * [taylor]: Taking taylor expansion of J in J 18.940 * [backup-simplify]: Simplify 0 into 0 18.940 * [backup-simplify]: Simplify 1 into 1 18.940 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 18.940 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.940 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.940 * [taylor]: Taking taylor expansion of -1/2 in J 18.940 * [backup-simplify]: Simplify -1/2 into -1/2 18.940 * [taylor]: Taking taylor expansion of K in J 18.940 * [backup-simplify]: Simplify K into K 18.940 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.940 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.940 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.940 * [taylor]: Taking taylor expansion of U in J 18.940 * [backup-simplify]: Simplify U into U 18.940 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.940 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.940 * [backup-simplify]: Simplify (- 0) into 0 18.941 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.941 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 18.941 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 18.941 * [backup-simplify]: Simplify (* 1 1) into 1 18.942 * [backup-simplify]: Simplify (+ 1 0) into 1 18.942 * [backup-simplify]: Simplify (sqrt 1) into 1 18.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.943 * [backup-simplify]: Simplify (+ 0 0) into 0 18.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.950 * [taylor]: Taking taylor expansion of J in J 18.950 * [backup-simplify]: Simplify 0 into 0 18.950 * [backup-simplify]: Simplify 1 into 1 18.950 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.950 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.951 * [backup-simplify]: Simplify (- 0) into 0 18.951 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.951 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.951 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.951 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 18.951 * [taylor]: Taking taylor expansion of 2 in U 18.951 * [backup-simplify]: Simplify 2 into 2 18.951 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 18.951 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 18.951 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.951 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.951 * [taylor]: Taking taylor expansion of -1/2 in U 18.951 * [backup-simplify]: Simplify -1/2 into -1/2 18.951 * [taylor]: Taking taylor expansion of K in U 18.951 * [backup-simplify]: Simplify K into K 18.951 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.951 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.951 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.952 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 18.952 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 18.952 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 18.952 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.952 * [taylor]: Taking taylor expansion of 1 in U 18.952 * [backup-simplify]: Simplify 1 into 1 18.952 * [taylor]: Taking taylor expansion of 1 in U 18.952 * [backup-simplify]: Simplify 1 into 1 18.952 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 18.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 18.952 * [taylor]: Taking taylor expansion of 1/2 in U 18.952 * [backup-simplify]: Simplify 1/2 into 1/2 18.952 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 18.952 * [taylor]: Taking taylor expansion of J in U 18.952 * [backup-simplify]: Simplify J into J 18.952 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 18.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.952 * [taylor]: Taking taylor expansion of -1/2 in U 18.952 * [backup-simplify]: Simplify -1/2 into -1/2 18.952 * [taylor]: Taking taylor expansion of K in U 18.952 * [backup-simplify]: Simplify K into K 18.952 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.952 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.952 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.952 * [taylor]: Taking taylor expansion of U in U 18.952 * [backup-simplify]: Simplify 0 into 0 18.952 * [backup-simplify]: Simplify 1 into 1 18.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.952 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.953 * [backup-simplify]: Simplify (- 0) into 0 18.953 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.953 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 18.953 * [backup-simplify]: Simplify (+ 0) into 0 18.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.954 * [backup-simplify]: Simplify (- 0) into 0 18.955 * [backup-simplify]: Simplify (+ 0 0) into 0 18.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 18.955 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 18.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 18.955 * [taylor]: Taking taylor expansion of 1/2 in U 18.955 * [backup-simplify]: Simplify 1/2 into 1/2 18.955 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 18.955 * [taylor]: Taking taylor expansion of J in U 18.955 * [backup-simplify]: Simplify J into J 18.955 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 18.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.955 * [taylor]: Taking taylor expansion of -1/2 in U 18.955 * [backup-simplify]: Simplify -1/2 into -1/2 18.955 * [taylor]: Taking taylor expansion of K in U 18.955 * [backup-simplify]: Simplify K into K 18.955 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.955 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.955 * [taylor]: Taking taylor expansion of U in U 18.955 * [backup-simplify]: Simplify 0 into 0 18.955 * [backup-simplify]: Simplify 1 into 1 18.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.956 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.956 * [backup-simplify]: Simplify (- 0) into 0 18.956 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 18.956 * [backup-simplify]: Simplify (+ 0) into 0 18.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.958 * [backup-simplify]: Simplify (- 0) into 0 18.958 * [backup-simplify]: Simplify (+ 0 0) into 0 18.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 18.958 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 18.958 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.958 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.958 * [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))) 18.959 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 18.959 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.960 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.961 * [backup-simplify]: Simplify (- 0) into 0 18.961 * [backup-simplify]: Simplify (+ 0 0) into 0 18.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.962 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 18.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 18.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.963 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.964 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.964 * [backup-simplify]: Simplify (- 0) into 0 18.965 * [backup-simplify]: Simplify (+ 0 0) into 0 18.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.965 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 18.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 18.966 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 18.966 * [backup-simplify]: Simplify (+ 0 0) into 0 18.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 18.966 * [taylor]: Taking taylor expansion of J in U 18.966 * [backup-simplify]: Simplify J into J 18.966 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.966 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.966 * [backup-simplify]: Simplify (- 0) into 0 18.966 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.966 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 18.967 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 18.967 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 18.967 * [taylor]: Taking taylor expansion of 2 in U 18.967 * [backup-simplify]: Simplify 2 into 2 18.967 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 18.967 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 18.967 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.967 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.967 * [taylor]: Taking taylor expansion of -1/2 in U 18.967 * [backup-simplify]: Simplify -1/2 into -1/2 18.967 * [taylor]: Taking taylor expansion of K in U 18.967 * [backup-simplify]: Simplify K into K 18.967 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.967 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.967 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.967 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 18.967 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 18.967 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 18.967 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.967 * [taylor]: Taking taylor expansion of 1 in U 18.967 * [backup-simplify]: Simplify 1 into 1 18.967 * [taylor]: Taking taylor expansion of 1 in U 18.967 * [backup-simplify]: Simplify 1 into 1 18.967 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 18.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 18.967 * [taylor]: Taking taylor expansion of 1/2 in U 18.967 * [backup-simplify]: Simplify 1/2 into 1/2 18.967 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 18.967 * [taylor]: Taking taylor expansion of J in U 18.967 * [backup-simplify]: Simplify J into J 18.967 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 18.967 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.967 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.967 * [taylor]: Taking taylor expansion of -1/2 in U 18.967 * [backup-simplify]: Simplify -1/2 into -1/2 18.967 * [taylor]: Taking taylor expansion of K in U 18.967 * [backup-simplify]: Simplify K into K 18.967 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.967 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.967 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.967 * [taylor]: Taking taylor expansion of U in U 18.967 * [backup-simplify]: Simplify 0 into 0 18.967 * [backup-simplify]: Simplify 1 into 1 18.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.967 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.968 * [backup-simplify]: Simplify (- 0) into 0 18.968 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.968 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 18.968 * [backup-simplify]: Simplify (+ 0) into 0 18.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.968 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.969 * [backup-simplify]: Simplify (- 0) into 0 18.970 * [backup-simplify]: Simplify (+ 0 0) into 0 18.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 18.970 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 18.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 18.970 * [taylor]: Taking taylor expansion of 1/2 in U 18.970 * [backup-simplify]: Simplify 1/2 into 1/2 18.970 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 18.970 * [taylor]: Taking taylor expansion of J in U 18.970 * [backup-simplify]: Simplify J into J 18.970 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 18.970 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 18.970 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 18.970 * [taylor]: Taking taylor expansion of -1/2 in U 18.970 * [backup-simplify]: Simplify -1/2 into -1/2 18.970 * [taylor]: Taking taylor expansion of K in U 18.970 * [backup-simplify]: Simplify K into K 18.970 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.970 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.970 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.970 * [taylor]: Taking taylor expansion of U in U 18.970 * [backup-simplify]: Simplify 0 into 0 18.970 * [backup-simplify]: Simplify 1 into 1 18.970 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.970 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.971 * [backup-simplify]: Simplify (- 0) into 0 18.971 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.971 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 18.971 * [backup-simplify]: Simplify (+ 0) into 0 18.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.972 * [backup-simplify]: Simplify (- 0) into 0 18.973 * [backup-simplify]: Simplify (+ 0 0) into 0 18.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 18.973 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 18.973 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.973 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.973 * [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))) 18.973 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 18.973 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 18.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.975 * [backup-simplify]: Simplify (- 0) into 0 18.976 * [backup-simplify]: Simplify (+ 0 0) into 0 18.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 18.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 18.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.978 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.979 * [backup-simplify]: Simplify (- 0) into 0 18.979 * [backup-simplify]: Simplify (+ 0 0) into 0 18.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.979 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 18.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 18.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 18.980 * [backup-simplify]: Simplify (+ 0 0) into 0 18.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 18.980 * [taylor]: Taking taylor expansion of J in U 18.980 * [backup-simplify]: Simplify J into J 18.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.980 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.981 * [backup-simplify]: Simplify (- 0) into 0 18.981 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.981 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 18.981 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 18.981 * [backup-simplify]: Simplify (* 2 1/2) into 1 18.981 * [taylor]: Taking taylor expansion of 1 in J 18.981 * [backup-simplify]: Simplify 1 into 1 18.981 * [backup-simplify]: Simplify (+ 0) into 0 18.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 18.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 18.983 * [backup-simplify]: Simplify (- 0) into 0 18.983 * [backup-simplify]: Simplify (+ 0 0) into 0 18.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 18.983 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 18.984 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 18.984 * [taylor]: Taking taylor expansion of 0 in J 18.984 * [backup-simplify]: Simplify 0 into 0 18.984 * [taylor]: Taking taylor expansion of 1 in K 18.984 * [backup-simplify]: Simplify 1 into 1 18.984 * [backup-simplify]: Simplify 1 into 1 18.984 * [backup-simplify]: Simplify (* 1 1) into 1 18.985 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.987 * [backup-simplify]: Simplify (- 0) into 0 18.987 * [backup-simplify]: Simplify (+ 0 0) into 0 18.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.988 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 18.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 18.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.990 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.991 * [backup-simplify]: Simplify (- 0) into 0 18.991 * [backup-simplify]: Simplify (+ 0 0) into 0 18.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.992 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 18.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 18.992 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 18.993 * [backup-simplify]: Simplify (+ 1 0) into 1 18.993 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 18.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 18.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.995 * [backup-simplify]: Simplify (- 0) into 0 18.995 * [backup-simplify]: Simplify (+ 0 0) into 0 18.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 18.996 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 18.997 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 18.997 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 18.997 * [taylor]: Taking taylor expansion of 2 in J 18.997 * [backup-simplify]: Simplify 2 into 2 18.997 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 18.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 18.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 18.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 18.997 * [taylor]: Taking taylor expansion of -1/2 in J 18.997 * [backup-simplify]: Simplify -1/2 into -1/2 18.997 * [taylor]: Taking taylor expansion of K in J 18.997 * [backup-simplify]: Simplify K into K 18.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 18.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 18.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 18.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 18.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 18.998 * [backup-simplify]: Simplify (- 0) into 0 18.998 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 18.998 * [taylor]: Taking taylor expansion of (pow J 2) in J 18.998 * [taylor]: Taking taylor expansion of J in J 18.998 * [backup-simplify]: Simplify 0 into 0 18.998 * [backup-simplify]: Simplify 1 into 1 18.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 18.998 * [backup-simplify]: Simplify (* 1 1) into 1 18.999 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 18.999 * [backup-simplify]: Simplify (+ 0) into 0 18.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 18.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.001 * [backup-simplify]: Simplify (- 0) into 0 19.001 * [backup-simplify]: Simplify (+ 0 0) into 0 19.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 19.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 19.003 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 19.003 * [taylor]: Taking taylor expansion of 0 in K 19.003 * [backup-simplify]: Simplify 0 into 0 19.003 * [backup-simplify]: Simplify 0 into 0 19.003 * [taylor]: Taking taylor expansion of 0 in K 19.003 * [backup-simplify]: Simplify 0 into 0 19.003 * [backup-simplify]: Simplify 0 into 0 19.003 * [taylor]: Taking taylor expansion of 0 in K 19.003 * [backup-simplify]: Simplify 0 into 0 19.004 * [backup-simplify]: Simplify 0 into 0 19.004 * [backup-simplify]: Simplify 0 into 0 19.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.006 * [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 19.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.010 * [backup-simplify]: Simplify (- 0) into 0 19.011 * [backup-simplify]: Simplify (+ 0 0) into 0 19.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.012 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 19.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.015 * [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 19.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.017 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.018 * [backup-simplify]: Simplify (- 0) into 0 19.019 * [backup-simplify]: Simplify (+ 0 0) into 0 19.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.020 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 19.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.022 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 19.022 * [backup-simplify]: Simplify (+ 0 0) into 0 19.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.023 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.027 * [backup-simplify]: Simplify (- 0) into 0 19.027 * [backup-simplify]: Simplify (+ 0 0) into 0 19.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 19.028 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 19.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 19.029 * [taylor]: Taking taylor expansion of 0 in J 19.029 * [backup-simplify]: Simplify 0 into 0 19.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.032 * [backup-simplify]: Simplify (- 0) into 0 19.032 * [backup-simplify]: Simplify (+ 0 0) into 0 19.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 19.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 19.036 * [taylor]: Taking taylor expansion of 0 in K 19.036 * [backup-simplify]: Simplify 0 into 0 19.036 * [backup-simplify]: Simplify 0 into 0 19.036 * [taylor]: Taking taylor expansion of 0 in K 19.036 * [backup-simplify]: Simplify 0 into 0 19.036 * [backup-simplify]: Simplify 0 into 0 19.036 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 19.036 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 19.036 * [backup-simplify]: Simplify (/ (/ U J) (* (cos (/ K 2)) 2)) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 19.036 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 19.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.036 * [taylor]: Taking taylor expansion of 1/2 in K 19.036 * [backup-simplify]: Simplify 1/2 into 1/2 19.036 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.036 * [taylor]: Taking taylor expansion of U in K 19.036 * [backup-simplify]: Simplify U into U 19.036 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.036 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.036 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.036 * [taylor]: Taking taylor expansion of 1/2 in K 19.036 * [backup-simplify]: Simplify 1/2 into 1/2 19.036 * [taylor]: Taking taylor expansion of K in K 19.037 * [backup-simplify]: Simplify 0 into 0 19.037 * [backup-simplify]: Simplify 1 into 1 19.037 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.038 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.038 * [taylor]: Taking taylor expansion of J in K 19.038 * [backup-simplify]: Simplify J into J 19.038 * [backup-simplify]: Simplify (* 1 J) into J 19.038 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.038 * [taylor]: Taking taylor expansion of 1/2 in J 19.038 * [backup-simplify]: Simplify 1/2 into 1/2 19.038 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.038 * [taylor]: Taking taylor expansion of U in J 19.038 * [backup-simplify]: Simplify U into U 19.038 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.038 * [taylor]: Taking taylor expansion of 1/2 in J 19.038 * [backup-simplify]: Simplify 1/2 into 1/2 19.038 * [taylor]: Taking taylor expansion of K in J 19.038 * [backup-simplify]: Simplify K into K 19.038 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.038 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.038 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.038 * [taylor]: Taking taylor expansion of J in J 19.038 * [backup-simplify]: Simplify 0 into 0 19.038 * [backup-simplify]: Simplify 1 into 1 19.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.039 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.039 * [backup-simplify]: Simplify (- 0) into 0 19.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.040 * [backup-simplify]: Simplify (+ 0) into 0 19.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.042 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.042 * [backup-simplify]: Simplify (- 0) into 0 19.042 * [backup-simplify]: Simplify (+ 0 0) into 0 19.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.043 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.043 * [taylor]: Taking taylor expansion of 1/2 in U 19.043 * [backup-simplify]: Simplify 1/2 into 1/2 19.043 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.043 * [taylor]: Taking taylor expansion of U in U 19.043 * [backup-simplify]: Simplify 0 into 0 19.043 * [backup-simplify]: Simplify 1 into 1 19.043 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.043 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.043 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.043 * [taylor]: Taking taylor expansion of 1/2 in U 19.043 * [backup-simplify]: Simplify 1/2 into 1/2 19.043 * [taylor]: Taking taylor expansion of K in U 19.043 * [backup-simplify]: Simplify K into K 19.043 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.043 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.043 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.043 * [taylor]: Taking taylor expansion of J in U 19.043 * [backup-simplify]: Simplify J into J 19.043 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.043 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.044 * [backup-simplify]: Simplify (- 0) into 0 19.044 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.044 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.044 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.044 * [taylor]: Taking taylor expansion of 1/2 in U 19.044 * [backup-simplify]: Simplify 1/2 into 1/2 19.044 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.044 * [taylor]: Taking taylor expansion of U in U 19.044 * [backup-simplify]: Simplify 0 into 0 19.044 * [backup-simplify]: Simplify 1 into 1 19.044 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.044 * [taylor]: Taking taylor expansion of 1/2 in U 19.044 * [backup-simplify]: Simplify 1/2 into 1/2 19.044 * [taylor]: Taking taylor expansion of K in U 19.044 * [backup-simplify]: Simplify K into K 19.044 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.044 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.045 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.045 * [taylor]: Taking taylor expansion of J in U 19.045 * [backup-simplify]: Simplify J into J 19.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.045 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.045 * [backup-simplify]: Simplify (- 0) into 0 19.045 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.045 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.046 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.046 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 19.046 * [taylor]: Taking taylor expansion of 1/2 in J 19.046 * [backup-simplify]: Simplify 1/2 into 1/2 19.046 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.046 * [taylor]: Taking taylor expansion of 1/2 in J 19.046 * [backup-simplify]: Simplify 1/2 into 1/2 19.046 * [taylor]: Taking taylor expansion of K in J 19.046 * [backup-simplify]: Simplify K into K 19.046 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.046 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.046 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.046 * [taylor]: Taking taylor expansion of J in J 19.046 * [backup-simplify]: Simplify 0 into 0 19.046 * [backup-simplify]: Simplify 1 into 1 19.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.046 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.047 * [backup-simplify]: Simplify (- 0) into 0 19.047 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.047 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.047 * [backup-simplify]: Simplify (+ 0) into 0 19.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.049 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.049 * [backup-simplify]: Simplify (- 0) into 0 19.050 * [backup-simplify]: Simplify (+ 0 0) into 0 19.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.050 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 19.050 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 19.050 * [taylor]: Taking taylor expansion of 1/2 in K 19.050 * [backup-simplify]: Simplify 1/2 into 1/2 19.050 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.050 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.050 * [taylor]: Taking taylor expansion of 1/2 in K 19.050 * [backup-simplify]: Simplify 1/2 into 1/2 19.050 * [taylor]: Taking taylor expansion of K in K 19.050 * [backup-simplify]: Simplify 0 into 0 19.050 * [backup-simplify]: Simplify 1 into 1 19.051 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.052 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.052 * [backup-simplify]: Simplify 1/2 into 1/2 19.052 * [backup-simplify]: Simplify (+ 0) into 0 19.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.055 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.055 * [backup-simplify]: Simplify (- 0) into 0 19.055 * [backup-simplify]: Simplify (+ 0 0) into 0 19.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.056 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.057 * [taylor]: Taking taylor expansion of 0 in J 19.057 * [backup-simplify]: Simplify 0 into 0 19.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.066 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.067 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.067 * [backup-simplify]: Simplify (- 0) into 0 19.068 * [backup-simplify]: Simplify (+ 0 0) into 0 19.068 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.069 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.069 * [taylor]: Taking taylor expansion of 0 in K 19.069 * [backup-simplify]: Simplify 0 into 0 19.069 * [backup-simplify]: Simplify 0 into 0 19.069 * [backup-simplify]: Simplify (+ 0) into 0 19.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.070 * [backup-simplify]: Simplify 0 into 0 19.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.074 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.074 * [backup-simplify]: Simplify (- 0) into 0 19.075 * [backup-simplify]: Simplify (+ 0 0) into 0 19.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 19.076 * [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 19.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 19.077 * [taylor]: Taking taylor expansion of 0 in J 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [taylor]: Taking taylor expansion of 0 in K 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [backup-simplify]: Simplify 0 into 0 19.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.079 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.082 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.082 * [backup-simplify]: Simplify (- 0) into 0 19.082 * [backup-simplify]: Simplify (+ 0 0) into 0 19.083 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.083 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 19.083 * [taylor]: Taking taylor expansion of 0 in K 19.084 * [backup-simplify]: Simplify 0 into 0 19.084 * [backup-simplify]: Simplify 0 into 0 19.084 * [backup-simplify]: Simplify 0 into 0 19.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 19.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 19.085 * [backup-simplify]: Simplify 1/16 into 1/16 19.086 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.087 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.091 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.091 * [backup-simplify]: Simplify (- 0) into 0 19.091 * [backup-simplify]: Simplify (+ 0 0) into 0 19.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 19.092 * [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 19.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 19.094 * [taylor]: Taking taylor expansion of 0 in J 19.094 * [backup-simplify]: Simplify 0 into 0 19.094 * [taylor]: Taking taylor expansion of 0 in K 19.094 * [backup-simplify]: Simplify 0 into 0 19.094 * [backup-simplify]: Simplify 0 into 0 19.094 * [taylor]: Taking taylor expansion of 0 in K 19.094 * [backup-simplify]: Simplify 0 into 0 19.094 * [backup-simplify]: Simplify 0 into 0 19.096 * [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 19.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 19.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.100 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.101 * [backup-simplify]: Simplify (- 0) into 0 19.101 * [backup-simplify]: Simplify (+ 0 0) into 0 19.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.102 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 19.102 * [taylor]: Taking taylor expansion of 0 in K 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.103 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 19.103 * [backup-simplify]: Simplify (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2)) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.103 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 19.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.103 * [taylor]: Taking taylor expansion of 1/2 in K 19.103 * [backup-simplify]: Simplify 1/2 into 1/2 19.103 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.103 * [taylor]: Taking taylor expansion of J in K 19.103 * [backup-simplify]: Simplify J into J 19.103 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.103 * [taylor]: Taking taylor expansion of U in K 19.103 * [backup-simplify]: Simplify U into U 19.103 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.103 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.103 * [taylor]: Taking taylor expansion of 1/2 in K 19.103 * [backup-simplify]: Simplify 1/2 into 1/2 19.103 * [taylor]: Taking taylor expansion of K in K 19.103 * [backup-simplify]: Simplify 0 into 0 19.103 * [backup-simplify]: Simplify 1 into 1 19.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.104 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.104 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.104 * [taylor]: Taking taylor expansion of 1/2 in J 19.104 * [backup-simplify]: Simplify 1/2 into 1/2 19.104 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.104 * [taylor]: Taking taylor expansion of J in J 19.104 * [backup-simplify]: Simplify 0 into 0 19.104 * [backup-simplify]: Simplify 1 into 1 19.104 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.104 * [taylor]: Taking taylor expansion of U in J 19.104 * [backup-simplify]: Simplify U into U 19.104 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.104 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.104 * [taylor]: Taking taylor expansion of 1/2 in J 19.104 * [backup-simplify]: Simplify 1/2 into 1/2 19.104 * [taylor]: Taking taylor expansion of K in J 19.104 * [backup-simplify]: Simplify K into K 19.104 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.104 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.104 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.105 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.105 * [backup-simplify]: Simplify (- 0) into 0 19.105 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.105 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.105 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.105 * [taylor]: Taking taylor expansion of 1/2 in U 19.105 * [backup-simplify]: Simplify 1/2 into 1/2 19.105 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.105 * [taylor]: Taking taylor expansion of J in U 19.105 * [backup-simplify]: Simplify J into J 19.105 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.105 * [taylor]: Taking taylor expansion of U in U 19.105 * [backup-simplify]: Simplify 0 into 0 19.105 * [backup-simplify]: Simplify 1 into 1 19.105 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.105 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.105 * [taylor]: Taking taylor expansion of 1/2 in U 19.105 * [backup-simplify]: Simplify 1/2 into 1/2 19.106 * [taylor]: Taking taylor expansion of K in U 19.106 * [backup-simplify]: Simplify K into K 19.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.106 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.106 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.106 * [backup-simplify]: Simplify (- 0) into 0 19.106 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.106 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.107 * [backup-simplify]: Simplify (+ 0) into 0 19.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.109 * [backup-simplify]: Simplify (- 0) into 0 19.109 * [backup-simplify]: Simplify (+ 0 0) into 0 19.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.109 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.109 * [taylor]: Taking taylor expansion of 1/2 in U 19.109 * [backup-simplify]: Simplify 1/2 into 1/2 19.109 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.109 * [taylor]: Taking taylor expansion of J in U 19.110 * [backup-simplify]: Simplify J into J 19.110 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.110 * [taylor]: Taking taylor expansion of U in U 19.110 * [backup-simplify]: Simplify 0 into 0 19.110 * [backup-simplify]: Simplify 1 into 1 19.110 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.110 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.110 * [taylor]: Taking taylor expansion of 1/2 in U 19.110 * [backup-simplify]: Simplify 1/2 into 1/2 19.110 * [taylor]: Taking taylor expansion of K in U 19.110 * [backup-simplify]: Simplify K into K 19.110 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.110 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.110 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.110 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.110 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.110 * [backup-simplify]: Simplify (- 0) into 0 19.110 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.111 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.111 * [backup-simplify]: Simplify (+ 0) into 0 19.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.114 * [backup-simplify]: Simplify (- 0) into 0 19.114 * [backup-simplify]: Simplify (+ 0 0) into 0 19.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.114 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.115 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 19.115 * [taylor]: Taking taylor expansion of 1/2 in J 19.115 * [backup-simplify]: Simplify 1/2 into 1/2 19.115 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 19.115 * [taylor]: Taking taylor expansion of J in J 19.115 * [backup-simplify]: Simplify 0 into 0 19.115 * [backup-simplify]: Simplify 1 into 1 19.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.115 * [taylor]: Taking taylor expansion of 1/2 in J 19.115 * [backup-simplify]: Simplify 1/2 into 1/2 19.115 * [taylor]: Taking taylor expansion of K in J 19.115 * [backup-simplify]: Simplify K into K 19.115 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.115 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.115 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.115 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.115 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.116 * [backup-simplify]: Simplify (- 0) into 0 19.116 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.116 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 19.116 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 19.116 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 19.116 * [taylor]: Taking taylor expansion of 1/2 in K 19.116 * [backup-simplify]: Simplify 1/2 into 1/2 19.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.116 * [taylor]: Taking taylor expansion of 1/2 in K 19.116 * [backup-simplify]: Simplify 1/2 into 1/2 19.116 * [taylor]: Taking taylor expansion of K in K 19.116 * [backup-simplify]: Simplify 0 into 0 19.116 * [backup-simplify]: Simplify 1 into 1 19.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.117 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.117 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.120 * [backup-simplify]: Simplify (- 0) into 0 19.120 * [backup-simplify]: Simplify (+ 0 0) into 0 19.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.121 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.122 * [taylor]: Taking taylor expansion of 0 in J 19.122 * [backup-simplify]: Simplify 0 into 0 19.122 * [taylor]: Taking taylor expansion of 0 in K 19.122 * [backup-simplify]: Simplify 0 into 0 19.122 * [backup-simplify]: Simplify 0 into 0 19.122 * [backup-simplify]: Simplify (+ 0) into 0 19.123 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.123 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.124 * [backup-simplify]: Simplify (- 0) into 0 19.125 * [backup-simplify]: Simplify (+ 0 0) into 0 19.125 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 19.125 * [taylor]: Taking taylor expansion of 0 in K 19.125 * [backup-simplify]: Simplify 0 into 0 19.125 * [backup-simplify]: Simplify 0 into 0 19.125 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.126 * [backup-simplify]: Simplify 0 into 0 19.126 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.127 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.130 * [backup-simplify]: Simplify (- 0) into 0 19.130 * [backup-simplify]: Simplify (+ 0 0) into 0 19.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.131 * [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 19.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.132 * [taylor]: Taking taylor expansion of 0 in J 19.132 * [backup-simplify]: Simplify 0 into 0 19.132 * [taylor]: Taking taylor expansion of 0 in K 19.132 * [backup-simplify]: Simplify 0 into 0 19.132 * [backup-simplify]: Simplify 0 into 0 19.132 * [taylor]: Taking taylor expansion of 0 in K 19.132 * [backup-simplify]: Simplify 0 into 0 19.132 * [backup-simplify]: Simplify 0 into 0 19.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.134 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.135 * [backup-simplify]: Simplify (- 0) into 0 19.135 * [backup-simplify]: Simplify (+ 0 0) into 0 19.135 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 19.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 19.136 * [taylor]: Taking taylor expansion of 0 in K 19.136 * [backup-simplify]: Simplify 0 into 0 19.136 * [backup-simplify]: Simplify 0 into 0 19.136 * [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))) 19.136 * [backup-simplify]: Simplify (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.136 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 19.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.136 * [taylor]: Taking taylor expansion of 1/2 in K 19.136 * [backup-simplify]: Simplify 1/2 into 1/2 19.136 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.136 * [taylor]: Taking taylor expansion of J in K 19.136 * [backup-simplify]: Simplify J into J 19.136 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.136 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.136 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.136 * [taylor]: Taking taylor expansion of -1/2 in K 19.136 * [backup-simplify]: Simplify -1/2 into -1/2 19.136 * [taylor]: Taking taylor expansion of K in K 19.136 * [backup-simplify]: Simplify 0 into 0 19.136 * [backup-simplify]: Simplify 1 into 1 19.136 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.136 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.136 * [taylor]: Taking taylor expansion of U in K 19.136 * [backup-simplify]: Simplify U into U 19.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.137 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.137 * [taylor]: Taking taylor expansion of 1/2 in J 19.137 * [backup-simplify]: Simplify 1/2 into 1/2 19.137 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.137 * [taylor]: Taking taylor expansion of J in J 19.137 * [backup-simplify]: Simplify 0 into 0 19.137 * [backup-simplify]: Simplify 1 into 1 19.137 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.137 * [taylor]: Taking taylor expansion of -1/2 in J 19.137 * [backup-simplify]: Simplify -1/2 into -1/2 19.137 * [taylor]: Taking taylor expansion of K in J 19.137 * [backup-simplify]: Simplify K into K 19.137 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.137 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.137 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.137 * [taylor]: Taking taylor expansion of U in J 19.137 * [backup-simplify]: Simplify U into U 19.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.137 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.137 * [backup-simplify]: Simplify (- 0) into 0 19.137 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.138 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.138 * [taylor]: Taking taylor expansion of 1/2 in U 19.138 * [backup-simplify]: Simplify 1/2 into 1/2 19.138 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.138 * [taylor]: Taking taylor expansion of J in U 19.138 * [backup-simplify]: Simplify J into J 19.138 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.138 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.138 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.138 * [taylor]: Taking taylor expansion of -1/2 in U 19.138 * [backup-simplify]: Simplify -1/2 into -1/2 19.138 * [taylor]: Taking taylor expansion of K in U 19.138 * [backup-simplify]: Simplify K into K 19.138 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.138 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.138 * [taylor]: Taking taylor expansion of U in U 19.138 * [backup-simplify]: Simplify 0 into 0 19.138 * [backup-simplify]: Simplify 1 into 1 19.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.138 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.138 * [backup-simplify]: Simplify (- 0) into 0 19.138 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.139 * [backup-simplify]: Simplify (+ 0) into 0 19.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.140 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.140 * [backup-simplify]: Simplify (- 0) into 0 19.140 * [backup-simplify]: Simplify (+ 0 0) into 0 19.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.140 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.141 * [taylor]: Taking taylor expansion of 1/2 in U 19.141 * [backup-simplify]: Simplify 1/2 into 1/2 19.141 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.141 * [taylor]: Taking taylor expansion of J in U 19.141 * [backup-simplify]: Simplify J into J 19.141 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.141 * [taylor]: Taking taylor expansion of -1/2 in U 19.141 * [backup-simplify]: Simplify -1/2 into -1/2 19.141 * [taylor]: Taking taylor expansion of K in U 19.141 * [backup-simplify]: Simplify K into K 19.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.141 * [taylor]: Taking taylor expansion of U in U 19.141 * [backup-simplify]: Simplify 0 into 0 19.141 * [backup-simplify]: Simplify 1 into 1 19.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.141 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.141 * [backup-simplify]: Simplify (- 0) into 0 19.141 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.142 * [backup-simplify]: Simplify (+ 0) into 0 19.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.143 * [backup-simplify]: Simplify (- 0) into 0 19.143 * [backup-simplify]: Simplify (+ 0 0) into 0 19.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.143 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.144 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 19.144 * [taylor]: Taking taylor expansion of 1/2 in J 19.144 * [backup-simplify]: Simplify 1/2 into 1/2 19.144 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 19.144 * [taylor]: Taking taylor expansion of J in J 19.144 * [backup-simplify]: Simplify 0 into 0 19.144 * [backup-simplify]: Simplify 1 into 1 19.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.144 * [taylor]: Taking taylor expansion of -1/2 in J 19.144 * [backup-simplify]: Simplify -1/2 into -1/2 19.144 * [taylor]: Taking taylor expansion of K in J 19.144 * [backup-simplify]: Simplify K into K 19.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.144 * [backup-simplify]: Simplify (- 0) into 0 19.144 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.144 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 19.144 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 19.144 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 19.144 * [taylor]: Taking taylor expansion of 1/2 in K 19.145 * [backup-simplify]: Simplify 1/2 into 1/2 19.145 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.145 * [taylor]: Taking taylor expansion of -1/2 in K 19.145 * [backup-simplify]: Simplify -1/2 into -1/2 19.145 * [taylor]: Taking taylor expansion of K in K 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify 1 into 1 19.145 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.145 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.145 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.145 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.147 * [backup-simplify]: Simplify (- 0) into 0 19.147 * [backup-simplify]: Simplify (+ 0 0) into 0 19.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.148 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.148 * [taylor]: Taking taylor expansion of 0 in J 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [taylor]: Taking taylor expansion of 0 in K 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [backup-simplify]: Simplify 0 into 0 19.149 * [backup-simplify]: Simplify (+ 0) into 0 19.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.149 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.150 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.150 * [backup-simplify]: Simplify (- 0) into 0 19.150 * [backup-simplify]: Simplify (+ 0 0) into 0 19.150 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 19.151 * [taylor]: Taking taylor expansion of 0 in K 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.154 * [backup-simplify]: Simplify (- 0) into 0 19.154 * [backup-simplify]: Simplify (+ 0 0) into 0 19.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.154 * [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 19.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.155 * [taylor]: Taking taylor expansion of 0 in J 19.155 * [backup-simplify]: Simplify 0 into 0 19.155 * [taylor]: Taking taylor expansion of 0 in K 19.155 * [backup-simplify]: Simplify 0 into 0 19.155 * [backup-simplify]: Simplify 0 into 0 19.155 * [taylor]: Taking taylor expansion of 0 in K 19.155 * [backup-simplify]: Simplify 0 into 0 19.155 * [backup-simplify]: Simplify 0 into 0 19.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.158 * [backup-simplify]: Simplify (- 0) into 0 19.158 * [backup-simplify]: Simplify (+ 0 0) into 0 19.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 19.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 19.159 * [taylor]: Taking taylor expansion of 0 in K 19.159 * [backup-simplify]: Simplify 0 into 0 19.159 * [backup-simplify]: Simplify 0 into 0 19.159 * [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))) 19.160 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 19.160 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) into (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 19.160 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 19.160 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 19.160 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.160 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.160 * [taylor]: Taking taylor expansion of 1/2 in K 19.160 * [backup-simplify]: Simplify 1/2 into 1/2 19.160 * [taylor]: Taking taylor expansion of K in K 19.160 * [backup-simplify]: Simplify 0 into 0 19.160 * [backup-simplify]: Simplify 1 into 1 19.161 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.162 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.162 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.162 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.162 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 19.162 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.162 * [taylor]: Taking taylor expansion of 1 in K 19.162 * [backup-simplify]: Simplify 1 into 1 19.162 * [taylor]: Taking taylor expansion of 1 in K 19.162 * [backup-simplify]: Simplify 1 into 1 19.162 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.162 * [taylor]: Taking taylor expansion of 1/2 in K 19.162 * [backup-simplify]: Simplify 1/2 into 1/2 19.162 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.162 * [taylor]: Taking taylor expansion of U in K 19.162 * [backup-simplify]: Simplify U into U 19.162 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.162 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.162 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.162 * [taylor]: Taking taylor expansion of 1/2 in K 19.162 * [backup-simplify]: Simplify 1/2 into 1/2 19.162 * [taylor]: Taking taylor expansion of K in K 19.162 * [backup-simplify]: Simplify 0 into 0 19.162 * [backup-simplify]: Simplify 1 into 1 19.163 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.164 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.164 * [taylor]: Taking taylor expansion of J in K 19.164 * [backup-simplify]: Simplify J into J 19.164 * [backup-simplify]: Simplify (* 1 J) into J 19.164 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.164 * [taylor]: Taking taylor expansion of 1/2 in K 19.164 * [backup-simplify]: Simplify 1/2 into 1/2 19.164 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.164 * [taylor]: Taking taylor expansion of U in K 19.164 * [backup-simplify]: Simplify U into U 19.164 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.164 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.164 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.164 * [taylor]: Taking taylor expansion of 1/2 in K 19.164 * [backup-simplify]: Simplify 1/2 into 1/2 19.164 * [taylor]: Taking taylor expansion of K in K 19.164 * [backup-simplify]: Simplify 0 into 0 19.164 * [backup-simplify]: Simplify 1 into 1 19.165 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.165 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.166 * [taylor]: Taking taylor expansion of J in K 19.166 * [backup-simplify]: Simplify J into J 19.166 * [backup-simplify]: Simplify (* 1 J) into J 19.166 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.166 * [backup-simplify]: Simplify (* 1 1) into 1 19.166 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.166 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.166 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 19.167 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 19.167 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 19.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.168 * [backup-simplify]: Simplify (+ 0) into 0 19.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.169 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.170 * [backup-simplify]: Simplify (+ 0) into 0 19.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.170 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 19.171 * [backup-simplify]: Simplify (+ 0 0) into 0 19.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 19.172 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 19.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.172 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.172 * [taylor]: Taking taylor expansion of 1/2 in J 19.172 * [backup-simplify]: Simplify 1/2 into 1/2 19.172 * [taylor]: Taking taylor expansion of K in J 19.172 * [backup-simplify]: Simplify K into K 19.172 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.172 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.172 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.172 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.172 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.172 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 19.172 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.172 * [taylor]: Taking taylor expansion of 1 in J 19.172 * [backup-simplify]: Simplify 1 into 1 19.172 * [taylor]: Taking taylor expansion of 1 in J 19.172 * [backup-simplify]: Simplify 1 into 1 19.172 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.172 * [taylor]: Taking taylor expansion of 1/2 in J 19.172 * [backup-simplify]: Simplify 1/2 into 1/2 19.172 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.172 * [taylor]: Taking taylor expansion of U in J 19.172 * [backup-simplify]: Simplify U into U 19.172 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.172 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.172 * [taylor]: Taking taylor expansion of 1/2 in J 19.172 * [backup-simplify]: Simplify 1/2 into 1/2 19.173 * [taylor]: Taking taylor expansion of K in J 19.173 * [backup-simplify]: Simplify K into K 19.173 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.173 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.173 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.173 * [taylor]: Taking taylor expansion of J in J 19.173 * [backup-simplify]: Simplify 0 into 0 19.173 * [backup-simplify]: Simplify 1 into 1 19.173 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.173 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.174 * [backup-simplify]: Simplify (- 0) into 0 19.174 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.174 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.174 * [backup-simplify]: Simplify (+ 0) into 0 19.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.176 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.177 * [backup-simplify]: Simplify (- 0) into 0 19.177 * [backup-simplify]: Simplify (+ 0 0) into 0 19.178 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.178 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.178 * [taylor]: Taking taylor expansion of 1/2 in J 19.178 * [backup-simplify]: Simplify 1/2 into 1/2 19.178 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.178 * [taylor]: Taking taylor expansion of U in J 19.178 * [backup-simplify]: Simplify U into U 19.178 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.178 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.178 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.178 * [taylor]: Taking taylor expansion of 1/2 in J 19.178 * [backup-simplify]: Simplify 1/2 into 1/2 19.178 * [taylor]: Taking taylor expansion of K in J 19.178 * [backup-simplify]: Simplify K into K 19.179 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.179 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.179 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.179 * [taylor]: Taking taylor expansion of J in J 19.179 * [backup-simplify]: Simplify 0 into 0 19.179 * [backup-simplify]: Simplify 1 into 1 19.179 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.179 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.179 * [backup-simplify]: Simplify (- 0) into 0 19.179 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.180 * [backup-simplify]: Simplify (+ 0) into 0 19.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.182 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.182 * [backup-simplify]: Simplify (- 0) into 0 19.183 * [backup-simplify]: Simplify (+ 0 0) into 0 19.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.183 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.183 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.183 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.184 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 19.184 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 19.184 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.185 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.186 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.187 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.192 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.193 * [backup-simplify]: Simplify (- 0) into 0 19.194 * [backup-simplify]: Simplify (+ 0 0) into 0 19.194 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.195 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.197 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.198 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.199 * [backup-simplify]: Simplify (- 0) into 0 19.199 * [backup-simplify]: Simplify (+ 0 0) into 0 19.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.200 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.201 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 19.201 * [backup-simplify]: Simplify (+ 0 0) into 0 19.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 19.201 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.201 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.201 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.201 * [taylor]: Taking taylor expansion of 1/2 in U 19.201 * [backup-simplify]: Simplify 1/2 into 1/2 19.201 * [taylor]: Taking taylor expansion of K in U 19.201 * [backup-simplify]: Simplify K into K 19.201 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.202 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.202 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.202 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.202 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.202 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.202 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.202 * [taylor]: Taking taylor expansion of 1 in U 19.202 * [backup-simplify]: Simplify 1 into 1 19.202 * [taylor]: Taking taylor expansion of 1 in U 19.202 * [backup-simplify]: Simplify 1 into 1 19.202 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.202 * [taylor]: Taking taylor expansion of 1/2 in U 19.202 * [backup-simplify]: Simplify 1/2 into 1/2 19.202 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.202 * [taylor]: Taking taylor expansion of U in U 19.202 * [backup-simplify]: Simplify 0 into 0 19.202 * [backup-simplify]: Simplify 1 into 1 19.202 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.202 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.202 * [taylor]: Taking taylor expansion of 1/2 in U 19.202 * [backup-simplify]: Simplify 1/2 into 1/2 19.202 * [taylor]: Taking taylor expansion of K in U 19.202 * [backup-simplify]: Simplify K into K 19.202 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.202 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.202 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.202 * [taylor]: Taking taylor expansion of J in U 19.202 * [backup-simplify]: Simplify J into J 19.202 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.203 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.203 * [backup-simplify]: Simplify (- 0) into 0 19.203 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.203 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.203 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.203 * [taylor]: Taking taylor expansion of 1/2 in U 19.203 * [backup-simplify]: Simplify 1/2 into 1/2 19.203 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.203 * [taylor]: Taking taylor expansion of U in U 19.204 * [backup-simplify]: Simplify 0 into 0 19.204 * [backup-simplify]: Simplify 1 into 1 19.204 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.204 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.204 * [taylor]: Taking taylor expansion of 1/2 in U 19.204 * [backup-simplify]: Simplify 1/2 into 1/2 19.204 * [taylor]: Taking taylor expansion of K in U 19.204 * [backup-simplify]: Simplify K into K 19.204 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.204 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.204 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.204 * [taylor]: Taking taylor expansion of J in U 19.204 * [backup-simplify]: Simplify J into J 19.204 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.204 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.204 * [backup-simplify]: Simplify (- 0) into 0 19.205 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.205 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.205 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.205 * [backup-simplify]: Simplify (* 1 1) into 1 19.206 * [backup-simplify]: Simplify (+ 1 0) into 1 19.206 * [backup-simplify]: Simplify (sqrt 1) into 1 19.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.207 * [backup-simplify]: Simplify (+ 0 0) into 0 19.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.208 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.208 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.208 * [taylor]: Taking taylor expansion of 1/2 in U 19.208 * [backup-simplify]: Simplify 1/2 into 1/2 19.208 * [taylor]: Taking taylor expansion of K in U 19.208 * [backup-simplify]: Simplify K into K 19.208 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.208 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.208 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.208 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.208 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.208 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.208 * [taylor]: Taking taylor expansion of 1 in U 19.208 * [backup-simplify]: Simplify 1 into 1 19.208 * [taylor]: Taking taylor expansion of 1 in U 19.208 * [backup-simplify]: Simplify 1 into 1 19.208 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.208 * [taylor]: Taking taylor expansion of 1/2 in U 19.208 * [backup-simplify]: Simplify 1/2 into 1/2 19.208 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.208 * [taylor]: Taking taylor expansion of U in U 19.208 * [backup-simplify]: Simplify 0 into 0 19.209 * [backup-simplify]: Simplify 1 into 1 19.209 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.209 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.209 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.209 * [taylor]: Taking taylor expansion of 1/2 in U 19.209 * [backup-simplify]: Simplify 1/2 into 1/2 19.209 * [taylor]: Taking taylor expansion of K in U 19.209 * [backup-simplify]: Simplify K into K 19.209 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.209 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.209 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.209 * [taylor]: Taking taylor expansion of J in U 19.209 * [backup-simplify]: Simplify J into J 19.209 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.209 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.210 * [backup-simplify]: Simplify (- 0) into 0 19.210 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.210 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.210 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.210 * [taylor]: Taking taylor expansion of 1/2 in U 19.210 * [backup-simplify]: Simplify 1/2 into 1/2 19.210 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.210 * [taylor]: Taking taylor expansion of U in U 19.210 * [backup-simplify]: Simplify 0 into 0 19.210 * [backup-simplify]: Simplify 1 into 1 19.210 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.210 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.210 * [taylor]: Taking taylor expansion of 1/2 in U 19.210 * [backup-simplify]: Simplify 1/2 into 1/2 19.210 * [taylor]: Taking taylor expansion of K in U 19.210 * [backup-simplify]: Simplify K into K 19.210 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.210 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.210 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.210 * [taylor]: Taking taylor expansion of J in U 19.210 * [backup-simplify]: Simplify J into J 19.210 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.210 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.211 * [backup-simplify]: Simplify (- 0) into 0 19.211 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.211 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.211 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.212 * [backup-simplify]: Simplify (* 1 1) into 1 19.212 * [backup-simplify]: Simplify (+ 1 0) into 1 19.212 * [backup-simplify]: Simplify (sqrt 1) into 1 19.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.213 * [backup-simplify]: Simplify (+ 0 0) into 0 19.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.214 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.214 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.215 * [backup-simplify]: Simplify (- 0) into 0 19.215 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.215 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.215 * [taylor]: Taking taylor expansion of 1/2 in J 19.215 * [backup-simplify]: Simplify 1/2 into 1/2 19.215 * [taylor]: Taking taylor expansion of K in J 19.215 * [backup-simplify]: Simplify K into K 19.215 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.215 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.215 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.216 * [backup-simplify]: Simplify (+ 0) into 0 19.216 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.218 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.218 * [backup-simplify]: Simplify (- 0) into 0 19.218 * [backup-simplify]: Simplify (+ 0 0) into 0 19.219 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.219 * [taylor]: Taking taylor expansion of 0 in J 19.219 * [backup-simplify]: Simplify 0 into 0 19.219 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.219 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.220 * [backup-simplify]: Simplify (- 0) into 0 19.220 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.220 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.220 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.220 * [taylor]: Taking taylor expansion of 1/2 in K 19.220 * [backup-simplify]: Simplify 1/2 into 1/2 19.220 * [taylor]: Taking taylor expansion of K in K 19.220 * [backup-simplify]: Simplify 0 into 0 19.220 * [backup-simplify]: Simplify 1 into 1 19.220 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.221 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.221 * [backup-simplify]: Simplify 1 into 1 19.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.222 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.222 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.222 * [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))) 19.223 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 19.224 * [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))) 19.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.225 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.227 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.228 * [backup-simplify]: Simplify (- 0) into 0 19.228 * [backup-simplify]: Simplify (+ 0 0) into 0 19.229 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) 19.229 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 19.229 * [taylor]: Taking taylor expansion of 1/8 in J 19.229 * [backup-simplify]: Simplify 1/8 into 1/8 19.229 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 19.229 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 19.229 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.229 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.229 * [taylor]: Taking taylor expansion of 1/2 in J 19.229 * [backup-simplify]: Simplify 1/2 into 1/2 19.229 * [taylor]: Taking taylor expansion of K in J 19.229 * [backup-simplify]: Simplify K into K 19.229 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.229 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.230 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.230 * [taylor]: Taking taylor expansion of (pow J 2) in J 19.230 * [taylor]: Taking taylor expansion of J in J 19.230 * [backup-simplify]: Simplify 0 into 0 19.230 * [backup-simplify]: Simplify 1 into 1 19.230 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.230 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.230 * [backup-simplify]: Simplify (- 0) into 0 19.230 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.231 * [backup-simplify]: Simplify (* 1 1) into 1 19.231 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.231 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 19.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.232 * [backup-simplify]: Simplify (+ 0) into 0 19.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.234 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.234 * [backup-simplify]: Simplify (- 0) into 0 19.234 * [backup-simplify]: Simplify (+ 0 0) into 0 19.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.236 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 19.236 * [taylor]: Taking taylor expansion of 0 in K 19.236 * [backup-simplify]: Simplify 0 into 0 19.236 * [backup-simplify]: Simplify 0 into 0 19.236 * [taylor]: Taking taylor expansion of 0 in K 19.236 * [backup-simplify]: Simplify 0 into 0 19.236 * [backup-simplify]: Simplify 0 into 0 19.236 * [backup-simplify]: Simplify (+ 0) into 0 19.237 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.239 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.239 * [backup-simplify]: Simplify (- 0) into 0 19.239 * [backup-simplify]: Simplify (+ 0 0) into 0 19.239 * [taylor]: Taking taylor expansion of 0 in K 19.239 * [backup-simplify]: Simplify 0 into 0 19.239 * [backup-simplify]: Simplify 0 into 0 19.240 * [backup-simplify]: Simplify (+ 0) into 0 19.240 * [backup-simplify]: Simplify 0 into 0 19.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.241 * [backup-simplify]: Simplify (+ 0) into 0 19.242 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.243 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.243 * [backup-simplify]: Simplify (- 0) into 0 19.244 * [backup-simplify]: Simplify (+ 0 0) into 0 19.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.244 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.245 * [backup-simplify]: Simplify (+ 0) into 0 19.245 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.247 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.247 * [backup-simplify]: Simplify (- 0) into 0 19.248 * [backup-simplify]: Simplify (+ 0 0) into 0 19.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.248 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.249 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 19.249 * [backup-simplify]: Simplify (+ 0 0) into 0 19.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 19.250 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.253 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.253 * [backup-simplify]: Simplify (- 0) into 0 19.253 * [backup-simplify]: Simplify (+ 0 0) into 0 19.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 19.254 * [taylor]: Taking taylor expansion of 0 in J 19.254 * [backup-simplify]: Simplify 0 into 0 19.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.255 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.257 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.257 * [backup-simplify]: Simplify (- 0) into 0 19.257 * [backup-simplify]: Simplify (+ 0 0) into 0 19.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 19.259 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 19.259 * [taylor]: Taking taylor expansion of 0 in K 19.259 * [backup-simplify]: Simplify 0 into 0 19.259 * [backup-simplify]: Simplify 0 into 0 19.259 * [taylor]: Taking taylor expansion of 0 in K 19.259 * [backup-simplify]: Simplify 0 into 0 19.259 * [backup-simplify]: Simplify 0 into 0 19.259 * [backup-simplify]: Simplify 1 into 1 19.259 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) into (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) 19.259 * [approximate]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in (U J K) around 0 19.259 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 19.259 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.259 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.259 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 19.259 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.259 * [taylor]: Taking taylor expansion of 1 in K 19.259 * [backup-simplify]: Simplify 1 into 1 19.259 * [taylor]: Taking taylor expansion of 1 in K 19.259 * [backup-simplify]: Simplify 1 into 1 19.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.259 * [taylor]: Taking taylor expansion of 1/2 in K 19.259 * [backup-simplify]: Simplify 1/2 into 1/2 19.260 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.260 * [taylor]: Taking taylor expansion of J in K 19.260 * [backup-simplify]: Simplify J into J 19.260 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.260 * [taylor]: Taking taylor expansion of U in K 19.260 * [backup-simplify]: Simplify U into U 19.260 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.260 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.260 * [taylor]: Taking taylor expansion of 1/2 in K 19.260 * [backup-simplify]: Simplify 1/2 into 1/2 19.260 * [taylor]: Taking taylor expansion of K in K 19.260 * [backup-simplify]: Simplify 0 into 0 19.260 * [backup-simplify]: Simplify 1 into 1 19.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.260 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.260 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.261 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.261 * [taylor]: Taking taylor expansion of 1/2 in K 19.261 * [backup-simplify]: Simplify 1/2 into 1/2 19.261 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.261 * [taylor]: Taking taylor expansion of J in K 19.261 * [backup-simplify]: Simplify J into J 19.261 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.261 * [taylor]: Taking taylor expansion of U in K 19.261 * [backup-simplify]: Simplify U into U 19.261 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.261 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.261 * [taylor]: Taking taylor expansion of 1/2 in K 19.261 * [backup-simplify]: Simplify 1/2 into 1/2 19.261 * [taylor]: Taking taylor expansion of K in K 19.261 * [backup-simplify]: Simplify 0 into 0 19.261 * [backup-simplify]: Simplify 1 into 1 19.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.261 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.262 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.262 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.262 * [backup-simplify]: Simplify (* 1 1) into 1 19.262 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.262 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.263 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 19.263 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 19.263 * [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)) 19.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.264 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.264 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.265 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.265 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.266 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 19.267 * [backup-simplify]: Simplify (+ 0 0) into 0 19.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 19.267 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.267 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.267 * [taylor]: Taking taylor expansion of 1/2 in K 19.267 * [backup-simplify]: Simplify 1/2 into 1/2 19.267 * [taylor]: Taking taylor expansion of K in K 19.267 * [backup-simplify]: Simplify 0 into 0 19.267 * [backup-simplify]: Simplify 1 into 1 19.268 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.268 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.268 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 19.268 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.268 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.268 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 19.268 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.268 * [taylor]: Taking taylor expansion of 1 in J 19.268 * [backup-simplify]: Simplify 1 into 1 19.268 * [taylor]: Taking taylor expansion of 1 in J 19.268 * [backup-simplify]: Simplify 1 into 1 19.268 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.268 * [taylor]: Taking taylor expansion of 1/2 in J 19.268 * [backup-simplify]: Simplify 1/2 into 1/2 19.268 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.268 * [taylor]: Taking taylor expansion of J in J 19.268 * [backup-simplify]: Simplify 0 into 0 19.268 * [backup-simplify]: Simplify 1 into 1 19.268 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.268 * [taylor]: Taking taylor expansion of U in J 19.268 * [backup-simplify]: Simplify U into U 19.268 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.268 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.268 * [taylor]: Taking taylor expansion of 1/2 in J 19.268 * [backup-simplify]: Simplify 1/2 into 1/2 19.268 * [taylor]: Taking taylor expansion of K in J 19.268 * [backup-simplify]: Simplify K into K 19.269 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.269 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.269 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.269 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.269 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.269 * [backup-simplify]: Simplify (- 0) into 0 19.269 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.269 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.269 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.270 * [taylor]: Taking taylor expansion of 1/2 in J 19.270 * [backup-simplify]: Simplify 1/2 into 1/2 19.270 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.270 * [taylor]: Taking taylor expansion of J in J 19.270 * [backup-simplify]: Simplify 0 into 0 19.270 * [backup-simplify]: Simplify 1 into 1 19.270 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.270 * [taylor]: Taking taylor expansion of U in J 19.270 * [backup-simplify]: Simplify U into U 19.270 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.270 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.270 * [taylor]: Taking taylor expansion of 1/2 in J 19.270 * [backup-simplify]: Simplify 1/2 into 1/2 19.270 * [taylor]: Taking taylor expansion of K in J 19.270 * [backup-simplify]: Simplify K into K 19.270 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.270 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.270 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.270 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.270 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.271 * [backup-simplify]: Simplify (- 0) into 0 19.271 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.271 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.271 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.271 * [backup-simplify]: Simplify (* 1 1) into 1 19.271 * [backup-simplify]: Simplify (+ 1 0) into 1 19.272 * [backup-simplify]: Simplify (sqrt 1) into 1 19.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.273 * [backup-simplify]: Simplify (+ 0 0) into 0 19.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.273 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.273 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.273 * [taylor]: Taking taylor expansion of 1/2 in J 19.273 * [backup-simplify]: Simplify 1/2 into 1/2 19.273 * [taylor]: Taking taylor expansion of K in J 19.273 * [backup-simplify]: Simplify K into K 19.274 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.274 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.274 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.274 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 19.274 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.274 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 19.274 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.274 * [taylor]: Taking taylor expansion of 1 in U 19.274 * [backup-simplify]: Simplify 1 into 1 19.274 * [taylor]: Taking taylor expansion of 1 in U 19.274 * [backup-simplify]: Simplify 1 into 1 19.274 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.274 * [taylor]: Taking taylor expansion of 1/2 in U 19.274 * [backup-simplify]: Simplify 1/2 into 1/2 19.274 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.274 * [taylor]: Taking taylor expansion of J in U 19.274 * [backup-simplify]: Simplify J into J 19.274 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.274 * [taylor]: Taking taylor expansion of U in U 19.274 * [backup-simplify]: Simplify 0 into 0 19.274 * [backup-simplify]: Simplify 1 into 1 19.274 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.274 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.274 * [taylor]: Taking taylor expansion of 1/2 in U 19.274 * [backup-simplify]: Simplify 1/2 into 1/2 19.274 * [taylor]: Taking taylor expansion of K in U 19.274 * [backup-simplify]: Simplify K into K 19.274 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.274 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.275 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.275 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.275 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.275 * [backup-simplify]: Simplify (- 0) into 0 19.275 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.275 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.276 * [backup-simplify]: Simplify (+ 0) into 0 19.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.278 * [backup-simplify]: Simplify (- 0) into 0 19.278 * [backup-simplify]: Simplify (+ 0 0) into 0 19.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.279 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.279 * [taylor]: Taking taylor expansion of 1/2 in U 19.279 * [backup-simplify]: Simplify 1/2 into 1/2 19.279 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.279 * [taylor]: Taking taylor expansion of J in U 19.279 * [backup-simplify]: Simplify J into J 19.279 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.279 * [taylor]: Taking taylor expansion of U in U 19.279 * [backup-simplify]: Simplify 0 into 0 19.279 * [backup-simplify]: Simplify 1 into 1 19.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.279 * [taylor]: Taking taylor expansion of 1/2 in U 19.279 * [backup-simplify]: Simplify 1/2 into 1/2 19.279 * [taylor]: Taking taylor expansion of K in U 19.279 * [backup-simplify]: Simplify K into K 19.279 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.279 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.280 * [backup-simplify]: Simplify (- 0) into 0 19.280 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.280 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.280 * [backup-simplify]: Simplify (+ 0) into 0 19.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.281 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.282 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.282 * [backup-simplify]: Simplify (- 0) into 0 19.283 * [backup-simplify]: Simplify (+ 0 0) into 0 19.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.283 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.283 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.283 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.283 * [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))) 19.284 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 19.284 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.285 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.287 * [backup-simplify]: Simplify (- 0) into 0 19.287 * [backup-simplify]: Simplify (+ 0 0) into 0 19.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.288 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.290 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.292 * [backup-simplify]: Simplify (- 0) into 0 19.292 * [backup-simplify]: Simplify (+ 0 0) into 0 19.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.294 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.294 * [backup-simplify]: Simplify (+ 0 0) into 0 19.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.294 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.294 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.294 * [taylor]: Taking taylor expansion of 1/2 in U 19.295 * [backup-simplify]: Simplify 1/2 into 1/2 19.295 * [taylor]: Taking taylor expansion of K in U 19.295 * [backup-simplify]: Simplify K into K 19.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.295 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.295 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 19.295 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.295 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 19.295 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.295 * [taylor]: Taking taylor expansion of 1 in U 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of 1 in U 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.295 * [taylor]: Taking taylor expansion of 1/2 in U 19.295 * [backup-simplify]: Simplify 1/2 into 1/2 19.295 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.295 * [taylor]: Taking taylor expansion of J in U 19.295 * [backup-simplify]: Simplify J into J 19.295 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.295 * [taylor]: Taking taylor expansion of U in U 19.295 * [backup-simplify]: Simplify 0 into 0 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.295 * [taylor]: Taking taylor expansion of 1/2 in U 19.295 * [backup-simplify]: Simplify 1/2 into 1/2 19.295 * [taylor]: Taking taylor expansion of K in U 19.295 * [backup-simplify]: Simplify K into K 19.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.296 * [backup-simplify]: Simplify (- 0) into 0 19.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.296 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.297 * [backup-simplify]: Simplify (+ 0) into 0 19.297 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.298 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.299 * [backup-simplify]: Simplify (- 0) into 0 19.299 * [backup-simplify]: Simplify (+ 0 0) into 0 19.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.300 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.300 * [taylor]: Taking taylor expansion of 1/2 in U 19.300 * [backup-simplify]: Simplify 1/2 into 1/2 19.300 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.300 * [taylor]: Taking taylor expansion of J in U 19.300 * [backup-simplify]: Simplify J into J 19.300 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.300 * [taylor]: Taking taylor expansion of U in U 19.300 * [backup-simplify]: Simplify 0 into 0 19.300 * [backup-simplify]: Simplify 1 into 1 19.300 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.300 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.300 * [taylor]: Taking taylor expansion of 1/2 in U 19.300 * [backup-simplify]: Simplify 1/2 into 1/2 19.300 * [taylor]: Taking taylor expansion of K in U 19.300 * [backup-simplify]: Simplify K into K 19.300 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.300 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.300 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.300 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.300 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.301 * [backup-simplify]: Simplify (- 0) into 0 19.301 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.301 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.301 * [backup-simplify]: Simplify (+ 0) into 0 19.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.302 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.303 * [backup-simplify]: Simplify (- 0) into 0 19.303 * [backup-simplify]: Simplify (+ 0 0) into 0 19.304 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.304 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.304 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.304 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.304 * [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))) 19.305 * [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))) 19.305 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.308 * [backup-simplify]: Simplify (- 0) into 0 19.308 * [backup-simplify]: Simplify (+ 0 0) into 0 19.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.309 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.313 * [backup-simplify]: Simplify (- 0) into 0 19.313 * [backup-simplify]: Simplify (+ 0 0) into 0 19.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.314 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.315 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.315 * [backup-simplify]: Simplify (+ 0 0) into 0 19.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.316 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.316 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.316 * [taylor]: Taking taylor expansion of 1/2 in U 19.316 * [backup-simplify]: Simplify 1/2 into 1/2 19.316 * [taylor]: Taking taylor expansion of K in U 19.316 * [backup-simplify]: Simplify K into K 19.316 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.316 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.316 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.316 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.316 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.316 * [backup-simplify]: Simplify (- 0) into 0 19.317 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.317 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 19.317 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 19.317 * [taylor]: Taking taylor expansion of 1/2 in J 19.317 * [backup-simplify]: Simplify 1/2 into 1/2 19.317 * [taylor]: Taking taylor expansion of J in J 19.317 * [backup-simplify]: Simplify 0 into 0 19.317 * [backup-simplify]: Simplify 1 into 1 19.317 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.317 * [taylor]: Taking taylor expansion of 0 in K 19.317 * [backup-simplify]: Simplify 0 into 0 19.317 * [backup-simplify]: Simplify 0 into 0 19.318 * [backup-simplify]: Simplify (+ 0) into 0 19.318 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.318 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.319 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.319 * [backup-simplify]: Simplify (- 0) into 0 19.320 * [backup-simplify]: Simplify (+ 0 0) into 0 19.320 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 19.320 * [taylor]: Taking taylor expansion of 0 in J 19.320 * [backup-simplify]: Simplify 0 into 0 19.320 * [taylor]: Taking taylor expansion of 0 in K 19.320 * [backup-simplify]: Simplify 0 into 0 19.320 * [backup-simplify]: Simplify 0 into 0 19.321 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.321 * [taylor]: Taking taylor expansion of 1/2 in K 19.321 * [backup-simplify]: Simplify 1/2 into 1/2 19.321 * [backup-simplify]: Simplify 1/2 into 1/2 19.321 * [backup-simplify]: Simplify 0 into 0 19.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.325 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.327 * [backup-simplify]: Simplify (- 0) into 0 19.327 * [backup-simplify]: Simplify (+ 0 0) into 0 19.327 * [backup-simplify]: Simplify (* 1 1) into 1 19.328 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.329 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.330 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.331 * [backup-simplify]: Simplify (- 0) into 0 19.331 * [backup-simplify]: Simplify (+ 0 0) into 0 19.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.332 * [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 19.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.333 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.335 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.336 * [backup-simplify]: Simplify (- 0) into 0 19.336 * [backup-simplify]: Simplify (+ 0 0) into 0 19.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.337 * [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 19.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.338 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 19.338 * [backup-simplify]: Simplify (+ 1 0) into 1 19.339 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 19.339 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 19.339 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 19.339 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 19.339 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.339 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.339 * [taylor]: Taking taylor expansion of 1/2 in J 19.339 * [backup-simplify]: Simplify 1/2 into 1/2 19.339 * [taylor]: Taking taylor expansion of K in J 19.339 * [backup-simplify]: Simplify K into K 19.339 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.339 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.339 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.339 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.339 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.340 * [backup-simplify]: Simplify (- 0) into 0 19.340 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.340 * [taylor]: Taking taylor expansion of J in J 19.340 * [backup-simplify]: Simplify 0 into 0 19.340 * [backup-simplify]: Simplify 1 into 1 19.340 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 19.340 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 19.340 * [backup-simplify]: Simplify (+ 0) into 0 19.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.342 * [backup-simplify]: Simplify (- 0) into 0 19.342 * [backup-simplify]: Simplify (+ 0 0) into 0 19.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 19.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 19.343 * [taylor]: Taking taylor expansion of 0 in K 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [taylor]: Taking taylor expansion of 0 in K 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 19.343 * [taylor]: Taking taylor expansion of 0 in K 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 19.344 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) into (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 19.344 * [approximate]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 19.344 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 19.344 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.344 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.344 * [taylor]: Taking taylor expansion of -1/2 in K 19.344 * [backup-simplify]: Simplify -1/2 into -1/2 19.344 * [taylor]: Taking taylor expansion of K in K 19.344 * [backup-simplify]: Simplify 0 into 0 19.344 * [backup-simplify]: Simplify 1 into 1 19.344 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.344 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.344 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.344 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 19.344 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.344 * [taylor]: Taking taylor expansion of 1 in K 19.344 * [backup-simplify]: Simplify 1 into 1 19.344 * [taylor]: Taking taylor expansion of 1 in K 19.344 * [backup-simplify]: Simplify 1 into 1 19.344 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.344 * [taylor]: Taking taylor expansion of 1/2 in K 19.344 * [backup-simplify]: Simplify 1/2 into 1/2 19.344 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.345 * [taylor]: Taking taylor expansion of J in K 19.345 * [backup-simplify]: Simplify J into J 19.345 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.345 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.345 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.345 * [taylor]: Taking taylor expansion of -1/2 in K 19.345 * [backup-simplify]: Simplify -1/2 into -1/2 19.345 * [taylor]: Taking taylor expansion of K in K 19.345 * [backup-simplify]: Simplify 0 into 0 19.345 * [backup-simplify]: Simplify 1 into 1 19.345 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.345 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.345 * [taylor]: Taking taylor expansion of U in K 19.345 * [backup-simplify]: Simplify U into U 19.345 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.345 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.345 * [taylor]: Taking taylor expansion of 1/2 in K 19.345 * [backup-simplify]: Simplify 1/2 into 1/2 19.345 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.345 * [taylor]: Taking taylor expansion of J in K 19.345 * [backup-simplify]: Simplify J into J 19.345 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.345 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.345 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.345 * [taylor]: Taking taylor expansion of -1/2 in K 19.345 * [backup-simplify]: Simplify -1/2 into -1/2 19.345 * [taylor]: Taking taylor expansion of K in K 19.345 * [backup-simplify]: Simplify 0 into 0 19.345 * [backup-simplify]: Simplify 1 into 1 19.346 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.346 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.346 * [taylor]: Taking taylor expansion of U in K 19.346 * [backup-simplify]: Simplify U into U 19.346 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.346 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.346 * [backup-simplify]: Simplify (* 1 1) into 1 19.346 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.346 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.346 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 19.347 * [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))))) 19.347 * [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)))))) 19.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.348 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.348 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.349 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 19.349 * [backup-simplify]: Simplify (+ 0 0) into 0 19.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 19.350 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 19.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.350 * [taylor]: Taking taylor expansion of -1/2 in J 19.350 * [backup-simplify]: Simplify -1/2 into -1/2 19.350 * [taylor]: Taking taylor expansion of K in J 19.350 * [backup-simplify]: Simplify K into K 19.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.350 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.350 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 19.350 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.350 * [taylor]: Taking taylor expansion of 1 in J 19.350 * [backup-simplify]: Simplify 1 into 1 19.350 * [taylor]: Taking taylor expansion of 1 in J 19.350 * [backup-simplify]: Simplify 1 into 1 19.350 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.350 * [taylor]: Taking taylor expansion of 1/2 in J 19.350 * [backup-simplify]: Simplify 1/2 into 1/2 19.350 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.350 * [taylor]: Taking taylor expansion of J in J 19.350 * [backup-simplify]: Simplify 0 into 0 19.350 * [backup-simplify]: Simplify 1 into 1 19.350 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.350 * [taylor]: Taking taylor expansion of -1/2 in J 19.350 * [backup-simplify]: Simplify -1/2 into -1/2 19.350 * [taylor]: Taking taylor expansion of K in J 19.350 * [backup-simplify]: Simplify K into K 19.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.350 * [taylor]: Taking taylor expansion of U in J 19.350 * [backup-simplify]: Simplify U into U 19.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.351 * [backup-simplify]: Simplify (- 0) into 0 19.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.351 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.351 * [taylor]: Taking taylor expansion of 1/2 in J 19.351 * [backup-simplify]: Simplify 1/2 into 1/2 19.351 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.351 * [taylor]: Taking taylor expansion of J in J 19.351 * [backup-simplify]: Simplify 0 into 0 19.351 * [backup-simplify]: Simplify 1 into 1 19.351 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.351 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.351 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.351 * [taylor]: Taking taylor expansion of -1/2 in J 19.351 * [backup-simplify]: Simplify -1/2 into -1/2 19.351 * [taylor]: Taking taylor expansion of K in J 19.351 * [backup-simplify]: Simplify K into K 19.351 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.351 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.351 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.351 * [taylor]: Taking taylor expansion of U in J 19.351 * [backup-simplify]: Simplify U into U 19.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.351 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.351 * [backup-simplify]: Simplify (- 0) into 0 19.352 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.352 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.352 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.352 * [backup-simplify]: Simplify (* 1 1) into 1 19.352 * [backup-simplify]: Simplify (+ 1 0) into 1 19.352 * [backup-simplify]: Simplify (sqrt 1) into 1 19.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.353 * [backup-simplify]: Simplify (+ 0 0) into 0 19.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.353 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.353 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.353 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.354 * [taylor]: Taking taylor expansion of -1/2 in U 19.354 * [backup-simplify]: Simplify -1/2 into -1/2 19.354 * [taylor]: Taking taylor expansion of K in U 19.354 * [backup-simplify]: Simplify K into K 19.354 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.354 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.354 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.354 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.354 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.354 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.354 * [taylor]: Taking taylor expansion of 1 in U 19.354 * [backup-simplify]: Simplify 1 into 1 19.354 * [taylor]: Taking taylor expansion of 1 in U 19.354 * [backup-simplify]: Simplify 1 into 1 19.354 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.354 * [taylor]: Taking taylor expansion of 1/2 in U 19.354 * [backup-simplify]: Simplify 1/2 into 1/2 19.354 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.354 * [taylor]: Taking taylor expansion of J in U 19.354 * [backup-simplify]: Simplify J into J 19.354 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.354 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.354 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.354 * [taylor]: Taking taylor expansion of -1/2 in U 19.354 * [backup-simplify]: Simplify -1/2 into -1/2 19.354 * [taylor]: Taking taylor expansion of K in U 19.354 * [backup-simplify]: Simplify K into K 19.354 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.354 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.354 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.354 * [taylor]: Taking taylor expansion of U in U 19.354 * [backup-simplify]: Simplify 0 into 0 19.354 * [backup-simplify]: Simplify 1 into 1 19.354 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.354 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.355 * [backup-simplify]: Simplify (- 0) into 0 19.355 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.355 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.355 * [backup-simplify]: Simplify (+ 0) into 0 19.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.356 * [backup-simplify]: Simplify (- 0) into 0 19.357 * [backup-simplify]: Simplify (+ 0 0) into 0 19.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.357 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.357 * [taylor]: Taking taylor expansion of 1/2 in U 19.357 * [backup-simplify]: Simplify 1/2 into 1/2 19.357 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.357 * [taylor]: Taking taylor expansion of J in U 19.357 * [backup-simplify]: Simplify J into J 19.357 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.357 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.357 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.357 * [taylor]: Taking taylor expansion of -1/2 in U 19.357 * [backup-simplify]: Simplify -1/2 into -1/2 19.357 * [taylor]: Taking taylor expansion of K in U 19.357 * [backup-simplify]: Simplify K into K 19.357 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.357 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.357 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.357 * [taylor]: Taking taylor expansion of U in U 19.357 * [backup-simplify]: Simplify 0 into 0 19.357 * [backup-simplify]: Simplify 1 into 1 19.357 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.357 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.358 * [backup-simplify]: Simplify (- 0) into 0 19.358 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.358 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.358 * [backup-simplify]: Simplify (+ 0) into 0 19.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.359 * [backup-simplify]: Simplify (- 0) into 0 19.360 * [backup-simplify]: Simplify (+ 0 0) into 0 19.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.360 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.360 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.360 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.360 * [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))) 19.360 * [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))) 19.361 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.363 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.363 * [backup-simplify]: Simplify (- 0) into 0 19.363 * [backup-simplify]: Simplify (+ 0 0) into 0 19.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.364 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.366 * [backup-simplify]: Simplify (- 0) into 0 19.366 * [backup-simplify]: Simplify (+ 0 0) into 0 19.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.367 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.368 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.368 * [backup-simplify]: Simplify (+ 0 0) into 0 19.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.368 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.368 * [taylor]: Taking taylor expansion of -1/2 in U 19.368 * [backup-simplify]: Simplify -1/2 into -1/2 19.368 * [taylor]: Taking taylor expansion of K in U 19.368 * [backup-simplify]: Simplify K into K 19.368 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.368 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.368 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.368 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.368 * [taylor]: Taking taylor expansion of 1 in U 19.368 * [backup-simplify]: Simplify 1 into 1 19.368 * [taylor]: Taking taylor expansion of 1 in U 19.368 * [backup-simplify]: Simplify 1 into 1 19.368 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.368 * [taylor]: Taking taylor expansion of 1/2 in U 19.368 * [backup-simplify]: Simplify 1/2 into 1/2 19.369 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.369 * [taylor]: Taking taylor expansion of J in U 19.369 * [backup-simplify]: Simplify J into J 19.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.369 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.369 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.369 * [taylor]: Taking taylor expansion of -1/2 in U 19.369 * [backup-simplify]: Simplify -1/2 into -1/2 19.369 * [taylor]: Taking taylor expansion of K in U 19.369 * [backup-simplify]: Simplify K into K 19.369 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.369 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.369 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.369 * [taylor]: Taking taylor expansion of U in U 19.369 * [backup-simplify]: Simplify 0 into 0 19.369 * [backup-simplify]: Simplify 1 into 1 19.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.369 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.369 * [backup-simplify]: Simplify (- 0) into 0 19.369 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.370 * [backup-simplify]: Simplify (+ 0) into 0 19.370 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.371 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.371 * [backup-simplify]: Simplify (- 0) into 0 19.371 * [backup-simplify]: Simplify (+ 0 0) into 0 19.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.371 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.372 * [taylor]: Taking taylor expansion of 1/2 in U 19.372 * [backup-simplify]: Simplify 1/2 into 1/2 19.372 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.372 * [taylor]: Taking taylor expansion of J in U 19.372 * [backup-simplify]: Simplify J into J 19.372 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.372 * [taylor]: Taking taylor expansion of -1/2 in U 19.372 * [backup-simplify]: Simplify -1/2 into -1/2 19.372 * [taylor]: Taking taylor expansion of K in U 19.372 * [backup-simplify]: Simplify K into K 19.372 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.372 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.372 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.372 * [taylor]: Taking taylor expansion of U in U 19.372 * [backup-simplify]: Simplify 0 into 0 19.372 * [backup-simplify]: Simplify 1 into 1 19.372 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.372 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.372 * [backup-simplify]: Simplify (- 0) into 0 19.372 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.372 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.373 * [backup-simplify]: Simplify (+ 0) into 0 19.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.375 * [backup-simplify]: Simplify (- 0) into 0 19.375 * [backup-simplify]: Simplify (+ 0 0) into 0 19.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.376 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.376 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.376 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.376 * [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))) 19.376 * [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))) 19.377 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.378 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.379 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.380 * [backup-simplify]: Simplify (- 0) into 0 19.380 * [backup-simplify]: Simplify (+ 0 0) into 0 19.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.381 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.386 * [backup-simplify]: Simplify (- 0) into 0 19.386 * [backup-simplify]: Simplify (+ 0 0) into 0 19.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.388 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.388 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.389 * [backup-simplify]: Simplify (+ 0 0) into 0 19.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.389 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.389 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.390 * [backup-simplify]: Simplify (- 0) into 0 19.390 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 19.390 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 19.390 * [taylor]: Taking taylor expansion of 1/2 in J 19.390 * [backup-simplify]: Simplify 1/2 into 1/2 19.390 * [taylor]: Taking taylor expansion of J in J 19.390 * [backup-simplify]: Simplify 0 into 0 19.390 * [backup-simplify]: Simplify 1 into 1 19.391 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.391 * [taylor]: Taking taylor expansion of 0 in K 19.391 * [backup-simplify]: Simplify 0 into 0 19.391 * [backup-simplify]: Simplify 0 into 0 19.391 * [backup-simplify]: Simplify (+ 0) into 0 19.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.393 * [backup-simplify]: Simplify (- 0) into 0 19.394 * [backup-simplify]: Simplify (+ 0 0) into 0 19.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.394 * [taylor]: Taking taylor expansion of 0 in J 19.394 * [backup-simplify]: Simplify 0 into 0 19.394 * [taylor]: Taking taylor expansion of 0 in K 19.394 * [backup-simplify]: Simplify 0 into 0 19.394 * [backup-simplify]: Simplify 0 into 0 19.395 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.395 * [taylor]: Taking taylor expansion of 1/2 in K 19.395 * [backup-simplify]: Simplify 1/2 into 1/2 19.395 * [backup-simplify]: Simplify 1/2 into 1/2 19.395 * [backup-simplify]: Simplify 0 into 0 19.395 * [backup-simplify]: Simplify (* 1 1) into 1 19.396 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.400 * [backup-simplify]: Simplify (- 0) into 0 19.400 * [backup-simplify]: Simplify (+ 0 0) into 0 19.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.402 * [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 19.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.403 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.404 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.407 * [backup-simplify]: Simplify (- 0) into 0 19.407 * [backup-simplify]: Simplify (+ 0 0) into 0 19.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.408 * [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 19.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.410 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 19.410 * [backup-simplify]: Simplify (+ 1 0) into 1 19.411 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 19.412 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.414 * [backup-simplify]: Simplify (- 0) into 0 19.415 * [backup-simplify]: Simplify (+ 0 0) into 0 19.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 19.415 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 19.416 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 19.416 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.416 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.416 * [taylor]: Taking taylor expansion of -1/2 in J 19.416 * [backup-simplify]: Simplify -1/2 into -1/2 19.416 * [taylor]: Taking taylor expansion of K in J 19.416 * [backup-simplify]: Simplify K into K 19.416 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.416 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.416 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.416 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.416 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.416 * [backup-simplify]: Simplify (- 0) into 0 19.416 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.417 * [taylor]: Taking taylor expansion of J in J 19.417 * [backup-simplify]: Simplify 0 into 0 19.417 * [backup-simplify]: Simplify 1 into 1 19.417 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 19.417 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 19.417 * [backup-simplify]: Simplify (+ 0) into 0 19.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.418 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.418 * [backup-simplify]: Simplify (- 0) into 0 19.419 * [backup-simplify]: Simplify (+ 0 0) into 0 19.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 19.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 19.419 * [taylor]: Taking taylor expansion of 0 in K 19.419 * [backup-simplify]: Simplify 0 into 0 19.419 * [backup-simplify]: Simplify 0 into 0 19.419 * [taylor]: Taking taylor expansion of 0 in K 19.419 * [backup-simplify]: Simplify 0 into 0 19.420 * [backup-simplify]: Simplify 0 into 0 19.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 19.420 * [taylor]: Taking taylor expansion of 0 in K 19.420 * [backup-simplify]: Simplify 0 into 0 19.420 * [backup-simplify]: Simplify 0 into 0 19.420 * [backup-simplify]: Simplify 0 into 0 19.420 * [backup-simplify]: Simplify 0 into 0 19.420 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 19.420 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 19.420 * [backup-simplify]: Simplify (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) into (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) 19.420 * [approximate]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in (U J K) around 0 19.420 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.421 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 19.421 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.421 * [taylor]: Taking taylor expansion of 1 in K 19.421 * [backup-simplify]: Simplify 1 into 1 19.421 * [taylor]: Taking taylor expansion of 1 in K 19.421 * [backup-simplify]: Simplify 1 into 1 19.421 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.421 * [taylor]: Taking taylor expansion of 1/2 in K 19.421 * [backup-simplify]: Simplify 1/2 into 1/2 19.421 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.421 * [taylor]: Taking taylor expansion of U in K 19.421 * [backup-simplify]: Simplify U into U 19.421 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.421 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.421 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.421 * [taylor]: Taking taylor expansion of 1/2 in K 19.421 * [backup-simplify]: Simplify 1/2 into 1/2 19.421 * [taylor]: Taking taylor expansion of K in K 19.421 * [backup-simplify]: Simplify 0 into 0 19.421 * [backup-simplify]: Simplify 1 into 1 19.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.422 * [taylor]: Taking taylor expansion of J in K 19.422 * [backup-simplify]: Simplify J into J 19.422 * [backup-simplify]: Simplify (* 1 J) into J 19.422 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.422 * [taylor]: Taking taylor expansion of 1/2 in K 19.422 * [backup-simplify]: Simplify 1/2 into 1/2 19.422 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.422 * [taylor]: Taking taylor expansion of U in K 19.422 * [backup-simplify]: Simplify U into U 19.422 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.422 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.422 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.422 * [taylor]: Taking taylor expansion of 1/2 in K 19.422 * [backup-simplify]: Simplify 1/2 into 1/2 19.422 * [taylor]: Taking taylor expansion of K in K 19.422 * [backup-simplify]: Simplify 0 into 0 19.422 * [backup-simplify]: Simplify 1 into 1 19.422 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.423 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.423 * [taylor]: Taking taylor expansion of J in K 19.423 * [backup-simplify]: Simplify J into J 19.423 * [backup-simplify]: Simplify (* 1 J) into J 19.423 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.423 * [backup-simplify]: Simplify (* 1 1) into 1 19.423 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.423 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.423 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 19.423 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 19.423 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 19.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.424 * [backup-simplify]: Simplify (+ 0) into 0 19.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.424 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.425 * [backup-simplify]: Simplify (+ 0) into 0 19.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.425 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.426 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 19.426 * [backup-simplify]: Simplify (+ 0 0) into 0 19.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 19.426 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.426 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.426 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 19.426 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.426 * [taylor]: Taking taylor expansion of 1 in J 19.426 * [backup-simplify]: Simplify 1 into 1 19.426 * [taylor]: Taking taylor expansion of 1 in J 19.426 * [backup-simplify]: Simplify 1 into 1 19.426 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.426 * [taylor]: Taking taylor expansion of 1/2 in J 19.426 * [backup-simplify]: Simplify 1/2 into 1/2 19.426 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.426 * [taylor]: Taking taylor expansion of U in J 19.426 * [backup-simplify]: Simplify U into U 19.426 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.426 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.426 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.426 * [taylor]: Taking taylor expansion of 1/2 in J 19.426 * [backup-simplify]: Simplify 1/2 into 1/2 19.426 * [taylor]: Taking taylor expansion of K in J 19.426 * [backup-simplify]: Simplify K into K 19.426 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.427 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.427 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.427 * [taylor]: Taking taylor expansion of J in J 19.427 * [backup-simplify]: Simplify 0 into 0 19.427 * [backup-simplify]: Simplify 1 into 1 19.427 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.427 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.427 * [backup-simplify]: Simplify (- 0) into 0 19.427 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.427 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.427 * [backup-simplify]: Simplify (+ 0) into 0 19.428 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.429 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.429 * [backup-simplify]: Simplify (- 0) into 0 19.429 * [backup-simplify]: Simplify (+ 0 0) into 0 19.429 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.429 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.429 * [taylor]: Taking taylor expansion of 1/2 in J 19.429 * [backup-simplify]: Simplify 1/2 into 1/2 19.429 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.429 * [taylor]: Taking taylor expansion of U in J 19.429 * [backup-simplify]: Simplify U into U 19.429 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.429 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.430 * [taylor]: Taking taylor expansion of 1/2 in J 19.430 * [backup-simplify]: Simplify 1/2 into 1/2 19.430 * [taylor]: Taking taylor expansion of K in J 19.430 * [backup-simplify]: Simplify K into K 19.430 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.430 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.430 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.430 * [taylor]: Taking taylor expansion of J in J 19.430 * [backup-simplify]: Simplify 0 into 0 19.430 * [backup-simplify]: Simplify 1 into 1 19.430 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.430 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.430 * [backup-simplify]: Simplify (- 0) into 0 19.430 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.430 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.430 * [backup-simplify]: Simplify (+ 0) into 0 19.431 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.432 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.432 * [backup-simplify]: Simplify (- 0) into 0 19.432 * [backup-simplify]: Simplify (+ 0 0) into 0 19.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.436 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.436 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.436 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.436 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 19.436 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 19.436 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.439 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.439 * [backup-simplify]: Simplify (- 0) into 0 19.439 * [backup-simplify]: Simplify (+ 0 0) into 0 19.440 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.440 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.441 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.443 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.443 * [backup-simplify]: Simplify (- 0) into 0 19.443 * [backup-simplify]: Simplify (+ 0 0) into 0 19.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.444 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.444 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 19.444 * [backup-simplify]: Simplify (+ 0 0) into 0 19.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 19.444 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.445 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.445 * [taylor]: Taking taylor expansion of 1 in U 19.445 * [backup-simplify]: Simplify 1 into 1 19.445 * [taylor]: Taking taylor expansion of 1 in U 19.445 * [backup-simplify]: Simplify 1 into 1 19.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.445 * [taylor]: Taking taylor expansion of 1/2 in U 19.445 * [backup-simplify]: Simplify 1/2 into 1/2 19.445 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.445 * [taylor]: Taking taylor expansion of U in U 19.445 * [backup-simplify]: Simplify 0 into 0 19.445 * [backup-simplify]: Simplify 1 into 1 19.445 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.445 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.445 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.445 * [taylor]: Taking taylor expansion of 1/2 in U 19.445 * [backup-simplify]: Simplify 1/2 into 1/2 19.445 * [taylor]: Taking taylor expansion of K in U 19.445 * [backup-simplify]: Simplify K into K 19.445 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.445 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.445 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.445 * [taylor]: Taking taylor expansion of J in U 19.445 * [backup-simplify]: Simplify J into J 19.445 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.445 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.445 * [backup-simplify]: Simplify (- 0) into 0 19.445 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.445 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.445 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.446 * [taylor]: Taking taylor expansion of 1/2 in U 19.446 * [backup-simplify]: Simplify 1/2 into 1/2 19.446 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.446 * [taylor]: Taking taylor expansion of U in U 19.446 * [backup-simplify]: Simplify 0 into 0 19.446 * [backup-simplify]: Simplify 1 into 1 19.446 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.446 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.446 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.446 * [taylor]: Taking taylor expansion of 1/2 in U 19.446 * [backup-simplify]: Simplify 1/2 into 1/2 19.446 * [taylor]: Taking taylor expansion of K in U 19.446 * [backup-simplify]: Simplify K into K 19.446 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.446 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.446 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.446 * [taylor]: Taking taylor expansion of J in U 19.446 * [backup-simplify]: Simplify J into J 19.446 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.446 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.446 * [backup-simplify]: Simplify (- 0) into 0 19.446 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.446 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.446 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.447 * [backup-simplify]: Simplify (* 1 1) into 1 19.447 * [backup-simplify]: Simplify (+ 1 0) into 1 19.447 * [backup-simplify]: Simplify (sqrt 1) into 1 19.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.448 * [backup-simplify]: Simplify (+ 0 0) into 0 19.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.448 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.448 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.448 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.448 * [taylor]: Taking taylor expansion of 1 in U 19.448 * [backup-simplify]: Simplify 1 into 1 19.448 * [taylor]: Taking taylor expansion of 1 in U 19.448 * [backup-simplify]: Simplify 1 into 1 19.448 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.448 * [taylor]: Taking taylor expansion of 1/2 in U 19.448 * [backup-simplify]: Simplify 1/2 into 1/2 19.448 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.448 * [taylor]: Taking taylor expansion of U in U 19.448 * [backup-simplify]: Simplify 0 into 0 19.448 * [backup-simplify]: Simplify 1 into 1 19.448 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.448 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.448 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.448 * [taylor]: Taking taylor expansion of 1/2 in U 19.448 * [backup-simplify]: Simplify 1/2 into 1/2 19.448 * [taylor]: Taking taylor expansion of K in U 19.448 * [backup-simplify]: Simplify K into K 19.449 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.449 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.449 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.449 * [taylor]: Taking taylor expansion of J in U 19.449 * [backup-simplify]: Simplify J into J 19.449 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.449 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.449 * [backup-simplify]: Simplify (- 0) into 0 19.449 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.449 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.449 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.449 * [taylor]: Taking taylor expansion of 1/2 in U 19.449 * [backup-simplify]: Simplify 1/2 into 1/2 19.449 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.449 * [taylor]: Taking taylor expansion of U in U 19.449 * [backup-simplify]: Simplify 0 into 0 19.450 * [backup-simplify]: Simplify 1 into 1 19.450 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.450 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.450 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.450 * [taylor]: Taking taylor expansion of 1/2 in U 19.450 * [backup-simplify]: Simplify 1/2 into 1/2 19.450 * [taylor]: Taking taylor expansion of K in U 19.450 * [backup-simplify]: Simplify K into K 19.450 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.450 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.450 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.450 * [taylor]: Taking taylor expansion of J in U 19.450 * [backup-simplify]: Simplify J into J 19.450 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.450 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.450 * [backup-simplify]: Simplify (- 0) into 0 19.451 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.451 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.451 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.451 * [backup-simplify]: Simplify (* 1 1) into 1 19.451 * [backup-simplify]: Simplify (+ 1 0) into 1 19.452 * [backup-simplify]: Simplify (sqrt 1) into 1 19.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.453 * [backup-simplify]: Simplify (+ 0 0) into 0 19.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.454 * [taylor]: Taking taylor expansion of 1 in J 19.454 * [backup-simplify]: Simplify 1 into 1 19.454 * [taylor]: Taking taylor expansion of 0 in J 19.454 * [backup-simplify]: Simplify 0 into 0 19.454 * [taylor]: Taking taylor expansion of 1 in K 19.454 * [backup-simplify]: Simplify 1 into 1 19.454 * [backup-simplify]: Simplify 1 into 1 19.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.455 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.455 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.455 * [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))) 19.455 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 19.457 * [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))) 19.457 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 19.457 * [taylor]: Taking taylor expansion of 1/8 in J 19.457 * [backup-simplify]: Simplify 1/8 into 1/8 19.457 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 19.457 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 19.457 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.457 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.457 * [taylor]: Taking taylor expansion of 1/2 in J 19.457 * [backup-simplify]: Simplify 1/2 into 1/2 19.457 * [taylor]: Taking taylor expansion of K in J 19.457 * [backup-simplify]: Simplify K into K 19.457 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.457 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.457 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.457 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.457 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.458 * [backup-simplify]: Simplify (- 0) into 0 19.458 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.458 * [taylor]: Taking taylor expansion of (pow J 2) in J 19.458 * [taylor]: Taking taylor expansion of J in J 19.458 * [backup-simplify]: Simplify 0 into 0 19.458 * [backup-simplify]: Simplify 1 into 1 19.458 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 19.458 * [backup-simplify]: Simplify (* 1 1) into 1 19.459 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 19.459 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 19.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.460 * [backup-simplify]: Simplify (+ 0) into 0 19.461 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.462 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.463 * [backup-simplify]: Simplify (- 0) into 0 19.463 * [backup-simplify]: Simplify (+ 0 0) into 0 19.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 19.464 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 19.464 * [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 19.464 * [taylor]: Taking taylor expansion of 0 in K 19.464 * [backup-simplify]: Simplify 0 into 0 19.464 * [backup-simplify]: Simplify 0 into 0 19.465 * [taylor]: Taking taylor expansion of 0 in K 19.465 * [backup-simplify]: Simplify 0 into 0 19.465 * [backup-simplify]: Simplify 0 into 0 19.465 * [taylor]: Taking taylor expansion of 0 in K 19.465 * [backup-simplify]: Simplify 0 into 0 19.465 * [backup-simplify]: Simplify 0 into 0 19.465 * [backup-simplify]: Simplify 0 into 0 19.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.466 * [backup-simplify]: Simplify (+ 0) into 0 19.467 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.469 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.469 * [backup-simplify]: Simplify (- 0) into 0 19.469 * [backup-simplify]: Simplify (+ 0 0) into 0 19.470 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.470 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.471 * [backup-simplify]: Simplify (+ 0) into 0 19.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.473 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.473 * [backup-simplify]: Simplify (- 0) into 0 19.474 * [backup-simplify]: Simplify (+ 0 0) into 0 19.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.474 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.475 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 19.476 * [backup-simplify]: Simplify (+ 0 0) into 0 19.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 19.476 * [taylor]: Taking taylor expansion of 0 in J 19.476 * [backup-simplify]: Simplify 0 into 0 19.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.479 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.479 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.480 * [backup-simplify]: Simplify (- 0) into 0 19.480 * [backup-simplify]: Simplify (+ 0 0) into 0 19.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 19.481 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 19.481 * [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 19.481 * [taylor]: Taking taylor expansion of 0 in K 19.481 * [backup-simplify]: Simplify 0 into 0 19.481 * [backup-simplify]: Simplify 0 into 0 19.481 * [taylor]: Taking taylor expansion of 0 in K 19.481 * [backup-simplify]: Simplify 0 into 0 19.481 * [backup-simplify]: Simplify 0 into 0 19.481 * [backup-simplify]: Simplify 1 into 1 19.481 * [backup-simplify]: Simplify (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) into (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 19.481 * [approximate]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in (U J K) around 0 19.481 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 19.481 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.481 * [taylor]: Taking taylor expansion of 1 in K 19.481 * [backup-simplify]: Simplify 1 into 1 19.481 * [taylor]: Taking taylor expansion of 1 in K 19.481 * [backup-simplify]: Simplify 1 into 1 19.481 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.481 * [taylor]: Taking taylor expansion of 1/2 in K 19.481 * [backup-simplify]: Simplify 1/2 into 1/2 19.481 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.481 * [taylor]: Taking taylor expansion of J in K 19.481 * [backup-simplify]: Simplify J into J 19.481 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.481 * [taylor]: Taking taylor expansion of U in K 19.482 * [backup-simplify]: Simplify U into U 19.482 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.482 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.482 * [taylor]: Taking taylor expansion of 1/2 in K 19.482 * [backup-simplify]: Simplify 1/2 into 1/2 19.482 * [taylor]: Taking taylor expansion of K in K 19.482 * [backup-simplify]: Simplify 0 into 0 19.482 * [backup-simplify]: Simplify 1 into 1 19.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.482 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.482 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.482 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.482 * [taylor]: Taking taylor expansion of 1/2 in K 19.482 * [backup-simplify]: Simplify 1/2 into 1/2 19.482 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.482 * [taylor]: Taking taylor expansion of J in K 19.482 * [backup-simplify]: Simplify J into J 19.482 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.482 * [taylor]: Taking taylor expansion of U in K 19.482 * [backup-simplify]: Simplify U into U 19.482 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.482 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.482 * [taylor]: Taking taylor expansion of 1/2 in K 19.482 * [backup-simplify]: Simplify 1/2 into 1/2 19.482 * [taylor]: Taking taylor expansion of K in K 19.482 * [backup-simplify]: Simplify 0 into 0 19.482 * [backup-simplify]: Simplify 1 into 1 19.483 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.483 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.483 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.483 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.483 * [backup-simplify]: Simplify (* 1 1) into 1 19.483 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.483 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.483 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 19.484 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 19.484 * [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)) 19.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.484 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.484 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.485 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.485 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.485 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 19.486 * [backup-simplify]: Simplify (+ 0 0) into 0 19.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 19.486 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 19.486 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.486 * [taylor]: Taking taylor expansion of 1 in J 19.486 * [backup-simplify]: Simplify 1 into 1 19.486 * [taylor]: Taking taylor expansion of 1 in J 19.486 * [backup-simplify]: Simplify 1 into 1 19.486 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.486 * [taylor]: Taking taylor expansion of 1/2 in J 19.486 * [backup-simplify]: Simplify 1/2 into 1/2 19.486 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.486 * [taylor]: Taking taylor expansion of J in J 19.486 * [backup-simplify]: Simplify 0 into 0 19.486 * [backup-simplify]: Simplify 1 into 1 19.486 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.486 * [taylor]: Taking taylor expansion of U in J 19.486 * [backup-simplify]: Simplify U into U 19.486 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.486 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.486 * [taylor]: Taking taylor expansion of 1/2 in J 19.486 * [backup-simplify]: Simplify 1/2 into 1/2 19.486 * [taylor]: Taking taylor expansion of K in J 19.486 * [backup-simplify]: Simplify K into K 19.486 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.486 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.486 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.487 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.487 * [backup-simplify]: Simplify (- 0) into 0 19.487 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.487 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.487 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.487 * [taylor]: Taking taylor expansion of 1/2 in J 19.487 * [backup-simplify]: Simplify 1/2 into 1/2 19.487 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.487 * [taylor]: Taking taylor expansion of J in J 19.487 * [backup-simplify]: Simplify 0 into 0 19.487 * [backup-simplify]: Simplify 1 into 1 19.487 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.487 * [taylor]: Taking taylor expansion of U in J 19.487 * [backup-simplify]: Simplify U into U 19.487 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.487 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.487 * [taylor]: Taking taylor expansion of 1/2 in J 19.487 * [backup-simplify]: Simplify 1/2 into 1/2 19.487 * [taylor]: Taking taylor expansion of K in J 19.487 * [backup-simplify]: Simplify K into K 19.487 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.487 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.487 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.488 * [backup-simplify]: Simplify (- 0) into 0 19.488 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.488 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.488 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.488 * [backup-simplify]: Simplify (* 1 1) into 1 19.488 * [backup-simplify]: Simplify (+ 1 0) into 1 19.489 * [backup-simplify]: Simplify (sqrt 1) into 1 19.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.489 * [backup-simplify]: Simplify (+ 0 0) into 0 19.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.490 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.490 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.490 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 19.490 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.490 * [taylor]: Taking taylor expansion of 1 in U 19.490 * [backup-simplify]: Simplify 1 into 1 19.490 * [taylor]: Taking taylor expansion of 1 in U 19.490 * [backup-simplify]: Simplify 1 into 1 19.490 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.490 * [taylor]: Taking taylor expansion of 1/2 in U 19.490 * [backup-simplify]: Simplify 1/2 into 1/2 19.490 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.490 * [taylor]: Taking taylor expansion of J in U 19.490 * [backup-simplify]: Simplify J into J 19.490 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.490 * [taylor]: Taking taylor expansion of U in U 19.490 * [backup-simplify]: Simplify 0 into 0 19.490 * [backup-simplify]: Simplify 1 into 1 19.490 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.490 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.490 * [taylor]: Taking taylor expansion of 1/2 in U 19.490 * [backup-simplify]: Simplify 1/2 into 1/2 19.490 * [taylor]: Taking taylor expansion of K in U 19.490 * [backup-simplify]: Simplify K into K 19.490 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.490 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.490 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.490 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.490 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.491 * [backup-simplify]: Simplify (- 0) into 0 19.491 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.491 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.491 * [backup-simplify]: Simplify (+ 0) into 0 19.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.492 * [backup-simplify]: Simplify (- 0) into 0 19.492 * [backup-simplify]: Simplify (+ 0 0) into 0 19.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.493 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.493 * [taylor]: Taking taylor expansion of 1/2 in U 19.493 * [backup-simplify]: Simplify 1/2 into 1/2 19.493 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.493 * [taylor]: Taking taylor expansion of J in U 19.493 * [backup-simplify]: Simplify J into J 19.493 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.493 * [taylor]: Taking taylor expansion of U in U 19.493 * [backup-simplify]: Simplify 0 into 0 19.493 * [backup-simplify]: Simplify 1 into 1 19.493 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.493 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.493 * [taylor]: Taking taylor expansion of 1/2 in U 19.493 * [backup-simplify]: Simplify 1/2 into 1/2 19.493 * [taylor]: Taking taylor expansion of K in U 19.493 * [backup-simplify]: Simplify K into K 19.493 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.493 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.493 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.493 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.493 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.494 * [backup-simplify]: Simplify (- 0) into 0 19.494 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.494 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.494 * [backup-simplify]: Simplify (+ 0) into 0 19.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.495 * [backup-simplify]: Simplify (- 0) into 0 19.496 * [backup-simplify]: Simplify (+ 0 0) into 0 19.496 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.496 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.496 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.496 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.496 * [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))) 19.496 * [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))) 19.496 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.498 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.498 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.499 * [backup-simplify]: Simplify (- 0) into 0 19.499 * [backup-simplify]: Simplify (+ 0 0) into 0 19.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.499 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.502 * [backup-simplify]: Simplify (- 0) into 0 19.502 * [backup-simplify]: Simplify (+ 0 0) into 0 19.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.503 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.503 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.503 * [backup-simplify]: Simplify (+ 0 0) into 0 19.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.503 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.504 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 19.504 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.504 * [taylor]: Taking taylor expansion of 1 in U 19.504 * [backup-simplify]: Simplify 1 into 1 19.504 * [taylor]: Taking taylor expansion of 1 in U 19.504 * [backup-simplify]: Simplify 1 into 1 19.504 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.504 * [taylor]: Taking taylor expansion of 1/2 in U 19.504 * [backup-simplify]: Simplify 1/2 into 1/2 19.504 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.504 * [taylor]: Taking taylor expansion of J in U 19.504 * [backup-simplify]: Simplify J into J 19.504 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.504 * [taylor]: Taking taylor expansion of U in U 19.504 * [backup-simplify]: Simplify 0 into 0 19.504 * [backup-simplify]: Simplify 1 into 1 19.504 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.504 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.504 * [taylor]: Taking taylor expansion of 1/2 in U 19.504 * [backup-simplify]: Simplify 1/2 into 1/2 19.504 * [taylor]: Taking taylor expansion of K in U 19.504 * [backup-simplify]: Simplify K into K 19.504 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.504 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.504 * [backup-simplify]: Simplify (- 0) into 0 19.504 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.504 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.505 * [backup-simplify]: Simplify (+ 0) into 0 19.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.507 * [backup-simplify]: Simplify (- 0) into 0 19.507 * [backup-simplify]: Simplify (+ 0 0) into 0 19.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.507 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.507 * [taylor]: Taking taylor expansion of 1/2 in U 19.507 * [backup-simplify]: Simplify 1/2 into 1/2 19.507 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.507 * [taylor]: Taking taylor expansion of J in U 19.507 * [backup-simplify]: Simplify J into J 19.507 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.507 * [taylor]: Taking taylor expansion of U in U 19.507 * [backup-simplify]: Simplify 0 into 0 19.508 * [backup-simplify]: Simplify 1 into 1 19.508 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.508 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.508 * [taylor]: Taking taylor expansion of 1/2 in U 19.508 * [backup-simplify]: Simplify 1/2 into 1/2 19.508 * [taylor]: Taking taylor expansion of K in U 19.508 * [backup-simplify]: Simplify K into K 19.508 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.508 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.508 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.508 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.508 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.508 * [backup-simplify]: Simplify (- 0) into 0 19.508 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.508 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.509 * [backup-simplify]: Simplify (+ 0) into 0 19.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.511 * [backup-simplify]: Simplify (- 0) into 0 19.511 * [backup-simplify]: Simplify (+ 0 0) into 0 19.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.511 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.512 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.512 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.512 * [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))) 19.512 * [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))) 19.512 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.515 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.515 * [backup-simplify]: Simplify (- 0) into 0 19.516 * [backup-simplify]: Simplify (+ 0 0) into 0 19.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.517 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.520 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.521 * [backup-simplify]: Simplify (- 0) into 0 19.521 * [backup-simplify]: Simplify (+ 0 0) into 0 19.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.522 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.523 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.524 * [backup-simplify]: Simplify (+ 0 0) into 0 19.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 19.524 * [taylor]: Taking taylor expansion of 1/2 in J 19.524 * [backup-simplify]: Simplify 1/2 into 1/2 19.524 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 19.524 * [taylor]: Taking taylor expansion of J in J 19.524 * [backup-simplify]: Simplify 0 into 0 19.524 * [backup-simplify]: Simplify 1 into 1 19.524 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.524 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.524 * [taylor]: Taking taylor expansion of 1/2 in J 19.524 * [backup-simplify]: Simplify 1/2 into 1/2 19.524 * [taylor]: Taking taylor expansion of K in J 19.524 * [backup-simplify]: Simplify K into K 19.524 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.524 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.524 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.524 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.525 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.525 * [backup-simplify]: Simplify (- 0) into 0 19.525 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.525 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 19.525 * [taylor]: Taking taylor expansion of 0 in J 19.525 * [backup-simplify]: Simplify 0 into 0 19.525 * [taylor]: Taking taylor expansion of 0 in K 19.525 * [backup-simplify]: Simplify 0 into 0 19.525 * [backup-simplify]: Simplify 0 into 0 19.525 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 19.525 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 19.525 * [taylor]: Taking taylor expansion of 1/2 in K 19.525 * [backup-simplify]: Simplify 1/2 into 1/2 19.525 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.525 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.526 * [taylor]: Taking taylor expansion of 1/2 in K 19.526 * [backup-simplify]: Simplify 1/2 into 1/2 19.526 * [taylor]: Taking taylor expansion of K in K 19.526 * [backup-simplify]: Simplify 0 into 0 19.526 * [backup-simplify]: Simplify 1 into 1 19.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.526 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.526 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.526 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.527 * [backup-simplify]: Simplify (* 1 1) into 1 19.528 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.529 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.531 * [backup-simplify]: Simplify (- 0) into 0 19.531 * [backup-simplify]: Simplify (+ 0 0) into 0 19.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.533 * [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 19.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.538 * [backup-simplify]: Simplify (- 0) into 0 19.538 * [backup-simplify]: Simplify (+ 0 0) into 0 19.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.539 * [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 19.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.540 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 19.540 * [backup-simplify]: Simplify (+ 1 0) into 1 19.541 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 19.541 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 19.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.541 * [taylor]: Taking taylor expansion of 1/2 in J 19.541 * [backup-simplify]: Simplify 1/2 into 1/2 19.541 * [taylor]: Taking taylor expansion of K in J 19.541 * [backup-simplify]: Simplify K into K 19.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.541 * [taylor]: Taking taylor expansion of J in J 19.541 * [backup-simplify]: Simplify 0 into 0 19.541 * [backup-simplify]: Simplify 1 into 1 19.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.541 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.541 * [backup-simplify]: Simplify (- 0) into 0 19.541 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.541 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.542 * [backup-simplify]: Simplify (+ 0) into 0 19.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.543 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.543 * [backup-simplify]: Simplify (- 0) into 0 19.543 * [backup-simplify]: Simplify (+ 0 0) into 0 19.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 19.544 * [taylor]: Taking taylor expansion of 0 in K 19.544 * [backup-simplify]: Simplify 0 into 0 19.544 * [backup-simplify]: Simplify 0 into 0 19.544 * [taylor]: Taking taylor expansion of 0 in K 19.544 * [backup-simplify]: Simplify 0 into 0 19.544 * [backup-simplify]: Simplify 0 into 0 19.544 * [backup-simplify]: Simplify (+ 0) into 0 19.544 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.549 * [backup-simplify]: Simplify (- 0) into 0 19.549 * [backup-simplify]: Simplify (+ 0 0) into 0 19.549 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 19.550 * [taylor]: Taking taylor expansion of 0 in K 19.550 * [backup-simplify]: Simplify 0 into 0 19.550 * [backup-simplify]: Simplify 0 into 0 19.550 * [backup-simplify]: Simplify 0 into 0 19.550 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.550 * [backup-simplify]: Simplify 0 into 0 19.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.552 * [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 19.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.553 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.554 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.554 * [backup-simplify]: Simplify (- 0) into 0 19.554 * [backup-simplify]: Simplify (+ 0 0) into 0 19.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 19.555 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 19.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 19.557 * [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 19.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.558 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.559 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.560 * [backup-simplify]: Simplify (- 0) into 0 19.560 * [backup-simplify]: Simplify (+ 0 0) into 0 19.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 19.561 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 19.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 19.563 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 19.563 * [backup-simplify]: Simplify (+ 0 0) into 0 19.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.564 * [taylor]: Taking taylor expansion of 0 in J 19.564 * [backup-simplify]: Simplify 0 into 0 19.564 * [taylor]: Taking taylor expansion of 0 in K 19.564 * [backup-simplify]: Simplify 0 into 0 19.564 * [backup-simplify]: Simplify 0 into 0 19.564 * [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))) 19.564 * [backup-simplify]: Simplify (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 19.565 * [approximate]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in (U J K) around 0 19.565 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.565 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.565 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 19.565 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.565 * [taylor]: Taking taylor expansion of 1 in K 19.565 * [backup-simplify]: Simplify 1 into 1 19.565 * [taylor]: Taking taylor expansion of 1 in K 19.565 * [backup-simplify]: Simplify 1 into 1 19.565 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.565 * [taylor]: Taking taylor expansion of 1/2 in K 19.565 * [backup-simplify]: Simplify 1/2 into 1/2 19.565 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.565 * [taylor]: Taking taylor expansion of J in K 19.565 * [backup-simplify]: Simplify J into J 19.565 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.565 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.565 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.565 * [taylor]: Taking taylor expansion of -1/2 in K 19.565 * [backup-simplify]: Simplify -1/2 into -1/2 19.565 * [taylor]: Taking taylor expansion of K in K 19.565 * [backup-simplify]: Simplify 0 into 0 19.565 * [backup-simplify]: Simplify 1 into 1 19.566 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.566 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.566 * [taylor]: Taking taylor expansion of U in K 19.566 * [backup-simplify]: Simplify U into U 19.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.566 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.566 * [taylor]: Taking taylor expansion of 1/2 in K 19.566 * [backup-simplify]: Simplify 1/2 into 1/2 19.566 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.566 * [taylor]: Taking taylor expansion of J in K 19.566 * [backup-simplify]: Simplify J into J 19.566 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.566 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.566 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.566 * [taylor]: Taking taylor expansion of -1/2 in K 19.566 * [backup-simplify]: Simplify -1/2 into -1/2 19.566 * [taylor]: Taking taylor expansion of K in K 19.566 * [backup-simplify]: Simplify 0 into 0 19.566 * [backup-simplify]: Simplify 1 into 1 19.567 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.567 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.567 * [taylor]: Taking taylor expansion of U in K 19.567 * [backup-simplify]: Simplify U into U 19.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.567 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.568 * [backup-simplify]: Simplify (* 1 1) into 1 19.568 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.568 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.568 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 19.569 * [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))))) 19.569 * [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)))))) 19.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.571 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.571 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.572 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.573 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 19.573 * [backup-simplify]: Simplify (+ 0 0) into 0 19.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 19.574 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.574 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 19.574 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.574 * [taylor]: Taking taylor expansion of 1 in J 19.574 * [backup-simplify]: Simplify 1 into 1 19.574 * [taylor]: Taking taylor expansion of 1 in J 19.574 * [backup-simplify]: Simplify 1 into 1 19.574 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.574 * [taylor]: Taking taylor expansion of 1/2 in J 19.574 * [backup-simplify]: Simplify 1/2 into 1/2 19.574 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.574 * [taylor]: Taking taylor expansion of J in J 19.574 * [backup-simplify]: Simplify 0 into 0 19.574 * [backup-simplify]: Simplify 1 into 1 19.574 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.574 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.574 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.574 * [taylor]: Taking taylor expansion of -1/2 in J 19.574 * [backup-simplify]: Simplify -1/2 into -1/2 19.574 * [taylor]: Taking taylor expansion of K in J 19.574 * [backup-simplify]: Simplify K into K 19.574 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.574 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.575 * [taylor]: Taking taylor expansion of U in J 19.575 * [backup-simplify]: Simplify U into U 19.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.575 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.575 * [backup-simplify]: Simplify (- 0) into 0 19.575 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.576 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.576 * [taylor]: Taking taylor expansion of 1/2 in J 19.576 * [backup-simplify]: Simplify 1/2 into 1/2 19.576 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.576 * [taylor]: Taking taylor expansion of J in J 19.576 * [backup-simplify]: Simplify 0 into 0 19.576 * [backup-simplify]: Simplify 1 into 1 19.576 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.576 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.576 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.576 * [taylor]: Taking taylor expansion of -1/2 in J 19.576 * [backup-simplify]: Simplify -1/2 into -1/2 19.576 * [taylor]: Taking taylor expansion of K in J 19.576 * [backup-simplify]: Simplify K into K 19.576 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.576 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.576 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.576 * [taylor]: Taking taylor expansion of U in J 19.576 * [backup-simplify]: Simplify U into U 19.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.576 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.577 * [backup-simplify]: Simplify (- 0) into 0 19.577 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.577 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.578 * [backup-simplify]: Simplify (* 1 1) into 1 19.578 * [backup-simplify]: Simplify (+ 1 0) into 1 19.579 * [backup-simplify]: Simplify (sqrt 1) into 1 19.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.580 * [backup-simplify]: Simplify (+ 0 0) into 0 19.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.581 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.581 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.581 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.581 * [taylor]: Taking taylor expansion of 1 in U 19.581 * [backup-simplify]: Simplify 1 into 1 19.581 * [taylor]: Taking taylor expansion of 1 in U 19.581 * [backup-simplify]: Simplify 1 into 1 19.581 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.581 * [taylor]: Taking taylor expansion of 1/2 in U 19.581 * [backup-simplify]: Simplify 1/2 into 1/2 19.581 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.581 * [taylor]: Taking taylor expansion of J in U 19.581 * [backup-simplify]: Simplify J into J 19.581 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.581 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.581 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.581 * [taylor]: Taking taylor expansion of -1/2 in U 19.581 * [backup-simplify]: Simplify -1/2 into -1/2 19.581 * [taylor]: Taking taylor expansion of K in U 19.581 * [backup-simplify]: Simplify K into K 19.581 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.581 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.581 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.582 * [taylor]: Taking taylor expansion of U in U 19.582 * [backup-simplify]: Simplify 0 into 0 19.582 * [backup-simplify]: Simplify 1 into 1 19.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.582 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.582 * [backup-simplify]: Simplify (- 0) into 0 19.582 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.583 * [backup-simplify]: Simplify (+ 0) into 0 19.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.585 * [backup-simplify]: Simplify (- 0) into 0 19.587 * [backup-simplify]: Simplify (+ 0 0) into 0 19.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.587 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.587 * [taylor]: Taking taylor expansion of 1/2 in U 19.587 * [backup-simplify]: Simplify 1/2 into 1/2 19.587 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.587 * [taylor]: Taking taylor expansion of J in U 19.587 * [backup-simplify]: Simplify J into J 19.587 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.587 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.587 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.587 * [taylor]: Taking taylor expansion of -1/2 in U 19.588 * [backup-simplify]: Simplify -1/2 into -1/2 19.588 * [taylor]: Taking taylor expansion of K in U 19.588 * [backup-simplify]: Simplify K into K 19.588 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.588 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.588 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.588 * [taylor]: Taking taylor expansion of U in U 19.588 * [backup-simplify]: Simplify 0 into 0 19.588 * [backup-simplify]: Simplify 1 into 1 19.588 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.588 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.588 * [backup-simplify]: Simplify (- 0) into 0 19.589 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.589 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.589 * [backup-simplify]: Simplify (+ 0) into 0 19.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.592 * [backup-simplify]: Simplify (- 0) into 0 19.592 * [backup-simplify]: Simplify (+ 0 0) into 0 19.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.593 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.593 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.593 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.593 * [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))) 19.593 * [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))) 19.594 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.596 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.597 * [backup-simplify]: Simplify (- 0) into 0 19.598 * [backup-simplify]: Simplify (+ 0 0) into 0 19.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.599 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.602 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.603 * [backup-simplify]: Simplify (- 0) into 0 19.603 * [backup-simplify]: Simplify (+ 0 0) into 0 19.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.604 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.605 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.606 * [backup-simplify]: Simplify (+ 0 0) into 0 19.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.606 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.606 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.606 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.606 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.606 * [taylor]: Taking taylor expansion of 1 in U 19.606 * [backup-simplify]: Simplify 1 into 1 19.606 * [taylor]: Taking taylor expansion of 1 in U 19.606 * [backup-simplify]: Simplify 1 into 1 19.606 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.606 * [taylor]: Taking taylor expansion of 1/2 in U 19.606 * [backup-simplify]: Simplify 1/2 into 1/2 19.606 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.606 * [taylor]: Taking taylor expansion of J in U 19.606 * [backup-simplify]: Simplify J into J 19.606 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.607 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.607 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.607 * [taylor]: Taking taylor expansion of -1/2 in U 19.607 * [backup-simplify]: Simplify -1/2 into -1/2 19.607 * [taylor]: Taking taylor expansion of K in U 19.607 * [backup-simplify]: Simplify K into K 19.607 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.607 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.607 * [taylor]: Taking taylor expansion of U in U 19.607 * [backup-simplify]: Simplify 0 into 0 19.607 * [backup-simplify]: Simplify 1 into 1 19.607 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.607 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.608 * [backup-simplify]: Simplify (- 0) into 0 19.608 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.609 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.609 * [backup-simplify]: Simplify (+ 0) into 0 19.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.610 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.612 * [backup-simplify]: Simplify (- 0) into 0 19.612 * [backup-simplify]: Simplify (+ 0 0) into 0 19.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.613 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.613 * [taylor]: Taking taylor expansion of 1/2 in U 19.613 * [backup-simplify]: Simplify 1/2 into 1/2 19.613 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.613 * [taylor]: Taking taylor expansion of J in U 19.613 * [backup-simplify]: Simplify J into J 19.613 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.613 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.613 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.613 * [taylor]: Taking taylor expansion of -1/2 in U 19.613 * [backup-simplify]: Simplify -1/2 into -1/2 19.613 * [taylor]: Taking taylor expansion of K in U 19.613 * [backup-simplify]: Simplify K into K 19.613 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.613 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.613 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.613 * [taylor]: Taking taylor expansion of U in U 19.613 * [backup-simplify]: Simplify 0 into 0 19.613 * [backup-simplify]: Simplify 1 into 1 19.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.614 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.614 * [backup-simplify]: Simplify (- 0) into 0 19.614 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.614 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.614 * [backup-simplify]: Simplify (+ 0) into 0 19.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.617 * [backup-simplify]: Simplify (- 0) into 0 19.617 * [backup-simplify]: Simplify (+ 0 0) into 0 19.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.617 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.618 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.618 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.618 * [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))) 19.618 * [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))) 19.618 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.622 * [backup-simplify]: Simplify (- 0) into 0 19.622 * [backup-simplify]: Simplify (+ 0 0) into 0 19.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.623 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.625 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.626 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.627 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.627 * [backup-simplify]: Simplify (- 0) into 0 19.627 * [backup-simplify]: Simplify (+ 0 0) into 0 19.628 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.628 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.629 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.629 * [backup-simplify]: Simplify (+ 0 0) into 0 19.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 19.630 * [taylor]: Taking taylor expansion of 1/2 in J 19.630 * [backup-simplify]: Simplify 1/2 into 1/2 19.630 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 19.630 * [taylor]: Taking taylor expansion of J in J 19.630 * [backup-simplify]: Simplify 0 into 0 19.630 * [backup-simplify]: Simplify 1 into 1 19.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.630 * [taylor]: Taking taylor expansion of -1/2 in J 19.630 * [backup-simplify]: Simplify -1/2 into -1/2 19.630 * [taylor]: Taking taylor expansion of K in J 19.630 * [backup-simplify]: Simplify K into K 19.630 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.631 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.631 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.631 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.631 * [backup-simplify]: Simplify (- 0) into 0 19.631 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.631 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 19.631 * [taylor]: Taking taylor expansion of 0 in J 19.631 * [backup-simplify]: Simplify 0 into 0 19.631 * [taylor]: Taking taylor expansion of 0 in K 19.632 * [backup-simplify]: Simplify 0 into 0 19.632 * [backup-simplify]: Simplify 0 into 0 19.632 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 19.632 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 19.632 * [taylor]: Taking taylor expansion of 1/2 in K 19.632 * [backup-simplify]: Simplify 1/2 into 1/2 19.632 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.632 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.632 * [taylor]: Taking taylor expansion of -1/2 in K 19.632 * [backup-simplify]: Simplify -1/2 into -1/2 19.632 * [taylor]: Taking taylor expansion of K in K 19.632 * [backup-simplify]: Simplify 0 into 0 19.632 * [backup-simplify]: Simplify 1 into 1 19.632 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.632 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.632 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.633 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.633 * [backup-simplify]: Simplify (* 1 1) into 1 19.634 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.637 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.638 * [backup-simplify]: Simplify (- 0) into 0 19.638 * [backup-simplify]: Simplify (+ 0 0) into 0 19.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.639 * [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 19.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.641 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.644 * [backup-simplify]: Simplify (- 0) into 0 19.645 * [backup-simplify]: Simplify (+ 0 0) into 0 19.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.646 * [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 19.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.647 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 19.648 * [backup-simplify]: Simplify (+ 1 0) into 1 19.649 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 19.649 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 19.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.649 * [taylor]: Taking taylor expansion of -1/2 in J 19.649 * [backup-simplify]: Simplify -1/2 into -1/2 19.649 * [taylor]: Taking taylor expansion of K in J 19.649 * [backup-simplify]: Simplify K into K 19.649 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.649 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.649 * [taylor]: Taking taylor expansion of J in J 19.649 * [backup-simplify]: Simplify 0 into 0 19.649 * [backup-simplify]: Simplify 1 into 1 19.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.650 * [backup-simplify]: Simplify (- 0) into 0 19.650 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.650 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.650 * [backup-simplify]: Simplify (+ 0) into 0 19.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.651 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.652 * [backup-simplify]: Simplify (- 0) into 0 19.653 * [backup-simplify]: Simplify (+ 0 0) into 0 19.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 19.654 * [taylor]: Taking taylor expansion of 0 in K 19.654 * [backup-simplify]: Simplify 0 into 0 19.654 * [backup-simplify]: Simplify 0 into 0 19.654 * [taylor]: Taking taylor expansion of 0 in K 19.654 * [backup-simplify]: Simplify 0 into 0 19.654 * [backup-simplify]: Simplify 0 into 0 19.654 * [backup-simplify]: Simplify (+ 0) into 0 19.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.655 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.656 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.656 * [backup-simplify]: Simplify (- 0) into 0 19.657 * [backup-simplify]: Simplify (+ 0 0) into 0 19.657 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 19.658 * [taylor]: Taking taylor expansion of 0 in K 19.658 * [backup-simplify]: Simplify 0 into 0 19.658 * [backup-simplify]: Simplify 0 into 0 19.658 * [backup-simplify]: Simplify 0 into 0 19.658 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.658 * [backup-simplify]: Simplify 0 into 0 19.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.661 * [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 19.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.662 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.664 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.665 * [backup-simplify]: Simplify (- 0) into 0 19.665 * [backup-simplify]: Simplify (+ 0 0) into 0 19.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.667 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 19.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.670 * [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 19.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.672 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.673 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.674 * [backup-simplify]: Simplify (- 0) into 0 19.674 * [backup-simplify]: Simplify (+ 0 0) into 0 19.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.676 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 19.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.678 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 19.679 * [backup-simplify]: Simplify (+ 0 0) into 0 19.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.679 * [taylor]: Taking taylor expansion of 0 in J 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [taylor]: Taking taylor expansion of 0 in K 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [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))) 19.679 * * * [progress]: simplifying candidates 19.679 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 19.680 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 19.680 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 19.680 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 19.680 * * [simplify]: iters left: 6 (15 enodes) 19.688 * * [simplify]: iters left: 5 (59 enodes) 19.712 * * [simplify]: iters left: 4 (97 enodes) 19.744 * * [simplify]: iters left: 3 (148 enodes) 19.784 * * [simplify]: iters left: 2 (169 enodes) 19.828 * * [simplify]: Extracting #0: cost 1 inf + 0 19.829 * * [simplify]: Extracting #1: cost 16 inf + 0 19.829 * * [simplify]: Extracting #2: cost 28 inf + 44 19.829 * * [simplify]: Extracting #3: cost 37 inf + 87 19.829 * * [simplify]: Extracting #4: cost 43 inf + 90 19.830 * * [simplify]: Extracting #5: cost 34 inf + 1179 19.833 * * [simplify]: Extracting #6: cost 5 inf + 7798 19.838 * * [simplify]: Extracting #7: cost 0 inf + 9302 19.842 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 19.843 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 19.844 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 19.844 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 19.844 * * [simplify]: iters left: 6 (15 enodes) 19.855 * * [simplify]: iters left: 5 (59 enodes) 19.874 * * [simplify]: iters left: 4 (97 enodes) 19.905 * * [simplify]: iters left: 3 (148 enodes) 19.945 * * [simplify]: iters left: 2 (169 enodes) 19.991 * * [simplify]: Extracting #0: cost 1 inf + 0 19.991 * * [simplify]: Extracting #1: cost 16 inf + 0 19.991 * * [simplify]: Extracting #2: cost 28 inf + 44 19.991 * * [simplify]: Extracting #3: cost 37 inf + 87 19.992 * * [simplify]: Extracting #4: cost 43 inf + 90 19.994 * * [simplify]: Extracting #5: cost 34 inf + 1179 19.998 * * [simplify]: Extracting #6: cost 5 inf + 7798 20.002 * * [simplify]: Extracting #7: cost 0 inf + 9302 20.007 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 20.007 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 20.007 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 20.008 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 20.008 * * [simplify]: iters left: 6 (15 enodes) 20.016 * * [simplify]: iters left: 5 (59 enodes) 20.035 * * [simplify]: iters left: 4 (97 enodes) 20.067 * * [simplify]: iters left: 3 (148 enodes) 20.108 * * [simplify]: iters left: 2 (169 enodes) 20.153 * * [simplify]: Extracting #0: cost 1 inf + 0 20.153 * * [simplify]: Extracting #1: cost 16 inf + 0 20.154 * * [simplify]: Extracting #2: cost 28 inf + 44 20.154 * * [simplify]: Extracting #3: cost 37 inf + 87 20.154 * * [simplify]: Extracting #4: cost 43 inf + 90 20.155 * * [simplify]: Extracting #5: cost 34 inf + 1179 20.158 * * [simplify]: Extracting #6: cost 5 inf + 7798 20.162 * * [simplify]: Extracting #7: cost 0 inf + 9302 20.167 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 20.167 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 20.167 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 20.168 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 20.168 * * [simplify]: iters left: 6 (15 enodes) 20.176 * * [simplify]: iters left: 5 (59 enodes) 20.197 * * [simplify]: iters left: 4 (97 enodes) 20.218 * * [simplify]: iters left: 3 (148 enodes) 20.239 * * [simplify]: iters left: 2 (169 enodes) 20.284 * * [simplify]: Extracting #0: cost 1 inf + 0 20.285 * * [simplify]: Extracting #1: cost 16 inf + 0 20.285 * * [simplify]: Extracting #2: cost 28 inf + 44 20.285 * * [simplify]: Extracting #3: cost 37 inf + 87 20.285 * * [simplify]: Extracting #4: cost 43 inf + 90 20.285 * * [simplify]: Extracting #5: cost 34 inf + 1179 20.287 * * [simplify]: Extracting #6: cost 5 inf + 7798 20.289 * * [simplify]: Extracting #7: cost 0 inf + 9302 20.291 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 20.291 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 20.292 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 20.292 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 20.292 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 20.292 * * [simplify]: iters left: 6 (19 enodes) 20.297 * * [simplify]: iters left: 5 (71 enodes) 20.309 * * [simplify]: iters left: 4 (110 enodes) 20.338 * * [simplify]: iters left: 3 (165 enodes) 20.368 * * [simplify]: iters left: 2 (194 enodes) 20.392 * * [simplify]: Extracting #0: cost 1 inf + 0 20.392 * * [simplify]: Extracting #1: cost 16 inf + 0 20.392 * * [simplify]: Extracting #2: cost 34 inf + 0 20.392 * * [simplify]: Extracting #3: cost 34 inf + 215 20.392 * * [simplify]: Extracting #4: cost 41 inf + 651 20.392 * * [simplify]: Extracting #5: cost 44 inf + 982 20.393 * * [simplify]: Extracting #6: cost 29 inf + 4046 20.396 * * [simplify]: Extracting #7: cost 6 inf + 11301 20.401 * * [simplify]: Extracting #8: cost 1 inf + 14155 20.407 * * [simplify]: Extracting #9: cost 0 inf + 14836 20.413 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)) 20.413 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)))) 20.413 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 20.414 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (log (* -2 J))) 20.414 * * [simplify]: iters left: 6 (18 enodes) 20.422 * * [simplify]: iters left: 5 (69 enodes) 20.434 * * [simplify]: iters left: 4 (104 enodes) 20.454 * * [simplify]: iters left: 3 (156 enodes) 20.487 * * [simplify]: iters left: 2 (190 enodes) 20.533 * * [simplify]: Extracting #0: cost 1 inf + 0 20.533 * * [simplify]: Extracting #1: cost 16 inf + 0 20.533 * * [simplify]: Extracting #2: cost 35 inf + 0 20.534 * * [simplify]: Extracting #3: cost 32 inf + 552 20.534 * * [simplify]: Extracting #4: cost 41 inf + 595 20.535 * * [simplify]: Extracting #5: cost 44 inf + 926 20.536 * * [simplify]: Extracting #6: cost 30 inf + 3767 20.540 * * [simplify]: Extracting #7: cost 7 inf + 11016 20.545 * * [simplify]: Extracting #8: cost 1 inf + 13859 20.548 * * [simplify]: Extracting #9: cost 0 inf + 14360 20.551 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))) 20.551 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))))) 20.551 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 20.551 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (+ (log -2) (log J))) 20.551 * * [simplify]: iters left: 6 (18 enodes) 20.556 * * [simplify]: iters left: 5 (69 enodes) 20.571 * * [simplify]: iters left: 4 (104 enodes) 20.588 * * [simplify]: iters left: 3 (156 enodes) 20.635 * * [simplify]: iters left: 2 (190 enodes) 20.680 * * [simplify]: Extracting #0: cost 1 inf + 0 20.680 * * [simplify]: Extracting #1: cost 16 inf + 0 20.680 * * [simplify]: Extracting #2: cost 35 inf + 0 20.681 * * [simplify]: Extracting #3: cost 38 inf + 73 20.681 * * [simplify]: Extracting #4: cost 43 inf + 651 20.681 * * [simplify]: Extracting #5: cost 46 inf + 982 20.683 * * [simplify]: Extracting #6: cost 29 inf + 4390 20.689 * * [simplify]: Extracting #7: cost 7 inf + 11744 20.694 * * [simplify]: Extracting #8: cost 0 inf + 14916 20.700 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 20.700 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))) 20.700 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 20.701 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (log (* -2 J))) 20.701 * * [simplify]: iters left: 6 (17 enodes) 20.710 * * [simplify]: iters left: 5 (67 enodes) 20.732 * * [simplify]: iters left: 4 (101 enodes) 20.762 * * [simplify]: iters left: 3 (149 enodes) 20.788 * * [simplify]: iters left: 2 (184 enodes) 20.827 * * [simplify]: iters left: 1 (189 enodes) 20.873 * * [simplify]: Extracting #0: cost 1 inf + 0 20.873 * * [simplify]: Extracting #1: cost 16 inf + 0 20.874 * * [simplify]: Extracting #2: cost 36 inf + 0 20.874 * * [simplify]: Extracting #3: cost 36 inf + 369 20.874 * * [simplify]: Extracting #4: cost 43 inf + 595 20.875 * * [simplify]: Extracting #5: cost 47 inf + 844 20.876 * * [simplify]: Extracting #6: cost 29 inf + 4264 20.879 * * [simplify]: Extracting #7: cost 10 inf + 9815 20.883 * * [simplify]: Extracting #8: cost 0 inf + 14440 20.886 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 20.886 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))) 20.886 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 20.886 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 20.886 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 20.886 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 20.886 * * [simplify]: iters left: 6 (23 enodes) 20.893 * * [simplify]: iters left: 5 (96 enodes) 20.912 * * [simplify]: iters left: 4 (226 enodes) 20.974 * * [simplify]: Extracting #0: cost 1 inf + 0 20.974 * * [simplify]: Extracting #1: cost 59 inf + 0 20.975 * * [simplify]: Extracting #2: cost 264 inf + 452 20.977 * * [simplify]: Extracting #3: cost 261 inf + 2097 20.987 * * [simplify]: Extracting #4: cost 179 inf + 28052 21.005 * * [simplify]: Extracting #5: cost 16 inf + 92312 21.048 * * [simplify]: Extracting #6: cost 0 inf + 97231 21.094 * * [simplify]: Extracting #7: cost 0 inf + 96951 21.119 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 21.119 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))) 21.120 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 21.120 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 21.120 * * [simplify]: iters left: 6 (21 enodes) 21.129 * * [simplify]: iters left: 5 (94 enodes) 21.153 * * [simplify]: iters left: 4 (226 enodes) 21.267 * * [simplify]: Extracting #0: cost 1 inf + 0 21.267 * * [simplify]: Extracting #1: cost 56 inf + 0 21.269 * * [simplify]: Extracting #2: cost 226 inf + 168 21.271 * * [simplify]: Extracting #3: cost 220 inf + 2184 21.274 * * [simplify]: Extracting #4: cost 220 inf + 2477 21.279 * * [simplify]: Extracting #5: cost 179 inf + 10402 21.294 * * [simplify]: Extracting #6: cost 96 inf + 40336 21.315 * * [simplify]: Extracting #7: cost 16 inf + 78408 21.348 * * [simplify]: Extracting #8: cost 0 inf + 86304 21.394 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)) 21.394 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)))) 21.394 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 21.395 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 21.395 * * [simplify]: iters left: 6 (21 enodes) 21.409 * * [simplify]: iters left: 5 (95 enodes) 21.437 * * [simplify]: iters left: 4 (237 enodes) 21.519 * * [simplify]: Extracting #0: cost 1 inf + 0 21.519 * * [simplify]: Extracting #1: cost 52 inf + 0 21.520 * * [simplify]: Extracting #2: cost 228 inf + 87 21.521 * * [simplify]: Extracting #3: cost 240 inf + 788 21.525 * * [simplify]: Extracting #4: cost 181 inf + 20237 21.545 * * [simplify]: Extracting #5: cost 29 inf + 81640 21.582 * * [simplify]: Extracting #6: cost 0 inf + 94822 21.605 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 21.605 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))) 21.605 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 21.606 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 21.606 * * [simplify]: iters left: 6 (19 enodes) 21.612 * * [simplify]: iters left: 5 (92 enodes) 21.630 * * [simplify]: iters left: 4 (233 enodes) 21.723 * * [simplify]: Extracting #0: cost 1 inf + 0 21.723 * * [simplify]: Extracting #1: cost 55 inf + 0 21.724 * * [simplify]: Extracting #2: cost 241 inf + 128 21.726 * * [simplify]: Extracting #3: cost 234 inf + 1974 21.730 * * [simplify]: Extracting #4: cost 180 inf + 20443 21.750 * * [simplify]: Extracting #5: cost 20 inf + 86900 21.780 * * [simplify]: Extracting #6: cost 0 inf + 95958 21.809 * * [simplify]: Extracting #7: cost 0 inf + 95918 21.843 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))) 21.843 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))))) 21.844 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 21.844 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 21.844 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 21.844 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 21.844 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 21.844 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 21.844 * [simplify]: Simplifying (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 21.844 * * [simplify]: iters left: 6 (11 enodes) 21.850 * * [simplify]: iters left: 5 (40 enodes) 21.859 * * [simplify]: iters left: 4 (56 enodes) 21.867 * * [simplify]: iters left: 3 (74 enodes) 21.878 * * [simplify]: iters left: 2 (81 enodes) 21.889 * * [simplify]: Extracting #0: cost 1 inf + 0 21.889 * * [simplify]: Extracting #1: cost 4 inf + 0 21.889 * * [simplify]: Extracting #2: cost 14 inf + 1 21.889 * * [simplify]: Extracting #3: cost 22 inf + 46 21.889 * * [simplify]: Extracting #4: cost 24 inf + 255 21.889 * * [simplify]: Extracting #5: cost 20 inf + 423 21.890 * * [simplify]: Extracting #6: cost 8 inf + 2096 21.891 * * [simplify]: Extracting #7: cost 0 inf + 3675 21.893 * [simplify]: Simplified to (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 21.893 * [simplify]: Simplified (2 1) to (λ (J K U) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))) 21.893 * * * * [progress]: [ 24 / 118 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))> 21.893 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 21.893 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 21.893 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 21.893 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 21.893 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 21.894 * [simplify]: Simplifying (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 21.894 * * [simplify]: iters left: 6 (13 enodes) 21.900 * * [simplify]: iters left: 5 (48 enodes) 21.916 * * [simplify]: iters left: 4 (82 enodes) 21.948 * * [simplify]: iters left: 3 (160 enodes) 21.989 * * [simplify]: iters left: 2 (268 enodes) 22.043 * * [simplify]: iters left: 1 (362 enodes) 22.157 * * [simplify]: Extracting #0: cost 1 inf + 0 22.157 * * [simplify]: Extracting #1: cost 45 inf + 0 22.158 * * [simplify]: Extracting #2: cost 89 inf + 0 22.158 * * [simplify]: Extracting #3: cost 84 inf + 327 22.160 * * [simplify]: Extracting #4: cost 57 inf + 5952 22.163 * * [simplify]: Extracting #5: cost 48 inf + 7450 22.168 * * [simplify]: Extracting #6: cost 17 inf + 18264 22.177 * * [simplify]: Extracting #7: cost 2 inf + 23964 22.188 * * [simplify]: Extracting #8: cost 0 inf + 24791 22.198 * [simplify]: Simplified to (- (- (log U) (log (cos (/ K 2)))) (+ (log 2) (log J))) 22.198 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log U) (log (cos (/ K 2)))) (+ (log 2) (log J))))) (cos (/ K 2))) (* -2 J))) 22.198 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 22.198 * [simplify]: Simplifying (- (- (log U) (log J)) (log (* (cos (/ K 2)) 2))) 22.199 * * [simplify]: iters left: 6 (12 enodes) 22.205 * * [simplify]: iters left: 5 (46 enodes) 22.220 * * [simplify]: iters left: 4 (75 enodes) 22.234 * * [simplify]: iters left: 3 (130 enodes) 22.257 * * [simplify]: iters left: 2 (226 enodes) 22.321 * * [simplify]: iters left: 1 (331 enodes) 22.424 * * [simplify]: Extracting #0: cost 1 inf + 0 22.425 * * [simplify]: Extracting #1: cost 42 inf + 0 22.425 * * [simplify]: Extracting #2: cost 81 inf + 0 22.426 * * [simplify]: Extracting #3: cost 77 inf + 327 22.427 * * [simplify]: Extracting #4: cost 63 inf + 3346 22.430 * * [simplify]: Extracting #5: cost 45 inf + 6803 22.435 * * [simplify]: Extracting #6: cost 38 inf + 7928 22.440 * * [simplify]: Extracting #7: cost 19 inf + 13572 22.448 * * [simplify]: Extracting #8: cost 0 inf + 20242 22.456 * [simplify]: Simplified to (- (- (log U) (log J)) (log (* 2 (cos (/ K 2))))) 22.456 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log U) (log J)) (log (* 2 (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 22.456 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 22.456 * [simplify]: Simplifying (- (log (/ U J)) (+ (log (cos (/ K 2))) (log 2))) 22.457 * * [simplify]: iters left: 6 (12 enodes) 22.463 * * [simplify]: iters left: 5 (44 enodes) 22.471 * * [simplify]: iters left: 4 (69 enodes) 22.483 * * [simplify]: iters left: 3 (130 enodes) 22.507 * * [simplify]: iters left: 2 (240 enodes) 22.558 * * [simplify]: iters left: 1 (333 enodes) 22.623 * * [simplify]: Extracting #0: cost 1 inf + 0 22.624 * * [simplify]: Extracting #1: cost 52 inf + 0 22.624 * * [simplify]: Extracting #2: cost 97 inf + 0 22.624 * * [simplify]: Extracting #3: cost 92 inf + 492 22.625 * * [simplify]: Extracting #4: cost 68 inf + 4656 22.627 * * [simplify]: Extracting #5: cost 51 inf + 7692 22.630 * * [simplify]: Extracting #6: cost 16 inf + 19469 22.634 * * [simplify]: Extracting #7: cost 0 inf + 25017 22.641 * * [simplify]: Extracting #8: cost 0 inf + 24937 22.646 * [simplify]: Simplified to (- (- (log (/ U J)) (log 2)) (log (cos (/ K 2)))) 22.646 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log (/ U J)) (log 2)) (log (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))) 22.646 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 22.646 * [simplify]: Simplifying (- (log (/ U J)) (log (* (cos (/ K 2)) 2))) 22.646 * * [simplify]: iters left: 6 (11 enodes) 22.650 * * [simplify]: iters left: 5 (42 enodes) 22.656 * * [simplify]: iters left: 4 (65 enodes) 22.667 * * [simplify]: iters left: 3 (110 enodes) 22.686 * * [simplify]: iters left: 2 (196 enodes) 22.732 * * [simplify]: iters left: 1 (285 enodes) 22.819 * * [simplify]: Extracting #0: cost 1 inf + 0 22.819 * * [simplify]: Extracting #1: cost 43 inf + 0 22.819 * * [simplify]: Extracting #2: cost 87 inf + 0 22.820 * * [simplify]: Extracting #3: cost 88 inf + 3 22.821 * * [simplify]: Extracting #4: cost 74 inf + 1932 22.823 * * [simplify]: Extracting #5: cost 50 inf + 5836 22.828 * * [simplify]: Extracting #6: cost 12 inf + 16380 22.832 * * [simplify]: Extracting #7: cost 0 inf + 20273 22.836 * [simplify]: Simplified to (- (log (/ U J)) (log (* (cos (/ K 2)) 2))) 22.836 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (log (/ U J)) (log (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 22.836 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 22.836 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 22.836 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 22.836 * [simplify]: Simplifying (/ (/ (* (* U U) U) (* (* J J) J)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 22.837 * * [simplify]: iters left: 6 (17 enodes) 22.842 * * [simplify]: iters left: 5 (73 enodes) 22.857 * * [simplify]: iters left: 4 (206 enodes) 22.957 * * [simplify]: Extracting #0: cost 1 inf + 0 22.957 * * [simplify]: Extracting #1: cost 161 inf + 0 22.960 * * [simplify]: Extracting #2: cost 356 inf + 818 22.965 * * [simplify]: Extracting #3: cost 301 inf + 8548 22.978 * * [simplify]: Extracting #4: cost 156 inf + 41372 23.000 * * [simplify]: Extracting #5: cost 8 inf + 84180 23.019 * * [simplify]: Extracting #6: cost 0 inf + 86132 23.043 * [simplify]: Simplified to (/ (* (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) (/ (/ U J) (cos (/ K 2)))) 8) 23.043 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (* (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) (/ (/ U J) (cos (/ K 2)))) 8))) (cos (/ K 2))) (* -2 J))) 23.043 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 23.044 * [simplify]: Simplifying (/ (/ (* (* U U) U) (* (* J J) J)) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 23.044 * * [simplify]: iters left: 6 (15 enodes) 23.049 * * [simplify]: iters left: 5 (70 enodes) 23.063 * * [simplify]: iters left: 4 (209 enodes) 23.207 * * [simplify]: Extracting #0: cost 1 inf + 0 23.208 * * [simplify]: Extracting #1: cost 149 inf + 0 23.209 * * [simplify]: Extracting #2: cost 351 inf + 898 23.211 * * [simplify]: Extracting #3: cost 327 inf + 5704 23.220 * * [simplify]: Extracting #4: cost 136 inf + 52738 23.243 * * [simplify]: Extracting #5: cost 4 inf + 90642 23.271 * * [simplify]: Extracting #6: cost 0 inf + 91302 23.296 * * [simplify]: Extracting #7: cost 0 inf + 91263 23.319 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 23.319 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))) 23.319 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 23.319 * [simplify]: Simplifying (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 23.319 * * [simplify]: iters left: 6 (15 enodes) 23.325 * * [simplify]: iters left: 5 (68 enodes) 23.338 * * [simplify]: iters left: 4 (195 enodes) 23.452 * * [simplify]: Extracting #0: cost 1 inf + 0 23.453 * * [simplify]: Extracting #1: cost 117 inf + 0 23.454 * * [simplify]: Extracting #2: cost 247 inf + 905 23.462 * * [simplify]: Extracting #3: cost 215 inf + 5471 23.468 * * [simplify]: Extracting #4: cost 148 inf + 23257 23.487 * * [simplify]: Extracting #5: cost 38 inf + 53641 23.512 * * [simplify]: Extracting #6: cost 0 inf + 59494 23.526 * * [simplify]: Extracting #7: cost 0 inf + 58970 23.543 * [simplify]: Simplified to (/ (/ (/ U J) (cos (/ K 2))) (/ 8 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))))) 23.543 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (/ (/ U J) (cos (/ K 2))) (/ 8 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))))))) (cos (/ K 2))) (* -2 J))) 23.543 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 23.544 * [simplify]: Simplifying (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 23.544 * * [simplify]: iters left: 6 (13 enodes) 23.552 * * [simplify]: iters left: 5 (65 enodes) 23.579 * * [simplify]: iters left: 4 (210 enodes) 23.713 * * [simplify]: Extracting #0: cost 1 inf + 0 23.713 * * [simplify]: Extracting #1: cost 116 inf + 0 23.715 * * [simplify]: Extracting #2: cost 291 inf + 373 23.718 * * [simplify]: Extracting #3: cost 268 inf + 4039 23.720 * * [simplify]: Extracting #4: cost 241 inf + 7119 23.724 * * [simplify]: Extracting #5: cost 177 inf + 22842 23.739 * * [simplify]: Extracting #6: cost 16 inf + 68957 23.771 * * [simplify]: Extracting #7: cost 0 inf + 73585 23.812 * * [simplify]: Extracting #8: cost 0 inf + 73545 23.850 * [simplify]: Simplified to (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) 23.850 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cos (/ K 2))) (* -2 J))) 23.850 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 23.850 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 23.850 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 23.850 * * * * [progress]: [ 42 / 118 ] simplifiying candidate # 23.850 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 23.851 * [simplify]: Simplifying (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) 23.851 * * [simplify]: iters left: 6 (10 enodes) 23.857 * * [simplify]: iters left: 5 (32 enodes) 23.866 * * [simplify]: iters left: 4 (36 enodes) 23.871 * * [simplify]: iters left: 3 (39 enodes) 23.877 * * [simplify]: Extracting #0: cost 1 inf + 0 23.877 * * [simplify]: Extracting #1: cost 7 inf + 0 23.877 * * [simplify]: Extracting #2: cost 14 inf + 0 23.877 * * [simplify]: Extracting #3: cost 20 inf + 0 23.877 * * [simplify]: Extracting #4: cost 14 inf + 88 23.877 * * [simplify]: Extracting #5: cost 8 inf + 762 23.878 * * [simplify]: Extracting #6: cost 1 inf + 2344 23.878 * * [simplify]: Extracting #7: cost 0 inf + 2608 23.878 * [simplify]: Simplified to (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) 23.878 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) (/ (cbrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 23.878 * [simplify]: Simplifying (/ (cbrt (/ U J)) 2) 23.879 * * [simplify]: iters left: 5 (6 enodes) 23.880 * * [simplify]: iters left: 4 (18 enodes) 23.883 * * [simplify]: Extracting #0: cost 1 inf + 0 23.883 * * [simplify]: Extracting #1: cost 4 inf + 0 23.883 * * [simplify]: Extracting #2: cost 5 inf + 1 23.883 * * [simplify]: Extracting #3: cost 8 inf + 1 23.883 * * [simplify]: Extracting #4: cost 6 inf + 3 23.883 * * [simplify]: Extracting #5: cost 0 inf + 657 23.883 * [simplify]: Simplified to (/ (cbrt (/ U J)) 2) 23.883 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) (/ (cbrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 23.883 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 23.883 * [simplify]: Simplifying (/ (sqrt (/ U J)) (cos (/ K 2))) 23.883 * * [simplify]: iters left: 5 (9 enodes) 23.886 * * [simplify]: iters left: 4 (27 enodes) 23.889 * * [simplify]: Extracting #0: cost 1 inf + 0 23.889 * * [simplify]: Extracting #1: cost 4 inf + 0 23.889 * * [simplify]: Extracting #2: cost 8 inf + 0 23.889 * * [simplify]: Extracting #3: cost 14 inf + 0 23.890 * * [simplify]: Extracting #4: cost 10 inf + 4 23.890 * * [simplify]: Extracting #5: cost 4 inf + 396 23.890 * * [simplify]: Extracting #6: cost 1 inf + 764 23.890 * * [simplify]: Extracting #7: cost 0 inf + 988 23.890 * [simplify]: Simplified to (/ (sqrt (/ U J)) (cos (/ K 2))) 23.890 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt (/ U J)) (cos (/ K 2))) (/ (sqrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 23.890 * [simplify]: Simplifying (/ (sqrt (/ U J)) 2) 23.890 * * [simplify]: iters left: 5 (6 enodes) 23.892 * * [simplify]: iters left: 4 (18 enodes) 23.896 * * [simplify]: Extracting #0: cost 1 inf + 0 23.896 * * [simplify]: Extracting #1: cost 4 inf + 0 23.896 * * [simplify]: Extracting #2: cost 5 inf + 1 23.896 * * [simplify]: Extracting #3: cost 8 inf + 1 23.896 * * [simplify]: Extracting #4: cost 6 inf + 3 23.896 * * [simplify]: Extracting #5: cost 0 inf + 497 23.896 * [simplify]: Simplified to (/ (sqrt (/ U J)) 2) 23.896 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt (/ U J)) (cos (/ K 2))) (/ (sqrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 23.896 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 23.897 * [simplify]: Simplifying (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt J) (cbrt J))) (cos (/ K 2))) 23.897 * * [simplify]: iters left: 6 (12 enodes) 23.903 * * [simplify]: iters left: 5 (44 enodes) 23.913 * * [simplify]: iters left: 4 (75 enodes) 23.926 * * [simplify]: iters left: 3 (120 enodes) 23.954 * * [simplify]: iters left: 2 (166 enodes) 23.986 * * [simplify]: iters left: 1 (180 enodes) 24.025 * * [simplify]: Extracting #0: cost 1 inf + 0 24.025 * * [simplify]: Extracting #1: cost 23 inf + 0 24.025 * * [simplify]: Extracting #2: cost 47 inf + 0 24.026 * * [simplify]: Extracting #3: cost 44 inf + 406 24.026 * * [simplify]: Extracting #4: cost 29 inf + 2670 24.029 * * [simplify]: Extracting #5: cost 9 inf + 7749 24.033 * * [simplify]: Extracting #6: cost 0 inf + 10682 24.036 * [simplify]: Simplified to (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (cos (/ K 2))) 24.037 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (cos (/ K 2))) (/ (/ (cbrt U) (cbrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.037 * [simplify]: Simplifying (/ (/ (cbrt U) (cbrt J)) 2) 24.037 * * [simplify]: iters left: 5 (7 enodes) 24.041 * * [simplify]: iters left: 4 (23 enodes) 24.047 * * [simplify]: iters left: 3 (28 enodes) 24.055 * * [simplify]: iters left: 2 (30 enodes) 24.063 * * [simplify]: Extracting #0: cost 1 inf + 0 24.063 * * [simplify]: Extracting #1: cost 8 inf + 0 24.063 * * [simplify]: Extracting #2: cost 14 inf + 1 24.063 * * [simplify]: Extracting #3: cost 9 inf + 287 24.064 * * [simplify]: Extracting #4: cost 6 inf + 571 24.064 * * [simplify]: Extracting #5: cost 1 inf + 1462 24.064 * * [simplify]: Extracting #6: cost 0 inf + 1705 24.065 * [simplify]: Simplified to (/ (cbrt U) (* (cbrt J) 2)) 24.065 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (cos (/ K 2))) (/ (cbrt U) (* (cbrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.065 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 24.065 * [simplify]: Simplifying (/ (/ (* (cbrt U) (cbrt U)) (sqrt J)) (cos (/ K 2))) 24.065 * * [simplify]: iters left: 6 (11 enodes) 24.071 * * [simplify]: iters left: 5 (37 enodes) 24.082 * * [simplify]: iters left: 4 (52 enodes) 24.099 * * [simplify]: iters left: 3 (74 enodes) 24.120 * * [simplify]: iters left: 2 (85 enodes) 24.144 * * [simplify]: iters left: 1 (86 enodes) 24.169 * * [simplify]: Extracting #0: cost 1 inf + 0 24.169 * * [simplify]: Extracting #1: cost 15 inf + 0 24.169 * * [simplify]: Extracting #2: cost 31 inf + 0 24.170 * * [simplify]: Extracting #3: cost 29 inf + 165 24.170 * * [simplify]: Extracting #4: cost 15 inf + 1770 24.172 * * [simplify]: Extracting #5: cost 2 inf + 4991 24.173 * * [simplify]: Extracting #6: cost 0 inf + 5518 24.175 * [simplify]: Simplified to (/ (/ (cbrt U) (sqrt J)) (/ (cos (/ K 2)) (cbrt U))) 24.175 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (cbrt U) (sqrt J)) (/ (cos (/ K 2)) (cbrt U))) (/ (/ (cbrt U) (sqrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.176 * [simplify]: Simplifying (/ (/ (cbrt U) (sqrt J)) 2) 24.176 * * [simplify]: iters left: 5 (7 enodes) 24.179 * * [simplify]: iters left: 4 (23 enodes) 24.187 * * [simplify]: iters left: 3 (28 enodes) 24.194 * * [simplify]: iters left: 2 (30 enodes) 24.203 * * [simplify]: Extracting #0: cost 1 inf + 0 24.203 * * [simplify]: Extracting #1: cost 8 inf + 0 24.203 * * [simplify]: Extracting #2: cost 14 inf + 1 24.203 * * [simplify]: Extracting #3: cost 9 inf + 167 24.203 * * [simplify]: Extracting #4: cost 6 inf + 411 24.203 * * [simplify]: Extracting #5: cost 1 inf + 1182 24.204 * * [simplify]: Extracting #6: cost 0 inf + 1385 24.204 * [simplify]: Simplified to (/ (cbrt U) (* (sqrt J) 2)) 24.204 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (cbrt U) (sqrt J)) (/ (cos (/ K 2)) (cbrt U))) (/ (cbrt U) (* (sqrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.204 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 24.205 * [simplify]: Simplifying (/ (/ (* (cbrt U) (cbrt U)) 1) (cos (/ K 2))) 24.205 * * [simplify]: iters left: 6 (10 enodes) 24.211 * * [simplify]: iters left: 5 (34 enodes) 24.223 * * [simplify]: iters left: 4 (52 enodes) 24.239 * * [simplify]: iters left: 3 (67 enodes) 24.257 * * [simplify]: iters left: 2 (80 enodes) 24.280 * * [simplify]: Extracting #0: cost 1 inf + 0 24.280 * * [simplify]: Extracting #1: cost 9 inf + 0 24.281 * * [simplify]: Extracting #2: cost 16 inf + 1 24.281 * * [simplify]: Extracting #3: cost 18 inf + 2 24.281 * * [simplify]: Extracting #4: cost 13 inf + 169 24.281 * * [simplify]: Extracting #5: cost 4 inf + 1567 24.282 * * [simplify]: Extracting #6: cost 0 inf + 2358 24.283 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) 24.283 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (/ (cbrt U) J) 2))) (cos (/ K 2))) (* -2 J))) 24.283 * [simplify]: Simplifying (/ (/ (cbrt U) J) 2) 24.283 * * [simplify]: iters left: 5 (6 enodes) 24.287 * * [simplify]: iters left: 4 (20 enodes) 24.293 * * [simplify]: iters left: 3 (25 enodes) 24.300 * * [simplify]: iters left: 2 (27 enodes) 24.304 * * [simplify]: Extracting #0: cost 1 inf + 0 24.304 * * [simplify]: Extracting #1: cost 8 inf + 0 24.304 * * [simplify]: Extracting #2: cost 10 inf + 44 24.304 * * [simplify]: Extracting #3: cost 8 inf + 87 24.304 * * [simplify]: Extracting #4: cost 4 inf + 575 24.305 * * [simplify]: Extracting #5: cost 0 inf + 1063 24.305 * [simplify]: Simplified to (/ (/ (cbrt U) 2) J) 24.305 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (/ (cbrt U) 2) J))) (cos (/ K 2))) (* -2 J))) 24.305 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 24.305 * [simplify]: Simplifying (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.305 * * [simplify]: iters left: 6 (11 enodes) 24.308 * * [simplify]: iters left: 5 (37 enodes) 24.313 * * [simplify]: iters left: 4 (47 enodes) 24.320 * * [simplify]: iters left: 3 (59 enodes) 24.329 * * [simplify]: iters left: 2 (61 enodes) 24.344 * * [simplify]: Extracting #0: cost 1 inf + 0 24.344 * * [simplify]: Extracting #1: cost 12 inf + 0 24.344 * * [simplify]: Extracting #2: cost 25 inf + 0 24.345 * * [simplify]: Extracting #3: cost 21 inf + 568 24.345 * * [simplify]: Extracting #4: cost 10 inf + 1667 24.346 * * [simplify]: Extracting #5: cost 1 inf + 3957 24.347 * * [simplify]: Extracting #6: cost 0 inf + 4140 24.349 * [simplify]: Simplified to (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.349 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.349 * [simplify]: Simplifying (/ (/ (sqrt U) (cbrt J)) 2) 24.349 * * [simplify]: iters left: 5 (7 enodes) 24.353 * * [simplify]: iters left: 4 (23 enodes) 24.359 * * [simplify]: iters left: 3 (28 enodes) 24.363 * * [simplify]: iters left: 2 (30 enodes) 24.368 * * [simplify]: Extracting #0: cost 1 inf + 0 24.368 * * [simplify]: Extracting #1: cost 8 inf + 0 24.369 * * [simplify]: Extracting #2: cost 14 inf + 1 24.369 * * [simplify]: Extracting #3: cost 9 inf + 287 24.369 * * [simplify]: Extracting #4: cost 6 inf + 491 24.369 * * [simplify]: Extracting #5: cost 1 inf + 1182 24.369 * * [simplify]: Extracting #6: cost 0 inf + 1385 24.369 * [simplify]: Simplified to (/ (sqrt U) (* (cbrt J) 2)) 24.369 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (sqrt U) (* (cbrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.370 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 24.370 * [simplify]: Simplifying (/ (/ (sqrt U) (sqrt J)) (cos (/ K 2))) 24.370 * * [simplify]: iters left: 5 (10 enodes) 24.372 * * [simplify]: iters left: 4 (32 enodes) 24.377 * * [simplify]: iters left: 3 (37 enodes) 24.384 * * [simplify]: iters left: 2 (39 enodes) 24.389 * * [simplify]: Extracting #0: cost 1 inf + 0 24.389 * * [simplify]: Extracting #1: cost 8 inf + 0 24.389 * * [simplify]: Extracting #2: cost 17 inf + 0 24.390 * * [simplify]: Extracting #3: cost 17 inf + 43 24.390 * * [simplify]: Extracting #4: cost 13 inf + 127 24.390 * * [simplify]: Extracting #5: cost 8 inf + 496 24.390 * * [simplify]: Extracting #6: cost 3 inf + 1411 24.391 * * [simplify]: Extracting #7: cost 0 inf + 1960 24.392 * [simplify]: Simplified to (/ (sqrt U) (* (cos (/ K 2)) (sqrt J))) 24.392 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) (* (cos (/ K 2)) (sqrt J))) (/ (/ (sqrt U) (sqrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.392 * [simplify]: Simplifying (/ (/ (sqrt U) (sqrt J)) 2) 24.392 * * [simplify]: iters left: 5 (7 enodes) 24.398 * * [simplify]: iters left: 4 (23 enodes) 24.406 * * [simplify]: iters left: 3 (28 enodes) 24.414 * * [simplify]: iters left: 2 (30 enodes) 24.422 * * [simplify]: Extracting #0: cost 1 inf + 0 24.422 * * [simplify]: Extracting #1: cost 8 inf + 0 24.423 * * [simplify]: Extracting #2: cost 14 inf + 1 24.423 * * [simplify]: Extracting #3: cost 9 inf + 167 24.423 * * [simplify]: Extracting #4: cost 6 inf + 331 24.423 * * [simplify]: Extracting #5: cost 1 inf + 902 24.424 * * [simplify]: Extracting #6: cost 0 inf + 1065 24.424 * [simplify]: Simplified to (/ (sqrt U) (* (sqrt J) 2)) 24.424 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (sqrt U) (sqrt J)) (cos (/ K 2))) (/ (sqrt U) (* (sqrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.424 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 24.425 * [simplify]: Simplifying (/ (/ (sqrt U) 1) (cos (/ K 2))) 24.425 * * [simplify]: iters left: 5 (9 enodes) 24.429 * * [simplify]: iters left: 4 (29 enodes) 24.438 * * [simplify]: iters left: 3 (33 enodes) 24.445 * * [simplify]: iters left: 2 (36 enodes) 24.450 * * [simplify]: Extracting #0: cost 1 inf + 0 24.450 * * [simplify]: Extracting #1: cost 5 inf + 0 24.450 * * [simplify]: Extracting #2: cost 8 inf + 1 24.450 * * [simplify]: Extracting #3: cost 10 inf + 2 24.450 * * [simplify]: Extracting #4: cost 0 inf + 740 24.450 * [simplify]: Simplified to (/ (sqrt U) (cos (/ K 2))) 24.450 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) (cos (/ K 2))) (/ (/ (sqrt U) J) 2))) (cos (/ K 2))) (* -2 J))) 24.450 * [simplify]: Simplifying (/ (/ (sqrt U) J) 2) 24.450 * * [simplify]: iters left: 5 (6 enodes) 24.452 * * [simplify]: iters left: 4 (20 enodes) 24.455 * * [simplify]: iters left: 3 (25 enodes) 24.458 * * [simplify]: iters left: 2 (27 enodes) 24.463 * * [simplify]: Extracting #0: cost 1 inf + 0 24.463 * * [simplify]: Extracting #1: cost 8 inf + 0 24.463 * * [simplify]: Extracting #2: cost 10 inf + 44 24.463 * * [simplify]: Extracting #3: cost 8 inf + 87 24.463 * * [simplify]: Extracting #4: cost 4 inf + 415 24.464 * * [simplify]: Extracting #5: cost 0 inf + 743 24.464 * [simplify]: Simplified to (/ (/ (sqrt U) 2) J) 24.464 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) (cos (/ K 2))) (/ (/ (sqrt U) 2) J))) (cos (/ K 2))) (* -2 J))) 24.464 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 24.464 * [simplify]: Simplifying (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.464 * * [simplify]: iters left: 6 (10 enodes) 24.470 * * [simplify]: iters left: 5 (36 enodes) 24.482 * * [simplify]: iters left: 4 (48 enodes) 24.496 * * [simplify]: iters left: 3 (60 enodes) 24.514 * * [simplify]: iters left: 2 (62 enodes) 24.532 * * [simplify]: Extracting #0: cost 1 inf + 0 24.532 * * [simplify]: Extracting #1: cost 12 inf + 0 24.532 * * [simplify]: Extracting #2: cost 22 inf + 1 24.532 * * [simplify]: Extracting #3: cost 24 inf + 2 24.532 * * [simplify]: Extracting #4: cost 16 inf + 692 24.533 * * [simplify]: Extracting #5: cost 8 inf + 2034 24.537 * * [simplify]: Extracting #6: cost 0 inf + 3658 24.538 * [simplify]: Simplified to (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.538 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (/ U (cbrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.539 * [simplify]: Simplifying (/ (/ U (cbrt J)) 2) 24.539 * * [simplify]: iters left: 5 (6 enodes) 24.542 * * [simplify]: iters left: 4 (20 enodes) 24.549 * * [simplify]: iters left: 3 (25 enodes) 24.556 * * [simplify]: iters left: 2 (27 enodes) 24.563 * * [simplify]: Extracting #0: cost 1 inf + 0 24.564 * * [simplify]: Extracting #1: cost 8 inf + 0 24.564 * * [simplify]: Extracting #2: cost 11 inf + 2 24.564 * * [simplify]: Extracting #3: cost 9 inf + 45 24.564 * * [simplify]: Extracting #4: cost 2 inf + 778 24.564 * * [simplify]: Extracting #5: cost 0 inf + 1063 24.565 * [simplify]: Simplified to (/ (/ U 2) (cbrt J)) 24.565 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (/ U 2) (cbrt J)))) (cos (/ K 2))) (* -2 J))) 24.565 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 24.565 * [simplify]: Simplifying (/ (/ 1 (sqrt J)) (cos (/ K 2))) 24.565 * * [simplify]: iters left: 5 (9 enodes) 24.570 * * [simplify]: iters left: 4 (31 enodes) 24.580 * * [simplify]: iters left: 3 (38 enodes) 24.591 * * [simplify]: iters left: 2 (40 enodes) 24.603 * * [simplify]: Extracting #0: cost 1 inf + 0 24.603 * * [simplify]: Extracting #1: cost 8 inf + 0 24.603 * * [simplify]: Extracting #2: cost 14 inf + 1 24.603 * * [simplify]: Extracting #3: cost 16 inf + 2 24.603 * * [simplify]: Extracting #4: cost 11 inf + 168 24.604 * * [simplify]: Extracting #5: cost 6 inf + 619 24.604 * * [simplify]: Extracting #6: cost 1 inf + 1495 24.605 * * [simplify]: Extracting #7: cost 0 inf + 1638 24.605 * [simplify]: Simplified to (/ 1 (* (cos (/ K 2)) (sqrt J))) 24.605 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (* (cos (/ K 2)) (sqrt J))) (/ (/ U (sqrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.606 * [simplify]: Simplifying (/ (/ U (sqrt J)) 2) 24.606 * * [simplify]: iters left: 5 (6 enodes) 24.609 * * [simplify]: iters left: 4 (20 enodes) 24.615 * * [simplify]: iters left: 3 (25 enodes) 24.623 * * [simplify]: iters left: 2 (27 enodes) 24.631 * * [simplify]: Extracting #0: cost 1 inf + 0 24.631 * * [simplify]: Extracting #1: cost 8 inf + 0 24.631 * * [simplify]: Extracting #2: cost 11 inf + 2 24.631 * * [simplify]: Extracting #3: cost 9 inf + 45 24.631 * * [simplify]: Extracting #4: cost 2 inf + 538 24.631 * * [simplify]: Extracting #5: cost 0 inf + 743 24.632 * [simplify]: Simplified to (/ (/ U 2) (sqrt J)) 24.632 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ 1 (sqrt J)) (cos (/ K 2))) (/ (/ U 2) (sqrt J)))) (cos (/ K 2))) (* -2 J))) 24.632 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 24.632 * [simplify]: Simplifying (/ (/ 1 1) (cos (/ K 2))) 24.632 * * [simplify]: iters left: 5 (7 enodes) 24.636 * * [simplify]: iters left: 4 (21 enodes) 24.643 * * [simplify]: iters left: 3 (23 enodes) 24.648 * * [simplify]: Extracting #0: cost 1 inf + 0 24.648 * * [simplify]: Extracting #1: cost 4 inf + 0 24.648 * * [simplify]: Extracting #2: cost 5 inf + 1 24.648 * * [simplify]: Extracting #3: cost 8 inf + 1 24.648 * * [simplify]: Extracting #4: cost 1 inf + 434 24.648 * * [simplify]: Extracting #5: cost 0 inf + 577 24.648 * [simplify]: Simplified to (/ 1 (cos (/ K 2))) 24.648 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.648 * [simplify]: Simplifying (/ (/ U J) 2) 24.648 * * [simplify]: iters left: 4 (5 enodes) 24.650 * * [simplify]: iters left: 3 (17 enodes) 24.652 * * [simplify]: iters left: 2 (22 enodes) 24.656 * * [simplify]: iters left: 1 (24 enodes) 24.659 * * [simplify]: Extracting #0: cost 1 inf + 0 24.659 * * [simplify]: Extracting #1: cost 8 inf + 0 24.659 * * [simplify]: Extracting #2: cost 7 inf + 45 24.659 * * [simplify]: Extracting #3: cost 0 inf + 421 24.659 * [simplify]: Simplified to (/ (/ U J) 2) 24.659 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.659 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 24.660 * [simplify]: Simplifying (/ 1 (cos (/ K 2))) 24.660 * * [simplify]: iters left: 5 (6 enodes) 24.662 * * [simplify]: iters left: 4 (20 enodes) 24.665 * * [simplify]: iters left: 3 (22 enodes) 24.668 * * [simplify]: Extracting #0: cost 1 inf + 0 24.669 * * [simplify]: Extracting #1: cost 4 inf + 0 24.669 * * [simplify]: Extracting #2: cost 5 inf + 1 24.669 * * [simplify]: Extracting #3: cost 8 inf + 1 24.669 * * [simplify]: Extracting #4: cost 6 inf + 3 24.669 * * [simplify]: Extracting #5: cost 1 inf + 434 24.669 * * [simplify]: Extracting #6: cost 0 inf + 577 24.669 * [simplify]: Simplified to (/ 1 (cos (/ K 2))) 24.669 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.669 * [simplify]: Simplifying (/ (/ U J) 2) 24.669 * * [simplify]: iters left: 4 (5 enodes) 24.671 * * [simplify]: iters left: 3 (17 enodes) 24.675 * * [simplify]: iters left: 2 (22 enodes) 24.678 * * [simplify]: iters left: 1 (24 enodes) 24.681 * * [simplify]: Extracting #0: cost 1 inf + 0 24.681 * * [simplify]: Extracting #1: cost 8 inf + 0 24.681 * * [simplify]: Extracting #2: cost 7 inf + 45 24.682 * * [simplify]: Extracting #3: cost 0 inf + 421 24.682 * [simplify]: Simplified to (/ (/ U J) 2) 24.682 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.682 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 24.682 * [simplify]: Simplifying (/ U (cos (/ K 2))) 24.682 * * [simplify]: iters left: 5 (6 enodes) 24.684 * * [simplify]: iters left: 4 (18 enodes) 24.687 * * [simplify]: Extracting #0: cost 1 inf + 0 24.687 * * [simplify]: Extracting #1: cost 4 inf + 0 24.687 * * [simplify]: Extracting #2: cost 5 inf + 1 24.687 * * [simplify]: Extracting #3: cost 8 inf + 1 24.687 * * [simplify]: Extracting #4: cost 0 inf + 577 24.687 * [simplify]: Simplified to (/ U (cos (/ K 2))) 24.687 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ U (cos (/ K 2))) (/ (/ 1 J) 2))) (cos (/ K 2))) (* -2 J))) 24.687 * [simplify]: Simplifying (/ (/ 1 J) 2) 24.687 * * [simplify]: iters left: 4 (5 enodes) 24.689 * * [simplify]: iters left: 3 (19 enodes) 24.693 * * [simplify]: iters left: 2 (27 enodes) 24.701 * * [simplify]: iters left: 1 (29 enodes) 24.709 * * [simplify]: Extracting #0: cost 1 inf + 0 24.709 * * [simplify]: Extracting #1: cost 8 inf + 0 24.710 * * [simplify]: Extracting #2: cost 5 inf + 46 24.710 * * [simplify]: Extracting #3: cost 0 inf + 256 24.710 * [simplify]: Simplified to (/ 1/2 J) 24.710 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ U (cos (/ K 2))) (/ 1/2 J))) (cos (/ K 2))) (* -2 J))) 24.710 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 24.710 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 24.710 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 24.710 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 24.710 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 24.711 * [simplify]: Simplifying (* (cbrt (/ U J)) (cbrt (/ U J))) 24.711 * * [simplify]: iters left: 5 (5 enodes) 24.713 * * [simplify]: iters left: 4 (15 enodes) 24.717 * * [simplify]: Extracting #0: cost 1 inf + 0 24.717 * * [simplify]: Extracting #1: cost 3 inf + 0 24.717 * * [simplify]: Extracting #2: cost 5 inf + 0 24.717 * * [simplify]: Extracting #3: cost 8 inf + 0 24.717 * * [simplify]: Extracting #4: cost 6 inf + 2 24.717 * * [simplify]: Extracting #5: cost 0 inf + 654 24.718 * [simplify]: Simplified to (* (cbrt (/ U J)) (cbrt (/ U J))) 24.718 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (/ (* (cos (/ K 2)) 2) (cbrt (/ U J))))) (cos (/ K 2))) (* -2 J))) 24.718 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 24.718 * [simplify]: Simplifying (sqrt (/ U J)) 24.718 * * [simplify]: iters left: 3 (4 enodes) 24.720 * * [simplify]: iters left: 2 (12 enodes) 24.723 * * [simplify]: Extracting #0: cost 1 inf + 0 24.723 * * [simplify]: Extracting #1: cost 3 inf + 0 24.723 * * [simplify]: Extracting #2: cost 6 inf + 0 24.723 * * [simplify]: Extracting #3: cost 4 inf + 2 24.723 * * [simplify]: Extracting #4: cost 0 inf + 250 24.723 * [simplify]: Simplified to (sqrt (/ U J)) 24.723 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (sqrt (/ U J)) (/ (* (cos (/ K 2)) 2) (sqrt (/ U J))))) (cos (/ K 2))) (* -2 J))) 24.724 * * * * [progress]: [ 62 / 118 ] simplifiying candidate # 24.724 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) (* (cbrt J) (cbrt J))) 24.724 * * [simplify]: iters left: 5 (7 enodes) 24.726 * * [simplify]: iters left: 4 (27 enodes) 24.730 * * [simplify]: iters left: 3 (42 enodes) 24.736 * * [simplify]: iters left: 2 (49 enodes) 24.743 * * [simplify]: iters left: 1 (52 enodes) 24.749 * * [simplify]: Extracting #0: cost 1 inf + 0 24.749 * * [simplify]: Extracting #1: cost 11 inf + 0 24.749 * * [simplify]: Extracting #2: cost 22 inf + 0 24.749 * * [simplify]: Extracting #3: cost 18 inf + 164 24.749 * * [simplify]: Extracting #4: cost 9 inf + 1617 24.750 * * [simplify]: Extracting #5: cost 0 inf + 3554 24.750 * [simplify]: Simplified to (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) 24.750 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (/ (* (cos (/ K 2)) 2) (/ (cbrt U) (cbrt J))))) (cos (/ K 2))) (* -2 J))) 24.751 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 24.751 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) (sqrt J)) 24.751 * * [simplify]: iters left: 5 (6 enodes) 24.752 * * [simplify]: iters left: 4 (20 enodes) 24.757 * * [simplify]: iters left: 3 (24 enodes) 24.764 * * [simplify]: iters left: 2 (27 enodes) 24.771 * * [simplify]: Extracting #0: cost 1 inf + 0 24.771 * * [simplify]: Extracting #1: cost 7 inf + 0 24.772 * * [simplify]: Extracting #2: cost 14 inf + 0 24.772 * * [simplify]: Extracting #3: cost 12 inf + 2 24.772 * * [simplify]: Extracting #4: cost 6 inf + 691 24.772 * * [simplify]: Extracting #5: cost 0 inf + 1540 24.773 * [simplify]: Simplified to (* (cbrt U) (/ (cbrt U) (sqrt J))) 24.773 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt U) (/ (cbrt U) (sqrt J))) (/ (* (cos (/ K 2)) 2) (/ (cbrt U) (sqrt J))))) (cos (/ K 2))) (* -2 J))) 24.773 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 24.773 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 1) 24.773 * * [simplify]: iters left: 5 (5 enodes) 24.776 * * [simplify]: iters left: 4 (17 enodes) 24.785 * * [simplify]: iters left: 3 (27 enodes) 24.793 * * [simplify]: iters left: 2 (28 enodes) 24.800 * * [simplify]: Extracting #0: cost 1 inf + 0 24.800 * * [simplify]: Extracting #1: cost 5 inf + 0 24.800 * * [simplify]: Extracting #2: cost 7 inf + 1 24.800 * * [simplify]: Extracting #3: cost 6 inf + 2 24.800 * * [simplify]: Extracting #4: cost 1 inf + 528 24.800 * * [simplify]: Extracting #5: cost 0 inf + 650 24.801 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 24.801 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* (cos (/ K 2)) 2) (/ (cbrt U) J)))) (cos (/ K 2))) (* -2 J))) 24.801 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 24.801 * [simplify]: Simplifying (/ (sqrt U) (* (cbrt J) (cbrt J))) 24.801 * * [simplify]: iters left: 5 (6 enodes) 24.804 * * [simplify]: iters left: 4 (20 enodes) 24.809 * * [simplify]: iters left: 3 (22 enodes) 24.815 * * [simplify]: Extracting #0: cost 1 inf + 0 24.816 * * [simplify]: Extracting #1: cost 6 inf + 0 24.816 * * [simplify]: Extracting #2: cost 12 inf + 0 24.816 * * [simplify]: Extracting #3: cost 10 inf + 2 24.816 * * [simplify]: Extracting #4: cost 0 inf + 1216 24.816 * [simplify]: Simplified to (/ (sqrt U) (* (cbrt J) (cbrt J))) 24.816 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (/ (* (cos (/ K 2)) 2) (/ (sqrt U) (cbrt J))))) (cos (/ K 2))) (* -2 J))) 24.816 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 24.817 * [simplify]: Simplifying (/ (sqrt U) (sqrt J)) 24.817 * * [simplify]: iters left: 3 (5 enodes) 24.819 * * [simplify]: iters left: 2 (15 enodes) 24.823 * * [simplify]: Extracting #0: cost 1 inf + 0 24.823 * * [simplify]: Extracting #1: cost 4 inf + 0 24.823 * * [simplify]: Extracting #2: cost 8 inf + 0 24.823 * * [simplify]: Extracting #3: cost 4 inf + 84 24.824 * * [simplify]: Extracting #4: cost 0 inf + 410 24.824 * [simplify]: Simplified to (/ (sqrt U) (sqrt J)) 24.824 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ (sqrt U) (sqrt J)) (/ (* (cos (/ K 2)) 2) (/ (sqrt U) (sqrt J))))) (cos (/ K 2))) (* -2 J))) 24.824 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 24.824 * [simplify]: Simplifying (/ (sqrt U) 1) 24.824 * * [simplify]: iters left: 3 (4 enodes) 24.827 * * [simplify]: iters left: 2 (12 enodes) 24.831 * * [simplify]: iters left: 1 (14 enodes) 24.835 * * [simplify]: Extracting #0: cost 1 inf + 0 24.835 * * [simplify]: Extracting #1: cost 4 inf + 0 24.836 * * [simplify]: Extracting #2: cost 0 inf + 84 24.836 * [simplify]: Simplified to (sqrt U) 24.836 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (sqrt U) (/ (* (cos (/ K 2)) 2) (/ (sqrt U) J)))) (cos (/ K 2))) (* -2 J))) 24.836 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 24.836 * [simplify]: Simplifying (/ 1 (* (cbrt J) (cbrt J))) 24.836 * * [simplify]: iters left: 5 (5 enodes) 24.839 * * [simplify]: iters left: 4 (19 enodes) 24.845 * * [simplify]: iters left: 3 (23 enodes) 24.852 * * [simplify]: Extracting #0: cost 1 inf + 0 24.852 * * [simplify]: Extracting #1: cost 6 inf + 0 24.852 * * [simplify]: Extracting #2: cost 9 inf + 1 24.852 * * [simplify]: Extracting #3: cost 1 inf + 852 24.853 * * [simplify]: Extracting #4: cost 0 inf + 974 24.853 * [simplify]: Simplified to (/ 1 (* (cbrt J) (cbrt J))) 24.853 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ 1 (* (cbrt J) (cbrt J))) (/ (* (cos (/ K 2)) 2) (/ U (cbrt J))))) (cos (/ K 2))) (* -2 J))) 24.853 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 24.853 * [simplify]: Simplifying (/ 1 (sqrt J)) 24.854 * * [simplify]: iters left: 3 (4 enodes) 24.856 * * [simplify]: iters left: 2 (14 enodes) 24.861 * * [simplify]: iters left: 1 (16 enodes) 24.866 * * [simplify]: Extracting #0: cost 1 inf + 0 24.866 * * [simplify]: Extracting #1: cost 4 inf + 0 24.866 * * [simplify]: Extracting #2: cost 5 inf + 1 24.866 * * [simplify]: Extracting #3: cost 3 inf + 43 24.866 * * [simplify]: Extracting #4: cost 1 inf + 166 24.866 * * [simplify]: Extracting #5: cost 0 inf + 248 24.866 * [simplify]: Simplified to (/ 1 (sqrt J)) 24.866 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ 1 (sqrt J)) (/ (* (cos (/ K 2)) 2) (/ U (sqrt J))))) (cos (/ K 2))) (* -2 J))) 24.867 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 24.867 * [simplify]: Simplifying (/ 1 1) 24.867 * * [simplify]: iters left: 2 (2 enodes) 24.869 * * [simplify]: iters left: 1 (6 enodes) 24.871 * * [simplify]: Extracting #0: cost 1 inf + 0 24.871 * * [simplify]: Extracting #1: cost 0 inf + 1 24.871 * [simplify]: Simplified to 1 24.871 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ 1 (/ (* (cos (/ K 2)) 2) (/ U J)))) (cos (/ K 2))) (* -2 J))) 24.871 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 24.871 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 24.871 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 24.871 * * * * [progress]: [ 74 / 118 ] simplifiying candidate #real (real->posit16 (/ (/ U J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J)))> 24.871 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 24.871 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 24.872 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 24.872 * [simplify]: Simplifying (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) 24.872 * * [simplify]: iters left: 6 (12 enodes) 24.876 * * [simplify]: iters left: 5 (44 enodes) 24.883 * * [simplify]: iters left: 4 (60 enodes) 24.893 * * [simplify]: iters left: 3 (78 enodes) 24.905 * * [simplify]: iters left: 2 (85 enodes) 24.932 * * [simplify]: Extracting #0: cost 1 inf + 0 24.932 * * [simplify]: Extracting #1: cost 4 inf + 0 24.932 * * [simplify]: Extracting #2: cost 9 inf + 0 24.932 * * [simplify]: Extracting #3: cost 20 inf + 1 24.932 * * [simplify]: Extracting #4: cost 25 inf + 47 24.933 * * [simplify]: Extracting #5: cost 14 inf + 1704 24.934 * * [simplify]: Extracting #6: cost 2 inf + 3851 24.936 * * [simplify]: Extracting #7: cost 0 inf + 4315 24.937 * [simplify]: Simplified to (* (cos (/ K 2)) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) 24.938 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (cos (/ K 2)) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) 1) (* -2 J))) 24.938 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 24.938 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 24.938 * [simplify]: Simplifying (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) 24.938 * * [simplify]: iters left: 6 (14 enodes) 24.945 * * [simplify]: iters left: 5 (50 enodes) 24.955 * * [simplify]: iters left: 4 (66 enodes) 24.965 * * [simplify]: iters left: 3 (84 enodes) 24.976 * * [simplify]: iters left: 2 (91 enodes) 24.995 * * [simplify]: Extracting #0: cost 1 inf + 0 24.995 * * [simplify]: Extracting #1: cost 4 inf + 0 24.995 * * [simplify]: Extracting #2: cost 8 inf + 0 24.995 * * [simplify]: Extracting #3: cost 13 inf + 0 24.995 * * [simplify]: Extracting #4: cost 24 inf + 1 24.995 * * [simplify]: Extracting #5: cost 30 inf + 5 24.996 * * [simplify]: Extracting #6: cost 21 inf + 1266 24.998 * * [simplify]: Extracting #7: cost 2 inf + 4996 24.999 * * [simplify]: Extracting #8: cost 0 inf + 5639 25.001 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) 25.001 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 J))) 25.001 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 25.002 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 25.002 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 25.002 * [simplify]: Simplifying (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) 25.002 * * [simplify]: iters left: 6 (16 enodes) 25.010 * * [simplify]: iters left: 5 (62 enodes) 25.031 * * [simplify]: iters left: 4 (107 enodes) 25.061 * * [simplify]: iters left: 3 (179 enodes) 25.092 * * [simplify]: iters left: 2 (260 enodes) 25.167 * * [simplify]: iters left: 1 (417 enodes) 25.283 * * [simplify]: Extracting #0: cost 1 inf + 0 25.283 * * [simplify]: Extracting #1: cost 50 inf + 0 25.283 * * [simplify]: Extracting #2: cost 152 inf + 1 25.284 * * [simplify]: Extracting #3: cost 170 inf + 4 25.285 * * [simplify]: Extracting #4: cost 173 inf + 176 25.287 * * [simplify]: Extracting #5: cost 127 inf + 17875 25.299 * * [simplify]: Extracting #6: cost 23 inf + 81473 25.316 * * [simplify]: Extracting #7: cost 0 inf + 97973 25.344 * [simplify]: Simplified to (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) 25.344 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))) (* -2 J))) 25.344 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 25.344 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 25.345 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 25.345 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 25.345 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 25.345 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.345 * * [simplify]: iters left: 6 (14 enodes) 25.351 * * [simplify]: iters left: 5 (50 enodes) 25.367 * * [simplify]: iters left: 4 (66 enodes) 25.389 * * [simplify]: iters left: 3 (84 enodes) 25.412 * * [simplify]: iters left: 2 (91 enodes) 25.437 * * [simplify]: Extracting #0: cost 1 inf + 0 25.437 * * [simplify]: Extracting #1: cost 4 inf + 0 25.437 * * [simplify]: Extracting #2: cost 8 inf + 0 25.437 * * [simplify]: Extracting #3: cost 13 inf + 0 25.437 * * [simplify]: Extracting #4: cost 24 inf + 1 25.437 * * [simplify]: Extracting #5: cost 30 inf + 5 25.438 * * [simplify]: Extracting #6: cost 21 inf + 1236 25.439 * * [simplify]: Extracting #7: cost 2 inf + 4816 25.441 * * [simplify]: Extracting #8: cost 0 inf + 5399 25.442 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.442 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2))))) (* -2 J))) 25.442 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.442 * * [simplify]: iters left: 6 (14 enodes) 25.446 * * [simplify]: iters left: 5 (50 enodes) 25.454 * * [simplify]: iters left: 4 (66 enodes) 25.463 * * [simplify]: iters left: 3 (84 enodes) 25.475 * * [simplify]: iters left: 2 (91 enodes) 25.488 * * [simplify]: Extracting #0: cost 1 inf + 0 25.488 * * [simplify]: Extracting #1: cost 4 inf + 0 25.488 * * [simplify]: Extracting #2: cost 8 inf + 0 25.488 * * [simplify]: Extracting #3: cost 13 inf + 0 25.488 * * [simplify]: Extracting #4: cost 24 inf + 1 25.488 * * [simplify]: Extracting #5: cost 30 inf + 5 25.488 * * [simplify]: Extracting #6: cost 21 inf + 1236 25.490 * * [simplify]: Extracting #7: cost 2 inf + 4816 25.492 * * [simplify]: Extracting #8: cost 0 inf + 5399 25.496 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.496 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2))))) (* -2 J))) 25.496 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 25.496 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 25.497 * * [simplify]: iters left: 4 (5 enodes) 25.499 * * [simplify]: iters left: 3 (15 enodes) 25.504 * * [simplify]: Extracting #0: cost 1 inf + 0 25.504 * * [simplify]: Extracting #1: cost 3 inf + 0 25.504 * * [simplify]: Extracting #2: cost 5 inf + 0 25.504 * * [simplify]: Extracting #3: cost 8 inf + 0 25.504 * * [simplify]: Extracting #4: cost 6 inf + 2 25.505 * * [simplify]: Extracting #5: cost 0 inf + 654 25.505 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 25.505 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* -2 J))) 25.505 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 25.505 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 25.505 * * [simplify]: iters left: 4 (5 enodes) 25.508 * * [simplify]: iters left: 3 (15 enodes) 25.513 * * [simplify]: Extracting #0: cost 1 inf + 0 25.513 * * [simplify]: Extracting #1: cost 3 inf + 0 25.513 * * [simplify]: Extracting #2: cost 5 inf + 0 25.513 * * [simplify]: Extracting #3: cost 8 inf + 0 25.513 * * [simplify]: Extracting #4: cost 6 inf + 2 25.513 * * [simplify]: Extracting #5: cost 0 inf + 574 25.513 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 25.513 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* -2 J))) 25.513 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 25.514 * [simplify]: Simplifying (cos (/ K 2)) 25.514 * * [simplify]: iters left: 3 (4 enodes) 25.516 * * [simplify]: iters left: 2 (12 enodes) 25.520 * * [simplify]: Extracting #0: cost 1 inf + 0 25.520 * * [simplify]: Extracting #1: cost 3 inf + 0 25.520 * * [simplify]: Extracting #2: cost 6 inf + 0 25.520 * * [simplify]: Extracting #3: cost 4 inf + 2 25.520 * * [simplify]: Extracting #4: cost 0 inf + 290 25.520 * [simplify]: Simplified to (cos (/ K 2)) 25.520 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 1) (cos (/ K 2))) (* -2 J))) 25.521 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 25.521 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) 25.521 * * [simplify]: iters left: 6 (13 enodes) 25.528 * * [simplify]: iters left: 5 (46 enodes) 25.542 * * [simplify]: iters left: 4 (62 enodes) 25.560 * * [simplify]: iters left: 3 (80 enodes) 25.583 * * [simplify]: iters left: 2 (87 enodes) 25.608 * * [simplify]: Extracting #0: cost 1 inf + 0 25.608 * * [simplify]: Extracting #1: cost 3 inf + 0 25.608 * * [simplify]: Extracting #2: cost 5 inf + 0 25.608 * * [simplify]: Extracting #3: cost 8 inf + 0 25.608 * * [simplify]: Extracting #4: cost 18 inf + 1 25.608 * * [simplify]: Extracting #5: cost 26 inf + 46 25.609 * * [simplify]: Extracting #6: cost 28 inf + 255 25.609 * * [simplify]: Extracting #7: cost 24 inf + 423 25.610 * * [simplify]: Extracting #8: cost 15 inf + 1668 25.611 * * [simplify]: Extracting #9: cost 1 inf + 4835 25.613 * * [simplify]: Extracting #10: cost 0 inf + 5195 25.615 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) 25.615 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* -2 J))) 25.615 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 25.615 * [simplify]: Simplifying (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) 25.616 * * [simplify]: iters left: 6 (12 enodes) 25.619 * * [simplify]: iters left: 5 (43 enodes) 25.626 * * [simplify]: iters left: 4 (59 enodes) 25.637 * * [simplify]: iters left: 3 (77 enodes) 25.649 * * [simplify]: iters left: 2 (84 enodes) 25.670 * * [simplify]: Extracting #0: cost 1 inf + 0 25.670 * * [simplify]: Extracting #1: cost 3 inf + 0 25.671 * * [simplify]: Extracting #2: cost 6 inf + 0 25.671 * * [simplify]: Extracting #3: cost 16 inf + 1 25.671 * * [simplify]: Extracting #4: cost 23 inf + 129 25.671 * * [simplify]: Extracting #5: cost 25 inf + 338 25.671 * * [simplify]: Extracting #6: cost 22 inf + 423 25.672 * * [simplify]: Extracting #7: cost 11 inf + 1831 25.673 * * [simplify]: Extracting #8: cost 1 inf + 4035 25.675 * * [simplify]: Extracting #9: cost 0 inf + 4315 25.676 * [simplify]: Simplified to (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 25.677 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* -2 J))) 25.677 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 94 / 118 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))))) (* -2 J)))> 25.677 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 25.677 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 25.678 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 25.678 * * * * [progress]: [ 106 / 118 ] simplifiying candidate #real (real->posit16 (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J)))> 25.678 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 25.678 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 25.678 * * [simplify]: iters left: 6 (10 enodes) 25.684 * * [simplify]: iters left: 5 (44 enodes) 25.700 * * [simplify]: iters left: 4 (83 enodes) 25.725 * * [simplify]: iters left: 3 (132 enodes) 25.764 * * [simplify]: iters left: 2 (186 enodes) 25.805 * * [simplify]: iters left: 1 (263 enodes) 25.894 * * [simplify]: Extracting #0: cost 1 inf + 0 25.894 * * [simplify]: Extracting #1: cost 23 inf + 0 25.895 * * [simplify]: Extracting #2: cost 44 inf + 89 25.896 * * [simplify]: Extracting #3: cost 21 inf + 2920 25.897 * * [simplify]: Extracting #4: cost 0 inf + 4598 25.899 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 25.899 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 25.899 * * * * [progress]: [ 108 / 118 ] simplifiying candidate # 25.899 * [simplify]: Simplifying (* -1 U) 25.899 * * [simplify]: iters left: 2 (3 enodes) 25.900 * * [simplify]: iters left: 1 (11 enodes) 25.902 * * [simplify]: Extracting #0: cost 1 inf + 0 25.902 * * [simplify]: Extracting #1: cost 4 inf + 0 25.902 * * [simplify]: Extracting #2: cost 0 inf + 84 25.902 * [simplify]: Simplified to (- U) 25.902 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 25.902 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 25.902 * [simplify]: Simplifying (* -1 U) 25.902 * * [simplify]: iters left: 2 (3 enodes) 25.903 * * [simplify]: iters left: 1 (11 enodes) 25.905 * * [simplify]: Extracting #0: cost 1 inf + 0 25.905 * * [simplify]: Extracting #1: cost 4 inf + 0 25.905 * * [simplify]: Extracting #2: cost 0 inf + 84 25.906 * [simplify]: Simplified to (- U) 25.906 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 25.906 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 25.906 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 25.906 * * [simplify]: iters left: 6 (13 enodes) 25.910 * * [simplify]: iters left: 5 (55 enodes) 25.919 * * [simplify]: iters left: 4 (92 enodes) 25.945 * * [simplify]: iters left: 3 (155 enodes) 25.992 * * [simplify]: iters left: 2 (238 enodes) 26.038 * * [simplify]: iters left: 1 (367 enodes) 26.171 * * [simplify]: Extracting #0: cost 1 inf + 0 26.171 * * [simplify]: Extracting #1: cost 33 inf + 0 26.172 * * [simplify]: Extracting #2: cost 65 inf + 129 26.172 * * [simplify]: Extracting #3: cost 50 inf + 2235 26.174 * * [simplify]: Extracting #4: cost 4 inf + 6690 26.177 * * [simplify]: Extracting #5: cost 0 inf + 7294 26.179 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 26.180 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (cos (/ K 2))) (* -2 J))) 26.180 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 26.180 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.180 * * [simplify]: iters left: 6 (9 enodes) 26.182 * * [simplify]: iters left: 5 (34 enodes) 26.188 * * [simplify]: iters left: 4 (56 enodes) 26.196 * * [simplify]: iters left: 3 (90 enodes) 26.225 * * [simplify]: iters left: 2 (114 enodes) 26.245 * * [simplify]: iters left: 1 (131 enodes) 26.262 * * [simplify]: Extracting #0: cost 1 inf + 0 26.262 * * [simplify]: Extracting #1: cost 22 inf + 0 26.262 * * [simplify]: Extracting #2: cost 37 inf + 3 26.263 * * [simplify]: Extracting #3: cost 31 inf + 380 26.263 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.264 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.265 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.268 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.268 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 26.268 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 26.268 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.268 * * [simplify]: iters left: 6 (9 enodes) 26.273 * * [simplify]: iters left: 5 (34 enodes) 26.284 * * [simplify]: iters left: 4 (56 enodes) 26.302 * * [simplify]: iters left: 3 (90 enodes) 26.325 * * [simplify]: iters left: 2 (114 enodes) 26.342 * * [simplify]: iters left: 1 (131 enodes) 26.365 * * [simplify]: Extracting #0: cost 1 inf + 0 26.365 * * [simplify]: Extracting #1: cost 22 inf + 0 26.366 * * [simplify]: Extracting #2: cost 37 inf + 3 26.366 * * [simplify]: Extracting #3: cost 31 inf + 380 26.367 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.369 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.371 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.373 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.373 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 26.373 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 26.374 * [simplify]: Simplifying 1 26.374 * * [simplify]: iters left: 0 (1 enodes) 26.375 * * [simplify]: Extracting #0: cost 1 inf + 0 26.375 * * [simplify]: Extracting #1: cost 0 inf + 1 26.375 * [simplify]: Simplified to 1 26.375 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* -2 J))) 26.375 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 26.375 * [simplify]: Simplifying (* 1/2 (/ U J)) 26.375 * * [simplify]: iters left: 4 (5 enodes) 26.378 * * [simplify]: iters left: 3 (18 enodes) 26.383 * * [simplify]: iters left: 2 (24 enodes) 26.387 * * [simplify]: iters left: 1 (28 enodes) 26.391 * * [simplify]: Extracting #0: cost 1 inf + 0 26.391 * * [simplify]: Extracting #1: cost 10 inf + 0 26.391 * * [simplify]: Extracting #2: cost 9 inf + 87 26.391 * * [simplify]: Extracting #3: cost 0 inf + 547 26.392 * [simplify]: Simplified to (* (/ U J) 1/2) 26.392 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 26.392 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 26.392 * [simplify]: Simplifying (* 1/2 (/ U J)) 26.392 * * [simplify]: iters left: 4 (5 enodes) 26.393 * * [simplify]: iters left: 3 (18 enodes) 26.396 * * [simplify]: iters left: 2 (24 enodes) 26.401 * * [simplify]: iters left: 1 (28 enodes) 26.405 * * [simplify]: Extracting #0: cost 1 inf + 0 26.405 * * [simplify]: Extracting #1: cost 10 inf + 0 26.405 * * [simplify]: Extracting #2: cost 9 inf + 87 26.405 * * [simplify]: Extracting #3: cost 0 inf + 547 26.405 * [simplify]: Simplified to (* (/ U J) 1/2) 26.405 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 26.405 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 26.406 * [simplify]: Simplifying 1 26.406 * * [simplify]: iters left: 0 (1 enodes) 26.406 * * [simplify]: Extracting #0: cost 1 inf + 0 26.406 * * [simplify]: Extracting #1: cost 0 inf + 1 26.406 * [simplify]: Simplified to 1 26.406 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 (cos (/ K 2))) (* -2 J))) 26.406 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 26.406 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.407 * * [simplify]: iters left: 6 (9 enodes) 26.409 * * [simplify]: iters left: 5 (34 enodes) 26.421 * * [simplify]: iters left: 4 (56 enodes) 26.439 * * [simplify]: iters left: 3 (90 enodes) 26.462 * * [simplify]: iters left: 2 (114 enodes) 26.477 * * [simplify]: iters left: 1 (131 enodes) 26.504 * * [simplify]: Extracting #0: cost 1 inf + 0 26.505 * * [simplify]: Extracting #1: cost 22 inf + 0 26.505 * * [simplify]: Extracting #2: cost 37 inf + 3 26.505 * * [simplify]: Extracting #3: cost 31 inf + 380 26.506 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.508 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.511 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.513 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.513 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) (cos (/ K 2))) (* -2 J))) 26.513 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 26.513 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.513 * * [simplify]: iters left: 6 (9 enodes) 26.518 * * [simplify]: iters left: 5 (34 enodes) 26.530 * * [simplify]: iters left: 4 (56 enodes) 26.543 * * [simplify]: iters left: 3 (90 enodes) 26.556 * * [simplify]: iters left: 2 (114 enodes) 26.578 * * [simplify]: iters left: 1 (131 enodes) 26.616 * * [simplify]: Extracting #0: cost 1 inf + 0 26.616 * * [simplify]: Extracting #1: cost 22 inf + 0 26.617 * * [simplify]: Extracting #2: cost 37 inf + 3 26.617 * * [simplify]: Extracting #3: cost 31 inf + 380 26.618 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.620 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.622 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.624 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.624 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) (cos (/ K 2))) (* -2 J))) 26.624 * * * [progress]: adding candidates to table 28.158 * * [progress]: iteration 4 / 4 28.158 * * * [progress]: picking best candidate 28.229 * * * * [pick]: Picked # 28.230 * * * [progress]: localizing error 28.289 * * * [progress]: generating rewritten candidates 28.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 28.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 28.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 28.438 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 28.464 * * * [progress]: generating series expansions 28.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 28.464 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 28.465 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 28.465 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 28.465 * [taylor]: Taking taylor expansion of -2 in K 28.465 * [backup-simplify]: Simplify -2 into -2 28.465 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 28.465 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.465 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.465 * [taylor]: Taking taylor expansion of 1/2 in K 28.465 * [backup-simplify]: Simplify 1/2 into 1/2 28.465 * [taylor]: Taking taylor expansion of K in K 28.465 * [backup-simplify]: Simplify 0 into 0 28.465 * [backup-simplify]: Simplify 1 into 1 28.465 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.466 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.466 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 28.466 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.466 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.466 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 28.466 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.466 * [taylor]: Taking taylor expansion of 1 in K 28.466 * [backup-simplify]: Simplify 1 into 1 28.466 * [taylor]: Taking taylor expansion of 1 in K 28.466 * [backup-simplify]: Simplify 1 into 1 28.466 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.466 * [taylor]: Taking taylor expansion of 1/2 in K 28.466 * [backup-simplify]: Simplify 1/2 into 1/2 28.466 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.466 * [taylor]: Taking taylor expansion of U in K 28.466 * [backup-simplify]: Simplify U into U 28.466 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.466 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.466 * [taylor]: Taking taylor expansion of 1/2 in K 28.466 * [backup-simplify]: Simplify 1/2 into 1/2 28.466 * [taylor]: Taking taylor expansion of K in K 28.466 * [backup-simplify]: Simplify 0 into 0 28.466 * [backup-simplify]: Simplify 1 into 1 28.467 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.467 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.467 * [taylor]: Taking taylor expansion of J in K 28.467 * [backup-simplify]: Simplify J into J 28.467 * [backup-simplify]: Simplify (* 1 J) into J 28.467 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.467 * [taylor]: Taking taylor expansion of 1/2 in K 28.467 * [backup-simplify]: Simplify 1/2 into 1/2 28.467 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.467 * [taylor]: Taking taylor expansion of U in K 28.467 * [backup-simplify]: Simplify U into U 28.467 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.467 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.467 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.467 * [taylor]: Taking taylor expansion of 1/2 in K 28.467 * [backup-simplify]: Simplify 1/2 into 1/2 28.467 * [taylor]: Taking taylor expansion of K in K 28.467 * [backup-simplify]: Simplify 0 into 0 28.467 * [backup-simplify]: Simplify 1 into 1 28.468 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.468 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.468 * [taylor]: Taking taylor expansion of J in K 28.468 * [backup-simplify]: Simplify J into J 28.468 * [backup-simplify]: Simplify (* 1 J) into J 28.468 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.468 * [backup-simplify]: Simplify (* 1 1) into 1 28.469 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.469 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.469 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 28.469 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 28.469 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 28.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.470 * [backup-simplify]: Simplify (+ 0) into 0 28.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.470 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.471 * [backup-simplify]: Simplify (+ 0) into 0 28.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.471 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.471 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 28.472 * [backup-simplify]: Simplify (+ 0 0) into 0 28.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 28.472 * [taylor]: Taking taylor expansion of J in K 28.472 * [backup-simplify]: Simplify J into J 28.472 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 28.472 * [taylor]: Taking taylor expansion of -2 in J 28.472 * [backup-simplify]: Simplify -2 into -2 28.472 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 28.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.472 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.472 * [taylor]: Taking taylor expansion of 1/2 in J 28.472 * [backup-simplify]: Simplify 1/2 into 1/2 28.472 * [taylor]: Taking taylor expansion of K in J 28.472 * [backup-simplify]: Simplify K into K 28.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.472 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.472 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.472 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 28.472 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 28.472 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.472 * [taylor]: Taking taylor expansion of 1 in J 28.472 * [backup-simplify]: Simplify 1 into 1 28.472 * [taylor]: Taking taylor expansion of 1 in J 28.472 * [backup-simplify]: Simplify 1 into 1 28.472 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.472 * [taylor]: Taking taylor expansion of 1/2 in J 28.472 * [backup-simplify]: Simplify 1/2 into 1/2 28.472 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.472 * [taylor]: Taking taylor expansion of U in J 28.472 * [backup-simplify]: Simplify U into U 28.472 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.472 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.472 * [taylor]: Taking taylor expansion of 1/2 in J 28.472 * [backup-simplify]: Simplify 1/2 into 1/2 28.472 * [taylor]: Taking taylor expansion of K in J 28.472 * [backup-simplify]: Simplify K into K 28.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.473 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.473 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.473 * [taylor]: Taking taylor expansion of J in J 28.473 * [backup-simplify]: Simplify 0 into 0 28.473 * [backup-simplify]: Simplify 1 into 1 28.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.473 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.473 * [backup-simplify]: Simplify (- 0) into 0 28.473 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.473 * [backup-simplify]: Simplify (+ 0) into 0 28.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.475 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.475 * [backup-simplify]: Simplify (- 0) into 0 28.475 * [backup-simplify]: Simplify (+ 0 0) into 0 28.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.475 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.476 * [taylor]: Taking taylor expansion of 1/2 in J 28.476 * [backup-simplify]: Simplify 1/2 into 1/2 28.476 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.476 * [taylor]: Taking taylor expansion of U in J 28.476 * [backup-simplify]: Simplify U into U 28.476 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.476 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.476 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.476 * [taylor]: Taking taylor expansion of 1/2 in J 28.476 * [backup-simplify]: Simplify 1/2 into 1/2 28.476 * [taylor]: Taking taylor expansion of K in J 28.476 * [backup-simplify]: Simplify K into K 28.476 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.476 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.476 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.476 * [taylor]: Taking taylor expansion of J in J 28.476 * [backup-simplify]: Simplify 0 into 0 28.476 * [backup-simplify]: Simplify 1 into 1 28.476 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.476 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.476 * [backup-simplify]: Simplify (- 0) into 0 28.476 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.476 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.477 * [backup-simplify]: Simplify (+ 0) into 0 28.477 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.478 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.478 * [backup-simplify]: Simplify (- 0) into 0 28.478 * [backup-simplify]: Simplify (+ 0 0) into 0 28.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.479 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.479 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.479 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.479 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 28.479 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 28.479 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.481 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.482 * [backup-simplify]: Simplify (- 0) into 0 28.482 * [backup-simplify]: Simplify (+ 0 0) into 0 28.482 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.482 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.484 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.485 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.485 * [backup-simplify]: Simplify (- 0) into 0 28.486 * [backup-simplify]: Simplify (+ 0 0) into 0 28.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.486 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.487 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 28.487 * [backup-simplify]: Simplify (+ 0 0) into 0 28.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 28.487 * [taylor]: Taking taylor expansion of J in J 28.487 * [backup-simplify]: Simplify 0 into 0 28.487 * [backup-simplify]: Simplify 1 into 1 28.487 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 28.487 * [taylor]: Taking taylor expansion of -2 in U 28.487 * [backup-simplify]: Simplify -2 into -2 28.487 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 28.487 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.487 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.487 * [taylor]: Taking taylor expansion of 1/2 in U 28.487 * [backup-simplify]: Simplify 1/2 into 1/2 28.487 * [taylor]: Taking taylor expansion of K in U 28.487 * [backup-simplify]: Simplify K into K 28.487 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.487 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.487 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.487 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 28.487 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.487 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.487 * [taylor]: Taking taylor expansion of 1 in U 28.487 * [backup-simplify]: Simplify 1 into 1 28.487 * [taylor]: Taking taylor expansion of 1 in U 28.487 * [backup-simplify]: Simplify 1 into 1 28.487 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.488 * [taylor]: Taking taylor expansion of 1/2 in U 28.488 * [backup-simplify]: Simplify 1/2 into 1/2 28.488 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.488 * [taylor]: Taking taylor expansion of U in U 28.488 * [backup-simplify]: Simplify 0 into 0 28.488 * [backup-simplify]: Simplify 1 into 1 28.488 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.488 * [taylor]: Taking taylor expansion of 1/2 in U 28.488 * [backup-simplify]: Simplify 1/2 into 1/2 28.488 * [taylor]: Taking taylor expansion of K in U 28.488 * [backup-simplify]: Simplify K into K 28.488 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.488 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.488 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.488 * [taylor]: Taking taylor expansion of J in U 28.488 * [backup-simplify]: Simplify J into J 28.488 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.488 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.488 * [backup-simplify]: Simplify (- 0) into 0 28.488 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.488 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.488 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.488 * [taylor]: Taking taylor expansion of 1/2 in U 28.488 * [backup-simplify]: Simplify 1/2 into 1/2 28.488 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.488 * [taylor]: Taking taylor expansion of U in U 28.488 * [backup-simplify]: Simplify 0 into 0 28.488 * [backup-simplify]: Simplify 1 into 1 28.488 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.489 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.489 * [taylor]: Taking taylor expansion of 1/2 in U 28.489 * [backup-simplify]: Simplify 1/2 into 1/2 28.489 * [taylor]: Taking taylor expansion of K in U 28.489 * [backup-simplify]: Simplify K into K 28.489 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.489 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.489 * [taylor]: Taking taylor expansion of J in U 28.489 * [backup-simplify]: Simplify J into J 28.489 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.489 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.489 * [backup-simplify]: Simplify (- 0) into 0 28.489 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.489 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.489 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.490 * [backup-simplify]: Simplify (* 1 1) into 1 28.490 * [backup-simplify]: Simplify (+ 1 0) into 1 28.491 * [backup-simplify]: Simplify (sqrt 1) into 1 28.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.492 * [backup-simplify]: Simplify (+ 0 0) into 0 28.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.492 * [taylor]: Taking taylor expansion of J in U 28.492 * [backup-simplify]: Simplify J into J 28.492 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 28.492 * [taylor]: Taking taylor expansion of -2 in U 28.493 * [backup-simplify]: Simplify -2 into -2 28.493 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 28.493 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.493 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.493 * [taylor]: Taking taylor expansion of 1/2 in U 28.493 * [backup-simplify]: Simplify 1/2 into 1/2 28.493 * [taylor]: Taking taylor expansion of K in U 28.493 * [backup-simplify]: Simplify K into K 28.493 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.493 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.493 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.493 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 28.493 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.494 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.494 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.494 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.494 * [taylor]: Taking taylor expansion of 1 in U 28.494 * [backup-simplify]: Simplify 1 into 1 28.494 * [taylor]: Taking taylor expansion of 1 in U 28.494 * [backup-simplify]: Simplify 1 into 1 28.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.494 * [taylor]: Taking taylor expansion of 1/2 in U 28.494 * [backup-simplify]: Simplify 1/2 into 1/2 28.494 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.494 * [taylor]: Taking taylor expansion of U in U 28.494 * [backup-simplify]: Simplify 0 into 0 28.494 * [backup-simplify]: Simplify 1 into 1 28.494 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.494 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.494 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.494 * [taylor]: Taking taylor expansion of 1/2 in U 28.494 * [backup-simplify]: Simplify 1/2 into 1/2 28.494 * [taylor]: Taking taylor expansion of K in U 28.494 * [backup-simplify]: Simplify K into K 28.494 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.494 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.494 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.494 * [taylor]: Taking taylor expansion of J in U 28.494 * [backup-simplify]: Simplify J into J 28.494 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.495 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.495 * [backup-simplify]: Simplify (- 0) into 0 28.495 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.495 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.495 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.495 * [taylor]: Taking taylor expansion of 1/2 in U 28.496 * [backup-simplify]: Simplify 1/2 into 1/2 28.496 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.496 * [taylor]: Taking taylor expansion of U in U 28.496 * [backup-simplify]: Simplify 0 into 0 28.496 * [backup-simplify]: Simplify 1 into 1 28.496 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.496 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.496 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.496 * [taylor]: Taking taylor expansion of 1/2 in U 28.496 * [backup-simplify]: Simplify 1/2 into 1/2 28.496 * [taylor]: Taking taylor expansion of K in U 28.496 * [backup-simplify]: Simplify K into K 28.496 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.496 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.496 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.496 * [taylor]: Taking taylor expansion of J in U 28.496 * [backup-simplify]: Simplify J into J 28.496 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.496 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.497 * [backup-simplify]: Simplify (- 0) into 0 28.497 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.497 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.497 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.497 * [backup-simplify]: Simplify (* 1 1) into 1 28.498 * [backup-simplify]: Simplify (+ 1 0) into 1 28.498 * [backup-simplify]: Simplify (sqrt 1) into 1 28.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.499 * [backup-simplify]: Simplify (+ 0 0) into 0 28.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.500 * [taylor]: Taking taylor expansion of J in U 28.500 * [backup-simplify]: Simplify J into J 28.500 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.500 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.501 * [backup-simplify]: Simplify (- 0) into 0 28.501 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.501 * [backup-simplify]: Simplify (* 1 J) into J 28.501 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.501 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 28.501 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 28.501 * [taylor]: Taking taylor expansion of -2 in J 28.501 * [backup-simplify]: Simplify -2 into -2 28.501 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.501 * [taylor]: Taking taylor expansion of 1/2 in J 28.501 * [backup-simplify]: Simplify 1/2 into 1/2 28.501 * [taylor]: Taking taylor expansion of K in J 28.501 * [backup-simplify]: Simplify K into K 28.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.502 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.502 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.502 * [taylor]: Taking taylor expansion of J in J 28.502 * [backup-simplify]: Simplify 0 into 0 28.502 * [backup-simplify]: Simplify 1 into 1 28.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.506 * [backup-simplify]: Simplify (+ 0) into 0 28.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.507 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.508 * [backup-simplify]: Simplify (- 0) into 0 28.508 * [backup-simplify]: Simplify (+ 0 0) into 0 28.508 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.508 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 28.508 * [taylor]: Taking taylor expansion of 0 in J 28.508 * [backup-simplify]: Simplify 0 into 0 28.509 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.509 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.509 * [backup-simplify]: Simplify (- 0) into 0 28.509 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.509 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.509 * [backup-simplify]: Simplify (* -2 0) into 0 28.509 * [taylor]: Taking taylor expansion of 0 in K 28.509 * [backup-simplify]: Simplify 0 into 0 28.509 * [backup-simplify]: Simplify 0 into 0 28.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.510 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.510 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.510 * [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))) 28.510 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 28.511 * [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))) 28.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 28.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.514 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.514 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.514 * [backup-simplify]: Simplify (- 0) into 0 28.515 * [backup-simplify]: Simplify (+ 0 0) into 0 28.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 28.515 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 28.515 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 28.515 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 28.515 * [taylor]: Taking taylor expansion of 1/4 in J 28.515 * [backup-simplify]: Simplify 1/4 into 1/4 28.516 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 28.516 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.516 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.516 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.516 * [taylor]: Taking taylor expansion of 1/2 in J 28.516 * [backup-simplify]: Simplify 1/2 into 1/2 28.516 * [taylor]: Taking taylor expansion of K in J 28.516 * [backup-simplify]: Simplify K into K 28.516 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.516 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.516 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.516 * [taylor]: Taking taylor expansion of J in J 28.516 * [backup-simplify]: Simplify 0 into 0 28.516 * [backup-simplify]: Simplify 1 into 1 28.516 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.516 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.516 * [backup-simplify]: Simplify (- 0) into 0 28.516 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.516 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.517 * [backup-simplify]: Simplify (+ 0) into 0 28.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.518 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.518 * [backup-simplify]: Simplify (- 0) into 0 28.519 * [backup-simplify]: Simplify (+ 0 0) into 0 28.519 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.519 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 28.519 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 28.519 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 28.519 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 28.519 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 28.519 * [taylor]: Taking taylor expansion of 1/4 in K 28.519 * [backup-simplify]: Simplify 1/4 into 1/4 28.519 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 28.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.519 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.519 * [taylor]: Taking taylor expansion of 1/2 in K 28.519 * [backup-simplify]: Simplify 1/2 into 1/2 28.519 * [taylor]: Taking taylor expansion of K in K 28.519 * [backup-simplify]: Simplify 0 into 0 28.519 * [backup-simplify]: Simplify 1 into 1 28.520 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.520 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.520 * [backup-simplify]: Simplify (/ 1 1) into 1 28.521 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.521 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.521 * [backup-simplify]: Simplify -1/4 into -1/4 28.521 * [taylor]: Taking taylor expansion of 0 in K 28.521 * [backup-simplify]: Simplify 0 into 0 28.521 * [backup-simplify]: Simplify 0 into 0 28.521 * [backup-simplify]: Simplify (+ 0) into 0 28.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.523 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.523 * [backup-simplify]: Simplify (- 0) into 0 28.523 * [backup-simplify]: Simplify (+ 0 0) into 0 28.524 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.524 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 28.524 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 28.524 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 28.524 * [taylor]: Taking taylor expansion of 2 in K 28.524 * [backup-simplify]: Simplify 2 into 2 28.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.524 * [taylor]: Taking taylor expansion of 1/2 in K 28.524 * [backup-simplify]: Simplify 1/2 into 1/2 28.524 * [taylor]: Taking taylor expansion of K in K 28.524 * [backup-simplify]: Simplify 0 into 0 28.524 * [backup-simplify]: Simplify 1 into 1 28.524 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.525 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.525 * [backup-simplify]: Simplify (* 2 1) into 2 28.525 * [backup-simplify]: Simplify (- 2) into -2 28.525 * [backup-simplify]: Simplify -2 into -2 28.525 * [backup-simplify]: Simplify 0 into 0 28.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.526 * [backup-simplify]: Simplify (+ 0) into 0 28.527 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.528 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.528 * [backup-simplify]: Simplify (- 0) into 0 28.528 * [backup-simplify]: Simplify (+ 0 0) into 0 28.528 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.528 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.529 * [backup-simplify]: Simplify (+ 0) into 0 28.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.530 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.531 * [backup-simplify]: Simplify (- 0) into 0 28.531 * [backup-simplify]: Simplify (+ 0 0) into 0 28.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.531 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.532 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 28.532 * [backup-simplify]: Simplify (+ 0 0) into 0 28.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 28.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 28.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.534 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 28.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.536 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.536 * [backup-simplify]: Simplify (- 0) into 0 28.536 * [backup-simplify]: Simplify (+ 0 0) into 0 28.537 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 28.537 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 28.537 * [taylor]: Taking taylor expansion of 0 in J 28.537 * [backup-simplify]: Simplify 0 into 0 28.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.538 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.539 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.540 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.540 * [backup-simplify]: Simplify (- 0) into 0 28.540 * [backup-simplify]: Simplify (+ 0 0) into 0 28.541 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 28.541 * [backup-simplify]: Simplify (- 0) into 0 28.541 * [taylor]: Taking taylor expansion of 0 in K 28.541 * [backup-simplify]: Simplify 0 into 0 28.542 * [backup-simplify]: Simplify 0 into 0 28.542 * [taylor]: Taking taylor expansion of 0 in K 28.542 * [backup-simplify]: Simplify 0 into 0 28.542 * [backup-simplify]: Simplify 0 into 0 28.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.544 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.544 * [backup-simplify]: Simplify (- 0) into 0 28.544 * [backup-simplify]: Simplify (+ 0 0) into 0 28.545 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.546 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 28.546 * [taylor]: Taking taylor expansion of 0 in K 28.546 * [backup-simplify]: Simplify 0 into 0 28.546 * [backup-simplify]: Simplify 0 into 0 28.546 * [backup-simplify]: Simplify (+ 0) into 0 28.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.548 * [backup-simplify]: Simplify (- 0) into 0 28.548 * [backup-simplify]: Simplify 0 into 0 28.548 * [backup-simplify]: Simplify 0 into 0 28.549 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 28.549 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 28.549 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 28.549 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 28.549 * [taylor]: Taking taylor expansion of -2 in K 28.549 * [backup-simplify]: Simplify -2 into -2 28.549 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 28.549 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 28.549 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.549 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 28.549 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.549 * [taylor]: Taking taylor expansion of 1 in K 28.549 * [backup-simplify]: Simplify 1 into 1 28.550 * [taylor]: Taking taylor expansion of 1 in K 28.550 * [backup-simplify]: Simplify 1 into 1 28.550 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.550 * [taylor]: Taking taylor expansion of 1/2 in K 28.550 * [backup-simplify]: Simplify 1/2 into 1/2 28.550 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.550 * [taylor]: Taking taylor expansion of J in K 28.550 * [backup-simplify]: Simplify J into J 28.550 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.550 * [taylor]: Taking taylor expansion of U in K 28.550 * [backup-simplify]: Simplify U into U 28.550 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.550 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.550 * [taylor]: Taking taylor expansion of 1/2 in K 28.550 * [backup-simplify]: Simplify 1/2 into 1/2 28.550 * [taylor]: Taking taylor expansion of K in K 28.550 * [backup-simplify]: Simplify 0 into 0 28.550 * [backup-simplify]: Simplify 1 into 1 28.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.551 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.551 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.551 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.551 * [taylor]: Taking taylor expansion of 1/2 in K 28.551 * [backup-simplify]: Simplify 1/2 into 1/2 28.551 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.551 * [taylor]: Taking taylor expansion of J in K 28.551 * [backup-simplify]: Simplify J into J 28.551 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.551 * [taylor]: Taking taylor expansion of U in K 28.551 * [backup-simplify]: Simplify U into U 28.551 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.551 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.551 * [taylor]: Taking taylor expansion of 1/2 in K 28.551 * [backup-simplify]: Simplify 1/2 into 1/2 28.551 * [taylor]: Taking taylor expansion of K in K 28.551 * [backup-simplify]: Simplify 0 into 0 28.551 * [backup-simplify]: Simplify 1 into 1 28.552 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.552 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.552 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.552 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.552 * [backup-simplify]: Simplify (* 1 1) into 1 28.553 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.553 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.553 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 28.554 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 28.554 * [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)) 28.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.555 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.556 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.557 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.557 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.558 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 28.558 * [backup-simplify]: Simplify (+ 0 0) into 0 28.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 28.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.559 * [taylor]: Taking taylor expansion of 1/2 in K 28.559 * [backup-simplify]: Simplify 1/2 into 1/2 28.559 * [taylor]: Taking taylor expansion of K in K 28.559 * [backup-simplify]: Simplify 0 into 0 28.559 * [backup-simplify]: Simplify 1 into 1 28.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.560 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.560 * [taylor]: Taking taylor expansion of J in K 28.560 * [backup-simplify]: Simplify J into J 28.560 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 28.561 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 28.561 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 28.561 * [taylor]: Taking taylor expansion of -2 in J 28.561 * [backup-simplify]: Simplify -2 into -2 28.561 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 28.561 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 28.561 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.561 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.561 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 28.561 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.561 * [taylor]: Taking taylor expansion of 1 in J 28.561 * [backup-simplify]: Simplify 1 into 1 28.561 * [taylor]: Taking taylor expansion of 1 in J 28.561 * [backup-simplify]: Simplify 1 into 1 28.561 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.561 * [taylor]: Taking taylor expansion of 1/2 in J 28.561 * [backup-simplify]: Simplify 1/2 into 1/2 28.561 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.561 * [taylor]: Taking taylor expansion of J in J 28.561 * [backup-simplify]: Simplify 0 into 0 28.561 * [backup-simplify]: Simplify 1 into 1 28.561 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.561 * [taylor]: Taking taylor expansion of U in J 28.561 * [backup-simplify]: Simplify U into U 28.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.561 * [taylor]: Taking taylor expansion of 1/2 in J 28.561 * [backup-simplify]: Simplify 1/2 into 1/2 28.561 * [taylor]: Taking taylor expansion of K in J 28.561 * [backup-simplify]: Simplify K into K 28.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.562 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.562 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.562 * [backup-simplify]: Simplify (- 0) into 0 28.563 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.563 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.563 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.563 * [taylor]: Taking taylor expansion of 1/2 in J 28.563 * [backup-simplify]: Simplify 1/2 into 1/2 28.563 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.563 * [taylor]: Taking taylor expansion of J in J 28.563 * [backup-simplify]: Simplify 0 into 0 28.563 * [backup-simplify]: Simplify 1 into 1 28.563 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.563 * [taylor]: Taking taylor expansion of U in J 28.563 * [backup-simplify]: Simplify U into U 28.563 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.563 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.563 * [taylor]: Taking taylor expansion of 1/2 in J 28.563 * [backup-simplify]: Simplify 1/2 into 1/2 28.563 * [taylor]: Taking taylor expansion of K in J 28.563 * [backup-simplify]: Simplify K into K 28.563 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.563 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.563 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.563 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.564 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.564 * [backup-simplify]: Simplify (- 0) into 0 28.564 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.564 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.564 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.565 * [backup-simplify]: Simplify (* 1 1) into 1 28.565 * [backup-simplify]: Simplify (+ 1 0) into 1 28.566 * [backup-simplify]: Simplify (sqrt 1) into 1 28.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.567 * [backup-simplify]: Simplify (+ 0 0) into 0 28.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.567 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.567 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.567 * [taylor]: Taking taylor expansion of 1/2 in J 28.567 * [backup-simplify]: Simplify 1/2 into 1/2 28.567 * [taylor]: Taking taylor expansion of K in J 28.567 * [backup-simplify]: Simplify K into K 28.568 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.568 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.568 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.568 * [taylor]: Taking taylor expansion of J in J 28.568 * [backup-simplify]: Simplify 0 into 0 28.568 * [backup-simplify]: Simplify 1 into 1 28.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.568 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.568 * [backup-simplify]: Simplify (- 0) into 0 28.568 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.569 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 28.569 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.569 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 28.569 * [taylor]: Taking taylor expansion of -2 in U 28.569 * [backup-simplify]: Simplify -2 into -2 28.569 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 28.569 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 28.569 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.569 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.569 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.569 * [taylor]: Taking taylor expansion of 1 in U 28.569 * [backup-simplify]: Simplify 1 into 1 28.569 * [taylor]: Taking taylor expansion of 1 in U 28.569 * [backup-simplify]: Simplify 1 into 1 28.569 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.569 * [taylor]: Taking taylor expansion of 1/2 in U 28.569 * [backup-simplify]: Simplify 1/2 into 1/2 28.569 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.569 * [taylor]: Taking taylor expansion of J in U 28.569 * [backup-simplify]: Simplify J into J 28.569 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.569 * [taylor]: Taking taylor expansion of U in U 28.569 * [backup-simplify]: Simplify 0 into 0 28.569 * [backup-simplify]: Simplify 1 into 1 28.569 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.569 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.569 * [taylor]: Taking taylor expansion of 1/2 in U 28.569 * [backup-simplify]: Simplify 1/2 into 1/2 28.569 * [taylor]: Taking taylor expansion of K in U 28.569 * [backup-simplify]: Simplify K into K 28.569 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.570 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.570 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.570 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.570 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.570 * [backup-simplify]: Simplify (- 0) into 0 28.570 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.571 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.571 * [backup-simplify]: Simplify (+ 0) into 0 28.571 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.573 * [backup-simplify]: Simplify (- 0) into 0 28.574 * [backup-simplify]: Simplify (+ 0 0) into 0 28.574 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.574 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.574 * [taylor]: Taking taylor expansion of 1/2 in U 28.574 * [backup-simplify]: Simplify 1/2 into 1/2 28.574 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.574 * [taylor]: Taking taylor expansion of J in U 28.574 * [backup-simplify]: Simplify J into J 28.574 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.574 * [taylor]: Taking taylor expansion of U in U 28.574 * [backup-simplify]: Simplify 0 into 0 28.574 * [backup-simplify]: Simplify 1 into 1 28.574 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.575 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.575 * [taylor]: Taking taylor expansion of 1/2 in U 28.575 * [backup-simplify]: Simplify 1/2 into 1/2 28.575 * [taylor]: Taking taylor expansion of K in U 28.575 * [backup-simplify]: Simplify K into K 28.575 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.575 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.575 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.575 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.575 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.576 * [backup-simplify]: Simplify (- 0) into 0 28.576 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.576 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.576 * [backup-simplify]: Simplify (+ 0) into 0 28.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.578 * [backup-simplify]: Simplify (- 0) into 0 28.579 * [backup-simplify]: Simplify (+ 0 0) into 0 28.579 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.579 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.579 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.579 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.580 * [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))) 28.580 * [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))) 28.580 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.582 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.583 * [backup-simplify]: Simplify (- 0) into 0 28.583 * [backup-simplify]: Simplify (+ 0 0) into 0 28.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.584 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.586 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.586 * [backup-simplify]: Simplify (- 0) into 0 28.587 * [backup-simplify]: Simplify (+ 0 0) into 0 28.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.587 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.588 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.588 * [backup-simplify]: Simplify (+ 0 0) into 0 28.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.588 * [taylor]: Taking taylor expansion of 1/2 in U 28.588 * [backup-simplify]: Simplify 1/2 into 1/2 28.588 * [taylor]: Taking taylor expansion of K in U 28.588 * [backup-simplify]: Simplify K into K 28.588 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.588 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.588 * [taylor]: Taking taylor expansion of J in U 28.588 * [backup-simplify]: Simplify J into J 28.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.589 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.589 * [backup-simplify]: Simplify (- 0) into 0 28.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.589 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 28.589 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 28.589 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 28.589 * [taylor]: Taking taylor expansion of -2 in U 28.589 * [backup-simplify]: Simplify -2 into -2 28.589 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 28.589 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 28.589 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.589 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.589 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.589 * [taylor]: Taking taylor expansion of 1 in U 28.589 * [backup-simplify]: Simplify 1 into 1 28.589 * [taylor]: Taking taylor expansion of 1 in U 28.589 * [backup-simplify]: Simplify 1 into 1 28.589 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.589 * [taylor]: Taking taylor expansion of 1/2 in U 28.589 * [backup-simplify]: Simplify 1/2 into 1/2 28.589 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.589 * [taylor]: Taking taylor expansion of J in U 28.589 * [backup-simplify]: Simplify J into J 28.589 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.589 * [taylor]: Taking taylor expansion of U in U 28.589 * [backup-simplify]: Simplify 0 into 0 28.589 * [backup-simplify]: Simplify 1 into 1 28.589 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.589 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.589 * [taylor]: Taking taylor expansion of 1/2 in U 28.589 * [backup-simplify]: Simplify 1/2 into 1/2 28.589 * [taylor]: Taking taylor expansion of K in U 28.589 * [backup-simplify]: Simplify K into K 28.590 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.590 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.590 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.590 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.590 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.590 * [backup-simplify]: Simplify (- 0) into 0 28.590 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.590 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.590 * [backup-simplify]: Simplify (+ 0) into 0 28.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.591 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.592 * [backup-simplify]: Simplify (- 0) into 0 28.592 * [backup-simplify]: Simplify (+ 0 0) into 0 28.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.592 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.592 * [taylor]: Taking taylor expansion of 1/2 in U 28.592 * [backup-simplify]: Simplify 1/2 into 1/2 28.592 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.592 * [taylor]: Taking taylor expansion of J in U 28.592 * [backup-simplify]: Simplify J into J 28.592 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.592 * [taylor]: Taking taylor expansion of U in U 28.592 * [backup-simplify]: Simplify 0 into 0 28.592 * [backup-simplify]: Simplify 1 into 1 28.592 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.593 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.593 * [taylor]: Taking taylor expansion of 1/2 in U 28.593 * [backup-simplify]: Simplify 1/2 into 1/2 28.593 * [taylor]: Taking taylor expansion of K in U 28.593 * [backup-simplify]: Simplify K into K 28.593 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.593 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.593 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.593 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.593 * [backup-simplify]: Simplify (- 0) into 0 28.593 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.593 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.593 * [backup-simplify]: Simplify (+ 0) into 0 28.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.594 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.595 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.595 * [backup-simplify]: Simplify (- 0) into 0 28.595 * [backup-simplify]: Simplify (+ 0 0) into 0 28.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.595 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.596 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.596 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.596 * [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))) 28.596 * [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))) 28.596 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.599 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.599 * [backup-simplify]: Simplify (- 0) into 0 28.599 * [backup-simplify]: Simplify (+ 0 0) into 0 28.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.600 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.602 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.602 * [backup-simplify]: Simplify (- 0) into 0 28.602 * [backup-simplify]: Simplify (+ 0 0) into 0 28.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.603 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.604 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.604 * [backup-simplify]: Simplify (+ 0 0) into 0 28.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.604 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.604 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.604 * [taylor]: Taking taylor expansion of 1/2 in U 28.604 * [backup-simplify]: Simplify 1/2 into 1/2 28.604 * [taylor]: Taking taylor expansion of K in U 28.604 * [backup-simplify]: Simplify K into K 28.604 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.604 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.604 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.604 * [taylor]: Taking taylor expansion of J in U 28.604 * [backup-simplify]: Simplify J into J 28.604 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.604 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.605 * [backup-simplify]: Simplify (- 0) into 0 28.605 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.605 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 28.605 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 28.605 * [backup-simplify]: Simplify (* -2 1/2) into -1 28.605 * [taylor]: Taking taylor expansion of -1 in J 28.605 * [backup-simplify]: Simplify -1 into -1 28.605 * [backup-simplify]: Simplify (+ 0) into 0 28.606 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.607 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.607 * [backup-simplify]: Simplify (- 0) into 0 28.607 * [backup-simplify]: Simplify (+ 0 0) into 0 28.607 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 28.607 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 28.608 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 28.608 * [taylor]: Taking taylor expansion of 0 in J 28.608 * [backup-simplify]: Simplify 0 into 0 28.608 * [taylor]: Taking taylor expansion of -1 in K 28.608 * [backup-simplify]: Simplify -1 into -1 28.608 * [backup-simplify]: Simplify -1 into -1 28.608 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.609 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.610 * [backup-simplify]: Simplify (- 0) into 0 28.610 * [backup-simplify]: Simplify (+ 0 0) into 0 28.611 * [backup-simplify]: Simplify (* 1 1) into 1 28.611 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.619 * [backup-simplify]: Simplify (- 0) into 0 28.619 * [backup-simplify]: Simplify (+ 0 0) into 0 28.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.620 * [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 28.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.622 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.624 * [backup-simplify]: Simplify (- 0) into 0 28.624 * [backup-simplify]: Simplify (+ 0 0) into 0 28.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.625 * [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 28.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.626 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 28.626 * [backup-simplify]: Simplify (+ 1 0) into 1 28.627 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 28.627 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 28.628 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 28.628 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 28.628 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 28.628 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 28.628 * [taylor]: Taking taylor expansion of 2 in J 28.628 * [backup-simplify]: Simplify 2 into 2 28.628 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 28.628 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 28.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.628 * [taylor]: Taking taylor expansion of 1/2 in J 28.628 * [backup-simplify]: Simplify 1/2 into 1/2 28.628 * [taylor]: Taking taylor expansion of K in J 28.628 * [backup-simplify]: Simplify K into K 28.628 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.628 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.629 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.629 * [backup-simplify]: Simplify (- 0) into 0 28.629 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.629 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.629 * [taylor]: Taking taylor expansion of J in J 28.629 * [backup-simplify]: Simplify 0 into 0 28.629 * [backup-simplify]: Simplify 1 into 1 28.629 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 28.629 * [backup-simplify]: Simplify (* 1 1) into 1 28.629 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 28.630 * [backup-simplify]: Simplify (+ 0) into 0 28.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.631 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.631 * [backup-simplify]: Simplify (- 0) into 0 28.631 * [backup-simplify]: Simplify (+ 0 0) into 0 28.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 28.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 28.633 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 28.633 * [backup-simplify]: Simplify (- 0) into 0 28.633 * [taylor]: Taking taylor expansion of 0 in K 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [taylor]: Taking taylor expansion of 0 in K 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [taylor]: Taking taylor expansion of 0 in K 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [backup-simplify]: Simplify 0 into 0 28.634 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.636 * [backup-simplify]: Simplify (- 0) into 0 28.636 * [backup-simplify]: Simplify (+ 0 0) into 0 28.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.638 * [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 28.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.639 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 28.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 28.640 * [backup-simplify]: Simplify (- 0) into 0 28.640 * [backup-simplify]: Simplify (+ 0 0) into 0 28.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 28.642 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 28.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 28.644 * [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 28.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.645 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 28.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 28.646 * [backup-simplify]: Simplify (- 0) into 0 28.646 * [backup-simplify]: Simplify (+ 0 0) into 0 28.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 28.648 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 28.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 28.649 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 28.649 * [backup-simplify]: Simplify (+ 0 0) into 0 28.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.650 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.650 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 28.651 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 28.651 * [taylor]: Taking taylor expansion of 0 in J 28.651 * [backup-simplify]: Simplify 0 into 0 28.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.652 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.652 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.653 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.653 * [backup-simplify]: Simplify (- 0) into 0 28.653 * [backup-simplify]: Simplify (+ 0 0) into 0 28.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 28.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 28.656 * [backup-simplify]: Simplify (- 0) into 0 28.656 * [taylor]: Taking taylor expansion of 0 in K 28.656 * [backup-simplify]: Simplify 0 into 0 28.656 * [backup-simplify]: Simplify 0 into 0 28.656 * [taylor]: Taking taylor expansion of 0 in K 28.656 * [backup-simplify]: Simplify 0 into 0 28.656 * [backup-simplify]: Simplify 0 into 0 28.656 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 28.656 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 28.656 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 28.656 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 28.656 * [taylor]: Taking taylor expansion of 2 in K 28.656 * [backup-simplify]: Simplify 2 into 2 28.656 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 28.656 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 28.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.656 * [taylor]: Taking taylor expansion of -1/2 in K 28.656 * [backup-simplify]: Simplify -1/2 into -1/2 28.656 * [taylor]: Taking taylor expansion of K in K 28.656 * [backup-simplify]: Simplify 0 into 0 28.656 * [backup-simplify]: Simplify 1 into 1 28.657 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.657 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 28.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.657 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 28.657 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.657 * [taylor]: Taking taylor expansion of 1 in K 28.657 * [backup-simplify]: Simplify 1 into 1 28.657 * [taylor]: Taking taylor expansion of 1 in K 28.657 * [backup-simplify]: Simplify 1 into 1 28.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 28.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 28.657 * [taylor]: Taking taylor expansion of 1/2 in K 28.657 * [backup-simplify]: Simplify 1/2 into 1/2 28.657 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 28.657 * [taylor]: Taking taylor expansion of J in K 28.657 * [backup-simplify]: Simplify J into J 28.657 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 28.657 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.657 * [taylor]: Taking taylor expansion of -1/2 in K 28.657 * [backup-simplify]: Simplify -1/2 into -1/2 28.657 * [taylor]: Taking taylor expansion of K in K 28.657 * [backup-simplify]: Simplify 0 into 0 28.657 * [backup-simplify]: Simplify 1 into 1 28.657 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.657 * [taylor]: Taking taylor expansion of U in K 28.658 * [backup-simplify]: Simplify U into U 28.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.658 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 28.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 28.658 * [taylor]: Taking taylor expansion of 1/2 in K 28.658 * [backup-simplify]: Simplify 1/2 into 1/2 28.658 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 28.658 * [taylor]: Taking taylor expansion of J in K 28.658 * [backup-simplify]: Simplify J into J 28.658 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 28.658 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.658 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.658 * [taylor]: Taking taylor expansion of -1/2 in K 28.658 * [backup-simplify]: Simplify -1/2 into -1/2 28.658 * [taylor]: Taking taylor expansion of K in K 28.658 * [backup-simplify]: Simplify 0 into 0 28.658 * [backup-simplify]: Simplify 1 into 1 28.658 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.658 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.658 * [taylor]: Taking taylor expansion of U in K 28.658 * [backup-simplify]: Simplify U into U 28.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.658 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 28.659 * [backup-simplify]: Simplify (* 1 1) into 1 28.659 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 28.659 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 28.659 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 28.659 * [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))))) 28.659 * [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)))))) 28.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 28.660 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 28.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 28.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 28.661 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 28.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 28.661 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 28.662 * [backup-simplify]: Simplify (+ 0 0) into 0 28.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 28.662 * [taylor]: Taking taylor expansion of J in K 28.662 * [backup-simplify]: Simplify J into J 28.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 28.662 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 28.662 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 28.662 * [taylor]: Taking taylor expansion of 2 in J 28.662 * [backup-simplify]: Simplify 2 into 2 28.662 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 28.662 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 28.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.663 * [taylor]: Taking taylor expansion of -1/2 in J 28.663 * [backup-simplify]: Simplify -1/2 into -1/2 28.663 * [taylor]: Taking taylor expansion of K in J 28.663 * [backup-simplify]: Simplify K into K 28.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.663 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 28.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.663 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 28.663 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.663 * [taylor]: Taking taylor expansion of 1 in J 28.663 * [backup-simplify]: Simplify 1 into 1 28.663 * [taylor]: Taking taylor expansion of 1 in J 28.663 * [backup-simplify]: Simplify 1 into 1 28.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 28.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 28.663 * [taylor]: Taking taylor expansion of 1/2 in J 28.663 * [backup-simplify]: Simplify 1/2 into 1/2 28.663 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 28.663 * [taylor]: Taking taylor expansion of J in J 28.663 * [backup-simplify]: Simplify 0 into 0 28.663 * [backup-simplify]: Simplify 1 into 1 28.663 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 28.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.663 * [taylor]: Taking taylor expansion of -1/2 in J 28.663 * [backup-simplify]: Simplify -1/2 into -1/2 28.663 * [taylor]: Taking taylor expansion of K in J 28.663 * [backup-simplify]: Simplify K into K 28.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.663 * [taylor]: Taking taylor expansion of U in J 28.663 * [backup-simplify]: Simplify U into U 28.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.663 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.664 * [backup-simplify]: Simplify (- 0) into 0 28.664 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.664 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 28.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 28.664 * [taylor]: Taking taylor expansion of 1/2 in J 28.664 * [backup-simplify]: Simplify 1/2 into 1/2 28.664 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 28.664 * [taylor]: Taking taylor expansion of J in J 28.664 * [backup-simplify]: Simplify 0 into 0 28.664 * [backup-simplify]: Simplify 1 into 1 28.664 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 28.664 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.664 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.664 * [taylor]: Taking taylor expansion of -1/2 in J 28.664 * [backup-simplify]: Simplify -1/2 into -1/2 28.664 * [taylor]: Taking taylor expansion of K in J 28.664 * [backup-simplify]: Simplify K into K 28.664 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.664 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.664 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.664 * [taylor]: Taking taylor expansion of U in J 28.664 * [backup-simplify]: Simplify U into U 28.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.665 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.665 * [backup-simplify]: Simplify (- 0) into 0 28.665 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.665 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 28.665 * [backup-simplify]: Simplify (* 1 1) into 1 28.666 * [backup-simplify]: Simplify (+ 1 0) into 1 28.666 * [backup-simplify]: Simplify (sqrt 1) into 1 28.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.667 * [backup-simplify]: Simplify (+ 0 0) into 0 28.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.667 * [taylor]: Taking taylor expansion of J in J 28.667 * [backup-simplify]: Simplify 0 into 0 28.667 * [backup-simplify]: Simplify 1 into 1 28.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.667 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.667 * [backup-simplify]: Simplify (- 0) into 0 28.667 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.668 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.668 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 28.668 * [taylor]: Taking taylor expansion of 2 in U 28.668 * [backup-simplify]: Simplify 2 into 2 28.668 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 28.668 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.668 * [taylor]: Taking taylor expansion of -1/2 in U 28.668 * [backup-simplify]: Simplify -1/2 into -1/2 28.668 * [taylor]: Taking taylor expansion of K in U 28.668 * [backup-simplify]: Simplify K into K 28.668 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.668 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.668 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.668 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.668 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.668 * [taylor]: Taking taylor expansion of 1 in U 28.668 * [backup-simplify]: Simplify 1 into 1 28.668 * [taylor]: Taking taylor expansion of 1 in U 28.668 * [backup-simplify]: Simplify 1 into 1 28.668 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.668 * [taylor]: Taking taylor expansion of 1/2 in U 28.668 * [backup-simplify]: Simplify 1/2 into 1/2 28.668 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.668 * [taylor]: Taking taylor expansion of J in U 28.668 * [backup-simplify]: Simplify J into J 28.668 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.668 * [taylor]: Taking taylor expansion of -1/2 in U 28.668 * [backup-simplify]: Simplify -1/2 into -1/2 28.668 * [taylor]: Taking taylor expansion of K in U 28.668 * [backup-simplify]: Simplify K into K 28.668 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.668 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.668 * [taylor]: Taking taylor expansion of U in U 28.668 * [backup-simplify]: Simplify 0 into 0 28.668 * [backup-simplify]: Simplify 1 into 1 28.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.669 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.669 * [backup-simplify]: Simplify (- 0) into 0 28.669 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.669 * [backup-simplify]: Simplify (+ 0) into 0 28.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.671 * [backup-simplify]: Simplify (- 0) into 0 28.671 * [backup-simplify]: Simplify (+ 0 0) into 0 28.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.671 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.671 * [taylor]: Taking taylor expansion of 1/2 in U 28.671 * [backup-simplify]: Simplify 1/2 into 1/2 28.671 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.671 * [taylor]: Taking taylor expansion of J in U 28.671 * [backup-simplify]: Simplify J into J 28.671 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.671 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.671 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.671 * [taylor]: Taking taylor expansion of -1/2 in U 28.671 * [backup-simplify]: Simplify -1/2 into -1/2 28.671 * [taylor]: Taking taylor expansion of K in U 28.671 * [backup-simplify]: Simplify K into K 28.671 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.672 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.672 * [taylor]: Taking taylor expansion of U in U 28.672 * [backup-simplify]: Simplify 0 into 0 28.672 * [backup-simplify]: Simplify 1 into 1 28.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.672 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.672 * [backup-simplify]: Simplify (- 0) into 0 28.672 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.672 * [backup-simplify]: Simplify (+ 0) into 0 28.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.673 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.674 * [backup-simplify]: Simplify (- 0) into 0 28.674 * [backup-simplify]: Simplify (+ 0 0) into 0 28.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.675 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.675 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.675 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.675 * [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))) 28.675 * [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))) 28.676 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.676 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.678 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.678 * [backup-simplify]: Simplify (- 0) into 0 28.679 * [backup-simplify]: Simplify (+ 0 0) into 0 28.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.679 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.680 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.682 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.682 * [backup-simplify]: Simplify (- 0) into 0 28.683 * [backup-simplify]: Simplify (+ 0 0) into 0 28.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.683 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.684 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.684 * [backup-simplify]: Simplify (+ 0 0) into 0 28.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 28.684 * [taylor]: Taking taylor expansion of J in U 28.684 * [backup-simplify]: Simplify J into J 28.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.684 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.685 * [backup-simplify]: Simplify (- 0) into 0 28.685 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 28.685 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 28.685 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 28.685 * [taylor]: Taking taylor expansion of 2 in U 28.685 * [backup-simplify]: Simplify 2 into 2 28.685 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 28.685 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.685 * [taylor]: Taking taylor expansion of -1/2 in U 28.685 * [backup-simplify]: Simplify -1/2 into -1/2 28.685 * [taylor]: Taking taylor expansion of K in U 28.685 * [backup-simplify]: Simplify K into K 28.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.685 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.685 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.685 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.685 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.685 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.685 * [taylor]: Taking taylor expansion of 1 in U 28.685 * [backup-simplify]: Simplify 1 into 1 28.685 * [taylor]: Taking taylor expansion of 1 in U 28.685 * [backup-simplify]: Simplify 1 into 1 28.685 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.686 * [taylor]: Taking taylor expansion of 1/2 in U 28.686 * [backup-simplify]: Simplify 1/2 into 1/2 28.686 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.686 * [taylor]: Taking taylor expansion of J in U 28.686 * [backup-simplify]: Simplify J into J 28.686 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.686 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.686 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.686 * [taylor]: Taking taylor expansion of -1/2 in U 28.686 * [backup-simplify]: Simplify -1/2 into -1/2 28.686 * [taylor]: Taking taylor expansion of K in U 28.686 * [backup-simplify]: Simplify K into K 28.686 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.686 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.686 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.686 * [taylor]: Taking taylor expansion of U in U 28.686 * [backup-simplify]: Simplify 0 into 0 28.686 * [backup-simplify]: Simplify 1 into 1 28.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.686 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.686 * [backup-simplify]: Simplify (- 0) into 0 28.686 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.687 * [backup-simplify]: Simplify (+ 0) into 0 28.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.688 * [backup-simplify]: Simplify (- 0) into 0 28.688 * [backup-simplify]: Simplify (+ 0 0) into 0 28.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.689 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.689 * [taylor]: Taking taylor expansion of 1/2 in U 28.689 * [backup-simplify]: Simplify 1/2 into 1/2 28.689 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.689 * [taylor]: Taking taylor expansion of J in U 28.689 * [backup-simplify]: Simplify J into J 28.689 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.689 * [taylor]: Taking taylor expansion of -1/2 in U 28.689 * [backup-simplify]: Simplify -1/2 into -1/2 28.689 * [taylor]: Taking taylor expansion of K in U 28.689 * [backup-simplify]: Simplify K into K 28.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.689 * [taylor]: Taking taylor expansion of U in U 28.689 * [backup-simplify]: Simplify 0 into 0 28.689 * [backup-simplify]: Simplify 1 into 1 28.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.689 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.690 * [backup-simplify]: Simplify (- 0) into 0 28.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.690 * [backup-simplify]: Simplify (+ 0) into 0 28.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.691 * [backup-simplify]: Simplify (- 0) into 0 28.691 * [backup-simplify]: Simplify (+ 0 0) into 0 28.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.692 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.692 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.692 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.692 * [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))) 28.692 * [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))) 28.692 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.694 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.694 * [backup-simplify]: Simplify (- 0) into 0 28.695 * [backup-simplify]: Simplify (+ 0 0) into 0 28.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.695 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.698 * [backup-simplify]: Simplify (- 0) into 0 28.698 * [backup-simplify]: Simplify (+ 0 0) into 0 28.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.698 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.699 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.699 * [backup-simplify]: Simplify (+ 0 0) into 0 28.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 28.699 * [taylor]: Taking taylor expansion of J in U 28.699 * [backup-simplify]: Simplify J into J 28.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.699 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.700 * [backup-simplify]: Simplify (- 0) into 0 28.700 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.700 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 28.700 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 28.700 * [backup-simplify]: Simplify (* 2 1/2) into 1 28.700 * [taylor]: Taking taylor expansion of 1 in J 28.700 * [backup-simplify]: Simplify 1 into 1 28.700 * [backup-simplify]: Simplify (+ 0) into 0 28.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.702 * [backup-simplify]: Simplify (- 0) into 0 28.702 * [backup-simplify]: Simplify (+ 0 0) into 0 28.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.702 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 28.703 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 28.703 * [taylor]: Taking taylor expansion of 0 in J 28.703 * [backup-simplify]: Simplify 0 into 0 28.703 * [taylor]: Taking taylor expansion of 1 in K 28.703 * [backup-simplify]: Simplify 1 into 1 28.703 * [backup-simplify]: Simplify 1 into 1 28.703 * [backup-simplify]: Simplify (* 1 1) into 1 28.704 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.704 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.706 * [backup-simplify]: Simplify (- 0) into 0 28.707 * [backup-simplify]: Simplify (+ 0 0) into 0 28.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 28.708 * [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 28.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 28.716 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.719 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.720 * [backup-simplify]: Simplify (- 0) into 0 28.721 * [backup-simplify]: Simplify (+ 0 0) into 0 28.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 28.722 * [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 28.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 28.723 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 28.724 * [backup-simplify]: Simplify (+ 1 0) into 1 28.725 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 28.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.727 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.729 * [backup-simplify]: Simplify (- 0) into 0 28.730 * [backup-simplify]: Simplify (+ 0 0) into 0 28.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 28.731 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 28.732 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 28.732 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 28.732 * [taylor]: Taking taylor expansion of 2 in J 28.732 * [backup-simplify]: Simplify 2 into 2 28.732 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 28.732 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 28.732 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.732 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.732 * [taylor]: Taking taylor expansion of -1/2 in J 28.732 * [backup-simplify]: Simplify -1/2 into -1/2 28.732 * [taylor]: Taking taylor expansion of K in J 28.732 * [backup-simplify]: Simplify K into K 28.732 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.732 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.732 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.732 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.733 * [backup-simplify]: Simplify (- 0) into 0 28.733 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.733 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.733 * [taylor]: Taking taylor expansion of J in J 28.733 * [backup-simplify]: Simplify 0 into 0 28.733 * [backup-simplify]: Simplify 1 into 1 28.733 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 28.733 * [backup-simplify]: Simplify (* 1 1) into 1 28.733 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 28.734 * [backup-simplify]: Simplify (+ 0) into 0 28.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.736 * [backup-simplify]: Simplify (- 0) into 0 28.736 * [backup-simplify]: Simplify (+ 0 0) into 0 28.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 28.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 28.739 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 28.739 * [taylor]: Taking taylor expansion of 0 in K 28.739 * [backup-simplify]: Simplify 0 into 0 28.739 * [backup-simplify]: Simplify 0 into 0 28.739 * [taylor]: Taking taylor expansion of 0 in K 28.739 * [backup-simplify]: Simplify 0 into 0 28.739 * [backup-simplify]: Simplify 0 into 0 28.739 * [taylor]: Taking taylor expansion of 0 in K 28.739 * [backup-simplify]: Simplify 0 into 0 28.739 * [backup-simplify]: Simplify 0 into 0 28.739 * [backup-simplify]: Simplify 0 into 0 28.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.742 * [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 28.743 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.743 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 28.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 28.746 * [backup-simplify]: Simplify (- 0) into 0 28.746 * [backup-simplify]: Simplify (+ 0 0) into 0 28.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.748 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 28.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 28.751 * [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 28.753 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.754 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 28.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 28.756 * [backup-simplify]: Simplify (- 0) into 0 28.756 * [backup-simplify]: Simplify (+ 0 0) into 0 28.757 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.757 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 28.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 28.760 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 28.760 * [backup-simplify]: Simplify (+ 0 0) into 0 28.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.762 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.763 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.765 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.766 * [backup-simplify]: Simplify (- 0) into 0 28.766 * [backup-simplify]: Simplify (+ 0 0) into 0 28.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 28.767 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 28.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 28.769 * [taylor]: Taking taylor expansion of 0 in J 28.769 * [backup-simplify]: Simplify 0 into 0 28.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.771 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.772 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.772 * [backup-simplify]: Simplify (- 0) into 0 28.773 * [backup-simplify]: Simplify (+ 0 0) into 0 28.773 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 28.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 28.777 * [taylor]: Taking taylor expansion of 0 in K 28.777 * [backup-simplify]: Simplify 0 into 0 28.777 * [backup-simplify]: Simplify 0 into 0 28.777 * [taylor]: Taking taylor expansion of 0 in K 28.777 * [backup-simplify]: Simplify 0 into 0 28.777 * [backup-simplify]: Simplify 0 into 0 28.777 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 28.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 28.778 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 28.778 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 28.778 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 28.778 * [taylor]: Taking taylor expansion of -2 in K 28.778 * [backup-simplify]: Simplify -2 into -2 28.778 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 28.778 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.778 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.778 * [taylor]: Taking taylor expansion of 1/2 in K 28.778 * [backup-simplify]: Simplify 1/2 into 1/2 28.778 * [taylor]: Taking taylor expansion of K in K 28.778 * [backup-simplify]: Simplify 0 into 0 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.779 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.779 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 28.779 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.779 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.779 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 28.779 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.779 * [taylor]: Taking taylor expansion of 1 in K 28.780 * [backup-simplify]: Simplify 1 into 1 28.780 * [taylor]: Taking taylor expansion of 1 in K 28.780 * [backup-simplify]: Simplify 1 into 1 28.780 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.780 * [taylor]: Taking taylor expansion of 1/2 in K 28.780 * [backup-simplify]: Simplify 1/2 into 1/2 28.780 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.780 * [taylor]: Taking taylor expansion of U in K 28.780 * [backup-simplify]: Simplify U into U 28.780 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.780 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.780 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.780 * [taylor]: Taking taylor expansion of 1/2 in K 28.780 * [backup-simplify]: Simplify 1/2 into 1/2 28.780 * [taylor]: Taking taylor expansion of K in K 28.780 * [backup-simplify]: Simplify 0 into 0 28.780 * [backup-simplify]: Simplify 1 into 1 28.780 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.781 * [taylor]: Taking taylor expansion of J in K 28.781 * [backup-simplify]: Simplify J into J 28.781 * [backup-simplify]: Simplify (* 1 J) into J 28.781 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.782 * [taylor]: Taking taylor expansion of 1/2 in K 28.782 * [backup-simplify]: Simplify 1/2 into 1/2 28.782 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.782 * [taylor]: Taking taylor expansion of U in K 28.782 * [backup-simplify]: Simplify U into U 28.782 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.782 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.782 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.782 * [taylor]: Taking taylor expansion of 1/2 in K 28.782 * [backup-simplify]: Simplify 1/2 into 1/2 28.782 * [taylor]: Taking taylor expansion of K in K 28.782 * [backup-simplify]: Simplify 0 into 0 28.782 * [backup-simplify]: Simplify 1 into 1 28.782 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.783 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.783 * [taylor]: Taking taylor expansion of J in K 28.783 * [backup-simplify]: Simplify J into J 28.783 * [backup-simplify]: Simplify (* 1 J) into J 28.783 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.784 * [backup-simplify]: Simplify (* 1 1) into 1 28.784 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.784 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.784 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 28.784 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 28.785 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 28.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.786 * [backup-simplify]: Simplify (+ 0) into 0 28.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.787 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.788 * [backup-simplify]: Simplify (+ 0) into 0 28.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.788 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.789 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 28.789 * [backup-simplify]: Simplify (+ 0 0) into 0 28.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 28.790 * [taylor]: Taking taylor expansion of J in K 28.790 * [backup-simplify]: Simplify J into J 28.790 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 28.790 * [taylor]: Taking taylor expansion of -2 in J 28.790 * [backup-simplify]: Simplify -2 into -2 28.790 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 28.790 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.790 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.790 * [taylor]: Taking taylor expansion of 1/2 in J 28.790 * [backup-simplify]: Simplify 1/2 into 1/2 28.790 * [taylor]: Taking taylor expansion of K in J 28.790 * [backup-simplify]: Simplify K into K 28.790 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.790 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.790 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.790 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 28.790 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.790 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 28.791 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.791 * [taylor]: Taking taylor expansion of 1 in J 28.791 * [backup-simplify]: Simplify 1 into 1 28.791 * [taylor]: Taking taylor expansion of 1 in J 28.791 * [backup-simplify]: Simplify 1 into 1 28.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.791 * [taylor]: Taking taylor expansion of 1/2 in J 28.791 * [backup-simplify]: Simplify 1/2 into 1/2 28.791 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.791 * [taylor]: Taking taylor expansion of U in J 28.791 * [backup-simplify]: Simplify U into U 28.791 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.791 * [taylor]: Taking taylor expansion of 1/2 in J 28.791 * [backup-simplify]: Simplify 1/2 into 1/2 28.791 * [taylor]: Taking taylor expansion of K in J 28.791 * [backup-simplify]: Simplify K into K 28.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.791 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.791 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.791 * [taylor]: Taking taylor expansion of J in J 28.791 * [backup-simplify]: Simplify 0 into 0 28.791 * [backup-simplify]: Simplify 1 into 1 28.791 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.791 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.792 * [backup-simplify]: Simplify (- 0) into 0 28.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.793 * [backup-simplify]: Simplify (+ 0) into 0 28.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.795 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.795 * [backup-simplify]: Simplify (- 0) into 0 28.796 * [backup-simplify]: Simplify (+ 0 0) into 0 28.796 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.796 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.796 * [taylor]: Taking taylor expansion of 1/2 in J 28.796 * [backup-simplify]: Simplify 1/2 into 1/2 28.796 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.796 * [taylor]: Taking taylor expansion of U in J 28.796 * [backup-simplify]: Simplify U into U 28.797 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.797 * [taylor]: Taking taylor expansion of 1/2 in J 28.797 * [backup-simplify]: Simplify 1/2 into 1/2 28.797 * [taylor]: Taking taylor expansion of K in J 28.797 * [backup-simplify]: Simplify K into K 28.797 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.797 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.797 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.797 * [taylor]: Taking taylor expansion of J in J 28.797 * [backup-simplify]: Simplify 0 into 0 28.797 * [backup-simplify]: Simplify 1 into 1 28.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.797 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.798 * [backup-simplify]: Simplify (- 0) into 0 28.798 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.798 * [backup-simplify]: Simplify (+ 0) into 0 28.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.800 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.801 * [backup-simplify]: Simplify (- 0) into 0 28.801 * [backup-simplify]: Simplify (+ 0 0) into 0 28.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.802 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.802 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.802 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.802 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 28.802 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 28.803 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.806 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.806 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.807 * [backup-simplify]: Simplify (- 0) into 0 28.807 * [backup-simplify]: Simplify (+ 0 0) into 0 28.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.808 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.810 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.812 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.813 * [backup-simplify]: Simplify (- 0) into 0 28.813 * [backup-simplify]: Simplify (+ 0 0) into 0 28.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.814 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.815 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 28.815 * [backup-simplify]: Simplify (+ 0 0) into 0 28.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 28.815 * [taylor]: Taking taylor expansion of J in J 28.816 * [backup-simplify]: Simplify 0 into 0 28.816 * [backup-simplify]: Simplify 1 into 1 28.816 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 28.816 * [taylor]: Taking taylor expansion of -2 in U 28.816 * [backup-simplify]: Simplify -2 into -2 28.816 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 28.816 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.816 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.816 * [taylor]: Taking taylor expansion of 1/2 in U 28.816 * [backup-simplify]: Simplify 1/2 into 1/2 28.816 * [taylor]: Taking taylor expansion of K in U 28.816 * [backup-simplify]: Simplify K into K 28.816 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.816 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.816 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.816 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 28.816 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.816 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.816 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.816 * [taylor]: Taking taylor expansion of 1 in U 28.816 * [backup-simplify]: Simplify 1 into 1 28.816 * [taylor]: Taking taylor expansion of 1 in U 28.816 * [backup-simplify]: Simplify 1 into 1 28.816 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.817 * [taylor]: Taking taylor expansion of 1/2 in U 28.817 * [backup-simplify]: Simplify 1/2 into 1/2 28.817 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.817 * [taylor]: Taking taylor expansion of U in U 28.817 * [backup-simplify]: Simplify 0 into 0 28.817 * [backup-simplify]: Simplify 1 into 1 28.817 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.817 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.817 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.817 * [taylor]: Taking taylor expansion of 1/2 in U 28.817 * [backup-simplify]: Simplify 1/2 into 1/2 28.817 * [taylor]: Taking taylor expansion of K in U 28.817 * [backup-simplify]: Simplify K into K 28.817 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.817 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.817 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.817 * [taylor]: Taking taylor expansion of J in U 28.817 * [backup-simplify]: Simplify J into J 28.817 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.817 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.818 * [backup-simplify]: Simplify (- 0) into 0 28.818 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.818 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.818 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.818 * [taylor]: Taking taylor expansion of 1/2 in U 28.818 * [backup-simplify]: Simplify 1/2 into 1/2 28.818 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.818 * [taylor]: Taking taylor expansion of U in U 28.818 * [backup-simplify]: Simplify 0 into 0 28.818 * [backup-simplify]: Simplify 1 into 1 28.818 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.818 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.818 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.818 * [taylor]: Taking taylor expansion of 1/2 in U 28.818 * [backup-simplify]: Simplify 1/2 into 1/2 28.818 * [taylor]: Taking taylor expansion of K in U 28.818 * [backup-simplify]: Simplify K into K 28.818 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.818 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.818 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.818 * [taylor]: Taking taylor expansion of J in U 28.819 * [backup-simplify]: Simplify J into J 28.819 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.819 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.819 * [backup-simplify]: Simplify (- 0) into 0 28.819 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.819 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.819 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.820 * [backup-simplify]: Simplify (* 1 1) into 1 28.820 * [backup-simplify]: Simplify (+ 1 0) into 1 28.820 * [backup-simplify]: Simplify (sqrt 1) into 1 28.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.821 * [backup-simplify]: Simplify (+ 0 0) into 0 28.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.822 * [taylor]: Taking taylor expansion of J in U 28.822 * [backup-simplify]: Simplify J into J 28.822 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 28.822 * [taylor]: Taking taylor expansion of -2 in U 28.823 * [backup-simplify]: Simplify -2 into -2 28.823 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 28.823 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.823 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.823 * [taylor]: Taking taylor expansion of 1/2 in U 28.823 * [backup-simplify]: Simplify 1/2 into 1/2 28.823 * [taylor]: Taking taylor expansion of K in U 28.823 * [backup-simplify]: Simplify K into K 28.823 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.823 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.823 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.823 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 28.823 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.823 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.823 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.823 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.823 * [taylor]: Taking taylor expansion of 1 in U 28.823 * [backup-simplify]: Simplify 1 into 1 28.823 * [taylor]: Taking taylor expansion of 1 in U 28.823 * [backup-simplify]: Simplify 1 into 1 28.823 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.823 * [taylor]: Taking taylor expansion of 1/2 in U 28.823 * [backup-simplify]: Simplify 1/2 into 1/2 28.823 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.823 * [taylor]: Taking taylor expansion of U in U 28.823 * [backup-simplify]: Simplify 0 into 0 28.823 * [backup-simplify]: Simplify 1 into 1 28.823 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.823 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.823 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.823 * [taylor]: Taking taylor expansion of 1/2 in U 28.824 * [backup-simplify]: Simplify 1/2 into 1/2 28.824 * [taylor]: Taking taylor expansion of K in U 28.824 * [backup-simplify]: Simplify K into K 28.824 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.824 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.824 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.824 * [taylor]: Taking taylor expansion of J in U 28.824 * [backup-simplify]: Simplify J into J 28.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.824 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.824 * [backup-simplify]: Simplify (- 0) into 0 28.824 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.825 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.825 * [taylor]: Taking taylor expansion of 1/2 in U 28.825 * [backup-simplify]: Simplify 1/2 into 1/2 28.825 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.825 * [taylor]: Taking taylor expansion of U in U 28.825 * [backup-simplify]: Simplify 0 into 0 28.825 * [backup-simplify]: Simplify 1 into 1 28.825 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.825 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.825 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.825 * [taylor]: Taking taylor expansion of 1/2 in U 28.825 * [backup-simplify]: Simplify 1/2 into 1/2 28.825 * [taylor]: Taking taylor expansion of K in U 28.825 * [backup-simplify]: Simplify K into K 28.825 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.825 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.825 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.825 * [taylor]: Taking taylor expansion of J in U 28.825 * [backup-simplify]: Simplify J into J 28.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.825 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.825 * [backup-simplify]: Simplify (- 0) into 0 28.826 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.826 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.826 * [backup-simplify]: Simplify (* 1 1) into 1 28.826 * [backup-simplify]: Simplify (+ 1 0) into 1 28.826 * [backup-simplify]: Simplify (sqrt 1) into 1 28.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.827 * [backup-simplify]: Simplify (+ 0 0) into 0 28.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.827 * [taylor]: Taking taylor expansion of J in U 28.827 * [backup-simplify]: Simplify J into J 28.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.828 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.828 * [backup-simplify]: Simplify (- 0) into 0 28.828 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.828 * [backup-simplify]: Simplify (* 1 J) into J 28.828 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.828 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 28.828 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 28.828 * [taylor]: Taking taylor expansion of -2 in J 28.828 * [backup-simplify]: Simplify -2 into -2 28.828 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.828 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.828 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.828 * [taylor]: Taking taylor expansion of 1/2 in J 28.828 * [backup-simplify]: Simplify 1/2 into 1/2 28.828 * [taylor]: Taking taylor expansion of K in J 28.828 * [backup-simplify]: Simplify K into K 28.828 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.828 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.828 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.828 * [taylor]: Taking taylor expansion of J in J 28.828 * [backup-simplify]: Simplify 0 into 0 28.828 * [backup-simplify]: Simplify 1 into 1 28.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.829 * [backup-simplify]: Simplify (+ 0) into 0 28.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.830 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.830 * [backup-simplify]: Simplify (- 0) into 0 28.831 * [backup-simplify]: Simplify (+ 0 0) into 0 28.831 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.831 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 28.831 * [taylor]: Taking taylor expansion of 0 in J 28.831 * [backup-simplify]: Simplify 0 into 0 28.831 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.831 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.832 * [backup-simplify]: Simplify (- 0) into 0 28.832 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.832 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.832 * [backup-simplify]: Simplify (* -2 0) into 0 28.832 * [taylor]: Taking taylor expansion of 0 in K 28.832 * [backup-simplify]: Simplify 0 into 0 28.832 * [backup-simplify]: Simplify 0 into 0 28.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.833 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.833 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.833 * [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))) 28.833 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 28.834 * [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))) 28.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 28.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.837 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.837 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.837 * [backup-simplify]: Simplify (- 0) into 0 28.837 * [backup-simplify]: Simplify (+ 0 0) into 0 28.838 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 28.838 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 28.838 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 28.838 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 28.838 * [taylor]: Taking taylor expansion of 1/4 in J 28.838 * [backup-simplify]: Simplify 1/4 into 1/4 28.838 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 28.838 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.838 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.838 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.838 * [taylor]: Taking taylor expansion of 1/2 in J 28.838 * [backup-simplify]: Simplify 1/2 into 1/2 28.838 * [taylor]: Taking taylor expansion of K in J 28.838 * [backup-simplify]: Simplify K into K 28.838 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.838 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.838 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.839 * [taylor]: Taking taylor expansion of J in J 28.839 * [backup-simplify]: Simplify 0 into 0 28.839 * [backup-simplify]: Simplify 1 into 1 28.839 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.839 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.839 * [backup-simplify]: Simplify (- 0) into 0 28.839 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.839 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.839 * [backup-simplify]: Simplify (+ 0) into 0 28.840 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.841 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.841 * [backup-simplify]: Simplify (- 0) into 0 28.841 * [backup-simplify]: Simplify (+ 0 0) into 0 28.841 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.841 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 28.841 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 28.842 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 28.842 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 28.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 28.842 * [taylor]: Taking taylor expansion of 1/4 in K 28.842 * [backup-simplify]: Simplify 1/4 into 1/4 28.842 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 28.842 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.842 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.842 * [taylor]: Taking taylor expansion of 1/2 in K 28.842 * [backup-simplify]: Simplify 1/2 into 1/2 28.842 * [taylor]: Taking taylor expansion of K in K 28.842 * [backup-simplify]: Simplify 0 into 0 28.842 * [backup-simplify]: Simplify 1 into 1 28.842 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.842 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.843 * [backup-simplify]: Simplify (/ 1 1) into 1 28.843 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 28.843 * [backup-simplify]: Simplify (- 1/4) into -1/4 28.843 * [backup-simplify]: Simplify -1/4 into -1/4 28.843 * [taylor]: Taking taylor expansion of 0 in K 28.843 * [backup-simplify]: Simplify 0 into 0 28.843 * [backup-simplify]: Simplify 0 into 0 28.843 * [backup-simplify]: Simplify (+ 0) into 0 28.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.845 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.845 * [backup-simplify]: Simplify (- 0) into 0 28.845 * [backup-simplify]: Simplify (+ 0 0) into 0 28.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.846 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 28.846 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 28.846 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 28.846 * [taylor]: Taking taylor expansion of 2 in K 28.846 * [backup-simplify]: Simplify 2 into 2 28.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.846 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.846 * [taylor]: Taking taylor expansion of 1/2 in K 28.846 * [backup-simplify]: Simplify 1/2 into 1/2 28.846 * [taylor]: Taking taylor expansion of K in K 28.846 * [backup-simplify]: Simplify 0 into 0 28.846 * [backup-simplify]: Simplify 1 into 1 28.846 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.847 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.847 * [backup-simplify]: Simplify (* 2 1) into 2 28.847 * [backup-simplify]: Simplify (- 2) into -2 28.847 * [backup-simplify]: Simplify -2 into -2 28.847 * [backup-simplify]: Simplify 0 into 0 28.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.848 * [backup-simplify]: Simplify (+ 0) into 0 28.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.853 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.854 * [backup-simplify]: Simplify (- 0) into 0 28.854 * [backup-simplify]: Simplify (+ 0 0) into 0 28.854 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.855 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.856 * [backup-simplify]: Simplify (+ 0) into 0 28.856 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.858 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.858 * [backup-simplify]: Simplify (- 0) into 0 28.859 * [backup-simplify]: Simplify (+ 0 0) into 0 28.859 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.859 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.860 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 28.861 * [backup-simplify]: Simplify (+ 0 0) into 0 28.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 28.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 28.863 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.864 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 28.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.867 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.868 * [backup-simplify]: Simplify (- 0) into 0 28.868 * [backup-simplify]: Simplify (+ 0 0) into 0 28.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 28.870 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 28.870 * [taylor]: Taking taylor expansion of 0 in J 28.870 * [backup-simplify]: Simplify 0 into 0 28.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.871 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.874 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.874 * [backup-simplify]: Simplify (- 0) into 0 28.874 * [backup-simplify]: Simplify (+ 0 0) into 0 28.875 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.876 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 28.876 * [backup-simplify]: Simplify (- 0) into 0 28.876 * [taylor]: Taking taylor expansion of 0 in K 28.876 * [backup-simplify]: Simplify 0 into 0 28.876 * [backup-simplify]: Simplify 0 into 0 28.876 * [taylor]: Taking taylor expansion of 0 in K 28.876 * [backup-simplify]: Simplify 0 into 0 28.876 * [backup-simplify]: Simplify 0 into 0 28.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.878 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.880 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.880 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.881 * [backup-simplify]: Simplify (- 0) into 0 28.881 * [backup-simplify]: Simplify (+ 0 0) into 0 28.882 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 28.883 * [taylor]: Taking taylor expansion of 0 in K 28.883 * [backup-simplify]: Simplify 0 into 0 28.883 * [backup-simplify]: Simplify 0 into 0 28.883 * [backup-simplify]: Simplify (+ 0) into 0 28.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.884 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 28.885 * [backup-simplify]: Simplify (- 0) into 0 28.885 * [backup-simplify]: Simplify 0 into 0 28.885 * [backup-simplify]: Simplify 0 into 0 28.885 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 28.887 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 28.887 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 28.887 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 28.887 * [taylor]: Taking taylor expansion of -2 in K 28.887 * [backup-simplify]: Simplify -2 into -2 28.887 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 28.887 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 28.887 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.887 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.887 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 28.887 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.887 * [taylor]: Taking taylor expansion of 1 in K 28.887 * [backup-simplify]: Simplify 1 into 1 28.887 * [taylor]: Taking taylor expansion of 1 in K 28.887 * [backup-simplify]: Simplify 1 into 1 28.887 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.888 * [taylor]: Taking taylor expansion of 1/2 in K 28.888 * [backup-simplify]: Simplify 1/2 into 1/2 28.888 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.888 * [taylor]: Taking taylor expansion of J in K 28.888 * [backup-simplify]: Simplify J into J 28.888 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.888 * [taylor]: Taking taylor expansion of U in K 28.888 * [backup-simplify]: Simplify U into U 28.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.888 * [taylor]: Taking taylor expansion of 1/2 in K 28.888 * [backup-simplify]: Simplify 1/2 into 1/2 28.888 * [taylor]: Taking taylor expansion of K in K 28.888 * [backup-simplify]: Simplify 0 into 0 28.888 * [backup-simplify]: Simplify 1 into 1 28.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.889 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.889 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.889 * [taylor]: Taking taylor expansion of 1/2 in K 28.889 * [backup-simplify]: Simplify 1/2 into 1/2 28.889 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.889 * [taylor]: Taking taylor expansion of J in K 28.889 * [backup-simplify]: Simplify J into J 28.889 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.889 * [taylor]: Taking taylor expansion of U in K 28.889 * [backup-simplify]: Simplify U into U 28.889 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.889 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.889 * [taylor]: Taking taylor expansion of 1/2 in K 28.889 * [backup-simplify]: Simplify 1/2 into 1/2 28.889 * [taylor]: Taking taylor expansion of K in K 28.889 * [backup-simplify]: Simplify 0 into 0 28.889 * [backup-simplify]: Simplify 1 into 1 28.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.890 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.890 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.890 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.890 * [backup-simplify]: Simplify (* 1 1) into 1 28.891 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.891 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.891 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 28.891 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 28.892 * [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)) 28.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.893 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.893 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.894 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.894 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.895 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 28.896 * [backup-simplify]: Simplify (+ 0 0) into 0 28.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 28.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.896 * [taylor]: Taking taylor expansion of 1/2 in K 28.896 * [backup-simplify]: Simplify 1/2 into 1/2 28.896 * [taylor]: Taking taylor expansion of K in K 28.896 * [backup-simplify]: Simplify 0 into 0 28.896 * [backup-simplify]: Simplify 1 into 1 28.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.897 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.897 * [taylor]: Taking taylor expansion of J in K 28.897 * [backup-simplify]: Simplify J into J 28.897 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 28.898 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 28.898 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 28.898 * [taylor]: Taking taylor expansion of -2 in J 28.898 * [backup-simplify]: Simplify -2 into -2 28.898 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 28.898 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 28.898 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.898 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 28.898 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.898 * [taylor]: Taking taylor expansion of 1 in J 28.898 * [backup-simplify]: Simplify 1 into 1 28.898 * [taylor]: Taking taylor expansion of 1 in J 28.898 * [backup-simplify]: Simplify 1 into 1 28.898 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.898 * [taylor]: Taking taylor expansion of 1/2 in J 28.898 * [backup-simplify]: Simplify 1/2 into 1/2 28.898 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.898 * [taylor]: Taking taylor expansion of J in J 28.898 * [backup-simplify]: Simplify 0 into 0 28.898 * [backup-simplify]: Simplify 1 into 1 28.898 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.898 * [taylor]: Taking taylor expansion of U in J 28.898 * [backup-simplify]: Simplify U into U 28.898 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.898 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.898 * [taylor]: Taking taylor expansion of 1/2 in J 28.898 * [backup-simplify]: Simplify 1/2 into 1/2 28.898 * [taylor]: Taking taylor expansion of K in J 28.899 * [backup-simplify]: Simplify K into K 28.899 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.899 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.899 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.899 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.899 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.899 * [backup-simplify]: Simplify (- 0) into 0 28.899 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.899 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.900 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.900 * [taylor]: Taking taylor expansion of 1/2 in J 28.900 * [backup-simplify]: Simplify 1/2 into 1/2 28.900 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.900 * [taylor]: Taking taylor expansion of J in J 28.900 * [backup-simplify]: Simplify 0 into 0 28.900 * [backup-simplify]: Simplify 1 into 1 28.900 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.900 * [taylor]: Taking taylor expansion of U in J 28.900 * [backup-simplify]: Simplify U into U 28.900 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.900 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.900 * [taylor]: Taking taylor expansion of 1/2 in J 28.900 * [backup-simplify]: Simplify 1/2 into 1/2 28.900 * [taylor]: Taking taylor expansion of K in J 28.900 * [backup-simplify]: Simplify K into K 28.900 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.900 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.900 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.900 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.900 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.901 * [backup-simplify]: Simplify (- 0) into 0 28.901 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.901 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.901 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.901 * [backup-simplify]: Simplify (* 1 1) into 1 28.902 * [backup-simplify]: Simplify (+ 1 0) into 1 28.902 * [backup-simplify]: Simplify (sqrt 1) into 1 28.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.903 * [backup-simplify]: Simplify (+ 0 0) into 0 28.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.904 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.904 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.904 * [taylor]: Taking taylor expansion of 1/2 in J 28.904 * [backup-simplify]: Simplify 1/2 into 1/2 28.904 * [taylor]: Taking taylor expansion of K in J 28.904 * [backup-simplify]: Simplify K into K 28.904 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.904 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.904 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.904 * [taylor]: Taking taylor expansion of J in J 28.904 * [backup-simplify]: Simplify 0 into 0 28.904 * [backup-simplify]: Simplify 1 into 1 28.904 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.905 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.905 * [backup-simplify]: Simplify (- 0) into 0 28.905 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.905 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 28.905 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.905 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 28.905 * [taylor]: Taking taylor expansion of -2 in U 28.905 * [backup-simplify]: Simplify -2 into -2 28.905 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 28.905 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 28.905 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.905 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.905 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.905 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.906 * [taylor]: Taking taylor expansion of 1 in U 28.906 * [backup-simplify]: Simplify 1 into 1 28.906 * [taylor]: Taking taylor expansion of 1 in U 28.906 * [backup-simplify]: Simplify 1 into 1 28.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.906 * [taylor]: Taking taylor expansion of 1/2 in U 28.906 * [backup-simplify]: Simplify 1/2 into 1/2 28.906 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.906 * [taylor]: Taking taylor expansion of J in U 28.906 * [backup-simplify]: Simplify J into J 28.906 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.906 * [taylor]: Taking taylor expansion of U in U 28.906 * [backup-simplify]: Simplify 0 into 0 28.906 * [backup-simplify]: Simplify 1 into 1 28.906 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.906 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.906 * [taylor]: Taking taylor expansion of 1/2 in U 28.906 * [backup-simplify]: Simplify 1/2 into 1/2 28.906 * [taylor]: Taking taylor expansion of K in U 28.906 * [backup-simplify]: Simplify K into K 28.906 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.906 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.906 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.906 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.906 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.907 * [backup-simplify]: Simplify (- 0) into 0 28.907 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.907 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.907 * [backup-simplify]: Simplify (+ 0) into 0 28.908 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.908 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.910 * [backup-simplify]: Simplify (- 0) into 0 28.910 * [backup-simplify]: Simplify (+ 0 0) into 0 28.910 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.911 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.911 * [taylor]: Taking taylor expansion of 1/2 in U 28.911 * [backup-simplify]: Simplify 1/2 into 1/2 28.911 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.911 * [taylor]: Taking taylor expansion of J in U 28.911 * [backup-simplify]: Simplify J into J 28.911 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.911 * [taylor]: Taking taylor expansion of U in U 28.911 * [backup-simplify]: Simplify 0 into 0 28.911 * [backup-simplify]: Simplify 1 into 1 28.911 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.911 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.911 * [taylor]: Taking taylor expansion of 1/2 in U 28.911 * [backup-simplify]: Simplify 1/2 into 1/2 28.911 * [taylor]: Taking taylor expansion of K in U 28.911 * [backup-simplify]: Simplify K into K 28.911 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.911 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.911 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.911 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.911 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.912 * [backup-simplify]: Simplify (- 0) into 0 28.912 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.912 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.912 * [backup-simplify]: Simplify (+ 0) into 0 28.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.913 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.914 * [backup-simplify]: Simplify (- 0) into 0 28.915 * [backup-simplify]: Simplify (+ 0 0) into 0 28.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.915 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.915 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.915 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.916 * [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))) 28.916 * [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))) 28.916 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.920 * [backup-simplify]: Simplify (- 0) into 0 28.920 * [backup-simplify]: Simplify (+ 0 0) into 0 28.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.921 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.925 * [backup-simplify]: Simplify (- 0) into 0 28.925 * [backup-simplify]: Simplify (+ 0 0) into 0 28.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.927 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.927 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.928 * [backup-simplify]: Simplify (+ 0 0) into 0 28.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.928 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.928 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.928 * [taylor]: Taking taylor expansion of 1/2 in U 28.928 * [backup-simplify]: Simplify 1/2 into 1/2 28.928 * [taylor]: Taking taylor expansion of K in U 28.928 * [backup-simplify]: Simplify K into K 28.928 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.928 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.928 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.928 * [taylor]: Taking taylor expansion of J in U 28.928 * [backup-simplify]: Simplify J into J 28.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.929 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.929 * [backup-simplify]: Simplify (- 0) into 0 28.929 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.929 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 28.929 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 28.929 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 28.929 * [taylor]: Taking taylor expansion of -2 in U 28.929 * [backup-simplify]: Simplify -2 into -2 28.929 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 28.929 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 28.929 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.930 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.930 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.930 * [taylor]: Taking taylor expansion of 1 in U 28.930 * [backup-simplify]: Simplify 1 into 1 28.930 * [taylor]: Taking taylor expansion of 1 in U 28.930 * [backup-simplify]: Simplify 1 into 1 28.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.930 * [taylor]: Taking taylor expansion of 1/2 in U 28.930 * [backup-simplify]: Simplify 1/2 into 1/2 28.930 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.930 * [taylor]: Taking taylor expansion of J in U 28.930 * [backup-simplify]: Simplify J into J 28.930 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.930 * [taylor]: Taking taylor expansion of U in U 28.930 * [backup-simplify]: Simplify 0 into 0 28.930 * [backup-simplify]: Simplify 1 into 1 28.930 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.930 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.930 * [taylor]: Taking taylor expansion of 1/2 in U 28.930 * [backup-simplify]: Simplify 1/2 into 1/2 28.930 * [taylor]: Taking taylor expansion of K in U 28.930 * [backup-simplify]: Simplify K into K 28.930 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.930 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.930 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.930 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.930 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.931 * [backup-simplify]: Simplify (- 0) into 0 28.931 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.931 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.931 * [backup-simplify]: Simplify (+ 0) into 0 28.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.933 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.934 * [backup-simplify]: Simplify (- 0) into 0 28.934 * [backup-simplify]: Simplify (+ 0 0) into 0 28.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.935 * [taylor]: Taking taylor expansion of 1/2 in U 28.935 * [backup-simplify]: Simplify 1/2 into 1/2 28.935 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.935 * [taylor]: Taking taylor expansion of J in U 28.935 * [backup-simplify]: Simplify J into J 28.935 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.935 * [taylor]: Taking taylor expansion of U in U 28.935 * [backup-simplify]: Simplify 0 into 0 28.935 * [backup-simplify]: Simplify 1 into 1 28.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.935 * [taylor]: Taking taylor expansion of 1/2 in U 28.935 * [backup-simplify]: Simplify 1/2 into 1/2 28.935 * [taylor]: Taking taylor expansion of K in U 28.935 * [backup-simplify]: Simplify K into K 28.935 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.935 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.936 * [backup-simplify]: Simplify (- 0) into 0 28.936 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.936 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.936 * [backup-simplify]: Simplify (+ 0) into 0 28.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.938 * [backup-simplify]: Simplify (- 0) into 0 28.939 * [backup-simplify]: Simplify (+ 0 0) into 0 28.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.939 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.939 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.939 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.940 * [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))) 28.940 * [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))) 28.940 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.941 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.944 * [backup-simplify]: Simplify (- 0) into 0 28.944 * [backup-simplify]: Simplify (+ 0 0) into 0 28.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.945 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.948 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.949 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.950 * [backup-simplify]: Simplify (- 0) into 0 28.950 * [backup-simplify]: Simplify (+ 0 0) into 0 28.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.951 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.952 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.953 * [backup-simplify]: Simplify (+ 0 0) into 0 28.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.953 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.953 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.953 * [taylor]: Taking taylor expansion of 1/2 in U 28.953 * [backup-simplify]: Simplify 1/2 into 1/2 28.953 * [taylor]: Taking taylor expansion of K in U 28.953 * [backup-simplify]: Simplify K into K 28.953 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.953 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.953 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.953 * [taylor]: Taking taylor expansion of J in U 28.953 * [backup-simplify]: Simplify J into J 28.954 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.954 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.954 * [backup-simplify]: Simplify (- 0) into 0 28.954 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.954 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 28.955 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 28.955 * [backup-simplify]: Simplify (* -2 1/2) into -1 28.955 * [taylor]: Taking taylor expansion of -1 in J 28.955 * [backup-simplify]: Simplify -1 into -1 28.956 * [backup-simplify]: Simplify (+ 0) into 0 28.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.958 * [backup-simplify]: Simplify (- 0) into 0 28.959 * [backup-simplify]: Simplify (+ 0 0) into 0 28.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 28.959 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 28.960 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 28.960 * [taylor]: Taking taylor expansion of 0 in J 28.960 * [backup-simplify]: Simplify 0 into 0 28.960 * [taylor]: Taking taylor expansion of -1 in K 28.960 * [backup-simplify]: Simplify -1 into -1 28.960 * [backup-simplify]: Simplify -1 into -1 28.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.962 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.964 * [backup-simplify]: Simplify (- 0) into 0 28.964 * [backup-simplify]: Simplify (+ 0 0) into 0 28.964 * [backup-simplify]: Simplify (* 1 1) into 1 28.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.969 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.969 * [backup-simplify]: Simplify (- 0) into 0 28.970 * [backup-simplify]: Simplify (+ 0 0) into 0 28.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.971 * [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 28.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.974 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.977 * [backup-simplify]: Simplify (- 0) into 0 28.977 * [backup-simplify]: Simplify (+ 0 0) into 0 28.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.978 * [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 28.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.979 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 28.979 * [backup-simplify]: Simplify (+ 1 0) into 1 28.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 28.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 28.981 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 28.981 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 28.981 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 28.981 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 28.981 * [taylor]: Taking taylor expansion of 2 in J 28.981 * [backup-simplify]: Simplify 2 into 2 28.981 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 28.981 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 28.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.981 * [taylor]: Taking taylor expansion of 1/2 in J 28.981 * [backup-simplify]: Simplify 1/2 into 1/2 28.981 * [taylor]: Taking taylor expansion of K in J 28.981 * [backup-simplify]: Simplify K into K 28.981 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.982 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.982 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.982 * [backup-simplify]: Simplify (- 0) into 0 28.982 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.982 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.982 * [taylor]: Taking taylor expansion of J in J 28.982 * [backup-simplify]: Simplify 0 into 0 28.982 * [backup-simplify]: Simplify 1 into 1 28.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 28.982 * [backup-simplify]: Simplify (* 1 1) into 1 28.982 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 28.983 * [backup-simplify]: Simplify (+ 0) into 0 28.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.984 * [backup-simplify]: Simplify (- 0) into 0 28.984 * [backup-simplify]: Simplify (+ 0 0) into 0 28.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 28.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 28.986 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 28.986 * [backup-simplify]: Simplify (- 0) into 0 28.986 * [taylor]: Taking taylor expansion of 0 in K 28.986 * [backup-simplify]: Simplify 0 into 0 28.986 * [backup-simplify]: Simplify 0 into 0 28.986 * [taylor]: Taking taylor expansion of 0 in K 28.986 * [backup-simplify]: Simplify 0 into 0 28.986 * [backup-simplify]: Simplify 0 into 0 28.986 * [taylor]: Taking taylor expansion of 0 in K 28.986 * [backup-simplify]: Simplify 0 into 0 28.986 * [backup-simplify]: Simplify 0 into 0 28.986 * [backup-simplify]: Simplify 0 into 0 28.987 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.989 * [backup-simplify]: Simplify (- 0) into 0 28.989 * [backup-simplify]: Simplify (+ 0 0) into 0 28.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.994 * [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 28.995 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.996 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 28.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 28.997 * [backup-simplify]: Simplify (- 0) into 0 28.997 * [backup-simplify]: Simplify (+ 0 0) into 0 28.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 28.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 28.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 29.000 * [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 29.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.002 * [backup-simplify]: Simplify (- 0) into 0 29.003 * [backup-simplify]: Simplify (+ 0 0) into 0 29.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 29.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 29.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 29.005 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 29.005 * [backup-simplify]: Simplify (+ 0 0) into 0 29.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.007 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.007 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 29.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 29.008 * [taylor]: Taking taylor expansion of 0 in J 29.008 * [backup-simplify]: Simplify 0 into 0 29.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.010 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.012 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.012 * [backup-simplify]: Simplify (- 0) into 0 29.012 * [backup-simplify]: Simplify (+ 0 0) into 0 29.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 29.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 29.016 * [backup-simplify]: Simplify (- 0) into 0 29.016 * [taylor]: Taking taylor expansion of 0 in K 29.016 * [backup-simplify]: Simplify 0 into 0 29.016 * [backup-simplify]: Simplify 0 into 0 29.016 * [taylor]: Taking taylor expansion of 0 in K 29.017 * [backup-simplify]: Simplify 0 into 0 29.017 * [backup-simplify]: Simplify 0 into 0 29.017 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 29.017 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 29.017 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 29.017 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 29.017 * [taylor]: Taking taylor expansion of 2 in K 29.017 * [backup-simplify]: Simplify 2 into 2 29.017 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 29.017 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.017 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.017 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.017 * [taylor]: Taking taylor expansion of -1/2 in K 29.017 * [backup-simplify]: Simplify -1/2 into -1/2 29.017 * [taylor]: Taking taylor expansion of K in K 29.017 * [backup-simplify]: Simplify 0 into 0 29.018 * [backup-simplify]: Simplify 1 into 1 29.018 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.018 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.018 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.018 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.018 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.018 * [taylor]: Taking taylor expansion of 1 in K 29.018 * [backup-simplify]: Simplify 1 into 1 29.018 * [taylor]: Taking taylor expansion of 1 in K 29.018 * [backup-simplify]: Simplify 1 into 1 29.018 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.018 * [taylor]: Taking taylor expansion of 1/2 in K 29.018 * [backup-simplify]: Simplify 1/2 into 1/2 29.018 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.018 * [taylor]: Taking taylor expansion of J in K 29.019 * [backup-simplify]: Simplify J into J 29.019 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.019 * [taylor]: Taking taylor expansion of -1/2 in K 29.019 * [backup-simplify]: Simplify -1/2 into -1/2 29.019 * [taylor]: Taking taylor expansion of K in K 29.019 * [backup-simplify]: Simplify 0 into 0 29.019 * [backup-simplify]: Simplify 1 into 1 29.019 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.019 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.019 * [taylor]: Taking taylor expansion of U in K 29.019 * [backup-simplify]: Simplify U into U 29.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.019 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.020 * [taylor]: Taking taylor expansion of 1/2 in K 29.020 * [backup-simplify]: Simplify 1/2 into 1/2 29.020 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.020 * [taylor]: Taking taylor expansion of J in K 29.020 * [backup-simplify]: Simplify J into J 29.020 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.020 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.020 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.020 * [taylor]: Taking taylor expansion of -1/2 in K 29.020 * [backup-simplify]: Simplify -1/2 into -1/2 29.020 * [taylor]: Taking taylor expansion of K in K 29.020 * [backup-simplify]: Simplify 0 into 0 29.020 * [backup-simplify]: Simplify 1 into 1 29.020 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.020 * [taylor]: Taking taylor expansion of U in K 29.020 * [backup-simplify]: Simplify U into U 29.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.021 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.021 * [backup-simplify]: Simplify (* 1 1) into 1 29.021 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.021 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.022 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 29.022 * [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))))) 29.022 * [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)))))) 29.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.023 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.024 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.025 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 29.026 * [backup-simplify]: Simplify (+ 0 0) into 0 29.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 29.026 * [taylor]: Taking taylor expansion of J in K 29.026 * [backup-simplify]: Simplify J into J 29.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 29.027 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 29.027 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 29.027 * [taylor]: Taking taylor expansion of 2 in J 29.027 * [backup-simplify]: Simplify 2 into 2 29.027 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 29.027 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.027 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.027 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.027 * [taylor]: Taking taylor expansion of -1/2 in J 29.027 * [backup-simplify]: Simplify -1/2 into -1/2 29.027 * [taylor]: Taking taylor expansion of K in J 29.027 * [backup-simplify]: Simplify K into K 29.028 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.028 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.028 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.028 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.028 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.028 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.028 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.028 * [taylor]: Taking taylor expansion of 1 in J 29.028 * [backup-simplify]: Simplify 1 into 1 29.028 * [taylor]: Taking taylor expansion of 1 in J 29.028 * [backup-simplify]: Simplify 1 into 1 29.028 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.028 * [taylor]: Taking taylor expansion of 1/2 in J 29.028 * [backup-simplify]: Simplify 1/2 into 1/2 29.028 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.028 * [taylor]: Taking taylor expansion of J in J 29.028 * [backup-simplify]: Simplify 0 into 0 29.028 * [backup-simplify]: Simplify 1 into 1 29.028 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.028 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.028 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.028 * [taylor]: Taking taylor expansion of -1/2 in J 29.028 * [backup-simplify]: Simplify -1/2 into -1/2 29.028 * [taylor]: Taking taylor expansion of K in J 29.028 * [backup-simplify]: Simplify K into K 29.028 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.028 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.029 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.029 * [taylor]: Taking taylor expansion of U in J 29.029 * [backup-simplify]: Simplify U into U 29.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.029 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.029 * [backup-simplify]: Simplify (- 0) into 0 29.029 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.030 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.030 * [taylor]: Taking taylor expansion of 1/2 in J 29.030 * [backup-simplify]: Simplify 1/2 into 1/2 29.030 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.030 * [taylor]: Taking taylor expansion of J in J 29.030 * [backup-simplify]: Simplify 0 into 0 29.030 * [backup-simplify]: Simplify 1 into 1 29.030 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.030 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.030 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.030 * [taylor]: Taking taylor expansion of -1/2 in J 29.030 * [backup-simplify]: Simplify -1/2 into -1/2 29.030 * [taylor]: Taking taylor expansion of K in J 29.030 * [backup-simplify]: Simplify K into K 29.030 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.030 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.030 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.030 * [taylor]: Taking taylor expansion of U in J 29.030 * [backup-simplify]: Simplify U into U 29.030 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.030 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.031 * [backup-simplify]: Simplify (- 0) into 0 29.031 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.031 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.031 * [backup-simplify]: Simplify (* 1 1) into 1 29.032 * [backup-simplify]: Simplify (+ 1 0) into 1 29.032 * [backup-simplify]: Simplify (sqrt 1) into 1 29.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.033 * [backup-simplify]: Simplify (+ 0 0) into 0 29.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.034 * [taylor]: Taking taylor expansion of J in J 29.034 * [backup-simplify]: Simplify 0 into 0 29.034 * [backup-simplify]: Simplify 1 into 1 29.034 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.034 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.035 * [backup-simplify]: Simplify (- 0) into 0 29.035 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.035 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.035 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.035 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.035 * [taylor]: Taking taylor expansion of 2 in U 29.035 * [backup-simplify]: Simplify 2 into 2 29.035 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.035 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.035 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.035 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.035 * [taylor]: Taking taylor expansion of -1/2 in U 29.035 * [backup-simplify]: Simplify -1/2 into -1/2 29.035 * [taylor]: Taking taylor expansion of K in U 29.035 * [backup-simplify]: Simplify K into K 29.035 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.035 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.036 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.036 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.036 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.036 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.036 * [taylor]: Taking taylor expansion of 1 in U 29.036 * [backup-simplify]: Simplify 1 into 1 29.036 * [taylor]: Taking taylor expansion of 1 in U 29.036 * [backup-simplify]: Simplify 1 into 1 29.036 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.036 * [taylor]: Taking taylor expansion of 1/2 in U 29.036 * [backup-simplify]: Simplify 1/2 into 1/2 29.036 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.036 * [taylor]: Taking taylor expansion of J in U 29.036 * [backup-simplify]: Simplify J into J 29.036 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.036 * [taylor]: Taking taylor expansion of -1/2 in U 29.036 * [backup-simplify]: Simplify -1/2 into -1/2 29.036 * [taylor]: Taking taylor expansion of K in U 29.036 * [backup-simplify]: Simplify K into K 29.036 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.036 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.036 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.036 * [taylor]: Taking taylor expansion of U in U 29.036 * [backup-simplify]: Simplify 0 into 0 29.036 * [backup-simplify]: Simplify 1 into 1 29.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.037 * [backup-simplify]: Simplify (- 0) into 0 29.037 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.038 * [backup-simplify]: Simplify (+ 0) into 0 29.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.038 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.040 * [backup-simplify]: Simplify (- 0) into 0 29.040 * [backup-simplify]: Simplify (+ 0 0) into 0 29.041 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.041 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.041 * [taylor]: Taking taylor expansion of 1/2 in U 29.041 * [backup-simplify]: Simplify 1/2 into 1/2 29.041 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.041 * [taylor]: Taking taylor expansion of J in U 29.041 * [backup-simplify]: Simplify J into J 29.041 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.041 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.041 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.041 * [taylor]: Taking taylor expansion of -1/2 in U 29.041 * [backup-simplify]: Simplify -1/2 into -1/2 29.041 * [taylor]: Taking taylor expansion of K in U 29.041 * [backup-simplify]: Simplify K into K 29.041 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.041 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.041 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.041 * [taylor]: Taking taylor expansion of U in U 29.041 * [backup-simplify]: Simplify 0 into 0 29.041 * [backup-simplify]: Simplify 1 into 1 29.042 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.042 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.042 * [backup-simplify]: Simplify (- 0) into 0 29.042 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.042 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.043 * [backup-simplify]: Simplify (+ 0) into 0 29.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.045 * [backup-simplify]: Simplify (- 0) into 0 29.045 * [backup-simplify]: Simplify (+ 0 0) into 0 29.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.046 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.046 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.046 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.046 * [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))) 29.046 * [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))) 29.047 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.047 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.048 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.049 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.050 * [backup-simplify]: Simplify (- 0) into 0 29.050 * [backup-simplify]: Simplify (+ 0 0) into 0 29.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.051 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.055 * [backup-simplify]: Simplify (- 0) into 0 29.055 * [backup-simplify]: Simplify (+ 0 0) into 0 29.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.056 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.057 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.057 * [backup-simplify]: Simplify (+ 0 0) into 0 29.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.058 * [taylor]: Taking taylor expansion of J in U 29.058 * [backup-simplify]: Simplify J into J 29.058 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.058 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.058 * [backup-simplify]: Simplify (- 0) into 0 29.058 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.059 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.059 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.059 * [taylor]: Taking taylor expansion of 2 in U 29.059 * [backup-simplify]: Simplify 2 into 2 29.059 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.059 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.059 * [taylor]: Taking taylor expansion of -1/2 in U 29.059 * [backup-simplify]: Simplify -1/2 into -1/2 29.059 * [taylor]: Taking taylor expansion of K in U 29.059 * [backup-simplify]: Simplify K into K 29.059 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.059 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.059 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.059 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.059 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.059 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.059 * [taylor]: Taking taylor expansion of 1 in U 29.059 * [backup-simplify]: Simplify 1 into 1 29.059 * [taylor]: Taking taylor expansion of 1 in U 29.059 * [backup-simplify]: Simplify 1 into 1 29.059 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.060 * [taylor]: Taking taylor expansion of 1/2 in U 29.060 * [backup-simplify]: Simplify 1/2 into 1/2 29.060 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.060 * [taylor]: Taking taylor expansion of J in U 29.060 * [backup-simplify]: Simplify J into J 29.060 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.060 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.060 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.060 * [taylor]: Taking taylor expansion of -1/2 in U 29.060 * [backup-simplify]: Simplify -1/2 into -1/2 29.060 * [taylor]: Taking taylor expansion of K in U 29.060 * [backup-simplify]: Simplify K into K 29.060 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.060 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.060 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.060 * [taylor]: Taking taylor expansion of U in U 29.060 * [backup-simplify]: Simplify 0 into 0 29.060 * [backup-simplify]: Simplify 1 into 1 29.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.060 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.061 * [backup-simplify]: Simplify (- 0) into 0 29.061 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.061 * [backup-simplify]: Simplify (+ 0) into 0 29.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.062 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.063 * [backup-simplify]: Simplify (- 0) into 0 29.064 * [backup-simplify]: Simplify (+ 0 0) into 0 29.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.064 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.064 * [taylor]: Taking taylor expansion of 1/2 in U 29.064 * [backup-simplify]: Simplify 1/2 into 1/2 29.064 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.064 * [taylor]: Taking taylor expansion of J in U 29.064 * [backup-simplify]: Simplify J into J 29.064 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.064 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.064 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.064 * [taylor]: Taking taylor expansion of -1/2 in U 29.064 * [backup-simplify]: Simplify -1/2 into -1/2 29.064 * [taylor]: Taking taylor expansion of K in U 29.064 * [backup-simplify]: Simplify K into K 29.064 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.065 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.065 * [taylor]: Taking taylor expansion of U in U 29.065 * [backup-simplify]: Simplify 0 into 0 29.065 * [backup-simplify]: Simplify 1 into 1 29.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.065 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.065 * [backup-simplify]: Simplify (- 0) into 0 29.065 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.066 * [backup-simplify]: Simplify (+ 0) into 0 29.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.066 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.068 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.068 * [backup-simplify]: Simplify (- 0) into 0 29.068 * [backup-simplify]: Simplify (+ 0 0) into 0 29.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.069 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.069 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.069 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.069 * [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))) 29.070 * [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))) 29.070 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.073 * [backup-simplify]: Simplify (- 0) into 0 29.074 * [backup-simplify]: Simplify (+ 0 0) into 0 29.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.075 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.079 * [backup-simplify]: Simplify (- 0) into 0 29.079 * [backup-simplify]: Simplify (+ 0 0) into 0 29.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.080 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.081 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.081 * [backup-simplify]: Simplify (+ 0 0) into 0 29.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.081 * [taylor]: Taking taylor expansion of J in U 29.082 * [backup-simplify]: Simplify J into J 29.082 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.082 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.082 * [backup-simplify]: Simplify (- 0) into 0 29.082 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.082 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.082 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.083 * [backup-simplify]: Simplify (* 2 1/2) into 1 29.083 * [taylor]: Taking taylor expansion of 1 in J 29.083 * [backup-simplify]: Simplify 1 into 1 29.083 * [backup-simplify]: Simplify (+ 0) into 0 29.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.084 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.086 * [backup-simplify]: Simplify (- 0) into 0 29.086 * [backup-simplify]: Simplify (+ 0 0) into 0 29.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.086 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.087 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 29.087 * [taylor]: Taking taylor expansion of 0 in J 29.087 * [backup-simplify]: Simplify 0 into 0 29.087 * [taylor]: Taking taylor expansion of 1 in K 29.087 * [backup-simplify]: Simplify 1 into 1 29.087 * [backup-simplify]: Simplify 1 into 1 29.088 * [backup-simplify]: Simplify (* 1 1) into 1 29.088 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.091 * [backup-simplify]: Simplify (- 0) into 0 29.091 * [backup-simplify]: Simplify (+ 0 0) into 0 29.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.092 * [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 29.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.093 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.093 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.095 * [backup-simplify]: Simplify (- 0) into 0 29.095 * [backup-simplify]: Simplify (+ 0 0) into 0 29.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.096 * [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 29.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.097 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 29.097 * [backup-simplify]: Simplify (+ 1 0) into 1 29.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 29.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.098 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.099 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.100 * [backup-simplify]: Simplify (- 0) into 0 29.100 * [backup-simplify]: Simplify (+ 0 0) into 0 29.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 29.100 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 29.101 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 29.101 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 29.101 * [taylor]: Taking taylor expansion of 2 in J 29.101 * [backup-simplify]: Simplify 2 into 2 29.101 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 29.101 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.101 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.101 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.101 * [taylor]: Taking taylor expansion of -1/2 in J 29.101 * [backup-simplify]: Simplify -1/2 into -1/2 29.101 * [taylor]: Taking taylor expansion of K in J 29.101 * [backup-simplify]: Simplify K into K 29.101 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.101 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.101 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.101 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.102 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.102 * [backup-simplify]: Simplify (- 0) into 0 29.102 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.102 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.102 * [taylor]: Taking taylor expansion of J in J 29.102 * [backup-simplify]: Simplify 0 into 0 29.102 * [backup-simplify]: Simplify 1 into 1 29.102 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.102 * [backup-simplify]: Simplify (* 1 1) into 1 29.102 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 29.103 * [backup-simplify]: Simplify (+ 0) into 0 29.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.104 * [backup-simplify]: Simplify (- 0) into 0 29.104 * [backup-simplify]: Simplify (+ 0 0) into 0 29.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 29.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 29.106 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 29.106 * [taylor]: Taking taylor expansion of 0 in K 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [taylor]: Taking taylor expansion of 0 in K 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [taylor]: Taking taylor expansion of 0 in K 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [backup-simplify]: Simplify 0 into 0 29.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.107 * [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 29.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.109 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.110 * [backup-simplify]: Simplify (- 0) into 0 29.110 * [backup-simplify]: Simplify (+ 0 0) into 0 29.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.111 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 29.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 29.116 * [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 29.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.119 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.120 * [backup-simplify]: Simplify (- 0) into 0 29.120 * [backup-simplify]: Simplify (+ 0 0) into 0 29.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.121 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 29.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 29.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 29.123 * [backup-simplify]: Simplify (+ 0 0) into 0 29.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.124 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.128 * [backup-simplify]: Simplify (- 0) into 0 29.128 * [backup-simplify]: Simplify (+ 0 0) into 0 29.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 29.129 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 29.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 29.130 * [taylor]: Taking taylor expansion of 0 in J 29.130 * [backup-simplify]: Simplify 0 into 0 29.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.134 * [backup-simplify]: Simplify (- 0) into 0 29.134 * [backup-simplify]: Simplify (+ 0 0) into 0 29.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 29.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 29.138 * [taylor]: Taking taylor expansion of 0 in K 29.138 * [backup-simplify]: Simplify 0 into 0 29.138 * [backup-simplify]: Simplify 0 into 0 29.138 * [taylor]: Taking taylor expansion of 0 in K 29.138 * [backup-simplify]: Simplify 0 into 0 29.138 * [backup-simplify]: Simplify 0 into 0 29.138 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 29.139 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 29.139 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 29.139 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 29.139 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 29.139 * [taylor]: Taking taylor expansion of -2 in K 29.139 * [backup-simplify]: Simplify -2 into -2 29.139 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 29.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.139 * [taylor]: Taking taylor expansion of 1/2 in K 29.139 * [backup-simplify]: Simplify 1/2 into 1/2 29.139 * [taylor]: Taking taylor expansion of K in K 29.139 * [backup-simplify]: Simplify 0 into 0 29.139 * [backup-simplify]: Simplify 1 into 1 29.140 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.140 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.140 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 29.140 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.141 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.141 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 29.141 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.141 * [taylor]: Taking taylor expansion of 1 in K 29.141 * [backup-simplify]: Simplify 1 into 1 29.141 * [taylor]: Taking taylor expansion of 1 in K 29.141 * [backup-simplify]: Simplify 1 into 1 29.141 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.141 * [taylor]: Taking taylor expansion of 1/2 in K 29.141 * [backup-simplify]: Simplify 1/2 into 1/2 29.141 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.141 * [taylor]: Taking taylor expansion of U in K 29.141 * [backup-simplify]: Simplify U into U 29.141 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.141 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.141 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.141 * [taylor]: Taking taylor expansion of 1/2 in K 29.141 * [backup-simplify]: Simplify 1/2 into 1/2 29.141 * [taylor]: Taking taylor expansion of K in K 29.141 * [backup-simplify]: Simplify 0 into 0 29.141 * [backup-simplify]: Simplify 1 into 1 29.142 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.143 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.143 * [taylor]: Taking taylor expansion of J in K 29.143 * [backup-simplify]: Simplify J into J 29.143 * [backup-simplify]: Simplify (* 1 J) into J 29.143 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.143 * [taylor]: Taking taylor expansion of 1/2 in K 29.143 * [backup-simplify]: Simplify 1/2 into 1/2 29.143 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.143 * [taylor]: Taking taylor expansion of U in K 29.143 * [backup-simplify]: Simplify U into U 29.143 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.143 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.143 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.143 * [taylor]: Taking taylor expansion of 1/2 in K 29.143 * [backup-simplify]: Simplify 1/2 into 1/2 29.143 * [taylor]: Taking taylor expansion of K in K 29.143 * [backup-simplify]: Simplify 0 into 0 29.143 * [backup-simplify]: Simplify 1 into 1 29.144 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.144 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.144 * [taylor]: Taking taylor expansion of J in K 29.144 * [backup-simplify]: Simplify J into J 29.144 * [backup-simplify]: Simplify (* 1 J) into J 29.145 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.145 * [backup-simplify]: Simplify (* 1 1) into 1 29.145 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.145 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.145 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 29.146 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 29.146 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 29.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.147 * [backup-simplify]: Simplify (+ 0) into 0 29.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.147 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.148 * [backup-simplify]: Simplify (+ 0) into 0 29.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.149 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 29.150 * [backup-simplify]: Simplify (+ 0 0) into 0 29.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 29.150 * [taylor]: Taking taylor expansion of J in K 29.151 * [backup-simplify]: Simplify J into J 29.151 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 29.151 * [taylor]: Taking taylor expansion of -2 in J 29.151 * [backup-simplify]: Simplify -2 into -2 29.151 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 29.151 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.151 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.151 * [taylor]: Taking taylor expansion of 1/2 in J 29.151 * [backup-simplify]: Simplify 1/2 into 1/2 29.151 * [taylor]: Taking taylor expansion of K in J 29.151 * [backup-simplify]: Simplify K into K 29.151 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.151 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.151 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.151 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 29.151 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.151 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.151 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 29.151 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.151 * [taylor]: Taking taylor expansion of 1 in J 29.151 * [backup-simplify]: Simplify 1 into 1 29.151 * [taylor]: Taking taylor expansion of 1 in J 29.151 * [backup-simplify]: Simplify 1 into 1 29.151 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.151 * [taylor]: Taking taylor expansion of 1/2 in J 29.151 * [backup-simplify]: Simplify 1/2 into 1/2 29.151 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.151 * [taylor]: Taking taylor expansion of U in J 29.151 * [backup-simplify]: Simplify U into U 29.152 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.152 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.152 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.152 * [taylor]: Taking taylor expansion of 1/2 in J 29.152 * [backup-simplify]: Simplify 1/2 into 1/2 29.152 * [taylor]: Taking taylor expansion of K in J 29.152 * [backup-simplify]: Simplify K into K 29.152 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.152 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.152 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.152 * [taylor]: Taking taylor expansion of J in J 29.152 * [backup-simplify]: Simplify 0 into 0 29.152 * [backup-simplify]: Simplify 1 into 1 29.152 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.152 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.152 * [backup-simplify]: Simplify (- 0) into 0 29.153 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.153 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.153 * [backup-simplify]: Simplify (+ 0) into 0 29.154 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.155 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.156 * [backup-simplify]: Simplify (- 0) into 0 29.156 * [backup-simplify]: Simplify (+ 0 0) into 0 29.156 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.156 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.156 * [taylor]: Taking taylor expansion of 1/2 in J 29.156 * [backup-simplify]: Simplify 1/2 into 1/2 29.157 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.157 * [taylor]: Taking taylor expansion of U in J 29.157 * [backup-simplify]: Simplify U into U 29.157 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.157 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.157 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.157 * [taylor]: Taking taylor expansion of 1/2 in J 29.157 * [backup-simplify]: Simplify 1/2 into 1/2 29.157 * [taylor]: Taking taylor expansion of K in J 29.157 * [backup-simplify]: Simplify K into K 29.157 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.157 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.157 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.157 * [taylor]: Taking taylor expansion of J in J 29.157 * [backup-simplify]: Simplify 0 into 0 29.157 * [backup-simplify]: Simplify 1 into 1 29.157 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.157 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.158 * [backup-simplify]: Simplify (- 0) into 0 29.158 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.158 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.158 * [backup-simplify]: Simplify (+ 0) into 0 29.159 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.160 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.161 * [backup-simplify]: Simplify (- 0) into 0 29.161 * [backup-simplify]: Simplify (+ 0 0) into 0 29.162 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.162 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.162 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.162 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.162 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 29.162 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 29.163 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.166 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.166 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.167 * [backup-simplify]: Simplify (- 0) into 0 29.167 * [backup-simplify]: Simplify (+ 0 0) into 0 29.168 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.168 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.172 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.173 * [backup-simplify]: Simplify (- 0) into 0 29.173 * [backup-simplify]: Simplify (+ 0 0) into 0 29.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.174 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.175 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 29.175 * [backup-simplify]: Simplify (+ 0 0) into 0 29.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 29.176 * [taylor]: Taking taylor expansion of J in J 29.176 * [backup-simplify]: Simplify 0 into 0 29.176 * [backup-simplify]: Simplify 1 into 1 29.176 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 29.176 * [taylor]: Taking taylor expansion of -2 in U 29.176 * [backup-simplify]: Simplify -2 into -2 29.176 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 29.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.176 * [taylor]: Taking taylor expansion of 1/2 in U 29.176 * [backup-simplify]: Simplify 1/2 into 1/2 29.176 * [taylor]: Taking taylor expansion of K in U 29.176 * [backup-simplify]: Simplify K into K 29.176 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.176 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.176 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.176 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 29.176 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.176 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.176 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 29.176 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.176 * [taylor]: Taking taylor expansion of 1 in U 29.176 * [backup-simplify]: Simplify 1 into 1 29.177 * [taylor]: Taking taylor expansion of 1 in U 29.177 * [backup-simplify]: Simplify 1 into 1 29.177 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.177 * [taylor]: Taking taylor expansion of 1/2 in U 29.177 * [backup-simplify]: Simplify 1/2 into 1/2 29.177 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.177 * [taylor]: Taking taylor expansion of U in U 29.177 * [backup-simplify]: Simplify 0 into 0 29.177 * [backup-simplify]: Simplify 1 into 1 29.177 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.177 * [taylor]: Taking taylor expansion of 1/2 in U 29.177 * [backup-simplify]: Simplify 1/2 into 1/2 29.177 * [taylor]: Taking taylor expansion of K in U 29.177 * [backup-simplify]: Simplify K into K 29.177 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.177 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.177 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.177 * [taylor]: Taking taylor expansion of J in U 29.177 * [backup-simplify]: Simplify J into J 29.177 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.178 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.178 * [backup-simplify]: Simplify (- 0) into 0 29.178 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.178 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.178 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.178 * [taylor]: Taking taylor expansion of 1/2 in U 29.178 * [backup-simplify]: Simplify 1/2 into 1/2 29.178 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.178 * [taylor]: Taking taylor expansion of U in U 29.178 * [backup-simplify]: Simplify 0 into 0 29.178 * [backup-simplify]: Simplify 1 into 1 29.178 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.179 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.179 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.179 * [taylor]: Taking taylor expansion of 1/2 in U 29.179 * [backup-simplify]: Simplify 1/2 into 1/2 29.179 * [taylor]: Taking taylor expansion of K in U 29.179 * [backup-simplify]: Simplify K into K 29.179 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.179 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.179 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.179 * [taylor]: Taking taylor expansion of J in U 29.179 * [backup-simplify]: Simplify J into J 29.179 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.179 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.179 * [backup-simplify]: Simplify (- 0) into 0 29.180 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.180 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.180 * [backup-simplify]: Simplify (* 1 1) into 1 29.180 * [backup-simplify]: Simplify (+ 1 0) into 1 29.181 * [backup-simplify]: Simplify (sqrt 1) into 1 29.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.182 * [backup-simplify]: Simplify (+ 0 0) into 0 29.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.183 * [taylor]: Taking taylor expansion of J in U 29.183 * [backup-simplify]: Simplify J into J 29.183 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 29.183 * [taylor]: Taking taylor expansion of -2 in U 29.183 * [backup-simplify]: Simplify -2 into -2 29.183 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 29.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.183 * [taylor]: Taking taylor expansion of 1/2 in U 29.183 * [backup-simplify]: Simplify 1/2 into 1/2 29.183 * [taylor]: Taking taylor expansion of K in U 29.183 * [backup-simplify]: Simplify K into K 29.183 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.183 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.183 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.183 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 29.183 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.183 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.183 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 29.183 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.183 * [taylor]: Taking taylor expansion of 1 in U 29.183 * [backup-simplify]: Simplify 1 into 1 29.183 * [taylor]: Taking taylor expansion of 1 in U 29.183 * [backup-simplify]: Simplify 1 into 1 29.183 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.183 * [taylor]: Taking taylor expansion of 1/2 in U 29.184 * [backup-simplify]: Simplify 1/2 into 1/2 29.184 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.184 * [taylor]: Taking taylor expansion of U in U 29.184 * [backup-simplify]: Simplify 0 into 0 29.184 * [backup-simplify]: Simplify 1 into 1 29.184 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.184 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.184 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.184 * [taylor]: Taking taylor expansion of 1/2 in U 29.184 * [backup-simplify]: Simplify 1/2 into 1/2 29.184 * [taylor]: Taking taylor expansion of K in U 29.184 * [backup-simplify]: Simplify K into K 29.184 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.184 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.184 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.184 * [taylor]: Taking taylor expansion of J in U 29.184 * [backup-simplify]: Simplify J into J 29.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.184 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.185 * [backup-simplify]: Simplify (- 0) into 0 29.185 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.185 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.185 * [taylor]: Taking taylor expansion of 1/2 in U 29.185 * [backup-simplify]: Simplify 1/2 into 1/2 29.185 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.185 * [taylor]: Taking taylor expansion of U in U 29.185 * [backup-simplify]: Simplify 0 into 0 29.185 * [backup-simplify]: Simplify 1 into 1 29.185 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.185 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.185 * [taylor]: Taking taylor expansion of 1/2 in U 29.185 * [backup-simplify]: Simplify 1/2 into 1/2 29.185 * [taylor]: Taking taylor expansion of K in U 29.185 * [backup-simplify]: Simplify K into K 29.185 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.185 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.185 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.186 * [taylor]: Taking taylor expansion of J in U 29.186 * [backup-simplify]: Simplify J into J 29.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.186 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.186 * [backup-simplify]: Simplify (- 0) into 0 29.186 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.186 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.187 * [backup-simplify]: Simplify (* 1 1) into 1 29.187 * [backup-simplify]: Simplify (+ 1 0) into 1 29.188 * [backup-simplify]: Simplify (sqrt 1) into 1 29.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.189 * [backup-simplify]: Simplify (+ 0 0) into 0 29.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.189 * [taylor]: Taking taylor expansion of J in U 29.189 * [backup-simplify]: Simplify J into J 29.190 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.190 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.190 * [backup-simplify]: Simplify (- 0) into 0 29.190 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.190 * [backup-simplify]: Simplify (* 1 J) into J 29.190 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.190 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 29.190 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 29.190 * [taylor]: Taking taylor expansion of -2 in J 29.190 * [backup-simplify]: Simplify -2 into -2 29.190 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.190 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.191 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.191 * [taylor]: Taking taylor expansion of 1/2 in J 29.191 * [backup-simplify]: Simplify 1/2 into 1/2 29.191 * [taylor]: Taking taylor expansion of K in J 29.191 * [backup-simplify]: Simplify K into K 29.191 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.191 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.191 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.191 * [taylor]: Taking taylor expansion of J in J 29.191 * [backup-simplify]: Simplify 0 into 0 29.191 * [backup-simplify]: Simplify 1 into 1 29.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.192 * [backup-simplify]: Simplify (+ 0) into 0 29.192 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.194 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.194 * [backup-simplify]: Simplify (- 0) into 0 29.195 * [backup-simplify]: Simplify (+ 0 0) into 0 29.195 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.195 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 29.195 * [taylor]: Taking taylor expansion of 0 in J 29.195 * [backup-simplify]: Simplify 0 into 0 29.195 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.195 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.196 * [backup-simplify]: Simplify (- 0) into 0 29.196 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.196 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.196 * [backup-simplify]: Simplify (* -2 0) into 0 29.196 * [taylor]: Taking taylor expansion of 0 in K 29.196 * [backup-simplify]: Simplify 0 into 0 29.197 * [backup-simplify]: Simplify 0 into 0 29.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.198 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.198 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.198 * [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))) 29.198 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 29.200 * [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))) 29.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 29.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.202 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.204 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.205 * [backup-simplify]: Simplify (- 0) into 0 29.205 * [backup-simplify]: Simplify (+ 0 0) into 0 29.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 29.206 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 29.206 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 29.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 29.206 * [taylor]: Taking taylor expansion of 1/4 in J 29.206 * [backup-simplify]: Simplify 1/4 into 1/4 29.206 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 29.207 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.207 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.207 * [taylor]: Taking taylor expansion of 1/2 in J 29.207 * [backup-simplify]: Simplify 1/2 into 1/2 29.207 * [taylor]: Taking taylor expansion of K in J 29.207 * [backup-simplify]: Simplify K into K 29.207 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.207 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.207 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.207 * [taylor]: Taking taylor expansion of J in J 29.207 * [backup-simplify]: Simplify 0 into 0 29.207 * [backup-simplify]: Simplify 1 into 1 29.207 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.207 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.208 * [backup-simplify]: Simplify (- 0) into 0 29.208 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.208 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.208 * [backup-simplify]: Simplify (+ 0) into 0 29.209 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.210 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.211 * [backup-simplify]: Simplify (- 0) into 0 29.211 * [backup-simplify]: Simplify (+ 0 0) into 0 29.211 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.211 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 29.212 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 29.212 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 29.212 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 29.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 29.212 * [taylor]: Taking taylor expansion of 1/4 in K 29.212 * [backup-simplify]: Simplify 1/4 into 1/4 29.212 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 29.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.212 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.212 * [taylor]: Taking taylor expansion of 1/2 in K 29.212 * [backup-simplify]: Simplify 1/2 into 1/2 29.212 * [taylor]: Taking taylor expansion of K in K 29.212 * [backup-simplify]: Simplify 0 into 0 29.212 * [backup-simplify]: Simplify 1 into 1 29.212 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.213 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.213 * [backup-simplify]: Simplify (/ 1 1) into 1 29.214 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 29.214 * [backup-simplify]: Simplify (- 1/4) into -1/4 29.214 * [backup-simplify]: Simplify -1/4 into -1/4 29.214 * [taylor]: Taking taylor expansion of 0 in K 29.214 * [backup-simplify]: Simplify 0 into 0 29.214 * [backup-simplify]: Simplify 0 into 0 29.215 * [backup-simplify]: Simplify (+ 0) into 0 29.215 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.217 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.217 * [backup-simplify]: Simplify (- 0) into 0 29.218 * [backup-simplify]: Simplify (+ 0 0) into 0 29.218 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.219 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 29.219 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 29.219 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 29.219 * [taylor]: Taking taylor expansion of 2 in K 29.219 * [backup-simplify]: Simplify 2 into 2 29.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.219 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.219 * [taylor]: Taking taylor expansion of 1/2 in K 29.219 * [backup-simplify]: Simplify 1/2 into 1/2 29.219 * [taylor]: Taking taylor expansion of K in K 29.219 * [backup-simplify]: Simplify 0 into 0 29.219 * [backup-simplify]: Simplify 1 into 1 29.219 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.220 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.220 * [backup-simplify]: Simplify (* 2 1) into 2 29.221 * [backup-simplify]: Simplify (- 2) into -2 29.221 * [backup-simplify]: Simplify -2 into -2 29.221 * [backup-simplify]: Simplify 0 into 0 29.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.222 * [backup-simplify]: Simplify (+ 0) into 0 29.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.224 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.225 * [backup-simplify]: Simplify (- 0) into 0 29.225 * [backup-simplify]: Simplify (+ 0 0) into 0 29.225 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.226 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 29.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 29.227 * [backup-simplify]: Simplify (+ 0) into 0 29.227 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.229 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.229 * [backup-simplify]: Simplify (- 0) into 0 29.230 * [backup-simplify]: Simplify (+ 0 0) into 0 29.230 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.230 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 29.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 29.231 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 29.231 * [backup-simplify]: Simplify (+ 0 0) into 0 29.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 29.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 29.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 29.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.238 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.238 * [backup-simplify]: Simplify (- 0) into 0 29.239 * [backup-simplify]: Simplify (+ 0 0) into 0 29.239 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 29.240 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 29.240 * [taylor]: Taking taylor expansion of 0 in J 29.240 * [backup-simplify]: Simplify 0 into 0 29.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.242 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.244 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.245 * [backup-simplify]: Simplify (- 0) into 0 29.245 * [backup-simplify]: Simplify (+ 0 0) into 0 29.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 29.247 * [backup-simplify]: Simplify (- 0) into 0 29.247 * [taylor]: Taking taylor expansion of 0 in K 29.247 * [backup-simplify]: Simplify 0 into 0 29.247 * [backup-simplify]: Simplify 0 into 0 29.247 * [taylor]: Taking taylor expansion of 0 in K 29.247 * [backup-simplify]: Simplify 0 into 0 29.247 * [backup-simplify]: Simplify 0 into 0 29.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.251 * [backup-simplify]: Simplify (- 0) into 0 29.251 * [backup-simplify]: Simplify (+ 0 0) into 0 29.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.253 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 29.253 * [taylor]: Taking taylor expansion of 0 in K 29.253 * [backup-simplify]: Simplify 0 into 0 29.253 * [backup-simplify]: Simplify 0 into 0 29.253 * [backup-simplify]: Simplify (+ 0) into 0 29.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.255 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 29.255 * [backup-simplify]: Simplify (- 0) into 0 29.255 * [backup-simplify]: Simplify 0 into 0 29.255 * [backup-simplify]: Simplify 0 into 0 29.256 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 29.256 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 29.256 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 29.256 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 29.256 * [taylor]: Taking taylor expansion of -2 in K 29.256 * [backup-simplify]: Simplify -2 into -2 29.256 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 29.256 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 29.256 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.256 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.256 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 29.257 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.257 * [taylor]: Taking taylor expansion of 1 in K 29.257 * [backup-simplify]: Simplify 1 into 1 29.257 * [taylor]: Taking taylor expansion of 1 in K 29.257 * [backup-simplify]: Simplify 1 into 1 29.257 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.257 * [taylor]: Taking taylor expansion of 1/2 in K 29.257 * [backup-simplify]: Simplify 1/2 into 1/2 29.257 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.257 * [taylor]: Taking taylor expansion of J in K 29.257 * [backup-simplify]: Simplify J into J 29.257 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.257 * [taylor]: Taking taylor expansion of U in K 29.257 * [backup-simplify]: Simplify U into U 29.257 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.257 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.257 * [taylor]: Taking taylor expansion of 1/2 in K 29.257 * [backup-simplify]: Simplify 1/2 into 1/2 29.257 * [taylor]: Taking taylor expansion of K in K 29.257 * [backup-simplify]: Simplify 0 into 0 29.257 * [backup-simplify]: Simplify 1 into 1 29.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.262 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.262 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.263 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.263 * [taylor]: Taking taylor expansion of 1/2 in K 29.263 * [backup-simplify]: Simplify 1/2 into 1/2 29.263 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.263 * [taylor]: Taking taylor expansion of J in K 29.263 * [backup-simplify]: Simplify J into J 29.263 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.263 * [taylor]: Taking taylor expansion of U in K 29.263 * [backup-simplify]: Simplify U into U 29.263 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.263 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.263 * [taylor]: Taking taylor expansion of 1/2 in K 29.263 * [backup-simplify]: Simplify 1/2 into 1/2 29.263 * [taylor]: Taking taylor expansion of K in K 29.263 * [backup-simplify]: Simplify 0 into 0 29.263 * [backup-simplify]: Simplify 1 into 1 29.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.264 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.264 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.264 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.265 * [backup-simplify]: Simplify (* 1 1) into 1 29.265 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.265 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.265 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 29.266 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 29.266 * [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)) 29.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.267 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.267 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.268 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.268 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.269 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 29.269 * [backup-simplify]: Simplify (+ 0 0) into 0 29.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 29.270 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.270 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.270 * [taylor]: Taking taylor expansion of 1/2 in K 29.270 * [backup-simplify]: Simplify 1/2 into 1/2 29.270 * [taylor]: Taking taylor expansion of K in K 29.270 * [backup-simplify]: Simplify 0 into 0 29.270 * [backup-simplify]: Simplify 1 into 1 29.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.270 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.270 * [taylor]: Taking taylor expansion of J in K 29.270 * [backup-simplify]: Simplify J into J 29.271 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 29.271 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 29.271 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 29.271 * [taylor]: Taking taylor expansion of -2 in J 29.271 * [backup-simplify]: Simplify -2 into -2 29.271 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 29.271 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 29.271 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.272 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.272 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 29.272 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.272 * [taylor]: Taking taylor expansion of 1 in J 29.272 * [backup-simplify]: Simplify 1 into 1 29.272 * [taylor]: Taking taylor expansion of 1 in J 29.272 * [backup-simplify]: Simplify 1 into 1 29.272 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.272 * [taylor]: Taking taylor expansion of 1/2 in J 29.272 * [backup-simplify]: Simplify 1/2 into 1/2 29.272 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.272 * [taylor]: Taking taylor expansion of J in J 29.272 * [backup-simplify]: Simplify 0 into 0 29.272 * [backup-simplify]: Simplify 1 into 1 29.272 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.272 * [taylor]: Taking taylor expansion of U in J 29.272 * [backup-simplify]: Simplify U into U 29.272 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.272 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.272 * [taylor]: Taking taylor expansion of 1/2 in J 29.272 * [backup-simplify]: Simplify 1/2 into 1/2 29.272 * [taylor]: Taking taylor expansion of K in J 29.272 * [backup-simplify]: Simplify K into K 29.272 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.272 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.272 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.272 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.272 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.273 * [backup-simplify]: Simplify (- 0) into 0 29.273 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.273 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.273 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.273 * [taylor]: Taking taylor expansion of 1/2 in J 29.273 * [backup-simplify]: Simplify 1/2 into 1/2 29.273 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.273 * [taylor]: Taking taylor expansion of J in J 29.273 * [backup-simplify]: Simplify 0 into 0 29.273 * [backup-simplify]: Simplify 1 into 1 29.273 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.273 * [taylor]: Taking taylor expansion of U in J 29.273 * [backup-simplify]: Simplify U into U 29.273 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.273 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.273 * [taylor]: Taking taylor expansion of 1/2 in J 29.273 * [backup-simplify]: Simplify 1/2 into 1/2 29.273 * [taylor]: Taking taylor expansion of K in J 29.273 * [backup-simplify]: Simplify K into K 29.273 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.274 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.274 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.274 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.274 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.274 * [backup-simplify]: Simplify (- 0) into 0 29.274 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.274 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.274 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.275 * [backup-simplify]: Simplify (* 1 1) into 1 29.275 * [backup-simplify]: Simplify (+ 1 0) into 1 29.275 * [backup-simplify]: Simplify (sqrt 1) into 1 29.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.276 * [backup-simplify]: Simplify (+ 0 0) into 0 29.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.277 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.277 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.277 * [taylor]: Taking taylor expansion of 1/2 in J 29.277 * [backup-simplify]: Simplify 1/2 into 1/2 29.277 * [taylor]: Taking taylor expansion of K in J 29.277 * [backup-simplify]: Simplify K into K 29.277 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.277 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.277 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.277 * [taylor]: Taking taylor expansion of J in J 29.277 * [backup-simplify]: Simplify 0 into 0 29.277 * [backup-simplify]: Simplify 1 into 1 29.278 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.278 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.278 * [backup-simplify]: Simplify (- 0) into 0 29.278 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.278 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 29.279 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.279 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 29.279 * [taylor]: Taking taylor expansion of -2 in U 29.279 * [backup-simplify]: Simplify -2 into -2 29.279 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 29.279 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 29.279 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.279 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.279 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 29.279 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.279 * [taylor]: Taking taylor expansion of 1 in U 29.279 * [backup-simplify]: Simplify 1 into 1 29.279 * [taylor]: Taking taylor expansion of 1 in U 29.279 * [backup-simplify]: Simplify 1 into 1 29.279 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.279 * [taylor]: Taking taylor expansion of 1/2 in U 29.279 * [backup-simplify]: Simplify 1/2 into 1/2 29.279 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.279 * [taylor]: Taking taylor expansion of J in U 29.279 * [backup-simplify]: Simplify J into J 29.279 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.279 * [taylor]: Taking taylor expansion of U in U 29.279 * [backup-simplify]: Simplify 0 into 0 29.279 * [backup-simplify]: Simplify 1 into 1 29.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.279 * [taylor]: Taking taylor expansion of 1/2 in U 29.279 * [backup-simplify]: Simplify 1/2 into 1/2 29.279 * [taylor]: Taking taylor expansion of K in U 29.279 * [backup-simplify]: Simplify K into K 29.279 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.280 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.280 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.280 * [backup-simplify]: Simplify (- 0) into 0 29.280 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.280 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.280 * [backup-simplify]: Simplify (+ 0) into 0 29.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.281 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.282 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.282 * [backup-simplify]: Simplify (- 0) into 0 29.283 * [backup-simplify]: Simplify (+ 0 0) into 0 29.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.283 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.283 * [taylor]: Taking taylor expansion of 1/2 in U 29.283 * [backup-simplify]: Simplify 1/2 into 1/2 29.283 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.283 * [taylor]: Taking taylor expansion of J in U 29.283 * [backup-simplify]: Simplify J into J 29.283 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.283 * [taylor]: Taking taylor expansion of U in U 29.283 * [backup-simplify]: Simplify 0 into 0 29.283 * [backup-simplify]: Simplify 1 into 1 29.283 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.284 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.284 * [taylor]: Taking taylor expansion of 1/2 in U 29.284 * [backup-simplify]: Simplify 1/2 into 1/2 29.284 * [taylor]: Taking taylor expansion of K in U 29.284 * [backup-simplify]: Simplify K into K 29.284 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.284 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.284 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.284 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.284 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.284 * [backup-simplify]: Simplify (- 0) into 0 29.284 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.284 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.285 * [backup-simplify]: Simplify (+ 0) into 0 29.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.287 * [backup-simplify]: Simplify (- 0) into 0 29.287 * [backup-simplify]: Simplify (+ 0 0) into 0 29.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.288 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.288 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.288 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.288 * [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))) 29.289 * [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))) 29.289 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.291 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.292 * [backup-simplify]: Simplify (- 0) into 0 29.293 * [backup-simplify]: Simplify (+ 0 0) into 0 29.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.294 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.297 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.299 * [backup-simplify]: Simplify (- 0) into 0 29.299 * [backup-simplify]: Simplify (+ 0 0) into 0 29.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.301 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.301 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.302 * [backup-simplify]: Simplify (+ 0 0) into 0 29.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.302 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.302 * [taylor]: Taking taylor expansion of 1/2 in U 29.302 * [backup-simplify]: Simplify 1/2 into 1/2 29.302 * [taylor]: Taking taylor expansion of K in U 29.302 * [backup-simplify]: Simplify K into K 29.302 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.302 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.303 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.303 * [taylor]: Taking taylor expansion of J in U 29.303 * [backup-simplify]: Simplify J into J 29.303 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.303 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.303 * [backup-simplify]: Simplify (- 0) into 0 29.303 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.303 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 29.303 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.303 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 29.304 * [taylor]: Taking taylor expansion of -2 in U 29.304 * [backup-simplify]: Simplify -2 into -2 29.304 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 29.304 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 29.304 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.304 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.304 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 29.304 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.304 * [taylor]: Taking taylor expansion of 1 in U 29.304 * [backup-simplify]: Simplify 1 into 1 29.304 * [taylor]: Taking taylor expansion of 1 in U 29.304 * [backup-simplify]: Simplify 1 into 1 29.304 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.304 * [taylor]: Taking taylor expansion of 1/2 in U 29.304 * [backup-simplify]: Simplify 1/2 into 1/2 29.304 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.304 * [taylor]: Taking taylor expansion of J in U 29.304 * [backup-simplify]: Simplify J into J 29.304 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.304 * [taylor]: Taking taylor expansion of U in U 29.304 * [backup-simplify]: Simplify 0 into 0 29.304 * [backup-simplify]: Simplify 1 into 1 29.304 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.304 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.304 * [taylor]: Taking taylor expansion of 1/2 in U 29.304 * [backup-simplify]: Simplify 1/2 into 1/2 29.304 * [taylor]: Taking taylor expansion of K in U 29.304 * [backup-simplify]: Simplify K into K 29.304 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.304 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.305 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.305 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.305 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.305 * [backup-simplify]: Simplify (- 0) into 0 29.305 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.305 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.306 * [backup-simplify]: Simplify (+ 0) into 0 29.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.308 * [backup-simplify]: Simplify (- 0) into 0 29.308 * [backup-simplify]: Simplify (+ 0 0) into 0 29.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.309 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.309 * [taylor]: Taking taylor expansion of 1/2 in U 29.309 * [backup-simplify]: Simplify 1/2 into 1/2 29.309 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.309 * [taylor]: Taking taylor expansion of J in U 29.309 * [backup-simplify]: Simplify J into J 29.309 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.309 * [taylor]: Taking taylor expansion of U in U 29.309 * [backup-simplify]: Simplify 0 into 0 29.309 * [backup-simplify]: Simplify 1 into 1 29.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.309 * [taylor]: Taking taylor expansion of 1/2 in U 29.309 * [backup-simplify]: Simplify 1/2 into 1/2 29.309 * [taylor]: Taking taylor expansion of K in U 29.309 * [backup-simplify]: Simplify K into K 29.309 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.309 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.309 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.310 * [backup-simplify]: Simplify (- 0) into 0 29.310 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.310 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.310 * [backup-simplify]: Simplify (+ 0) into 0 29.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.313 * [backup-simplify]: Simplify (- 0) into 0 29.313 * [backup-simplify]: Simplify (+ 0 0) into 0 29.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.313 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.314 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.314 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.314 * [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))) 29.314 * [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))) 29.314 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.318 * [backup-simplify]: Simplify (- 0) into 0 29.318 * [backup-simplify]: Simplify (+ 0 0) into 0 29.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.319 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.322 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.323 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.323 * [backup-simplify]: Simplify (- 0) into 0 29.324 * [backup-simplify]: Simplify (+ 0 0) into 0 29.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.325 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.326 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.326 * [backup-simplify]: Simplify (+ 0 0) into 0 29.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.326 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.326 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.327 * [taylor]: Taking taylor expansion of 1/2 in U 29.327 * [backup-simplify]: Simplify 1/2 into 1/2 29.327 * [taylor]: Taking taylor expansion of K in U 29.327 * [backup-simplify]: Simplify K into K 29.327 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.327 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.327 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.327 * [taylor]: Taking taylor expansion of J in U 29.327 * [backup-simplify]: Simplify J into J 29.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.327 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.327 * [backup-simplify]: Simplify (- 0) into 0 29.328 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.328 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 29.328 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.329 * [backup-simplify]: Simplify (* -2 1/2) into -1 29.329 * [taylor]: Taking taylor expansion of -1 in J 29.329 * [backup-simplify]: Simplify -1 into -1 29.329 * [backup-simplify]: Simplify (+ 0) into 0 29.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.331 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.331 * [backup-simplify]: Simplify (- 0) into 0 29.332 * [backup-simplify]: Simplify (+ 0 0) into 0 29.332 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.332 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.333 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 29.333 * [taylor]: Taking taylor expansion of 0 in J 29.333 * [backup-simplify]: Simplify 0 into 0 29.333 * [taylor]: Taking taylor expansion of -1 in K 29.333 * [backup-simplify]: Simplify -1 into -1 29.333 * [backup-simplify]: Simplify -1 into -1 29.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.336 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.337 * [backup-simplify]: Simplify (- 0) into 0 29.337 * [backup-simplify]: Simplify (+ 0 0) into 0 29.338 * [backup-simplify]: Simplify (* 1 1) into 1 29.339 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.342 * [backup-simplify]: Simplify (- 0) into 0 29.343 * [backup-simplify]: Simplify (+ 0 0) into 0 29.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.344 * [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 29.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.346 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.347 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.350 * [backup-simplify]: Simplify (- 0) into 0 29.350 * [backup-simplify]: Simplify (+ 0 0) into 0 29.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.352 * [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 29.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.354 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 29.354 * [backup-simplify]: Simplify (+ 1 0) into 1 29.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 29.356 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 29.356 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 29.357 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 29.357 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 29.357 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 29.357 * [taylor]: Taking taylor expansion of 2 in J 29.357 * [backup-simplify]: Simplify 2 into 2 29.357 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 29.357 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 29.357 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.357 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.357 * [taylor]: Taking taylor expansion of 1/2 in J 29.357 * [backup-simplify]: Simplify 1/2 into 1/2 29.357 * [taylor]: Taking taylor expansion of K in J 29.357 * [backup-simplify]: Simplify K into K 29.357 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.357 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.358 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.358 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.358 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.358 * [backup-simplify]: Simplify (- 0) into 0 29.358 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.358 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.358 * [taylor]: Taking taylor expansion of J in J 29.358 * [backup-simplify]: Simplify 0 into 0 29.358 * [backup-simplify]: Simplify 1 into 1 29.358 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 29.359 * [backup-simplify]: Simplify (* 1 1) into 1 29.359 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 29.359 * [backup-simplify]: Simplify (+ 0) into 0 29.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.361 * [backup-simplify]: Simplify (- 0) into 0 29.362 * [backup-simplify]: Simplify (+ 0 0) into 0 29.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 29.364 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 29.364 * [backup-simplify]: Simplify (- 0) into 0 29.364 * [taylor]: Taking taylor expansion of 0 in K 29.365 * [backup-simplify]: Simplify 0 into 0 29.365 * [backup-simplify]: Simplify 0 into 0 29.365 * [taylor]: Taking taylor expansion of 0 in K 29.365 * [backup-simplify]: Simplify 0 into 0 29.365 * [backup-simplify]: Simplify 0 into 0 29.365 * [taylor]: Taking taylor expansion of 0 in K 29.365 * [backup-simplify]: Simplify 0 into 0 29.365 * [backup-simplify]: Simplify 0 into 0 29.365 * [backup-simplify]: Simplify 0 into 0 29.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.368 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.369 * [backup-simplify]: Simplify (- 0) into 0 29.370 * [backup-simplify]: Simplify (+ 0 0) into 0 29.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.372 * [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 29.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.376 * [backup-simplify]: Simplify (- 0) into 0 29.377 * [backup-simplify]: Simplify (+ 0 0) into 0 29.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 29.379 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 29.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 29.383 * [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 29.384 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.386 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.387 * [backup-simplify]: Simplify (- 0) into 0 29.387 * [backup-simplify]: Simplify (+ 0 0) into 0 29.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 29.389 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 29.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 29.392 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 29.392 * [backup-simplify]: Simplify (+ 0 0) into 0 29.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.393 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.393 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 29.395 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 29.395 * [taylor]: Taking taylor expansion of 0 in J 29.395 * [backup-simplify]: Simplify 0 into 0 29.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.397 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.398 * [backup-simplify]: Simplify (- 0) into 0 29.399 * [backup-simplify]: Simplify (+ 0 0) into 0 29.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 29.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 29.403 * [backup-simplify]: Simplify (- 0) into 0 29.403 * [taylor]: Taking taylor expansion of 0 in K 29.403 * [backup-simplify]: Simplify 0 into 0 29.403 * [backup-simplify]: Simplify 0 into 0 29.403 * [taylor]: Taking taylor expansion of 0 in K 29.403 * [backup-simplify]: Simplify 0 into 0 29.403 * [backup-simplify]: Simplify 0 into 0 29.403 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 29.404 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 29.404 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 29.404 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 29.404 * [taylor]: Taking taylor expansion of 2 in K 29.404 * [backup-simplify]: Simplify 2 into 2 29.404 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 29.404 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.404 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.404 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.404 * [taylor]: Taking taylor expansion of -1/2 in K 29.404 * [backup-simplify]: Simplify -1/2 into -1/2 29.404 * [taylor]: Taking taylor expansion of K in K 29.404 * [backup-simplify]: Simplify 0 into 0 29.404 * [backup-simplify]: Simplify 1 into 1 29.405 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.405 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.405 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.405 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.405 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.405 * [taylor]: Taking taylor expansion of 1 in K 29.405 * [backup-simplify]: Simplify 1 into 1 29.405 * [taylor]: Taking taylor expansion of 1 in K 29.405 * [backup-simplify]: Simplify 1 into 1 29.405 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.405 * [taylor]: Taking taylor expansion of 1/2 in K 29.405 * [backup-simplify]: Simplify 1/2 into 1/2 29.405 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.405 * [taylor]: Taking taylor expansion of J in K 29.405 * [backup-simplify]: Simplify J into J 29.405 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.405 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.405 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.405 * [taylor]: Taking taylor expansion of -1/2 in K 29.405 * [backup-simplify]: Simplify -1/2 into -1/2 29.406 * [taylor]: Taking taylor expansion of K in K 29.406 * [backup-simplify]: Simplify 0 into 0 29.406 * [backup-simplify]: Simplify 1 into 1 29.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.406 * [taylor]: Taking taylor expansion of U in K 29.406 * [backup-simplify]: Simplify U into U 29.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.406 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.406 * [taylor]: Taking taylor expansion of 1/2 in K 29.406 * [backup-simplify]: Simplify 1/2 into 1/2 29.406 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.407 * [taylor]: Taking taylor expansion of J in K 29.407 * [backup-simplify]: Simplify J into J 29.407 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.407 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.407 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.407 * [taylor]: Taking taylor expansion of -1/2 in K 29.407 * [backup-simplify]: Simplify -1/2 into -1/2 29.407 * [taylor]: Taking taylor expansion of K in K 29.407 * [backup-simplify]: Simplify 0 into 0 29.407 * [backup-simplify]: Simplify 1 into 1 29.412 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.412 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.412 * [taylor]: Taking taylor expansion of U in K 29.412 * [backup-simplify]: Simplify U into U 29.412 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.412 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.413 * [backup-simplify]: Simplify (* 1 1) into 1 29.413 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.413 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.414 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 29.414 * [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))))) 29.414 * [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)))))) 29.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.416 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.417 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.418 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 29.418 * [backup-simplify]: Simplify (+ 0 0) into 0 29.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 29.419 * [taylor]: Taking taylor expansion of J in K 29.419 * [backup-simplify]: Simplify J into J 29.419 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 29.420 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 29.420 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 29.420 * [taylor]: Taking taylor expansion of 2 in J 29.420 * [backup-simplify]: Simplify 2 into 2 29.420 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 29.420 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.420 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.420 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.420 * [taylor]: Taking taylor expansion of -1/2 in J 29.420 * [backup-simplify]: Simplify -1/2 into -1/2 29.420 * [taylor]: Taking taylor expansion of K in J 29.420 * [backup-simplify]: Simplify K into K 29.420 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.420 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.420 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.420 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.420 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.420 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.420 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.420 * [taylor]: Taking taylor expansion of 1 in J 29.420 * [backup-simplify]: Simplify 1 into 1 29.420 * [taylor]: Taking taylor expansion of 1 in J 29.420 * [backup-simplify]: Simplify 1 into 1 29.420 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.421 * [taylor]: Taking taylor expansion of 1/2 in J 29.421 * [backup-simplify]: Simplify 1/2 into 1/2 29.421 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.421 * [taylor]: Taking taylor expansion of J in J 29.421 * [backup-simplify]: Simplify 0 into 0 29.421 * [backup-simplify]: Simplify 1 into 1 29.421 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.421 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.421 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.421 * [taylor]: Taking taylor expansion of -1/2 in J 29.421 * [backup-simplify]: Simplify -1/2 into -1/2 29.421 * [taylor]: Taking taylor expansion of K in J 29.421 * [backup-simplify]: Simplify K into K 29.421 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.421 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.421 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.421 * [taylor]: Taking taylor expansion of U in J 29.421 * [backup-simplify]: Simplify U into U 29.421 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.421 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.422 * [backup-simplify]: Simplify (- 0) into 0 29.422 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.422 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.422 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.422 * [taylor]: Taking taylor expansion of 1/2 in J 29.422 * [backup-simplify]: Simplify 1/2 into 1/2 29.422 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.422 * [taylor]: Taking taylor expansion of J in J 29.422 * [backup-simplify]: Simplify 0 into 0 29.422 * [backup-simplify]: Simplify 1 into 1 29.422 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.422 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.422 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.422 * [taylor]: Taking taylor expansion of -1/2 in J 29.422 * [backup-simplify]: Simplify -1/2 into -1/2 29.422 * [taylor]: Taking taylor expansion of K in J 29.422 * [backup-simplify]: Simplify K into K 29.422 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.423 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.423 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.423 * [taylor]: Taking taylor expansion of U in J 29.423 * [backup-simplify]: Simplify U into U 29.423 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.423 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.423 * [backup-simplify]: Simplify (- 0) into 0 29.423 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.423 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.424 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.424 * [backup-simplify]: Simplify (* 1 1) into 1 29.424 * [backup-simplify]: Simplify (+ 1 0) into 1 29.425 * [backup-simplify]: Simplify (sqrt 1) into 1 29.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.426 * [backup-simplify]: Simplify (+ 0 0) into 0 29.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.427 * [taylor]: Taking taylor expansion of J in J 29.427 * [backup-simplify]: Simplify 0 into 0 29.427 * [backup-simplify]: Simplify 1 into 1 29.427 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.427 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.427 * [backup-simplify]: Simplify (- 0) into 0 29.427 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.427 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.428 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.428 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.428 * [taylor]: Taking taylor expansion of 2 in U 29.428 * [backup-simplify]: Simplify 2 into 2 29.428 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.428 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.428 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.428 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.428 * [taylor]: Taking taylor expansion of -1/2 in U 29.428 * [backup-simplify]: Simplify -1/2 into -1/2 29.428 * [taylor]: Taking taylor expansion of K in U 29.428 * [backup-simplify]: Simplify K into K 29.428 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.428 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.428 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.428 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.428 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.428 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.428 * [taylor]: Taking taylor expansion of 1 in U 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of 1 in U 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.428 * [taylor]: Taking taylor expansion of 1/2 in U 29.428 * [backup-simplify]: Simplify 1/2 into 1/2 29.429 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.429 * [taylor]: Taking taylor expansion of J in U 29.429 * [backup-simplify]: Simplify J into J 29.429 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.429 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.429 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.429 * [taylor]: Taking taylor expansion of -1/2 in U 29.429 * [backup-simplify]: Simplify -1/2 into -1/2 29.429 * [taylor]: Taking taylor expansion of K in U 29.429 * [backup-simplify]: Simplify K into K 29.429 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.429 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.429 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.429 * [taylor]: Taking taylor expansion of U in U 29.429 * [backup-simplify]: Simplify 0 into 0 29.429 * [backup-simplify]: Simplify 1 into 1 29.430 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.430 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.430 * [backup-simplify]: Simplify (- 0) into 0 29.430 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.430 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.431 * [backup-simplify]: Simplify (+ 0) into 0 29.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.432 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.433 * [backup-simplify]: Simplify (- 0) into 0 29.433 * [backup-simplify]: Simplify (+ 0 0) into 0 29.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.434 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.434 * [taylor]: Taking taylor expansion of 1/2 in U 29.434 * [backup-simplify]: Simplify 1/2 into 1/2 29.434 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.434 * [taylor]: Taking taylor expansion of J in U 29.434 * [backup-simplify]: Simplify J into J 29.434 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.434 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.434 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.434 * [taylor]: Taking taylor expansion of -1/2 in U 29.434 * [backup-simplify]: Simplify -1/2 into -1/2 29.434 * [taylor]: Taking taylor expansion of K in U 29.434 * [backup-simplify]: Simplify K into K 29.434 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.434 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.434 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.434 * [taylor]: Taking taylor expansion of U in U 29.434 * [backup-simplify]: Simplify 0 into 0 29.435 * [backup-simplify]: Simplify 1 into 1 29.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.435 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.435 * [backup-simplify]: Simplify (- 0) into 0 29.435 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.436 * [backup-simplify]: Simplify (+ 0) into 0 29.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.436 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.438 * [backup-simplify]: Simplify (- 0) into 0 29.438 * [backup-simplify]: Simplify (+ 0 0) into 0 29.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.439 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.439 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.439 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.439 * [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))) 29.440 * [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))) 29.440 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.443 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.443 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.444 * [backup-simplify]: Simplify (- 0) into 0 29.444 * [backup-simplify]: Simplify (+ 0 0) into 0 29.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.445 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.449 * [backup-simplify]: Simplify (- 0) into 0 29.450 * [backup-simplify]: Simplify (+ 0 0) into 0 29.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.451 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.451 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.452 * [backup-simplify]: Simplify (+ 0 0) into 0 29.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.452 * [taylor]: Taking taylor expansion of J in U 29.452 * [backup-simplify]: Simplify J into J 29.452 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.452 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.453 * [backup-simplify]: Simplify (- 0) into 0 29.453 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.453 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.453 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.453 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.453 * [taylor]: Taking taylor expansion of 2 in U 29.453 * [backup-simplify]: Simplify 2 into 2 29.453 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.453 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.453 * [taylor]: Taking taylor expansion of -1/2 in U 29.453 * [backup-simplify]: Simplify -1/2 into -1/2 29.453 * [taylor]: Taking taylor expansion of K in U 29.453 * [backup-simplify]: Simplify K into K 29.453 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.453 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.454 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.454 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.454 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.454 * [taylor]: Taking taylor expansion of 1 in U 29.454 * [backup-simplify]: Simplify 1 into 1 29.454 * [taylor]: Taking taylor expansion of 1 in U 29.454 * [backup-simplify]: Simplify 1 into 1 29.454 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.454 * [taylor]: Taking taylor expansion of 1/2 in U 29.454 * [backup-simplify]: Simplify 1/2 into 1/2 29.454 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.454 * [taylor]: Taking taylor expansion of J in U 29.454 * [backup-simplify]: Simplify J into J 29.454 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.454 * [taylor]: Taking taylor expansion of -1/2 in U 29.454 * [backup-simplify]: Simplify -1/2 into -1/2 29.454 * [taylor]: Taking taylor expansion of K in U 29.454 * [backup-simplify]: Simplify K into K 29.454 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.454 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.454 * [taylor]: Taking taylor expansion of U in U 29.454 * [backup-simplify]: Simplify 0 into 0 29.454 * [backup-simplify]: Simplify 1 into 1 29.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.455 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.455 * [backup-simplify]: Simplify (- 0) into 0 29.455 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.456 * [backup-simplify]: Simplify (+ 0) into 0 29.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.458 * [backup-simplify]: Simplify (- 0) into 0 29.458 * [backup-simplify]: Simplify (+ 0 0) into 0 29.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.459 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.459 * [taylor]: Taking taylor expansion of 1/2 in U 29.459 * [backup-simplify]: Simplify 1/2 into 1/2 29.459 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.459 * [taylor]: Taking taylor expansion of J in U 29.459 * [backup-simplify]: Simplify J into J 29.459 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.459 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.459 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.459 * [taylor]: Taking taylor expansion of -1/2 in U 29.459 * [backup-simplify]: Simplify -1/2 into -1/2 29.459 * [taylor]: Taking taylor expansion of K in U 29.459 * [backup-simplify]: Simplify K into K 29.459 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.459 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.459 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.459 * [taylor]: Taking taylor expansion of U in U 29.459 * [backup-simplify]: Simplify 0 into 0 29.459 * [backup-simplify]: Simplify 1 into 1 29.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.460 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.460 * [backup-simplify]: Simplify (- 0) into 0 29.460 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.461 * [backup-simplify]: Simplify (+ 0) into 0 29.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.462 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.463 * [backup-simplify]: Simplify (- 0) into 0 29.464 * [backup-simplify]: Simplify (+ 0 0) into 0 29.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.464 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.464 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.464 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.465 * [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))) 29.465 * [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))) 29.465 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.466 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.468 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.469 * [backup-simplify]: Simplify (- 0) into 0 29.469 * [backup-simplify]: Simplify (+ 0 0) into 0 29.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.470 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.475 * [backup-simplify]: Simplify (- 0) into 0 29.475 * [backup-simplify]: Simplify (+ 0 0) into 0 29.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.477 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.477 * [backup-simplify]: Simplify (+ 0 0) into 0 29.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.478 * [taylor]: Taking taylor expansion of J in U 29.478 * [backup-simplify]: Simplify J into J 29.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.478 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.478 * [backup-simplify]: Simplify (- 0) into 0 29.478 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.479 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.479 * [backup-simplify]: Simplify (* 2 1/2) into 1 29.479 * [taylor]: Taking taylor expansion of 1 in J 29.479 * [backup-simplify]: Simplify 1 into 1 29.480 * [backup-simplify]: Simplify (+ 0) into 0 29.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.482 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.482 * [backup-simplify]: Simplify (- 0) into 0 29.482 * [backup-simplify]: Simplify (+ 0 0) into 0 29.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.483 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.483 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 29.483 * [taylor]: Taking taylor expansion of 0 in J 29.484 * [backup-simplify]: Simplify 0 into 0 29.484 * [taylor]: Taking taylor expansion of 1 in K 29.484 * [backup-simplify]: Simplify 1 into 1 29.484 * [backup-simplify]: Simplify 1 into 1 29.484 * [backup-simplify]: Simplify (* 1 1) into 1 29.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.488 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.489 * [backup-simplify]: Simplify (- 0) into 0 29.489 * [backup-simplify]: Simplify (+ 0 0) into 0 29.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.491 * [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 29.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.492 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.496 * [backup-simplify]: Simplify (- 0) into 0 29.496 * [backup-simplify]: Simplify (+ 0 0) into 0 29.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.498 * [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 29.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.500 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 29.501 * [backup-simplify]: Simplify (+ 1 0) into 1 29.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 29.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.504 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.505 * [backup-simplify]: Simplify (- 0) into 0 29.506 * [backup-simplify]: Simplify (+ 0 0) into 0 29.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 29.507 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 29.508 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 29.508 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 29.508 * [taylor]: Taking taylor expansion of 2 in J 29.508 * [backup-simplify]: Simplify 2 into 2 29.508 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 29.508 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.508 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.508 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.508 * [taylor]: Taking taylor expansion of -1/2 in J 29.508 * [backup-simplify]: Simplify -1/2 into -1/2 29.508 * [taylor]: Taking taylor expansion of K in J 29.508 * [backup-simplify]: Simplify K into K 29.508 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.508 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.508 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.508 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.509 * [backup-simplify]: Simplify (- 0) into 0 29.509 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.509 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.509 * [taylor]: Taking taylor expansion of J in J 29.509 * [backup-simplify]: Simplify 0 into 0 29.509 * [backup-simplify]: Simplify 1 into 1 29.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.509 * [backup-simplify]: Simplify (* 1 1) into 1 29.509 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 29.510 * [backup-simplify]: Simplify (+ 0) into 0 29.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.511 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.511 * [backup-simplify]: Simplify (- 0) into 0 29.511 * [backup-simplify]: Simplify (+ 0 0) into 0 29.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 29.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 29.512 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 29.512 * [taylor]: Taking taylor expansion of 0 in K 29.512 * [backup-simplify]: Simplify 0 into 0 29.513 * [backup-simplify]: Simplify 0 into 0 29.513 * [taylor]: Taking taylor expansion of 0 in K 29.513 * [backup-simplify]: Simplify 0 into 0 29.513 * [backup-simplify]: Simplify 0 into 0 29.513 * [taylor]: Taking taylor expansion of 0 in K 29.513 * [backup-simplify]: Simplify 0 into 0 29.513 * [backup-simplify]: Simplify 0 into 0 29.513 * [backup-simplify]: Simplify 0 into 0 29.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.514 * [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 29.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.516 * [backup-simplify]: Simplify (- 0) into 0 29.517 * [backup-simplify]: Simplify (+ 0 0) into 0 29.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.517 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 29.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 29.519 * [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 29.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.520 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.521 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.522 * [backup-simplify]: Simplify (- 0) into 0 29.522 * [backup-simplify]: Simplify (+ 0 0) into 0 29.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.523 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 29.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 29.524 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 29.524 * [backup-simplify]: Simplify (+ 0 0) into 0 29.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.527 * [backup-simplify]: Simplify (- 0) into 0 29.528 * [backup-simplify]: Simplify (+ 0 0) into 0 29.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 29.528 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 29.529 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 29.529 * [taylor]: Taking taylor expansion of 0 in J 29.529 * [backup-simplify]: Simplify 0 into 0 29.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.531 * [backup-simplify]: Simplify (- 0) into 0 29.531 * [backup-simplify]: Simplify (+ 0 0) into 0 29.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 29.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 29.534 * [taylor]: Taking taylor expansion of 0 in K 29.534 * [backup-simplify]: Simplify 0 into 0 29.534 * [backup-simplify]: Simplify 0 into 0 29.534 * [taylor]: Taking taylor expansion of 0 in K 29.534 * [backup-simplify]: Simplify 0 into 0 29.534 * [backup-simplify]: Simplify 0 into 0 29.534 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 29.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 29.534 * [backup-simplify]: Simplify (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) into (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) 29.534 * [approximate]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in (U J K) around 0 29.534 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in K 29.534 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in K 29.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in K 29.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in K 29.534 * [taylor]: Taking taylor expansion of 1/3 in K 29.534 * [backup-simplify]: Simplify 1/3 into 1/3 29.534 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 29.534 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 29.534 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.534 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.534 * [taylor]: Taking taylor expansion of 1/2 in K 29.534 * [backup-simplify]: Simplify 1/2 into 1/2 29.534 * [taylor]: Taking taylor expansion of K in K 29.534 * [backup-simplify]: Simplify 0 into 0 29.535 * [backup-simplify]: Simplify 1 into 1 29.535 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.535 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.535 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 29.535 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.535 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 29.535 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.535 * [taylor]: Taking taylor expansion of 1 in K 29.535 * [backup-simplify]: Simplify 1 into 1 29.535 * [taylor]: Taking taylor expansion of 1 in K 29.535 * [backup-simplify]: Simplify 1 into 1 29.535 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.535 * [taylor]: Taking taylor expansion of 1/2 in K 29.535 * [backup-simplify]: Simplify 1/2 into 1/2 29.535 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.535 * [taylor]: Taking taylor expansion of U in K 29.535 * [backup-simplify]: Simplify U into U 29.536 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.536 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.536 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.536 * [taylor]: Taking taylor expansion of 1/2 in K 29.536 * [backup-simplify]: Simplify 1/2 into 1/2 29.536 * [taylor]: Taking taylor expansion of K in K 29.536 * [backup-simplify]: Simplify 0 into 0 29.536 * [backup-simplify]: Simplify 1 into 1 29.536 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.536 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.536 * [taylor]: Taking taylor expansion of J in K 29.536 * [backup-simplify]: Simplify J into J 29.536 * [backup-simplify]: Simplify (* 1 J) into J 29.536 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.536 * [taylor]: Taking taylor expansion of 1/2 in K 29.536 * [backup-simplify]: Simplify 1/2 into 1/2 29.536 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.536 * [taylor]: Taking taylor expansion of U in K 29.536 * [backup-simplify]: Simplify U into U 29.536 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.537 * [taylor]: Taking taylor expansion of 1/2 in K 29.537 * [backup-simplify]: Simplify 1/2 into 1/2 29.537 * [taylor]: Taking taylor expansion of K in K 29.537 * [backup-simplify]: Simplify 0 into 0 29.537 * [backup-simplify]: Simplify 1 into 1 29.537 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.538 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.538 * [taylor]: Taking taylor expansion of J in K 29.538 * [backup-simplify]: Simplify J into J 29.538 * [backup-simplify]: Simplify (* 1 J) into J 29.538 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.538 * [backup-simplify]: Simplify (* 1 1) into 1 29.538 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.538 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.538 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 29.539 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 29.539 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 29.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.545 * [backup-simplify]: Simplify (+ 0) into 0 29.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.546 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.547 * [backup-simplify]: Simplify (+ 0) into 0 29.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.547 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.548 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 29.548 * [backup-simplify]: Simplify (+ 0 0) into 0 29.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 29.549 * [taylor]: Taking taylor expansion of J in K 29.549 * [backup-simplify]: Simplify J into J 29.549 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) J) into (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 29.549 * [backup-simplify]: Simplify (* 1 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 29.550 * [backup-simplify]: Simplify (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 29.550 * [backup-simplify]: Simplify (* 1/3 (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (* 1/3 (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 29.550 * [backup-simplify]: Simplify (exp (* 1/3 (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (pow (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3) 29.550 * [taylor]: Taking taylor expansion of (cbrt -2) in K 29.550 * [taylor]: Taking taylor expansion of -2 in K 29.550 * [backup-simplify]: Simplify -2 into -2 29.551 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.552 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.552 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in J 29.552 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in J 29.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in J 29.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in J 29.552 * [taylor]: Taking taylor expansion of 1/3 in J 29.552 * [backup-simplify]: Simplify 1/3 into 1/3 29.552 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 29.552 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 29.552 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.552 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.552 * [taylor]: Taking taylor expansion of 1/2 in J 29.552 * [backup-simplify]: Simplify 1/2 into 1/2 29.552 * [taylor]: Taking taylor expansion of K in J 29.552 * [backup-simplify]: Simplify K into K 29.552 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.553 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.553 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.553 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 29.553 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.553 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 29.553 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.553 * [taylor]: Taking taylor expansion of 1 in J 29.553 * [backup-simplify]: Simplify 1 into 1 29.553 * [taylor]: Taking taylor expansion of 1 in J 29.553 * [backup-simplify]: Simplify 1 into 1 29.553 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.553 * [taylor]: Taking taylor expansion of 1/2 in J 29.553 * [backup-simplify]: Simplify 1/2 into 1/2 29.553 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.553 * [taylor]: Taking taylor expansion of U in J 29.553 * [backup-simplify]: Simplify U into U 29.553 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.553 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.553 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.553 * [taylor]: Taking taylor expansion of 1/2 in J 29.553 * [backup-simplify]: Simplify 1/2 into 1/2 29.553 * [taylor]: Taking taylor expansion of K in J 29.553 * [backup-simplify]: Simplify K into K 29.553 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.553 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.553 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.553 * [taylor]: Taking taylor expansion of J in J 29.553 * [backup-simplify]: Simplify 0 into 0 29.553 * [backup-simplify]: Simplify 1 into 1 29.553 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.553 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.554 * [backup-simplify]: Simplify (- 0) into 0 29.554 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.554 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.554 * [backup-simplify]: Simplify (+ 0) into 0 29.554 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.555 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.556 * [backup-simplify]: Simplify (- 0) into 0 29.556 * [backup-simplify]: Simplify (+ 0 0) into 0 29.556 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.556 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.556 * [taylor]: Taking taylor expansion of 1/2 in J 29.556 * [backup-simplify]: Simplify 1/2 into 1/2 29.556 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.556 * [taylor]: Taking taylor expansion of U in J 29.556 * [backup-simplify]: Simplify U into U 29.556 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.556 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.556 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.556 * [taylor]: Taking taylor expansion of 1/2 in J 29.556 * [backup-simplify]: Simplify 1/2 into 1/2 29.556 * [taylor]: Taking taylor expansion of K in J 29.556 * [backup-simplify]: Simplify K into K 29.556 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.556 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.557 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.557 * [taylor]: Taking taylor expansion of J in J 29.557 * [backup-simplify]: Simplify 0 into 0 29.557 * [backup-simplify]: Simplify 1 into 1 29.557 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.557 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.557 * [backup-simplify]: Simplify (- 0) into 0 29.557 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.557 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.557 * [backup-simplify]: Simplify (+ 0) into 0 29.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.558 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.559 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.559 * [backup-simplify]: Simplify (- 0) into 0 29.559 * [backup-simplify]: Simplify (+ 0 0) into 0 29.559 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.559 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.560 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.560 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.560 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 29.560 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 29.560 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.562 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.562 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.562 * [backup-simplify]: Simplify (- 0) into 0 29.563 * [backup-simplify]: Simplify (+ 0 0) into 0 29.563 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.563 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.565 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.566 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.566 * [backup-simplify]: Simplify (- 0) into 0 29.566 * [backup-simplify]: Simplify (+ 0 0) into 0 29.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.567 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.567 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 29.568 * [backup-simplify]: Simplify (+ 0 0) into 0 29.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 29.568 * [taylor]: Taking taylor expansion of J in J 29.568 * [backup-simplify]: Simplify 0 into 0 29.568 * [backup-simplify]: Simplify 1 into 1 29.568 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.568 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.568 * [backup-simplify]: Simplify (- 0) into 0 29.568 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.568 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) into 0 29.568 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.569 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 1) (* 0 0)) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.569 * [backup-simplify]: Simplify (+ 0) into 0 29.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.570 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.571 * [backup-simplify]: Simplify (- 0) into 0 29.571 * [backup-simplify]: Simplify (+ 0 0) into 0 29.571 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)) into (* 1/2 U) 29.571 * [backup-simplify]: Simplify (log (* 1/2 U)) into (log (* 1/2 U)) 29.571 * [backup-simplify]: Simplify (* 1/3 (log (* 1/2 U))) into (* 1/3 (log (* 1/2 U))) 29.571 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 1/2 U)))) into (pow (* 1/2 U) 1/3) 29.571 * [taylor]: Taking taylor expansion of (cbrt -2) in J 29.571 * [taylor]: Taking taylor expansion of -2 in J 29.571 * [backup-simplify]: Simplify -2 into -2 29.572 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.572 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.572 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in U 29.572 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in U 29.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in U 29.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in U 29.572 * [taylor]: Taking taylor expansion of 1/3 in U 29.572 * [backup-simplify]: Simplify 1/3 into 1/3 29.572 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 29.572 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 29.572 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.572 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.572 * [taylor]: Taking taylor expansion of 1/2 in U 29.572 * [backup-simplify]: Simplify 1/2 into 1/2 29.572 * [taylor]: Taking taylor expansion of K in U 29.572 * [backup-simplify]: Simplify K into K 29.572 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.572 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.572 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.572 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 29.572 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.572 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.573 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 29.573 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.573 * [taylor]: Taking taylor expansion of 1 in U 29.573 * [backup-simplify]: Simplify 1 into 1 29.573 * [taylor]: Taking taylor expansion of 1 in U 29.573 * [backup-simplify]: Simplify 1 into 1 29.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.573 * [taylor]: Taking taylor expansion of 1/2 in U 29.573 * [backup-simplify]: Simplify 1/2 into 1/2 29.573 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.573 * [taylor]: Taking taylor expansion of U in U 29.573 * [backup-simplify]: Simplify 0 into 0 29.573 * [backup-simplify]: Simplify 1 into 1 29.573 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.573 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.573 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.573 * [taylor]: Taking taylor expansion of 1/2 in U 29.573 * [backup-simplify]: Simplify 1/2 into 1/2 29.573 * [taylor]: Taking taylor expansion of K in U 29.573 * [backup-simplify]: Simplify K into K 29.573 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.573 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.573 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.573 * [taylor]: Taking taylor expansion of J in U 29.573 * [backup-simplify]: Simplify J into J 29.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.573 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.573 * [backup-simplify]: Simplify (- 0) into 0 29.573 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.573 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.573 * [taylor]: Taking taylor expansion of 1/2 in U 29.574 * [backup-simplify]: Simplify 1/2 into 1/2 29.574 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.574 * [taylor]: Taking taylor expansion of U in U 29.574 * [backup-simplify]: Simplify 0 into 0 29.574 * [backup-simplify]: Simplify 1 into 1 29.574 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.574 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.574 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.574 * [taylor]: Taking taylor expansion of 1/2 in U 29.574 * [backup-simplify]: Simplify 1/2 into 1/2 29.574 * [taylor]: Taking taylor expansion of K in U 29.574 * [backup-simplify]: Simplify K into K 29.574 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.574 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.574 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.574 * [taylor]: Taking taylor expansion of J in U 29.574 * [backup-simplify]: Simplify J into J 29.574 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.574 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.574 * [backup-simplify]: Simplify (- 0) into 0 29.574 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.574 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.574 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.575 * [backup-simplify]: Simplify (* 1 1) into 1 29.575 * [backup-simplify]: Simplify (+ 1 0) into 1 29.575 * [backup-simplify]: Simplify (sqrt 1) into 1 29.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.576 * [backup-simplify]: Simplify (+ 0 0) into 0 29.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.576 * [taylor]: Taking taylor expansion of J in U 29.576 * [backup-simplify]: Simplify J into J 29.576 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.576 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.576 * [backup-simplify]: Simplify (- 0) into 0 29.576 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.577 * [backup-simplify]: Simplify (* 1 J) into J 29.577 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.577 * [backup-simplify]: Simplify (log (* (cos (* 1/2 K)) J)) into (log (* (cos (* 1/2 K)) J)) 29.577 * [backup-simplify]: Simplify (* 1/3 (log (* (cos (* 1/2 K)) J))) into (* 1/3 (log (* (cos (* 1/2 K)) J))) 29.577 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) into (pow (* (cos (* 1/2 K)) J) 1/3) 29.577 * [taylor]: Taking taylor expansion of (cbrt -2) in U 29.577 * [taylor]: Taking taylor expansion of -2 in U 29.577 * [backup-simplify]: Simplify -2 into -2 29.577 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.578 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.578 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in U 29.578 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in U 29.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in U 29.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in U 29.578 * [taylor]: Taking taylor expansion of 1/3 in U 29.578 * [backup-simplify]: Simplify 1/3 into 1/3 29.578 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 29.578 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 29.578 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.578 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.578 * [taylor]: Taking taylor expansion of 1/2 in U 29.578 * [backup-simplify]: Simplify 1/2 into 1/2 29.578 * [taylor]: Taking taylor expansion of K in U 29.578 * [backup-simplify]: Simplify K into K 29.578 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.578 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.578 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.578 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 29.578 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.578 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 29.578 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.578 * [taylor]: Taking taylor expansion of 1 in U 29.578 * [backup-simplify]: Simplify 1 into 1 29.578 * [taylor]: Taking taylor expansion of 1 in U 29.578 * [backup-simplify]: Simplify 1 into 1 29.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.578 * [taylor]: Taking taylor expansion of 1/2 in U 29.578 * [backup-simplify]: Simplify 1/2 into 1/2 29.578 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.578 * [taylor]: Taking taylor expansion of U in U 29.578 * [backup-simplify]: Simplify 0 into 0 29.578 * [backup-simplify]: Simplify 1 into 1 29.578 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.578 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.578 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.578 * [taylor]: Taking taylor expansion of 1/2 in U 29.578 * [backup-simplify]: Simplify 1/2 into 1/2 29.578 * [taylor]: Taking taylor expansion of K in U 29.578 * [backup-simplify]: Simplify K into K 29.578 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.578 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.578 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.578 * [taylor]: Taking taylor expansion of J in U 29.579 * [backup-simplify]: Simplify J into J 29.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.579 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.579 * [backup-simplify]: Simplify (- 0) into 0 29.579 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.579 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.579 * [taylor]: Taking taylor expansion of 1/2 in U 29.579 * [backup-simplify]: Simplify 1/2 into 1/2 29.579 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.579 * [taylor]: Taking taylor expansion of U in U 29.579 * [backup-simplify]: Simplify 0 into 0 29.579 * [backup-simplify]: Simplify 1 into 1 29.579 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.579 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.579 * [taylor]: Taking taylor expansion of 1/2 in U 29.579 * [backup-simplify]: Simplify 1/2 into 1/2 29.579 * [taylor]: Taking taylor expansion of K in U 29.579 * [backup-simplify]: Simplify K into K 29.579 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.579 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.579 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.579 * [taylor]: Taking taylor expansion of J in U 29.579 * [backup-simplify]: Simplify J into J 29.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.579 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.580 * [backup-simplify]: Simplify (- 0) into 0 29.580 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.580 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.580 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.580 * [backup-simplify]: Simplify (* 1 1) into 1 29.580 * [backup-simplify]: Simplify (+ 1 0) into 1 29.581 * [backup-simplify]: Simplify (sqrt 1) into 1 29.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.581 * [backup-simplify]: Simplify (+ 0 0) into 0 29.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.582 * [taylor]: Taking taylor expansion of J in U 29.582 * [backup-simplify]: Simplify J into J 29.582 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.582 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.583 * [backup-simplify]: Simplify (- 0) into 0 29.583 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.583 * [backup-simplify]: Simplify (* 1 J) into J 29.583 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.583 * [backup-simplify]: Simplify (log (* (cos (* 1/2 K)) J)) into (log (* (cos (* 1/2 K)) J)) 29.583 * [backup-simplify]: Simplify (* 1/3 (log (* (cos (* 1/2 K)) J))) into (* 1/3 (log (* (cos (* 1/2 K)) J))) 29.583 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) into (pow (* (cos (* 1/2 K)) J) 1/3) 29.583 * [taylor]: Taking taylor expansion of (cbrt -2) in U 29.583 * [taylor]: Taking taylor expansion of -2 in U 29.583 * [backup-simplify]: Simplify -2 into -2 29.584 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.584 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.585 * [backup-simplify]: Simplify (* (pow (* (cos (* 1/2 K)) J) 1/3) (cbrt -2)) into (* (pow (* (cos (* 1/2 K)) J) 1/3) (cbrt -2)) 29.585 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) J) 1/3) (cbrt -2)) in J 29.585 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in J 29.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in J 29.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in J 29.585 * [taylor]: Taking taylor expansion of 1/3 in J 29.585 * [backup-simplify]: Simplify 1/3 into 1/3 29.585 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in J 29.585 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.586 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.586 * [taylor]: Taking taylor expansion of 1/2 in J 29.586 * [backup-simplify]: Simplify 1/2 into 1/2 29.586 * [taylor]: Taking taylor expansion of K in J 29.586 * [backup-simplify]: Simplify K into K 29.586 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.586 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.586 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.586 * [taylor]: Taking taylor expansion of J in J 29.586 * [backup-simplify]: Simplify 0 into 0 29.586 * [backup-simplify]: Simplify 1 into 1 29.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.586 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.586 * [backup-simplify]: Simplify (- 0) into 0 29.587 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.587 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.587 * [backup-simplify]: Simplify (+ 0) into 0 29.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.589 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.589 * [backup-simplify]: Simplify (- 0) into 0 29.590 * [backup-simplify]: Simplify (+ 0 0) into 0 29.590 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.590 * [backup-simplify]: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) 29.591 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 29.591 * [backup-simplify]: Simplify (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) into (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) 29.591 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) into (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 29.591 * [taylor]: Taking taylor expansion of (cbrt -2) in J 29.591 * [taylor]: Taking taylor expansion of -2 in J 29.591 * [backup-simplify]: Simplify -2 into -2 29.592 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.592 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.593 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) (cbrt -2)) into (* (cbrt -2) (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K))))))) 29.593 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K))))))) in K 29.593 * [taylor]: Taking taylor expansion of (cbrt -2) in K 29.593 * [taylor]: Taking taylor expansion of -2 in K 29.593 * [backup-simplify]: Simplify -2 into -2 29.594 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.594 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) in K 29.594 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) in K 29.594 * [taylor]: Taking taylor expansion of 1/3 in K 29.594 * [backup-simplify]: Simplify 1/3 into 1/3 29.594 * [taylor]: Taking taylor expansion of (+ (log J) (log (cos (* 1/2 K)))) in K 29.594 * [taylor]: Taking taylor expansion of (log J) in K 29.594 * [taylor]: Taking taylor expansion of J in K 29.594 * [backup-simplify]: Simplify J into J 29.595 * [backup-simplify]: Simplify (log J) into (log J) 29.595 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 29.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.595 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.595 * [taylor]: Taking taylor expansion of 1/2 in K 29.595 * [backup-simplify]: Simplify 1/2 into 1/2 29.595 * [taylor]: Taking taylor expansion of K in K 29.595 * [backup-simplify]: Simplify 0 into 0 29.595 * [backup-simplify]: Simplify 1 into 1 29.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.596 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.596 * [backup-simplify]: Simplify (log 1) into 0 29.596 * [backup-simplify]: Simplify (+ (log J) 0) into (log J) 29.596 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 29.596 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 29.597 * [backup-simplify]: Simplify (* (cbrt -2) (pow J 1/3)) into (* (cbrt -2) (pow J 1/3)) 29.597 * [backup-simplify]: Simplify (* (cbrt -2) (pow J 1/3)) into (* (cbrt -2) (pow J 1/3)) 29.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.598 * [backup-simplify]: Simplify (+ 0) into 0 29.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.599 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.599 * [backup-simplify]: Simplify (- 0) into 0 29.600 * [backup-simplify]: Simplify (+ 0 0) into 0 29.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cos (* 1/2 K)) J) 1)))) 1) into 0 29.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (cos (* 1/2 K)) J)))) into 0 29.601 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.602 * [backup-simplify]: Simplify (+ (* (pow (* (cos (* 1/2 K)) J) 1/3) 0) (* 0 (cbrt -2))) into 0 29.602 * [taylor]: Taking taylor expansion of 0 in J 29.602 * [backup-simplify]: Simplify 0 into 0 29.602 * [taylor]: Taking taylor expansion of 0 in K 29.602 * [backup-simplify]: Simplify 0 into 0 29.602 * [backup-simplify]: Simplify 0 into 0 29.602 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.604 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.604 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.605 * [backup-simplify]: Simplify (- 0) into 0 29.605 * [backup-simplify]: Simplify (+ 0 0) into 0 29.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 29.606 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 29.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (cos (* 1/2 K)))))) into 0 29.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.607 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 0) (* 0 (cbrt -2))) into 0 29.607 * [taylor]: Taking taylor expansion of 0 in K 29.607 * [backup-simplify]: Simplify 0 into 0 29.607 * [backup-simplify]: Simplify 0 into 0 29.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 29.608 * [backup-simplify]: Simplify (+ 0) into 0 29.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 29.609 * [backup-simplify]: Simplify (+ 0 0) into 0 29.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 29.610 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 29.610 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (pow J 1/3))) into 0 29.610 * [backup-simplify]: Simplify 0 into 0 29.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 29.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.612 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.612 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.612 * [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))) 29.612 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 29.613 * [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))) 29.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 29.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.615 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.616 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.616 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.616 * [backup-simplify]: Simplify (- 0) into 0 29.616 * [backup-simplify]: Simplify (+ 0 0) into 0 29.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 29.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cos (* 1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) 1)) (pow (* (cos (* 1/2 K)) J) 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 29.618 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (log (* (cos (* 1/2 K)) J))))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 29.619 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (* 1/24 (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3)) 29.620 * [backup-simplify]: Simplify (+ (* (pow (* (cos (* 1/2 K)) J) 1/3) 0) (+ (* 0 0) (* (* 1/24 (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3)) (cbrt -2)))) into (* 1/24 (* (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) (cbrt -2))) 29.620 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) (cbrt -2))) in J 29.620 * [taylor]: Taking taylor expansion of 1/24 in J 29.620 * [backup-simplify]: Simplify 1/24 into 1/24 29.620 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) (cbrt -2)) in J 29.620 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) in J 29.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5)))))) in J 29.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))))) in J 29.620 * [taylor]: Taking taylor expansion of 1/3 in J 29.620 * [backup-simplify]: Simplify 1/3 into 1/3 29.620 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5)))) in J 29.620 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) in J 29.620 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 5) (pow J 5)) in J 29.620 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 5) in J 29.620 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.620 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.620 * [taylor]: Taking taylor expansion of 1/2 in J 29.620 * [backup-simplify]: Simplify 1/2 into 1/2 29.620 * [taylor]: Taking taylor expansion of K in J 29.620 * [backup-simplify]: Simplify K into K 29.620 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.620 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.620 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.620 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.620 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.620 * [backup-simplify]: Simplify (- 0) into 0 29.620 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.620 * [taylor]: Taking taylor expansion of (pow J 5) in J 29.621 * [taylor]: Taking taylor expansion of J in J 29.621 * [backup-simplify]: Simplify 0 into 0 29.621 * [backup-simplify]: Simplify 1 into 1 29.621 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 29.621 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4) 29.621 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 4)) into (pow (cos (* 1/2 K)) 5) 29.621 * [backup-simplify]: Simplify (* 1 1) into 1 29.621 * [backup-simplify]: Simplify (* 1 1) into 1 29.621 * [backup-simplify]: Simplify (* 1 1) into 1 29.622 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 5) 1) into (pow (cos (* 1/2 K)) 5) 29.622 * [backup-simplify]: Simplify (/ 1 (pow (cos (* 1/2 K)) 5)) into (/ 1 (pow (cos (* 1/2 K)) 5)) 29.622 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (* 1/2 K)) 5))) into (log (/ 1 (pow (cos (* 1/2 K)) 5))) 29.622 * [backup-simplify]: Simplify (+ (* (- 5) (log J)) (log (/ 1 (pow (cos (* 1/2 K)) 5)))) into (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))) 29.622 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))) into (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))) 29.622 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) into (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) 29.622 * [taylor]: Taking taylor expansion of (cbrt -2) in J 29.622 * [taylor]: Taking taylor expansion of -2 in J 29.622 * [backup-simplify]: Simplify -2 into -2 29.623 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.623 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) (cbrt -2)) into (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))))) 29.624 * [backup-simplify]: Simplify (* 1/24 (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))))) into (* 1/24 (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))))) 29.624 * [taylor]: Taking taylor expansion of (* 1/24 (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))))) in K 29.624 * [taylor]: Taking taylor expansion of 1/24 in K 29.624 * [backup-simplify]: Simplify 1/24 into 1/24 29.624 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))))) in K 29.624 * [taylor]: Taking taylor expansion of (cbrt -2) in K 29.624 * [taylor]: Taking taylor expansion of -2 in K 29.624 * [backup-simplify]: Simplify -2 into -2 29.625 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.625 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) in K 29.625 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))) in K 29.625 * [taylor]: Taking taylor expansion of 1/3 in K 29.625 * [backup-simplify]: Simplify 1/3 into 1/3 29.625 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))) in K 29.625 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (* 1/2 K)) 5))) in K 29.625 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (* 1/2 K)) 5)) in K 29.625 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 5) in K 29.625 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.625 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.625 * [taylor]: Taking taylor expansion of 1/2 in K 29.625 * [backup-simplify]: Simplify 1/2 into 1/2 29.625 * [taylor]: Taking taylor expansion of K in K 29.626 * [backup-simplify]: Simplify 0 into 0 29.626 * [backup-simplify]: Simplify 1 into 1 29.626 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.627 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.627 * [backup-simplify]: Simplify (* 1 1) into 1 29.628 * [backup-simplify]: Simplify (* 1 1) into 1 29.628 * [backup-simplify]: Simplify (* 1 1) into 1 29.628 * [backup-simplify]: Simplify (/ 1 1) into 1 29.629 * [backup-simplify]: Simplify (log 1) into 0 29.629 * [taylor]: Taking taylor expansion of (* 5 (log J)) in K 29.629 * [taylor]: Taking taylor expansion of 5 in K 29.629 * [backup-simplify]: Simplify 5 into 5 29.629 * [taylor]: Taking taylor expansion of (log J) in K 29.629 * [taylor]: Taking taylor expansion of J in K 29.629 * [backup-simplify]: Simplify J into J 29.629 * [backup-simplify]: Simplify (log J) into (log J) 29.629 * [backup-simplify]: Simplify (* 5 (log J)) into (* 5 (log J)) 29.629 * [backup-simplify]: Simplify (- (* 5 (log J))) into (- (* 5 (log J))) 29.629 * [backup-simplify]: Simplify (+ 0 (- (* 5 (log J)))) into (- (* 5 (log J))) 29.629 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log J)))) into (* -5/3 (log J)) 29.629 * [backup-simplify]: Simplify (exp (* -5/3 (log J))) into (pow J -5/3) 29.630 * [backup-simplify]: Simplify (* (cbrt -2) (pow J -5/3)) into (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3)) 29.631 * [backup-simplify]: Simplify (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) into (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) 29.631 * [backup-simplify]: Simplify (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) into (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) 29.631 * [taylor]: Taking taylor expansion of 0 in K 29.631 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify 0 into 0 29.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 29.634 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.635 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 29.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.638 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.639 * [backup-simplify]: Simplify (- 0) into 0 29.639 * [backup-simplify]: Simplify (+ 0 0) into 0 29.640 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.642 * [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 29.642 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 29.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (cos (* 1/2 K))))))) into 0 29.645 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.646 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (cbrt -2)))) into 0 29.646 * [taylor]: Taking taylor expansion of 0 in K 29.646 * [backup-simplify]: Simplify 0 into 0 29.646 * [backup-simplify]: Simplify 0 into 0 29.646 * [backup-simplify]: Simplify 0 into 0 29.646 * [backup-simplify]: Simplify 0 into 0 29.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 29.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 29.652 * [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 29.652 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 29.653 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (log J)))) into (- 1/24) 29.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (pow J 1/3)) 29.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 29.663 * [backup-simplify]: Simplify (+ (* (cbrt -2) (* -1/24 (pow J 1/3))) (+ (* 0 0) (* 0 (pow J 1/3)))) into (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) 29.664 * [backup-simplify]: Simplify (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) into (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) 29.667 * [backup-simplify]: Simplify (+ (* (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) (pow (* K (* 1 1)) 2)) (+ (* (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) (pow (* 1 (* 1 U)) 2)) (* (cbrt -2) (pow J 1/3)))) into (- (+ (* (cbrt -2) (pow J 1/3)) (* 1/24 (* (* (pow U 2) (cbrt -2)) (pow (/ 1 (pow J 5)) 1/3)))) (* 1/24 (* (* (pow K 2) (cbrt -2)) (pow J 1/3)))) 29.668 * [backup-simplify]: Simplify (cbrt (* (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J)))) into (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) 29.668 * [approximate]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in (U J K) around 0 29.668 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in K 29.668 * [taylor]: Taking taylor expansion of (cbrt -2) in K 29.668 * [taylor]: Taking taylor expansion of -2 in K 29.668 * [backup-simplify]: Simplify -2 into -2 29.669 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.670 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.670 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in K 29.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in K 29.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in K 29.670 * [taylor]: Taking taylor expansion of 1/3 in K 29.670 * [backup-simplify]: Simplify 1/3 into 1/3 29.670 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 29.670 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 29.670 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 29.670 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.670 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 29.670 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.670 * [taylor]: Taking taylor expansion of 1 in K 29.670 * [backup-simplify]: Simplify 1 into 1 29.670 * [taylor]: Taking taylor expansion of 1 in K 29.670 * [backup-simplify]: Simplify 1 into 1 29.670 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.670 * [taylor]: Taking taylor expansion of 1/2 in K 29.670 * [backup-simplify]: Simplify 1/2 into 1/2 29.670 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.670 * [taylor]: Taking taylor expansion of J in K 29.670 * [backup-simplify]: Simplify J into J 29.670 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.670 * [taylor]: Taking taylor expansion of U in K 29.670 * [backup-simplify]: Simplify U into U 29.670 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.670 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.671 * [taylor]: Taking taylor expansion of 1/2 in K 29.671 * [backup-simplify]: Simplify 1/2 into 1/2 29.671 * [taylor]: Taking taylor expansion of K in K 29.671 * [backup-simplify]: Simplify 0 into 0 29.671 * [backup-simplify]: Simplify 1 into 1 29.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.671 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.671 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.671 * [taylor]: Taking taylor expansion of 1/2 in K 29.671 * [backup-simplify]: Simplify 1/2 into 1/2 29.672 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.672 * [taylor]: Taking taylor expansion of J in K 29.672 * [backup-simplify]: Simplify J into J 29.672 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.672 * [taylor]: Taking taylor expansion of U in K 29.672 * [backup-simplify]: Simplify U into U 29.672 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.672 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.672 * [taylor]: Taking taylor expansion of 1/2 in K 29.672 * [backup-simplify]: Simplify 1/2 into 1/2 29.672 * [taylor]: Taking taylor expansion of K in K 29.672 * [backup-simplify]: Simplify 0 into 0 29.672 * [backup-simplify]: Simplify 1 into 1 29.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.672 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.673 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.673 * [backup-simplify]: Simplify (* 1 1) into 1 29.673 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.673 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.674 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 29.674 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 29.675 * [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)) 29.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.676 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.676 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.677 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.678 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.678 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 29.679 * [backup-simplify]: Simplify (+ 0 0) into 0 29.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 29.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.679 * [taylor]: Taking taylor expansion of 1/2 in K 29.679 * [backup-simplify]: Simplify 1/2 into 1/2 29.679 * [taylor]: Taking taylor expansion of K in K 29.679 * [backup-simplify]: Simplify 0 into 0 29.679 * [backup-simplify]: Simplify 1 into 1 29.680 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.680 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.680 * [taylor]: Taking taylor expansion of J in K 29.680 * [backup-simplify]: Simplify J into J 29.681 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 29.681 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 29.682 * [backup-simplify]: Simplify (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) into (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 29.682 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) 29.683 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (pow (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 1/3) 29.683 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in J 29.683 * [taylor]: Taking taylor expansion of (cbrt -2) in J 29.683 * [taylor]: Taking taylor expansion of -2 in J 29.683 * [backup-simplify]: Simplify -2 into -2 29.683 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.684 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.684 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in J 29.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in J 29.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in J 29.684 * [taylor]: Taking taylor expansion of 1/3 in J 29.684 * [backup-simplify]: Simplify 1/3 into 1/3 29.684 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 29.684 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 29.684 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 29.684 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.685 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 29.685 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.685 * [taylor]: Taking taylor expansion of 1 in J 29.685 * [backup-simplify]: Simplify 1 into 1 29.685 * [taylor]: Taking taylor expansion of 1 in J 29.685 * [backup-simplify]: Simplify 1 into 1 29.685 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.685 * [taylor]: Taking taylor expansion of 1/2 in J 29.685 * [backup-simplify]: Simplify 1/2 into 1/2 29.685 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.685 * [taylor]: Taking taylor expansion of J in J 29.685 * [backup-simplify]: Simplify 0 into 0 29.685 * [backup-simplify]: Simplify 1 into 1 29.685 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.685 * [taylor]: Taking taylor expansion of U in J 29.685 * [backup-simplify]: Simplify U into U 29.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.685 * [taylor]: Taking taylor expansion of 1/2 in J 29.685 * [backup-simplify]: Simplify 1/2 into 1/2 29.685 * [taylor]: Taking taylor expansion of K in J 29.685 * [backup-simplify]: Simplify K into K 29.685 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.685 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.685 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.686 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.686 * [backup-simplify]: Simplify (- 0) into 0 29.686 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.686 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.686 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.686 * [taylor]: Taking taylor expansion of 1/2 in J 29.686 * [backup-simplify]: Simplify 1/2 into 1/2 29.686 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.686 * [taylor]: Taking taylor expansion of J in J 29.686 * [backup-simplify]: Simplify 0 into 0 29.686 * [backup-simplify]: Simplify 1 into 1 29.686 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.687 * [taylor]: Taking taylor expansion of U in J 29.687 * [backup-simplify]: Simplify U into U 29.687 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.687 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.687 * [taylor]: Taking taylor expansion of 1/2 in J 29.687 * [backup-simplify]: Simplify 1/2 into 1/2 29.687 * [taylor]: Taking taylor expansion of K in J 29.687 * [backup-simplify]: Simplify K into K 29.687 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.687 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.687 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.687 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.687 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.687 * [backup-simplify]: Simplify (- 0) into 0 29.688 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.688 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.688 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.688 * [backup-simplify]: Simplify (* 1 1) into 1 29.689 * [backup-simplify]: Simplify (+ 1 0) into 1 29.689 * [backup-simplify]: Simplify (sqrt 1) into 1 29.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.690 * [backup-simplify]: Simplify (+ 0 0) into 0 29.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.691 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.691 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.691 * [taylor]: Taking taylor expansion of 1/2 in J 29.691 * [backup-simplify]: Simplify 1/2 into 1/2 29.691 * [taylor]: Taking taylor expansion of K in J 29.691 * [backup-simplify]: Simplify K into K 29.691 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.691 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.691 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.691 * [taylor]: Taking taylor expansion of J in J 29.691 * [backup-simplify]: Simplify 0 into 0 29.691 * [backup-simplify]: Simplify 1 into 1 29.691 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.692 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.692 * [backup-simplify]: Simplify (- 0) into 0 29.692 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.692 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 29.692 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.692 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 29.693 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 29.693 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 29.693 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 29.693 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in U 29.693 * [taylor]: Taking taylor expansion of (cbrt -2) in U 29.693 * [taylor]: Taking taylor expansion of -2 in U 29.693 * [backup-simplify]: Simplify -2 into -2 29.694 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.694 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.695 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in U 29.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in U 29.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in U 29.695 * [taylor]: Taking taylor expansion of 1/3 in U 29.695 * [backup-simplify]: Simplify 1/3 into 1/3 29.695 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 29.695 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 29.695 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 29.695 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.695 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.695 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 29.695 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.695 * [taylor]: Taking taylor expansion of 1 in U 29.695 * [backup-simplify]: Simplify 1 into 1 29.695 * [taylor]: Taking taylor expansion of 1 in U 29.695 * [backup-simplify]: Simplify 1 into 1 29.695 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.695 * [taylor]: Taking taylor expansion of 1/2 in U 29.695 * [backup-simplify]: Simplify 1/2 into 1/2 29.695 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.695 * [taylor]: Taking taylor expansion of J in U 29.695 * [backup-simplify]: Simplify J into J 29.695 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.695 * [taylor]: Taking taylor expansion of U in U 29.695 * [backup-simplify]: Simplify 0 into 0 29.695 * [backup-simplify]: Simplify 1 into 1 29.695 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.695 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.695 * [taylor]: Taking taylor expansion of 1/2 in U 29.695 * [backup-simplify]: Simplify 1/2 into 1/2 29.696 * [taylor]: Taking taylor expansion of K in U 29.696 * [backup-simplify]: Simplify K into K 29.696 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.696 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.696 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.696 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.696 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.696 * [backup-simplify]: Simplify (- 0) into 0 29.696 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.697 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.697 * [backup-simplify]: Simplify (+ 0) into 0 29.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.699 * [backup-simplify]: Simplify (- 0) into 0 29.700 * [backup-simplify]: Simplify (+ 0 0) into 0 29.700 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.700 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.700 * [taylor]: Taking taylor expansion of 1/2 in U 29.701 * [backup-simplify]: Simplify 1/2 into 1/2 29.701 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.701 * [taylor]: Taking taylor expansion of J in U 29.701 * [backup-simplify]: Simplify J into J 29.701 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.701 * [taylor]: Taking taylor expansion of U in U 29.701 * [backup-simplify]: Simplify 0 into 0 29.701 * [backup-simplify]: Simplify 1 into 1 29.701 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.701 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.701 * [taylor]: Taking taylor expansion of 1/2 in U 29.701 * [backup-simplify]: Simplify 1/2 into 1/2 29.701 * [taylor]: Taking taylor expansion of K in U 29.701 * [backup-simplify]: Simplify K into K 29.701 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.701 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.701 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.701 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.701 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.702 * [backup-simplify]: Simplify (- 0) into 0 29.702 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.702 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.702 * [backup-simplify]: Simplify (+ 0) into 0 29.703 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.703 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.705 * [backup-simplify]: Simplify (- 0) into 0 29.705 * [backup-simplify]: Simplify (+ 0 0) into 0 29.705 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.705 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.706 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.706 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.706 * [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))) 29.706 * [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))) 29.706 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.710 * [backup-simplify]: Simplify (- 0) into 0 29.711 * [backup-simplify]: Simplify (+ 0 0) into 0 29.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.712 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.717 * [backup-simplify]: Simplify (- 0) into 0 29.717 * [backup-simplify]: Simplify (+ 0 0) into 0 29.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.718 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.718 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.718 * [backup-simplify]: Simplify (+ 0 0) into 0 29.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.719 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.719 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.719 * [taylor]: Taking taylor expansion of 1/2 in U 29.719 * [backup-simplify]: Simplify 1/2 into 1/2 29.719 * [taylor]: Taking taylor expansion of K in U 29.719 * [backup-simplify]: Simplify K into K 29.719 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.719 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.719 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.719 * [taylor]: Taking taylor expansion of J in U 29.719 * [backup-simplify]: Simplify J into J 29.719 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.719 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.719 * [backup-simplify]: Simplify (- 0) into 0 29.719 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.719 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 29.719 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.720 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.720 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.720 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.721 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.721 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in U 29.721 * [taylor]: Taking taylor expansion of (cbrt -2) in U 29.721 * [taylor]: Taking taylor expansion of -2 in U 29.721 * [backup-simplify]: Simplify -2 into -2 29.721 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.722 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.722 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in U 29.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in U 29.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in U 29.722 * [taylor]: Taking taylor expansion of 1/3 in U 29.722 * [backup-simplify]: Simplify 1/3 into 1/3 29.722 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 29.722 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 29.722 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 29.722 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.722 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.722 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 29.722 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.722 * [taylor]: Taking taylor expansion of 1 in U 29.722 * [backup-simplify]: Simplify 1 into 1 29.722 * [taylor]: Taking taylor expansion of 1 in U 29.722 * [backup-simplify]: Simplify 1 into 1 29.722 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.722 * [taylor]: Taking taylor expansion of 1/2 in U 29.722 * [backup-simplify]: Simplify 1/2 into 1/2 29.722 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.722 * [taylor]: Taking taylor expansion of J in U 29.722 * [backup-simplify]: Simplify J into J 29.722 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.722 * [taylor]: Taking taylor expansion of U in U 29.722 * [backup-simplify]: Simplify 0 into 0 29.722 * [backup-simplify]: Simplify 1 into 1 29.722 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.722 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.722 * [taylor]: Taking taylor expansion of 1/2 in U 29.722 * [backup-simplify]: Simplify 1/2 into 1/2 29.722 * [taylor]: Taking taylor expansion of K in U 29.722 * [backup-simplify]: Simplify K into K 29.722 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.722 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.722 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.722 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.722 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.723 * [backup-simplify]: Simplify (- 0) into 0 29.723 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.723 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.723 * [backup-simplify]: Simplify (+ 0) into 0 29.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.724 * [backup-simplify]: Simplify (- 0) into 0 29.725 * [backup-simplify]: Simplify (+ 0 0) into 0 29.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.725 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.725 * [taylor]: Taking taylor expansion of 1/2 in U 29.725 * [backup-simplify]: Simplify 1/2 into 1/2 29.725 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.725 * [taylor]: Taking taylor expansion of J in U 29.725 * [backup-simplify]: Simplify J into J 29.725 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.725 * [taylor]: Taking taylor expansion of U in U 29.725 * [backup-simplify]: Simplify 0 into 0 29.725 * [backup-simplify]: Simplify 1 into 1 29.725 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.725 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.725 * [taylor]: Taking taylor expansion of 1/2 in U 29.725 * [backup-simplify]: Simplify 1/2 into 1/2 29.725 * [taylor]: Taking taylor expansion of K in U 29.725 * [backup-simplify]: Simplify K into K 29.725 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.725 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.725 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.725 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.725 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.726 * [backup-simplify]: Simplify (- 0) into 0 29.726 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.726 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.726 * [backup-simplify]: Simplify (+ 0) into 0 29.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.727 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.728 * [backup-simplify]: Simplify (- 0) into 0 29.728 * [backup-simplify]: Simplify (+ 0 0) into 0 29.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.729 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.729 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.729 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.729 * [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))) 29.729 * [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))) 29.729 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.732 * [backup-simplify]: Simplify (- 0) into 0 29.732 * [backup-simplify]: Simplify (+ 0 0) into 0 29.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.732 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.734 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.735 * [backup-simplify]: Simplify (- 0) into 0 29.735 * [backup-simplify]: Simplify (+ 0 0) into 0 29.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.736 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.736 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.736 * [backup-simplify]: Simplify (+ 0 0) into 0 29.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.736 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.737 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.737 * [taylor]: Taking taylor expansion of 1/2 in U 29.737 * [backup-simplify]: Simplify 1/2 into 1/2 29.737 * [taylor]: Taking taylor expansion of K in U 29.737 * [backup-simplify]: Simplify K into K 29.737 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.737 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.737 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.737 * [taylor]: Taking taylor expansion of J in U 29.737 * [backup-simplify]: Simplify J into J 29.737 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.737 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.737 * [backup-simplify]: Simplify (- 0) into 0 29.737 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.737 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 29.737 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.738 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.738 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.738 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.739 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.739 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 29.739 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) in J 29.739 * [taylor]: Taking taylor expansion of (cbrt -2) in J 29.739 * [taylor]: Taking taylor expansion of -2 in J 29.739 * [backup-simplify]: Simplify -2 into -2 29.739 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.740 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 29.740 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 29.740 * [taylor]: Taking taylor expansion of 1/3 in J 29.740 * [backup-simplify]: Simplify 1/3 into 1/3 29.740 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 29.740 * [taylor]: Taking taylor expansion of (log 1/2) in J 29.740 * [taylor]: Taking taylor expansion of 1/2 in J 29.740 * [backup-simplify]: Simplify 1/2 into 1/2 29.740 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.740 * [taylor]: Taking taylor expansion of (log U) in J 29.740 * [taylor]: Taking taylor expansion of U in J 29.740 * [backup-simplify]: Simplify U into U 29.740 * [backup-simplify]: Simplify (log U) into (log U) 29.740 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 29.741 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 29.741 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.741 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.742 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 29.742 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) in K 29.742 * [taylor]: Taking taylor expansion of (cbrt -2) in K 29.742 * [taylor]: Taking taylor expansion of -2 in K 29.742 * [backup-simplify]: Simplify -2 into -2 29.742 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.743 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in K 29.743 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in K 29.743 * [taylor]: Taking taylor expansion of 1/3 in K 29.743 * [backup-simplify]: Simplify 1/3 into 1/3 29.743 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in K 29.743 * [taylor]: Taking taylor expansion of (log 1/2) in K 29.743 * [taylor]: Taking taylor expansion of 1/2 in K 29.743 * [backup-simplify]: Simplify 1/2 into 1/2 29.743 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.743 * [taylor]: Taking taylor expansion of (log U) in K 29.743 * [taylor]: Taking taylor expansion of U in K 29.743 * [backup-simplify]: Simplify U into U 29.743 * [backup-simplify]: Simplify (log U) into (log U) 29.743 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 29.743 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 29.744 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.744 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.744 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 29.745 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 29.745 * [backup-simplify]: Simplify (+ 0) into 0 29.746 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.746 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.747 * [backup-simplify]: Simplify (- 0) into 0 29.747 * [backup-simplify]: Simplify (+ 0 0) into 0 29.747 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.747 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.748 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.750 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.751 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U)))))) into 0 29.751 * [taylor]: Taking taylor expansion of 0 in J 29.751 * [backup-simplify]: Simplify 0 into 0 29.751 * [taylor]: Taking taylor expansion of 0 in K 29.751 * [backup-simplify]: Simplify 0 into 0 29.751 * [backup-simplify]: Simplify 0 into 0 29.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 29.754 * [backup-simplify]: Simplify (- 0) into 0 29.754 * [backup-simplify]: Simplify (+ 0 0) into 0 29.755 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.756 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.757 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U)))))) into 0 29.757 * [taylor]: Taking taylor expansion of 0 in K 29.757 * [backup-simplify]: Simplify 0 into 0 29.757 * [backup-simplify]: Simplify 0 into 0 29.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 29.760 * [backup-simplify]: Simplify (- 0) into 0 29.760 * [backup-simplify]: Simplify (+ 0 0) into 0 29.761 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.762 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.763 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U)))))) into 0 29.763 * [backup-simplify]: Simplify 0 into 0 29.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.766 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.767 * [backup-simplify]: Simplify (- 0) into 0 29.767 * [backup-simplify]: Simplify (+ 0 0) into 0 29.768 * [backup-simplify]: Simplify (* 1 1) into 1 29.768 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.772 * [backup-simplify]: Simplify (- 0) into 0 29.773 * [backup-simplify]: Simplify (+ 0 0) into 0 29.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.775 * [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 29.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.776 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.779 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.780 * [backup-simplify]: Simplify (- 0) into 0 29.780 * [backup-simplify]: Simplify (+ 0 0) into 0 29.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.782 * [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 29.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.783 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 29.784 * [backup-simplify]: Simplify (+ 1 0) into 1 29.785 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 29.785 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 29.786 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 29.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1)) (pow 1/2 1)))) 2) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 29.788 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.796 * [backup-simplify]: Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 29.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 29.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 29.802 * [backup-simplify]: Simplify (+ (* (cbrt -2) (* 2/3 (/ (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)))) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U))))))) into (* 2/3 (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (pow J 2))) 29.803 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (pow J 2))) in J 29.803 * [taylor]: Taking taylor expansion of 2/3 in J 29.803 * [backup-simplify]: Simplify 2/3 into 2/3 29.803 * [taylor]: Taking taylor expansion of (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (pow J 2)) in J 29.803 * [taylor]: Taking taylor expansion of (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) in J 29.803 * [taylor]: Taking taylor expansion of (cbrt -2) in J 29.803 * [taylor]: Taking taylor expansion of -2 in J 29.803 * [backup-simplify]: Simplify -2 into -2 29.803 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 29.804 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 29.804 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) in J 29.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 29.804 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 29.804 * [taylor]: Taking taylor expansion of 1/3 in J 29.804 * [backup-simplify]: Simplify 1/3 into 1/3 29.804 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 29.804 * [taylor]: Taking taylor expansion of (log 1/2) in J 29.804 * [taylor]: Taking taylor expansion of 1/2 in J 29.804 * [backup-simplify]: Simplify 1/2 into 1/2 29.805 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.805 * [taylor]: Taking taylor expansion of (log U) in J 29.805 * [taylor]: Taking taylor expansion of U in J 29.805 * [backup-simplify]: Simplify U into U 29.805 * [backup-simplify]: Simplify (log U) into (log U) 29.805 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 29.805 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 29.806 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.806 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.806 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 29.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.806 * [taylor]: Taking taylor expansion of 1/2 in J 29.806 * [backup-simplify]: Simplify 1/2 into 1/2 29.806 * [taylor]: Taking taylor expansion of K in J 29.806 * [backup-simplify]: Simplify K into K 29.807 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.807 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.807 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.807 * [backup-simplify]: Simplify (- 0) into 0 29.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.807 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.808 * [taylor]: Taking taylor expansion of J in J 29.808 * [backup-simplify]: Simplify 0 into 0 29.808 * [backup-simplify]: Simplify 1 into 1 29.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 29.808 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) 29.809 * [backup-simplify]: Simplify (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) into (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) 29.810 * [backup-simplify]: Simplify (* 1 1) into 1 29.811 * [backup-simplify]: Simplify (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) 1) into (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) 29.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.813 * [backup-simplify]: Simplify (+ 0) into 0 29.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.815 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.816 * [backup-simplify]: Simplify (- 0) into 0 29.817 * [backup-simplify]: Simplify (+ 0 0) into 0 29.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.818 * [backup-simplify]: Simplify (- 0) into 0 29.818 * [backup-simplify]: Simplify (+ 0 0) into 0 29.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 29.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 29.822 * [backup-simplify]: Simplify (- 0) into 0 29.822 * [backup-simplify]: Simplify (+ 0 0) into 0 29.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 29.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 29.829 * [backup-simplify]: Simplify (- 0) into 0 29.830 * [backup-simplify]: Simplify (+ 0 0) into 0 29.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 29.833 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.834 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 29.835 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 29.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 29.838 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))))) into 0 29.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.840 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)))) into 0 29.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (/ 0 1)))) into 0 29.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.847 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.847 * [taylor]: Taking taylor expansion of 0 in K 29.847 * [backup-simplify]: Simplify 0 into 0 29.847 * [backup-simplify]: Simplify 0 into 0 29.847 * [taylor]: Taking taylor expansion of 0 in K 29.847 * [backup-simplify]: Simplify 0 into 0 29.847 * [backup-simplify]: Simplify 0 into 0 29.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 29.852 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 29.853 * [backup-simplify]: Simplify (- 0) into 0 29.853 * [backup-simplify]: Simplify (+ 0 0) into 0 29.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 29.856 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 29.859 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U))))))) into 0 29.859 * [taylor]: Taking taylor expansion of 0 in K 29.859 * [backup-simplify]: Simplify 0 into 0 29.859 * [backup-simplify]: Simplify 0 into 0 29.860 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log (/ 1 U)))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log (/ 1 U)))))) 29.860 * [backup-simplify]: Simplify (cbrt (* (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J))))) into (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) 29.860 * [approximate]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in (U J K) around 0 29.861 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in K 29.861 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in K 29.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in K 29.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in K 29.861 * [taylor]: Taking taylor expansion of 1/3 in K 29.861 * [backup-simplify]: Simplify 1/3 into 1/3 29.861 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 29.861 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 29.861 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.861 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.861 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.861 * [taylor]: Taking taylor expansion of -1/2 in K 29.861 * [backup-simplify]: Simplify -1/2 into -1/2 29.861 * [taylor]: Taking taylor expansion of K in K 29.861 * [backup-simplify]: Simplify 0 into 0 29.861 * [backup-simplify]: Simplify 1 into 1 29.861 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.862 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.862 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.862 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.862 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.862 * [taylor]: Taking taylor expansion of 1 in K 29.862 * [backup-simplify]: Simplify 1 into 1 29.862 * [taylor]: Taking taylor expansion of 1 in K 29.862 * [backup-simplify]: Simplify 1 into 1 29.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.862 * [taylor]: Taking taylor expansion of 1/2 in K 29.862 * [backup-simplify]: Simplify 1/2 into 1/2 29.862 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.862 * [taylor]: Taking taylor expansion of J in K 29.862 * [backup-simplify]: Simplify J into J 29.862 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.862 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.862 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.862 * [taylor]: Taking taylor expansion of -1/2 in K 29.862 * [backup-simplify]: Simplify -1/2 into -1/2 29.862 * [taylor]: Taking taylor expansion of K in K 29.862 * [backup-simplify]: Simplify 0 into 0 29.862 * [backup-simplify]: Simplify 1 into 1 29.863 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.863 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.863 * [taylor]: Taking taylor expansion of U in K 29.863 * [backup-simplify]: Simplify U into U 29.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.863 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.863 * [taylor]: Taking taylor expansion of 1/2 in K 29.863 * [backup-simplify]: Simplify 1/2 into 1/2 29.863 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.863 * [taylor]: Taking taylor expansion of J in K 29.863 * [backup-simplify]: Simplify J into J 29.863 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.863 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.863 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.863 * [taylor]: Taking taylor expansion of -1/2 in K 29.863 * [backup-simplify]: Simplify -1/2 into -1/2 29.863 * [taylor]: Taking taylor expansion of K in K 29.863 * [backup-simplify]: Simplify 0 into 0 29.863 * [backup-simplify]: Simplify 1 into 1 29.864 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.864 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.864 * [taylor]: Taking taylor expansion of U in K 29.864 * [backup-simplify]: Simplify U into U 29.864 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.864 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.864 * [backup-simplify]: Simplify (* 1 1) into 1 29.865 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.865 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.865 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 29.865 * [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))))) 29.865 * [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)))))) 29.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.866 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.867 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 29.867 * [backup-simplify]: Simplify (+ 0 0) into 0 29.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 29.868 * [taylor]: Taking taylor expansion of J in K 29.868 * [backup-simplify]: Simplify J into J 29.868 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 29.868 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 29.869 * [backup-simplify]: Simplify (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 29.869 * [backup-simplify]: Simplify (* 1/3 (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into (* 1/3 (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) 29.869 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))) into (pow (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1/3) 29.869 * [taylor]: Taking taylor expansion of (cbrt 2) in K 29.869 * [taylor]: Taking taylor expansion of 2 in K 29.869 * [backup-simplify]: Simplify 2 into 2 29.870 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.870 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.870 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in J 29.870 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in J 29.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in J 29.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in J 29.870 * [taylor]: Taking taylor expansion of 1/3 in J 29.870 * [backup-simplify]: Simplify 1/3 into 1/3 29.870 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 29.870 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 29.870 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.870 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.870 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.870 * [taylor]: Taking taylor expansion of -1/2 in J 29.870 * [backup-simplify]: Simplify -1/2 into -1/2 29.870 * [taylor]: Taking taylor expansion of K in J 29.870 * [backup-simplify]: Simplify K into K 29.870 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.870 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.870 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.870 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.870 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.870 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.871 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.871 * [taylor]: Taking taylor expansion of 1 in J 29.871 * [backup-simplify]: Simplify 1 into 1 29.871 * [taylor]: Taking taylor expansion of 1 in J 29.871 * [backup-simplify]: Simplify 1 into 1 29.871 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.871 * [taylor]: Taking taylor expansion of 1/2 in J 29.871 * [backup-simplify]: Simplify 1/2 into 1/2 29.871 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.871 * [taylor]: Taking taylor expansion of J in J 29.871 * [backup-simplify]: Simplify 0 into 0 29.871 * [backup-simplify]: Simplify 1 into 1 29.871 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.871 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.871 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.871 * [taylor]: Taking taylor expansion of -1/2 in J 29.871 * [backup-simplify]: Simplify -1/2 into -1/2 29.871 * [taylor]: Taking taylor expansion of K in J 29.871 * [backup-simplify]: Simplify K into K 29.871 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.871 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.871 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.871 * [taylor]: Taking taylor expansion of U in J 29.871 * [backup-simplify]: Simplify U into U 29.871 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.871 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.871 * [backup-simplify]: Simplify (- 0) into 0 29.872 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.872 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.872 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.872 * [taylor]: Taking taylor expansion of 1/2 in J 29.872 * [backup-simplify]: Simplify 1/2 into 1/2 29.872 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.872 * [taylor]: Taking taylor expansion of J in J 29.872 * [backup-simplify]: Simplify 0 into 0 29.872 * [backup-simplify]: Simplify 1 into 1 29.872 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.872 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.872 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.872 * [taylor]: Taking taylor expansion of -1/2 in J 29.872 * [backup-simplify]: Simplify -1/2 into -1/2 29.872 * [taylor]: Taking taylor expansion of K in J 29.872 * [backup-simplify]: Simplify K into K 29.872 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.872 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.872 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.872 * [taylor]: Taking taylor expansion of U in J 29.872 * [backup-simplify]: Simplify U into U 29.872 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.872 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.872 * [backup-simplify]: Simplify (- 0) into 0 29.872 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.872 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.873 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.873 * [backup-simplify]: Simplify (* 1 1) into 1 29.873 * [backup-simplify]: Simplify (+ 1 0) into 1 29.873 * [backup-simplify]: Simplify (sqrt 1) into 1 29.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.874 * [backup-simplify]: Simplify (+ 0 0) into 0 29.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.874 * [taylor]: Taking taylor expansion of J in J 29.874 * [backup-simplify]: Simplify 0 into 0 29.874 * [backup-simplify]: Simplify 1 into 1 29.874 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.875 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.875 * [backup-simplify]: Simplify (- 0) into 0 29.875 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.875 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.875 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 29.875 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 29.875 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 29.875 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 29.875 * [taylor]: Taking taylor expansion of (cbrt 2) in J 29.875 * [taylor]: Taking taylor expansion of 2 in J 29.875 * [backup-simplify]: Simplify 2 into 2 29.876 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.876 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.876 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in U 29.876 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in U 29.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in U 29.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in U 29.876 * [taylor]: Taking taylor expansion of 1/3 in U 29.876 * [backup-simplify]: Simplify 1/3 into 1/3 29.876 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.876 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.876 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.876 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.876 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.876 * [taylor]: Taking taylor expansion of -1/2 in U 29.876 * [backup-simplify]: Simplify -1/2 into -1/2 29.876 * [taylor]: Taking taylor expansion of K in U 29.876 * [backup-simplify]: Simplify K into K 29.877 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.877 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.877 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.877 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.877 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.877 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.877 * [taylor]: Taking taylor expansion of 1 in U 29.877 * [backup-simplify]: Simplify 1 into 1 29.877 * [taylor]: Taking taylor expansion of 1 in U 29.877 * [backup-simplify]: Simplify 1 into 1 29.877 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.877 * [taylor]: Taking taylor expansion of 1/2 in U 29.877 * [backup-simplify]: Simplify 1/2 into 1/2 29.877 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.877 * [taylor]: Taking taylor expansion of J in U 29.877 * [backup-simplify]: Simplify J into J 29.877 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.877 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.877 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.877 * [taylor]: Taking taylor expansion of -1/2 in U 29.877 * [backup-simplify]: Simplify -1/2 into -1/2 29.877 * [taylor]: Taking taylor expansion of K in U 29.877 * [backup-simplify]: Simplify K into K 29.877 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.877 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.877 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.877 * [taylor]: Taking taylor expansion of U in U 29.877 * [backup-simplify]: Simplify 0 into 0 29.877 * [backup-simplify]: Simplify 1 into 1 29.877 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.877 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.877 * [backup-simplify]: Simplify (- 0) into 0 29.878 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.878 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.878 * [backup-simplify]: Simplify (+ 0) into 0 29.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.879 * [backup-simplify]: Simplify (- 0) into 0 29.879 * [backup-simplify]: Simplify (+ 0 0) into 0 29.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.880 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.880 * [taylor]: Taking taylor expansion of 1/2 in U 29.880 * [backup-simplify]: Simplify 1/2 into 1/2 29.880 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.880 * [taylor]: Taking taylor expansion of J in U 29.880 * [backup-simplify]: Simplify J into J 29.880 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.880 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.880 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.880 * [taylor]: Taking taylor expansion of -1/2 in U 29.880 * [backup-simplify]: Simplify -1/2 into -1/2 29.880 * [taylor]: Taking taylor expansion of K in U 29.880 * [backup-simplify]: Simplify K into K 29.880 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.880 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.880 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.880 * [taylor]: Taking taylor expansion of U in U 29.880 * [backup-simplify]: Simplify 0 into 0 29.880 * [backup-simplify]: Simplify 1 into 1 29.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.880 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.880 * [backup-simplify]: Simplify (- 0) into 0 29.881 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.881 * [backup-simplify]: Simplify (+ 0) into 0 29.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.881 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.882 * [backup-simplify]: Simplify (- 0) into 0 29.882 * [backup-simplify]: Simplify (+ 0 0) into 0 29.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.883 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.883 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.883 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.883 * [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))) 29.883 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 29.883 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.885 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.885 * [backup-simplify]: Simplify (- 0) into 0 29.886 * [backup-simplify]: Simplify (+ 0 0) into 0 29.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.886 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.887 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.888 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.889 * [backup-simplify]: Simplify (- 0) into 0 29.889 * [backup-simplify]: Simplify (+ 0 0) into 0 29.889 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.889 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.890 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.890 * [backup-simplify]: Simplify (+ 0 0) into 0 29.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.890 * [taylor]: Taking taylor expansion of J in U 29.890 * [backup-simplify]: Simplify J into J 29.890 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.890 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.891 * [backup-simplify]: Simplify (- 0) into 0 29.891 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.891 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.891 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.891 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.892 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.892 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.892 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.892 * [taylor]: Taking taylor expansion of (cbrt 2) in U 29.892 * [taylor]: Taking taylor expansion of 2 in U 29.892 * [backup-simplify]: Simplify 2 into 2 29.893 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.893 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.893 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in U 29.893 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in U 29.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in U 29.893 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in U 29.893 * [taylor]: Taking taylor expansion of 1/3 in U 29.893 * [backup-simplify]: Simplify 1/3 into 1/3 29.893 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.893 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.893 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.893 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.893 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.893 * [taylor]: Taking taylor expansion of -1/2 in U 29.893 * [backup-simplify]: Simplify -1/2 into -1/2 29.893 * [taylor]: Taking taylor expansion of K in U 29.893 * [backup-simplify]: Simplify K into K 29.893 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.893 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.894 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.894 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.894 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.894 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.894 * [taylor]: Taking taylor expansion of 1 in U 29.894 * [backup-simplify]: Simplify 1 into 1 29.894 * [taylor]: Taking taylor expansion of 1 in U 29.894 * [backup-simplify]: Simplify 1 into 1 29.894 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.894 * [taylor]: Taking taylor expansion of 1/2 in U 29.894 * [backup-simplify]: Simplify 1/2 into 1/2 29.894 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.894 * [taylor]: Taking taylor expansion of J in U 29.894 * [backup-simplify]: Simplify J into J 29.894 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.894 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.894 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.894 * [taylor]: Taking taylor expansion of -1/2 in U 29.894 * [backup-simplify]: Simplify -1/2 into -1/2 29.894 * [taylor]: Taking taylor expansion of K in U 29.894 * [backup-simplify]: Simplify K into K 29.894 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.894 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.894 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.894 * [taylor]: Taking taylor expansion of U in U 29.894 * [backup-simplify]: Simplify 0 into 0 29.894 * [backup-simplify]: Simplify 1 into 1 29.894 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.894 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.894 * [backup-simplify]: Simplify (- 0) into 0 29.895 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.895 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.895 * [backup-simplify]: Simplify (+ 0) into 0 29.895 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.896 * [backup-simplify]: Simplify (- 0) into 0 29.896 * [backup-simplify]: Simplify (+ 0 0) into 0 29.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.897 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.897 * [taylor]: Taking taylor expansion of 1/2 in U 29.897 * [backup-simplify]: Simplify 1/2 into 1/2 29.897 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.897 * [taylor]: Taking taylor expansion of J in U 29.897 * [backup-simplify]: Simplify J into J 29.897 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.897 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.897 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.897 * [taylor]: Taking taylor expansion of -1/2 in U 29.897 * [backup-simplify]: Simplify -1/2 into -1/2 29.897 * [taylor]: Taking taylor expansion of K in U 29.897 * [backup-simplify]: Simplify K into K 29.897 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.897 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.897 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.897 * [taylor]: Taking taylor expansion of U in U 29.897 * [backup-simplify]: Simplify 0 into 0 29.897 * [backup-simplify]: Simplify 1 into 1 29.897 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.897 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.898 * [backup-simplify]: Simplify (- 0) into 0 29.898 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.898 * [backup-simplify]: Simplify (+ 0) into 0 29.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.900 * [backup-simplify]: Simplify (- 0) into 0 29.900 * [backup-simplify]: Simplify (+ 0 0) into 0 29.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.900 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.900 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.900 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.901 * [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))) 29.901 * [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))) 29.901 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.904 * [backup-simplify]: Simplify (- 0) into 0 29.905 * [backup-simplify]: Simplify (+ 0 0) into 0 29.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.906 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.908 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.910 * [backup-simplify]: Simplify (- 0) into 0 29.910 * [backup-simplify]: Simplify (+ 0 0) into 0 29.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.911 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.912 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.912 * [backup-simplify]: Simplify (+ 0 0) into 0 29.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.913 * [taylor]: Taking taylor expansion of J in U 29.913 * [backup-simplify]: Simplify J into J 29.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.913 * [backup-simplify]: Simplify (- 0) into 0 29.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.914 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.914 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.915 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.916 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.916 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.916 * [taylor]: Taking taylor expansion of (cbrt 2) in U 29.916 * [taylor]: Taking taylor expansion of 2 in U 29.916 * [backup-simplify]: Simplify 2 into 2 29.917 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.918 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.919 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 29.919 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) in J 29.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 29.919 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 29.919 * [taylor]: Taking taylor expansion of 1/3 in J 29.919 * [backup-simplify]: Simplify 1/3 into 1/3 29.919 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 29.919 * [taylor]: Taking taylor expansion of (log 1/2) in J 29.919 * [taylor]: Taking taylor expansion of 1/2 in J 29.919 * [backup-simplify]: Simplify 1/2 into 1/2 29.919 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.919 * [taylor]: Taking taylor expansion of (log U) in J 29.919 * [taylor]: Taking taylor expansion of U in J 29.919 * [backup-simplify]: Simplify U into U 29.919 * [backup-simplify]: Simplify (log U) into (log U) 29.919 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 29.920 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 29.920 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.921 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.921 * [taylor]: Taking taylor expansion of (cbrt 2) in J 29.921 * [taylor]: Taking taylor expansion of 2 in J 29.921 * [backup-simplify]: Simplify 2 into 2 29.921 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.928 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.929 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 29.929 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) in K 29.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in K 29.929 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in K 29.929 * [taylor]: Taking taylor expansion of 1/3 in K 29.929 * [backup-simplify]: Simplify 1/3 into 1/3 29.929 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in K 29.929 * [taylor]: Taking taylor expansion of (log 1/2) in K 29.929 * [taylor]: Taking taylor expansion of 1/2 in K 29.930 * [backup-simplify]: Simplify 1/2 into 1/2 29.930 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.930 * [taylor]: Taking taylor expansion of (log U) in K 29.930 * [taylor]: Taking taylor expansion of U in K 29.930 * [backup-simplify]: Simplify U into U 29.930 * [backup-simplify]: Simplify (log U) into (log U) 29.930 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 29.931 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 29.931 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.932 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.932 * [taylor]: Taking taylor expansion of (cbrt 2) in K 29.932 * [taylor]: Taking taylor expansion of 2 in K 29.932 * [backup-simplify]: Simplify 2 into 2 29.932 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.933 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 29.935 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 29.935 * [backup-simplify]: Simplify (+ 0) into 0 29.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.937 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.937 * [backup-simplify]: Simplify (- 0) into 0 29.938 * [backup-simplify]: Simplify (+ 0 0) into 0 29.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.938 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.940 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.941 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.942 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.943 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 29.943 * [taylor]: Taking taylor expansion of 0 in J 29.943 * [backup-simplify]: Simplify 0 into 0 29.943 * [taylor]: Taking taylor expansion of 0 in K 29.943 * [backup-simplify]: Simplify 0 into 0 29.943 * [backup-simplify]: Simplify 0 into 0 29.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 29.946 * [backup-simplify]: Simplify (- 0) into 0 29.946 * [backup-simplify]: Simplify (+ 0 0) into 0 29.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.950 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 29.950 * [taylor]: Taking taylor expansion of 0 in K 29.950 * [backup-simplify]: Simplify 0 into 0 29.950 * [backup-simplify]: Simplify 0 into 0 29.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 29.952 * [backup-simplify]: Simplify (- 0) into 0 29.953 * [backup-simplify]: Simplify (+ 0 0) into 0 29.953 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.954 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.955 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 29.956 * [backup-simplify]: Simplify 0 into 0 29.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0 29.957 * [backup-simplify]: Simplify (* 1 1) into 1 29.958 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.962 * [backup-simplify]: Simplify (- 0) into 0 29.962 * [backup-simplify]: Simplify (+ 0 0) into 0 29.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.963 * [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 29.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.966 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.969 * [backup-simplify]: Simplify (- 0) into 0 29.969 * [backup-simplify]: Simplify (+ 0 0) into 0 29.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.971 * [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 29.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.973 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 29.973 * [backup-simplify]: Simplify (+ 1 0) into 1 29.974 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 29.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.977 * [backup-simplify]: Simplify (- 0) into 0 29.978 * [backup-simplify]: Simplify (+ 0 0) into 0 29.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 29.978 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 29.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1)) (pow 1/2 1)))) 2) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 29.980 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 29.981 * [backup-simplify]: Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 29.981 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log 1/2) (log U))))) (pow J 2))) 29.983 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log 1/2) (log U))))) (pow J 2))) (cbrt 2)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (pow J 2))) 29.983 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (pow J 2))) in J 29.983 * [taylor]: Taking taylor expansion of 2/3 in J 29.983 * [backup-simplify]: Simplify 2/3 into 2/3 29.983 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (pow J 2)) in J 29.983 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) in J 29.983 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.983 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.983 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.983 * [taylor]: Taking taylor expansion of -1/2 in J 29.983 * [backup-simplify]: Simplify -1/2 into -1/2 29.983 * [taylor]: Taking taylor expansion of K in J 29.983 * [backup-simplify]: Simplify K into K 29.983 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.983 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.983 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.983 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.984 * [backup-simplify]: Simplify (- 0) into 0 29.984 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.984 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) in J 29.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 29.984 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 29.984 * [taylor]: Taking taylor expansion of 1/3 in J 29.984 * [backup-simplify]: Simplify 1/3 into 1/3 29.984 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 29.984 * [taylor]: Taking taylor expansion of (log 1/2) in J 29.984 * [taylor]: Taking taylor expansion of 1/2 in J 29.984 * [backup-simplify]: Simplify 1/2 into 1/2 29.984 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 29.984 * [taylor]: Taking taylor expansion of (log U) in J 29.984 * [taylor]: Taking taylor expansion of U in J 29.984 * [backup-simplify]: Simplify U into U 29.984 * [backup-simplify]: Simplify (log U) into (log U) 29.984 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 29.984 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 29.985 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 29.985 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 29.985 * [taylor]: Taking taylor expansion of (cbrt 2) in J 29.985 * [taylor]: Taking taylor expansion of 2 in J 29.985 * [backup-simplify]: Simplify 2 into 2 29.985 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 29.986 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 29.986 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.986 * [taylor]: Taking taylor expansion of J in J 29.986 * [backup-simplify]: Simplify 0 into 0 29.986 * [backup-simplify]: Simplify 1 into 1 29.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.986 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 29.987 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) into (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) 29.987 * [backup-simplify]: Simplify (* 1 1) into 1 29.988 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) 1) into (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) 29.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0 29.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 29.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 29.990 * [backup-simplify]: Simplify (- 0) into 0 29.990 * [backup-simplify]: Simplify (+ 0 0) into 0 29.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 29.993 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.995 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 29.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 29.996 * [backup-simplify]: Simplify (- 0) into 0 29.996 * [backup-simplify]: Simplify (+ 0 0) into 0 29.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 29.998 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.999 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0 29.999 * [backup-simplify]: Simplify (+ 0) into 0 29.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 30.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 30.000 * [backup-simplify]: Simplify (- 0) into 0 30.000 * [backup-simplify]: Simplify (+ 0 0) into 0 30.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 30.001 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 30.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 30.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 30.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 30.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 30.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 30.003 * [backup-simplify]: Simplify (- 0) into 0 30.003 * [backup-simplify]: Simplify (+ 0 0) into 0 30.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 30.004 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))))) into 0 30.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.006 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)))) into 0 30.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (/ 0 1)))) into 0 30.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.010 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)))))) into 0 30.010 * [taylor]: Taking taylor expansion of 0 in K 30.010 * [backup-simplify]: Simplify 0 into 0 30.010 * [backup-simplify]: Simplify 0 into 0 30.010 * [taylor]: Taking taylor expansion of 0 in K 30.010 * [backup-simplify]: Simplify 0 into 0 30.010 * [backup-simplify]: Simplify 0 into 0 30.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0 30.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 30.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 30.016 * [backup-simplify]: Simplify (- 0) into 0 30.017 * [backup-simplify]: Simplify (+ 0 0) into 0 30.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 30.019 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.020 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0 30.020 * [taylor]: Taking taylor expansion of 0 in K 30.020 * [backup-simplify]: Simplify 0 into 0 30.020 * [backup-simplify]: Simplify 0 into 0 30.021 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log (/ 1 (- U)))))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (- (log 1/2) (log (/ -1 U)))))) 30.021 * * * [progress]: simplifying candidates 30.021 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 30.021 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 30.021 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 30.022 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 30.022 * * [simplify]: iters left: 6 (15 enodes) 30.026 * * [simplify]: iters left: 5 (59 enodes) 30.041 * * [simplify]: iters left: 4 (97 enodes) 30.058 * * [simplify]: iters left: 3 (148 enodes) 30.097 * * [simplify]: iters left: 2 (169 enodes) 30.141 * * [simplify]: Extracting #0: cost 1 inf + 0 30.141 * * [simplify]: Extracting #1: cost 16 inf + 0 30.141 * * [simplify]: Extracting #2: cost 28 inf + 44 30.141 * * [simplify]: Extracting #3: cost 37 inf + 87 30.142 * * [simplify]: Extracting #4: cost 43 inf + 90 30.142 * * [simplify]: Extracting #5: cost 34 inf + 1179 30.146 * * [simplify]: Extracting #6: cost 5 inf + 7798 30.151 * * [simplify]: Extracting #7: cost 0 inf + 9302 30.155 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 30.155 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)))) 30.156 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 30.156 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 30.156 * * [simplify]: iters left: 6 (15 enodes) 30.165 * * [simplify]: iters left: 5 (59 enodes) 30.188 * * [simplify]: iters left: 4 (97 enodes) 30.211 * * [simplify]: iters left: 3 (148 enodes) 30.233 * * [simplify]: iters left: 2 (169 enodes) 30.277 * * [simplify]: Extracting #0: cost 1 inf + 0 30.277 * * [simplify]: Extracting #1: cost 16 inf + 0 30.277 * * [simplify]: Extracting #2: cost 28 inf + 44 30.277 * * [simplify]: Extracting #3: cost 37 inf + 87 30.277 * * [simplify]: Extracting #4: cost 43 inf + 90 30.278 * * [simplify]: Extracting #5: cost 34 inf + 1179 30.284 * * [simplify]: Extracting #6: cost 5 inf + 7798 30.289 * * [simplify]: Extracting #7: cost 0 inf + 9302 30.293 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 30.293 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)))) 30.294 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 30.294 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 30.294 * * [simplify]: iters left: 6 (15 enodes) 30.303 * * [simplify]: iters left: 5 (59 enodes) 30.324 * * [simplify]: iters left: 4 (97 enodes) 30.353 * * [simplify]: iters left: 3 (148 enodes) 30.391 * * [simplify]: iters left: 2 (169 enodes) 30.415 * * [simplify]: Extracting #0: cost 1 inf + 0 30.415 * * [simplify]: Extracting #1: cost 16 inf + 0 30.415 * * [simplify]: Extracting #2: cost 28 inf + 44 30.415 * * [simplify]: Extracting #3: cost 37 inf + 87 30.415 * * [simplify]: Extracting #4: cost 43 inf + 90 30.416 * * [simplify]: Extracting #5: cost 34 inf + 1179 30.418 * * [simplify]: Extracting #6: cost 5 inf + 7798 30.422 * * [simplify]: Extracting #7: cost 0 inf + 9302 30.427 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 30.427 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)))) 30.427 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 30.427 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 30.428 * * [simplify]: iters left: 6 (15 enodes) 30.435 * * [simplify]: iters left: 5 (59 enodes) 30.455 * * [simplify]: iters left: 4 (97 enodes) 30.486 * * [simplify]: iters left: 3 (148 enodes) 30.527 * * [simplify]: iters left: 2 (169 enodes) 30.573 * * [simplify]: Extracting #0: cost 1 inf + 0 30.573 * * [simplify]: Extracting #1: cost 16 inf + 0 30.574 * * [simplify]: Extracting #2: cost 28 inf + 44 30.574 * * [simplify]: Extracting #3: cost 37 inf + 87 30.574 * * [simplify]: Extracting #4: cost 43 inf + 90 30.575 * * [simplify]: Extracting #5: cost 34 inf + 1179 30.578 * * [simplify]: Extracting #6: cost 5 inf + 7798 30.583 * * [simplify]: Extracting #7: cost 0 inf + 9302 30.588 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 30.588 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)))) 30.589 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 30.589 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 30.589 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 30.589 * * [simplify]: iters left: 6 (19 enodes) 30.599 * * [simplify]: iters left: 5 (71 enodes) 30.622 * * [simplify]: iters left: 4 (110 enodes) 30.647 * * [simplify]: iters left: 3 (165 enodes) 30.677 * * [simplify]: iters left: 2 (194 enodes) 30.725 * * [simplify]: Extracting #0: cost 1 inf + 0 30.725 * * [simplify]: Extracting #1: cost 16 inf + 0 30.726 * * [simplify]: Extracting #2: cost 34 inf + 0 30.726 * * [simplify]: Extracting #3: cost 34 inf + 215 30.726 * * [simplify]: Extracting #4: cost 41 inf + 651 30.727 * * [simplify]: Extracting #5: cost 44 inf + 982 30.728 * * [simplify]: Extracting #6: cost 29 inf + 4046 30.731 * * [simplify]: Extracting #7: cost 6 inf + 11301 30.737 * * [simplify]: Extracting #8: cost 1 inf + 14155 30.742 * * [simplify]: Extracting #9: cost 0 inf + 14836 30.748 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)) 30.748 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)))))) 30.749 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 30.749 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (log (* -2 J))) 30.749 * * [simplify]: iters left: 6 (18 enodes) 30.759 * * [simplify]: iters left: 5 (69 enodes) 30.781 * * [simplify]: iters left: 4 (104 enodes) 30.819 * * [simplify]: iters left: 3 (156 enodes) 30.864 * * [simplify]: iters left: 2 (190 enodes) 30.886 * * [simplify]: Extracting #0: cost 1 inf + 0 30.886 * * [simplify]: Extracting #1: cost 16 inf + 0 30.886 * * [simplify]: Extracting #2: cost 35 inf + 0 30.886 * * [simplify]: Extracting #3: cost 32 inf + 552 30.887 * * [simplify]: Extracting #4: cost 41 inf + 595 30.887 * * [simplify]: Extracting #5: cost 44 inf + 926 30.888 * * [simplify]: Extracting #6: cost 30 inf + 3767 30.889 * * [simplify]: Extracting #7: cost 7 inf + 11016 30.892 * * [simplify]: Extracting #8: cost 1 inf + 13859 30.896 * * [simplify]: Extracting #9: cost 0 inf + 14360 30.902 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))) 30.902 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))))))) 30.902 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 30.903 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (+ (log -2) (log J))) 30.903 * * [simplify]: iters left: 6 (18 enodes) 30.912 * * [simplify]: iters left: 5 (69 enodes) 30.938 * * [simplify]: iters left: 4 (104 enodes) 30.962 * * [simplify]: iters left: 3 (156 enodes) 30.985 * * [simplify]: iters left: 2 (190 enodes) 31.007 * * [simplify]: Extracting #0: cost 1 inf + 0 31.007 * * [simplify]: Extracting #1: cost 16 inf + 0 31.008 * * [simplify]: Extracting #2: cost 35 inf + 0 31.008 * * [simplify]: Extracting #3: cost 38 inf + 73 31.008 * * [simplify]: Extracting #4: cost 43 inf + 651 31.008 * * [simplify]: Extracting #5: cost 46 inf + 982 31.009 * * [simplify]: Extracting #6: cost 29 inf + 4390 31.011 * * [simplify]: Extracting #7: cost 7 inf + 11744 31.018 * * [simplify]: Extracting #8: cost 0 inf + 14916 31.024 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 31.024 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))))) 31.024 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 31.024 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (log (* -2 J))) 31.025 * * [simplify]: iters left: 6 (17 enodes) 31.034 * * [simplify]: iters left: 5 (67 enodes) 31.053 * * [simplify]: iters left: 4 (101 enodes) 31.069 * * [simplify]: iters left: 3 (149 enodes) 31.097 * * [simplify]: iters left: 2 (184 enodes) 31.144 * * [simplify]: iters left: 1 (189 enodes) 31.168 * * [simplify]: Extracting #0: cost 1 inf + 0 31.168 * * [simplify]: Extracting #1: cost 16 inf + 0 31.168 * * [simplify]: Extracting #2: cost 36 inf + 0 31.168 * * [simplify]: Extracting #3: cost 36 inf + 369 31.168 * * [simplify]: Extracting #4: cost 43 inf + 595 31.169 * * [simplify]: Extracting #5: cost 47 inf + 844 31.169 * * [simplify]: Extracting #6: cost 29 inf + 4264 31.171 * * [simplify]: Extracting #7: cost 10 inf + 9815 31.174 * * [simplify]: Extracting #8: cost 0 inf + 14440 31.177 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 31.177 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (exp (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))))) 31.178 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 31.178 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 31.178 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 31.178 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 31.179 * * [simplify]: iters left: 6 (23 enodes) 31.191 * * [simplify]: iters left: 5 (96 enodes) 31.229 * * [simplify]: iters left: 4 (226 enodes) 31.304 * * [simplify]: Extracting #0: cost 1 inf + 0 31.304 * * [simplify]: Extracting #1: cost 59 inf + 0 31.305 * * [simplify]: Extracting #2: cost 264 inf + 452 31.306 * * [simplify]: Extracting #3: cost 261 inf + 2097 31.315 * * [simplify]: Extracting #4: cost 179 inf + 28052 31.340 * * [simplify]: Extracting #5: cost 16 inf + 92312 31.388 * * [simplify]: Extracting #6: cost 0 inf + 97231 31.434 * * [simplify]: Extracting #7: cost 0 inf + 96951 31.479 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 31.479 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))))) 31.479 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 31.479 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 31.479 * * [simplify]: iters left: 6 (21 enodes) 31.487 * * [simplify]: iters left: 5 (94 enodes) 31.510 * * [simplify]: iters left: 4 (226 enodes) 31.606 * * [simplify]: Extracting #0: cost 1 inf + 0 31.606 * * [simplify]: Extracting #1: cost 56 inf + 0 31.607 * * [simplify]: Extracting #2: cost 226 inf + 168 31.608 * * [simplify]: Extracting #3: cost 220 inf + 2184 31.609 * * [simplify]: Extracting #4: cost 220 inf + 2477 31.612 * * [simplify]: Extracting #5: cost 179 inf + 10402 31.620 * * [simplify]: Extracting #6: cost 96 inf + 40336 31.639 * * [simplify]: Extracting #7: cost 16 inf + 78408 31.666 * * [simplify]: Extracting #8: cost 0 inf + 86304 31.690 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)) 31.690 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)))))) 31.691 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 31.691 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 31.691 * * [simplify]: iters left: 6 (21 enodes) 31.698 * * [simplify]: iters left: 5 (95 enodes) 31.717 * * [simplify]: iters left: 4 (237 enodes) 31.789 * * [simplify]: Extracting #0: cost 1 inf + 0 31.789 * * [simplify]: Extracting #1: cost 52 inf + 0 31.790 * * [simplify]: Extracting #2: cost 228 inf + 87 31.791 * * [simplify]: Extracting #3: cost 240 inf + 788 31.795 * * [simplify]: Extracting #4: cost 181 inf + 20237 31.816 * * [simplify]: Extracting #5: cost 29 inf + 81640 31.839 * * [simplify]: Extracting #6: cost 0 inf + 94822 31.884 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 31.884 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))))) 31.885 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 31.885 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 31.885 * * [simplify]: iters left: 6 (19 enodes) 31.897 * * [simplify]: iters left: 5 (92 enodes) 31.932 * * [simplify]: iters left: 4 (233 enodes) 32.040 * * [simplify]: Extracting #0: cost 1 inf + 0 32.045 * * [simplify]: Extracting #1: cost 55 inf + 0 32.046 * * [simplify]: Extracting #2: cost 241 inf + 128 32.049 * * [simplify]: Extracting #3: cost 234 inf + 1974 32.057 * * [simplify]: Extracting #4: cost 180 inf + 20443 32.093 * * [simplify]: Extracting #5: cost 20 inf + 86900 32.117 * * [simplify]: Extracting #6: cost 0 inf + 95958 32.165 * * [simplify]: Extracting #7: cost 0 inf + 95918 32.198 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))) 32.199 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))))))) 32.199 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 32.199 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 32.199 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 32.199 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 32.199 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 32.199 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 32.199 * [simplify]: Simplifying (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 32.199 * * [simplify]: iters left: 6 (11 enodes) 32.202 * * [simplify]: iters left: 5 (40 enodes) 32.209 * * [simplify]: iters left: 4 (56 enodes) 32.224 * * [simplify]: iters left: 3 (74 enodes) 32.243 * * [simplify]: iters left: 2 (81 enodes) 32.254 * * [simplify]: Extracting #0: cost 1 inf + 0 32.254 * * [simplify]: Extracting #1: cost 4 inf + 0 32.254 * * [simplify]: Extracting #2: cost 14 inf + 1 32.254 * * [simplify]: Extracting #3: cost 22 inf + 46 32.254 * * [simplify]: Extracting #4: cost 24 inf + 255 32.254 * * [simplify]: Extracting #5: cost 20 inf + 423 32.255 * * [simplify]: Extracting #6: cost 8 inf + 2096 32.255 * * [simplify]: Extracting #7: cost 0 inf + 3675 32.256 * [simplify]: Simplified to (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 32.256 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))))) 32.256 * * * * [progress]: [ 24 / 99 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))))> 32.256 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 32.256 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 32.256 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 32.256 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 32.256 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 32.257 * * [simplify]: iters left: 6 (15 enodes) 32.261 * * [simplify]: iters left: 5 (59 enodes) 32.270 * * [simplify]: iters left: 4 (97 enodes) 32.301 * * [simplify]: iters left: 3 (148 enodes) 32.342 * * [simplify]: iters left: 2 (169 enodes) 32.374 * * [simplify]: Extracting #0: cost 1 inf + 0 32.374 * * [simplify]: Extracting #1: cost 16 inf + 0 32.374 * * [simplify]: Extracting #2: cost 28 inf + 44 32.374 * * [simplify]: Extracting #3: cost 37 inf + 87 32.374 * * [simplify]: Extracting #4: cost 43 inf + 90 32.374 * * [simplify]: Extracting #5: cost 34 inf + 1179 32.376 * * [simplify]: Extracting #6: cost 5 inf + 7798 32.378 * * [simplify]: Extracting #7: cost 0 inf + 9302 32.380 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 32.381 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 32.381 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 32.381 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 32.381 * * [simplify]: iters left: 6 (15 enodes) 32.385 * * [simplify]: iters left: 5 (59 enodes) 32.395 * * [simplify]: iters left: 4 (97 enodes) 32.413 * * [simplify]: iters left: 3 (148 enodes) 32.448 * * [simplify]: iters left: 2 (169 enodes) 32.469 * * [simplify]: Extracting #0: cost 1 inf + 0 32.470 * * [simplify]: Extracting #1: cost 16 inf + 0 32.470 * * [simplify]: Extracting #2: cost 28 inf + 44 32.470 * * [simplify]: Extracting #3: cost 37 inf + 87 32.470 * * [simplify]: Extracting #4: cost 43 inf + 90 32.471 * * [simplify]: Extracting #5: cost 34 inf + 1179 32.474 * * [simplify]: Extracting #6: cost 5 inf + 7798 32.479 * * [simplify]: Extracting #7: cost 0 inf + 9302 32.483 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 32.483 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 32.484 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 32.484 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 32.484 * * [simplify]: iters left: 6 (15 enodes) 32.493 * * [simplify]: iters left: 5 (59 enodes) 32.515 * * [simplify]: iters left: 4 (97 enodes) 32.530 * * [simplify]: iters left: 3 (148 enodes) 32.558 * * [simplify]: iters left: 2 (169 enodes) 32.603 * * [simplify]: Extracting #0: cost 1 inf + 0 32.603 * * [simplify]: Extracting #1: cost 16 inf + 0 32.603 * * [simplify]: Extracting #2: cost 28 inf + 44 32.603 * * [simplify]: Extracting #3: cost 37 inf + 87 32.604 * * [simplify]: Extracting #4: cost 43 inf + 90 32.604 * * [simplify]: Extracting #5: cost 34 inf + 1179 32.607 * * [simplify]: Extracting #6: cost 5 inf + 7798 32.612 * * [simplify]: Extracting #7: cost 0 inf + 9302 32.616 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 32.617 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 32.617 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 32.617 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 32.618 * * [simplify]: iters left: 6 (15 enodes) 32.629 * * [simplify]: iters left: 5 (59 enodes) 32.639 * * [simplify]: iters left: 4 (97 enodes) 32.654 * * [simplify]: iters left: 3 (148 enodes) 32.677 * * [simplify]: iters left: 2 (169 enodes) 32.711 * * [simplify]: Extracting #0: cost 1 inf + 0 32.711 * * [simplify]: Extracting #1: cost 16 inf + 0 32.711 * * [simplify]: Extracting #2: cost 28 inf + 44 32.711 * * [simplify]: Extracting #3: cost 37 inf + 87 32.712 * * [simplify]: Extracting #4: cost 43 inf + 90 32.712 * * [simplify]: Extracting #5: cost 34 inf + 1179 32.714 * * [simplify]: Extracting #6: cost 5 inf + 7798 32.717 * * [simplify]: Extracting #7: cost 0 inf + 9302 32.719 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 32.719 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 32.719 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 32.720 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 32.720 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 32.720 * * [simplify]: iters left: 6 (19 enodes) 32.725 * * [simplify]: iters left: 5 (71 enodes) 32.737 * * [simplify]: iters left: 4 (110 enodes) 32.766 * * [simplify]: iters left: 3 (165 enodes) 32.797 * * [simplify]: iters left: 2 (194 enodes) 32.834 * * [simplify]: Extracting #0: cost 1 inf + 0 32.834 * * [simplify]: Extracting #1: cost 16 inf + 0 32.834 * * [simplify]: Extracting #2: cost 34 inf + 0 32.834 * * [simplify]: Extracting #3: cost 34 inf + 215 32.835 * * [simplify]: Extracting #4: cost 41 inf + 651 32.835 * * [simplify]: Extracting #5: cost 44 inf + 982 32.835 * * [simplify]: Extracting #6: cost 29 inf + 4046 32.837 * * [simplify]: Extracting #7: cost 6 inf + 11301 32.840 * * [simplify]: Extracting #8: cost 1 inf + 14155 32.842 * * [simplify]: Extracting #9: cost 0 inf + 14836 32.845 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)) 32.845 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (exp (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 32.846 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 32.846 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (log (* -2 J))) 32.846 * * [simplify]: iters left: 6 (18 enodes) 32.851 * * [simplify]: iters left: 5 (69 enodes) 32.862 * * [simplify]: iters left: 4 (104 enodes) 32.893 * * [simplify]: iters left: 3 (156 enodes) 32.921 * * [simplify]: iters left: 2 (190 enodes) 32.957 * * [simplify]: Extracting #0: cost 1 inf + 0 32.957 * * [simplify]: Extracting #1: cost 16 inf + 0 32.957 * * [simplify]: Extracting #2: cost 35 inf + 0 32.957 * * [simplify]: Extracting #3: cost 32 inf + 552 32.957 * * [simplify]: Extracting #4: cost 41 inf + 595 32.958 * * [simplify]: Extracting #5: cost 44 inf + 926 32.958 * * [simplify]: Extracting #6: cost 30 inf + 3767 32.960 * * [simplify]: Extracting #7: cost 7 inf + 11016 32.963 * * [simplify]: Extracting #8: cost 1 inf + 13859 32.965 * * [simplify]: Extracting #9: cost 0 inf + 14360 32.968 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))) 32.968 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (exp (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2)))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 32.968 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 32.968 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (+ (log -2) (log J))) 32.969 * * [simplify]: iters left: 6 (18 enodes) 32.973 * * [simplify]: iters left: 5 (69 enodes) 32.984 * * [simplify]: iters left: 4 (104 enodes) 33.010 * * [simplify]: iters left: 3 (156 enodes) 33.033 * * [simplify]: iters left: 2 (190 enodes) 33.060 * * [simplify]: Extracting #0: cost 1 inf + 0 33.060 * * [simplify]: Extracting #1: cost 16 inf + 0 33.060 * * [simplify]: Extracting #2: cost 35 inf + 0 33.060 * * [simplify]: Extracting #3: cost 38 inf + 73 33.060 * * [simplify]: Extracting #4: cost 43 inf + 651 33.061 * * [simplify]: Extracting #5: cost 46 inf + 982 33.062 * * [simplify]: Extracting #6: cost 29 inf + 4390 33.066 * * [simplify]: Extracting #7: cost 7 inf + 11744 33.072 * * [simplify]: Extracting #8: cost 0 inf + 14916 33.077 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 33.078 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (exp (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 33.078 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 33.078 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (log (* -2 J))) 33.078 * * [simplify]: iters left: 6 (17 enodes) 33.087 * * [simplify]: iters left: 5 (67 enodes) 33.106 * * [simplify]: iters left: 4 (101 enodes) 33.125 * * [simplify]: iters left: 3 (149 enodes) 33.151 * * [simplify]: iters left: 2 (184 enodes) 33.183 * * [simplify]: iters left: 1 (189 enodes) 33.209 * * [simplify]: Extracting #0: cost 1 inf + 0 33.209 * * [simplify]: Extracting #1: cost 16 inf + 0 33.209 * * [simplify]: Extracting #2: cost 36 inf + 0 33.209 * * [simplify]: Extracting #3: cost 36 inf + 369 33.209 * * [simplify]: Extracting #4: cost 43 inf + 595 33.210 * * [simplify]: Extracting #5: cost 47 inf + 844 33.210 * * [simplify]: Extracting #6: cost 29 inf + 4264 33.212 * * [simplify]: Extracting #7: cost 10 inf + 9815 33.215 * * [simplify]: Extracting #8: cost 0 inf + 14440 33.217 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 33.218 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (exp (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 33.218 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 33.218 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 33.218 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 33.218 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 33.218 * * [simplify]: iters left: 6 (23 enodes) 33.225 * * [simplify]: iters left: 5 (96 enodes) 33.262 * * [simplify]: iters left: 4 (226 enodes) 33.757 * * [simplify]: Extracting #0: cost 1 inf + 0 33.757 * * [simplify]: Extracting #1: cost 59 inf + 0 33.758 * * [simplify]: Extracting #2: cost 264 inf + 452 33.759 * * [simplify]: Extracting #3: cost 261 inf + 2097 33.764 * * [simplify]: Extracting #4: cost 179 inf + 28052 33.791 * * [simplify]: Extracting #5: cost 16 inf + 92312 33.837 * * [simplify]: Extracting #6: cost 0 inf + 97231 33.877 * * [simplify]: Extracting #7: cost 0 inf + 96951 33.904 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 33.905 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 33.905 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 33.905 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 33.906 * * [simplify]: iters left: 6 (21 enodes) 33.918 * * [simplify]: iters left: 5 (94 enodes) 33.955 * * [simplify]: iters left: 4 (226 enodes) 34.057 * * [simplify]: Extracting #0: cost 1 inf + 0 34.057 * * [simplify]: Extracting #1: cost 56 inf + 0 34.058 * * [simplify]: Extracting #2: cost 226 inf + 168 34.059 * * [simplify]: Extracting #3: cost 220 inf + 2184 34.061 * * [simplify]: Extracting #4: cost 220 inf + 2477 34.063 * * [simplify]: Extracting #5: cost 179 inf + 10402 34.071 * * [simplify]: Extracting #6: cost 96 inf + 40336 34.100 * * [simplify]: Extracting #7: cost 16 inf + 78408 34.146 * * [simplify]: Extracting #8: cost 0 inf + 86304 34.190 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)) 34.190 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 34.191 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 34.191 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 34.191 * * [simplify]: iters left: 6 (21 enodes) 34.198 * * [simplify]: iters left: 5 (95 enodes) 34.219 * * [simplify]: iters left: 4 (237 enodes) 34.353 * * [simplify]: Extracting #0: cost 1 inf + 0 34.353 * * [simplify]: Extracting #1: cost 52 inf + 0 34.354 * * [simplify]: Extracting #2: cost 228 inf + 87 34.356 * * [simplify]: Extracting #3: cost 240 inf + 788 34.363 * * [simplify]: Extracting #4: cost 181 inf + 20237 34.393 * * [simplify]: Extracting #5: cost 29 inf + 81640 34.424 * * [simplify]: Extracting #6: cost 0 inf + 94822 34.456 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 34.456 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 34.457 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 34.457 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 34.457 * * [simplify]: iters left: 6 (19 enodes) 34.463 * * [simplify]: iters left: 5 (92 enodes) 34.488 * * [simplify]: iters left: 4 (233 enodes) 34.592 * * [simplify]: Extracting #0: cost 1 inf + 0 34.592 * * [simplify]: Extracting #1: cost 55 inf + 0 34.592 * * [simplify]: Extracting #2: cost 241 inf + 128 34.594 * * [simplify]: Extracting #3: cost 234 inf + 1974 34.598 * * [simplify]: Extracting #4: cost 180 inf + 20443 34.621 * * [simplify]: Extracting #5: cost 20 inf + 86900 34.645 * * [simplify]: Extracting #6: cost 0 inf + 95958 34.682 * * [simplify]: Extracting #7: cost 0 inf + 95918 34.731 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))) 34.731 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2)))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 34.732 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 34.732 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 34.732 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 34.732 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 34.732 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 34.732 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 34.732 * [simplify]: Simplifying (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 34.732 * * [simplify]: iters left: 6 (11 enodes) 34.738 * * [simplify]: iters left: 5 (40 enodes) 34.753 * * [simplify]: iters left: 4 (56 enodes) 34.770 * * [simplify]: iters left: 3 (74 enodes) 34.790 * * [simplify]: iters left: 2 (81 enodes) 34.811 * * [simplify]: Extracting #0: cost 1 inf + 0 34.811 * * [simplify]: Extracting #1: cost 4 inf + 0 34.811 * * [simplify]: Extracting #2: cost 14 inf + 1 34.811 * * [simplify]: Extracting #3: cost 22 inf + 46 34.812 * * [simplify]: Extracting #4: cost 24 inf + 255 34.812 * * [simplify]: Extracting #5: cost 20 inf + 423 34.813 * * [simplify]: Extracting #6: cost 8 inf + 2096 34.813 * * [simplify]: Extracting #7: cost 0 inf + 3675 34.814 * [simplify]: Simplified to (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 34.814 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 34.814 * * * * [progress]: [ 49 / 99 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))> 34.814 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 34.815 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 34.815 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 34.815 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 34.815 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 34.815 * * [simplify]: iters left: 6 (15 enodes) 34.819 * * [simplify]: iters left: 5 (59 enodes) 34.829 * * [simplify]: iters left: 4 (97 enodes) 34.845 * * [simplify]: iters left: 3 (148 enodes) 34.875 * * [simplify]: iters left: 2 (169 enodes) 34.912 * * [simplify]: Extracting #0: cost 1 inf + 0 34.912 * * [simplify]: Extracting #1: cost 16 inf + 0 34.912 * * [simplify]: Extracting #2: cost 28 inf + 44 34.913 * * [simplify]: Extracting #3: cost 37 inf + 87 34.913 * * [simplify]: Extracting #4: cost 43 inf + 90 34.914 * * [simplify]: Extracting #5: cost 34 inf + 1179 34.917 * * [simplify]: Extracting #6: cost 5 inf + 7798 34.921 * * [simplify]: Extracting #7: cost 0 inf + 9302 34.926 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 34.926 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 34.926 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 34.926 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 34.927 * * [simplify]: iters left: 6 (15 enodes) 34.935 * * [simplify]: iters left: 5 (59 enodes) 34.950 * * [simplify]: iters left: 4 (97 enodes) 34.965 * * [simplify]: iters left: 3 (148 enodes) 34.990 * * [simplify]: iters left: 2 (169 enodes) 35.033 * * [simplify]: Extracting #0: cost 1 inf + 0 35.034 * * [simplify]: Extracting #1: cost 16 inf + 0 35.034 * * [simplify]: Extracting #2: cost 28 inf + 44 35.034 * * [simplify]: Extracting #3: cost 37 inf + 87 35.034 * * [simplify]: Extracting #4: cost 43 inf + 90 35.035 * * [simplify]: Extracting #5: cost 34 inf + 1179 35.038 * * [simplify]: Extracting #6: cost 5 inf + 7798 35.043 * * [simplify]: Extracting #7: cost 0 inf + 9302 35.047 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 35.047 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.047 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 35.048 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 35.048 * * [simplify]: iters left: 6 (15 enodes) 35.056 * * [simplify]: iters left: 5 (59 enodes) 35.076 * * [simplify]: iters left: 4 (97 enodes) 35.108 * * [simplify]: iters left: 3 (148 enodes) 35.144 * * [simplify]: iters left: 2 (169 enodes) 35.165 * * [simplify]: Extracting #0: cost 1 inf + 0 35.166 * * [simplify]: Extracting #1: cost 16 inf + 0 35.166 * * [simplify]: Extracting #2: cost 28 inf + 44 35.166 * * [simplify]: Extracting #3: cost 37 inf + 87 35.166 * * [simplify]: Extracting #4: cost 43 inf + 90 35.167 * * [simplify]: Extracting #5: cost 34 inf + 1179 35.170 * * [simplify]: Extracting #6: cost 5 inf + 7798 35.175 * * [simplify]: Extracting #7: cost 0 inf + 9302 35.179 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 35.180 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.180 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 35.180 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 35.180 * * [simplify]: iters left: 6 (15 enodes) 35.188 * * [simplify]: iters left: 5 (59 enodes) 35.209 * * [simplify]: iters left: 4 (97 enodes) 35.234 * * [simplify]: iters left: 3 (148 enodes) 35.254 * * [simplify]: iters left: 2 (169 enodes) 35.295 * * [simplify]: Extracting #0: cost 1 inf + 0 35.295 * * [simplify]: Extracting #1: cost 16 inf + 0 35.295 * * [simplify]: Extracting #2: cost 28 inf + 44 35.295 * * [simplify]: Extracting #3: cost 37 inf + 87 35.296 * * [simplify]: Extracting #4: cost 43 inf + 90 35.296 * * [simplify]: Extracting #5: cost 34 inf + 1179 35.299 * * [simplify]: Extracting #6: cost 5 inf + 7798 35.304 * * [simplify]: Extracting #7: cost 0 inf + 9302 35.309 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 35.309 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.309 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 35.309 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 35.310 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 35.310 * * [simplify]: iters left: 6 (19 enodes) 35.319 * * [simplify]: iters left: 5 (71 enodes) 35.332 * * [simplify]: iters left: 4 (110 enodes) 35.352 * * [simplify]: iters left: 3 (165 enodes) 35.387 * * [simplify]: iters left: 2 (194 enodes) 35.414 * * [simplify]: Extracting #0: cost 1 inf + 0 35.414 * * [simplify]: Extracting #1: cost 16 inf + 0 35.415 * * [simplify]: Extracting #2: cost 34 inf + 0 35.415 * * [simplify]: Extracting #3: cost 34 inf + 215 35.415 * * [simplify]: Extracting #4: cost 41 inf + 651 35.416 * * [simplify]: Extracting #5: cost 44 inf + 982 35.417 * * [simplify]: Extracting #6: cost 29 inf + 4046 35.420 * * [simplify]: Extracting #7: cost 6 inf + 11301 35.426 * * [simplify]: Extracting #8: cost 1 inf + 14155 35.431 * * [simplify]: Extracting #9: cost 0 inf + 14836 35.437 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)) 35.437 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.437 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 35.438 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (log (* -2 J))) 35.438 * * [simplify]: iters left: 6 (18 enodes) 35.447 * * [simplify]: iters left: 5 (69 enodes) 35.461 * * [simplify]: iters left: 4 (104 enodes) 35.477 * * [simplify]: iters left: 3 (156 enodes) 35.504 * * [simplify]: iters left: 2 (190 enodes) 35.550 * * [simplify]: Extracting #0: cost 1 inf + 0 35.550 * * [simplify]: Extracting #1: cost 16 inf + 0 35.550 * * [simplify]: Extracting #2: cost 35 inf + 0 35.550 * * [simplify]: Extracting #3: cost 32 inf + 552 35.551 * * [simplify]: Extracting #4: cost 41 inf + 595 35.551 * * [simplify]: Extracting #5: cost 44 inf + 926 35.552 * * [simplify]: Extracting #6: cost 30 inf + 3767 35.556 * * [simplify]: Extracting #7: cost 7 inf + 11016 35.561 * * [simplify]: Extracting #8: cost 1 inf + 13859 35.567 * * [simplify]: Extracting #9: cost 0 inf + 14360 35.572 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))) 35.572 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.573 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 35.573 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (+ (log -2) (log J))) 35.573 * * [simplify]: iters left: 6 (18 enodes) 35.582 * * [simplify]: iters left: 5 (69 enodes) 35.599 * * [simplify]: iters left: 4 (104 enodes) 35.615 * * [simplify]: iters left: 3 (156 enodes) 35.639 * * [simplify]: iters left: 2 (190 enodes) 35.661 * * [simplify]: Extracting #0: cost 1 inf + 0 35.661 * * [simplify]: Extracting #1: cost 16 inf + 0 35.661 * * [simplify]: Extracting #2: cost 35 inf + 0 35.661 * * [simplify]: Extracting #3: cost 38 inf + 73 35.661 * * [simplify]: Extracting #4: cost 43 inf + 651 35.661 * * [simplify]: Extracting #5: cost 46 inf + 982 35.662 * * [simplify]: Extracting #6: cost 29 inf + 4390 35.664 * * [simplify]: Extracting #7: cost 7 inf + 11744 35.667 * * [simplify]: Extracting #8: cost 0 inf + 14916 35.670 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 35.670 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.670 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 35.670 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (log (* -2 J))) 35.670 * * [simplify]: iters left: 6 (17 enodes) 35.676 * * [simplify]: iters left: 5 (67 enodes) 35.697 * * [simplify]: iters left: 4 (101 enodes) 35.718 * * [simplify]: iters left: 3 (149 enodes) 35.744 * * [simplify]: iters left: 2 (184 enodes) 35.790 * * [simplify]: iters left: 1 (189 enodes) 35.840 * * [simplify]: Extracting #0: cost 1 inf + 0 35.841 * * [simplify]: Extracting #1: cost 16 inf + 0 35.841 * * [simplify]: Extracting #2: cost 36 inf + 0 35.841 * * [simplify]: Extracting #3: cost 36 inf + 369 35.842 * * [simplify]: Extracting #4: cost 43 inf + 595 35.842 * * [simplify]: Extracting #5: cost 47 inf + 844 35.843 * * [simplify]: Extracting #6: cost 29 inf + 4264 35.847 * * [simplify]: Extracting #7: cost 10 inf + 9815 35.852 * * [simplify]: Extracting #8: cost 0 inf + 14440 35.857 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 35.858 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 35.858 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 35.858 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 35.858 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 35.858 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 35.859 * * [simplify]: iters left: 6 (23 enodes) 35.868 * * [simplify]: iters left: 5 (96 enodes) 35.887 * * [simplify]: iters left: 4 (226 enodes) 36.003 * * [simplify]: Extracting #0: cost 1 inf + 0 36.003 * * [simplify]: Extracting #1: cost 59 inf + 0 36.005 * * [simplify]: Extracting #2: cost 264 inf + 452 36.008 * * [simplify]: Extracting #3: cost 261 inf + 2097 36.017 * * [simplify]: Extracting #4: cost 179 inf + 28052 36.052 * * [simplify]: Extracting #5: cost 16 inf + 92312 36.079 * * [simplify]: Extracting #6: cost 0 inf + 97231 36.105 * * [simplify]: Extracting #7: cost 0 inf + 96951 36.134 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 36.135 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 36.135 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 36.135 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 36.135 * * [simplify]: iters left: 6 (21 enodes) 36.142 * * [simplify]: iters left: 5 (94 enodes) 36.175 * * [simplify]: iters left: 4 (226 enodes) 36.274 * * [simplify]: Extracting #0: cost 1 inf + 0 36.275 * * [simplify]: Extracting #1: cost 56 inf + 0 36.278 * * [simplify]: Extracting #2: cost 226 inf + 168 36.279 * * [simplify]: Extracting #3: cost 220 inf + 2184 36.280 * * [simplify]: Extracting #4: cost 220 inf + 2477 36.282 * * [simplify]: Extracting #5: cost 179 inf + 10402 36.290 * * [simplify]: Extracting #6: cost 96 inf + 40336 36.326 * * [simplify]: Extracting #7: cost 16 inf + 78408 36.372 * * [simplify]: Extracting #8: cost 0 inf + 86304 36.413 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)) 36.413 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 36.414 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 36.414 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 36.414 * * [simplify]: iters left: 6 (21 enodes) 36.421 * * [simplify]: iters left: 5 (95 enodes) 36.441 * * [simplify]: iters left: 4 (237 enodes) 36.574 * * [simplify]: Extracting #0: cost 1 inf + 0 36.574 * * [simplify]: Extracting #1: cost 52 inf + 0 36.575 * * [simplify]: Extracting #2: cost 228 inf + 87 36.577 * * [simplify]: Extracting #3: cost 240 inf + 788 36.584 * * [simplify]: Extracting #4: cost 181 inf + 20237 36.605 * * [simplify]: Extracting #5: cost 29 inf + 81640 36.629 * * [simplify]: Extracting #6: cost 0 inf + 94822 36.655 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 36.655 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 36.655 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 36.655 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 36.655 * * [simplify]: iters left: 6 (19 enodes) 36.662 * * [simplify]: iters left: 5 (92 enodes) 36.688 * * [simplify]: iters left: 4 (233 enodes) 36.796 * * [simplify]: Extracting #0: cost 1 inf + 0 36.796 * * [simplify]: Extracting #1: cost 55 inf + 0 36.797 * * [simplify]: Extracting #2: cost 241 inf + 128 36.798 * * [simplify]: Extracting #3: cost 234 inf + 1974 36.802 * * [simplify]: Extracting #4: cost 180 inf + 20443 36.827 * * [simplify]: Extracting #5: cost 20 inf + 86900 36.863 * * [simplify]: Extracting #6: cost 0 inf + 95958 36.894 * * [simplify]: Extracting #7: cost 0 inf + 95918 36.944 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))) 36.945 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* J -2))))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 36.945 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 36.945 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 36.945 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 36.945 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 36.945 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 36.945 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 36.946 * [simplify]: Simplifying (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 36.946 * * [simplify]: iters left: 6 (11 enodes) 36.951 * * [simplify]: iters left: 5 (40 enodes) 36.963 * * [simplify]: iters left: 4 (56 enodes) 36.971 * * [simplify]: iters left: 3 (74 enodes) 36.982 * * [simplify]: iters left: 2 (81 enodes) 36.993 * * [simplify]: Extracting #0: cost 1 inf + 0 36.993 * * [simplify]: Extracting #1: cost 4 inf + 0 36.993 * * [simplify]: Extracting #2: cost 14 inf + 1 36.993 * * [simplify]: Extracting #3: cost 22 inf + 46 36.993 * * [simplify]: Extracting #4: cost 24 inf + 255 36.993 * * [simplify]: Extracting #5: cost 20 inf + 423 36.994 * * [simplify]: Extracting #6: cost 8 inf + 2096 36.994 * * [simplify]: Extracting #7: cost 0 inf + 3675 36.995 * [simplify]: Simplified to (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 36.995 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 36.995 * * * * [progress]: [ 74 / 99 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))> 36.995 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 36.995 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 36.995 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 36.995 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 36.995 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 36.996 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 36.996 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 36.996 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 36.996 * [simplify]: Simplifying (cbrt (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) 36.996 * * [simplify]: iters left: 6 (13 enodes) 36.999 * * [simplify]: iters left: 5 (47 enodes) 37.007 * * [simplify]: iters left: 4 (63 enodes) 37.022 * * [simplify]: iters left: 3 (81 enodes) 37.033 * * [simplify]: iters left: 2 (88 enodes) 37.045 * * [simplify]: Extracting #0: cost 1 inf + 0 37.045 * * [simplify]: Extracting #1: cost 3 inf + 0 37.045 * * [simplify]: Extracting #2: cost 6 inf + 0 37.045 * * [simplify]: Extracting #3: cost 11 inf + 0 37.045 * * [simplify]: Extracting #4: cost 22 inf + 1 37.045 * * [simplify]: Extracting #5: cost 27 inf + 47 37.045 * * [simplify]: Extracting #6: cost 20 inf + 1134 37.046 * * [simplify]: Extracting #7: cost 1 inf + 4795 37.047 * * [simplify]: Extracting #8: cost 0 inf + 5115 37.048 * [simplify]: Simplified to (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) 37.048 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (* (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (cbrt (* -2 J))))) 37.048 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 37.048 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 37.048 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 37.048 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 37.048 * * * * [progress]: [ 87 / 99 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))))> 37.048 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 37.048 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 37.048 * * [simplify]: iters left: 6 (10 enodes) 37.052 * * [simplify]: iters left: 5 (44 enodes) 37.061 * * [simplify]: iters left: 4 (83 enodes) 37.074 * * [simplify]: iters left: 3 (132 enodes) 37.092 * * [simplify]: iters left: 2 (186 enodes) 37.124 * * [simplify]: iters left: 1 (263 enodes) 37.177 * * [simplify]: Extracting #0: cost 1 inf + 0 37.177 * * [simplify]: Extracting #1: cost 23 inf + 0 37.177 * * [simplify]: Extracting #2: cost 44 inf + 89 37.178 * * [simplify]: Extracting #3: cost 21 inf + 2920 37.180 * * [simplify]: Extracting #4: cost 0 inf + 4598 37.181 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 37.181 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (fma (/ -1/4 J) (* U U) (* J -2))))) 37.181 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 37.182 * [simplify]: Simplifying (* -1 U) 37.182 * * [simplify]: iters left: 2 (3 enodes) 37.183 * * [simplify]: iters left: 1 (11 enodes) 37.185 * * [simplify]: Extracting #0: cost 1 inf + 0 37.185 * * [simplify]: Extracting #1: cost 4 inf + 0 37.185 * * [simplify]: Extracting #2: cost 0 inf + 84 37.185 * [simplify]: Simplified to (- U) 37.185 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (- U)))) 37.185 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 37.185 * [simplify]: Simplifying (* -1 U) 37.185 * * [simplify]: iters left: 2 (3 enodes) 37.186 * * [simplify]: iters left: 1 (11 enodes) 37.188 * * [simplify]: Extracting #0: cost 1 inf + 0 37.188 * * [simplify]: Extracting #1: cost 4 inf + 0 37.188 * * [simplify]: Extracting #2: cost 0 inf + 84 37.188 * [simplify]: Simplified to (- U) 37.188 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (- U)))) 37.188 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 37.188 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 37.188 * * [simplify]: iters left: 6 (10 enodes) 37.191 * * [simplify]: iters left: 5 (44 enodes) 37.201 * * [simplify]: iters left: 4 (83 enodes) 37.229 * * [simplify]: iters left: 3 (132 enodes) 37.262 * * [simplify]: iters left: 2 (186 enodes) 37.293 * * [simplify]: iters left: 1 (263 enodes) 37.343 * * [simplify]: Extracting #0: cost 1 inf + 0 37.343 * * [simplify]: Extracting #1: cost 23 inf + 0 37.344 * * [simplify]: Extracting #2: cost 44 inf + 89 37.346 * * [simplify]: Extracting #3: cost 21 inf + 2920 37.349 * * [simplify]: Extracting #4: cost 0 inf + 4598 37.352 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 37.352 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (fma (/ -1/4 J) (* U U) (* J -2)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 37.352 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 37.353 * [simplify]: Simplifying (* -1 U) 37.353 * * [simplify]: iters left: 2 (3 enodes) 37.355 * * [simplify]: iters left: 1 (11 enodes) 37.358 * * [simplify]: Extracting #0: cost 1 inf + 0 37.358 * * [simplify]: Extracting #1: cost 4 inf + 0 37.358 * * [simplify]: Extracting #2: cost 0 inf + 84 37.358 * [simplify]: Simplified to (- U) 37.359 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (- U))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 37.359 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 37.359 * [simplify]: Simplifying (* -1 U) 37.359 * * [simplify]: iters left: 2 (3 enodes) 37.361 * * [simplify]: iters left: 1 (11 enodes) 37.363 * * [simplify]: Extracting #0: cost 1 inf + 0 37.363 * * [simplify]: Extracting #1: cost 4 inf + 0 37.363 * * [simplify]: Extracting #2: cost 0 inf + 84 37.363 * [simplify]: Simplified to (- U) 37.363 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (- U))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 37.363 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 37.363 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 37.363 * * [simplify]: iters left: 6 (10 enodes) 37.367 * * [simplify]: iters left: 5 (44 enodes) 37.375 * * [simplify]: iters left: 4 (83 enodes) 37.389 * * [simplify]: iters left: 3 (132 enodes) 37.420 * * [simplify]: iters left: 2 (186 enodes) 37.483 * * [simplify]: iters left: 1 (263 enodes) 37.531 * * [simplify]: Extracting #0: cost 1 inf + 0 37.531 * * [simplify]: Extracting #1: cost 23 inf + 0 37.531 * * [simplify]: Extracting #2: cost 44 inf + 89 37.532 * * [simplify]: Extracting #3: cost 21 inf + 2920 37.534 * * [simplify]: Extracting #4: cost 0 inf + 4598 37.535 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 37.535 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (fma (/ -1/4 J) (* U U) (* J -2))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 37.535 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 37.535 * [simplify]: Simplifying (* -1 U) 37.535 * * [simplify]: iters left: 2 (3 enodes) 37.537 * * [simplify]: iters left: 1 (11 enodes) 37.538 * * [simplify]: Extracting #0: cost 1 inf + 0 37.538 * * [simplify]: Extracting #1: cost 4 inf + 0 37.538 * * [simplify]: Extracting #2: cost 0 inf + 84 37.538 * [simplify]: Simplified to (- U) 37.539 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (- U)) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 37.539 * * * * [progress]: [ 96 / 99 ] simplifiying candidate # 37.539 * [simplify]: Simplifying (* -1 U) 37.539 * * [simplify]: iters left: 2 (3 enodes) 37.540 * * [simplify]: iters left: 1 (11 enodes) 37.542 * * [simplify]: Extracting #0: cost 1 inf + 0 37.542 * * [simplify]: Extracting #1: cost 4 inf + 0 37.542 * * [simplify]: Extracting #2: cost 0 inf + 84 37.542 * [simplify]: Simplified to (- U) 37.542 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (- U)) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))))) 37.542 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 37.542 * [simplify]: Simplifying (- (+ (* (cbrt -2) (pow J 1/3)) (* 1/24 (* (* (pow U 2) (cbrt -2)) (pow (/ 1 (pow J 5)) 1/3)))) (* 1/24 (* (* (pow K 2) (cbrt -2)) (pow J 1/3)))) 37.542 * * [simplify]: iters left: 6 (25 enodes) 37.550 * * [simplify]: iters left: 5 (116 enodes) 37.587 * * [simplify]: iters left: 4 (260 enodes) 37.675 * * [simplify]: Extracting #0: cost 1 inf + 0 37.675 * * [simplify]: Extracting #1: cost 33 inf + 0 37.675 * * [simplify]: Extracting #2: cost 157 inf + 2 37.676 * * [simplify]: Extracting #3: cost 181 inf + 2243 37.681 * * [simplify]: Extracting #4: cost 109 inf + 21198 37.692 * * [simplify]: Extracting #5: cost 72 inf + 33974 37.708 * * [simplify]: Extracting #6: cost 27 inf + 56801 37.727 * * [simplify]: Extracting #7: cost 2 inf + 70349 37.741 * * [simplify]: Extracting #8: cost 0 inf + 70759 37.750 * [simplify]: Simplified to (fma 1/24 (* (cbrt -2) (- (* (* U U) (cbrt (/ 1 (pow J 5)))) (* K (* K (cbrt J))))) (* (cbrt -2) (cbrt J))) 37.751 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (fma 1/24 (* (cbrt -2) (- (* (* U U) (cbrt (/ 1 (pow J 5)))) (* K (* K (cbrt J))))) (* (cbrt -2) (cbrt J))))) 37.751 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 37.751 * [simplify]: Simplifying (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log (/ 1 U)))))) 37.751 * * [simplify]: iters left: 6 (13 enodes) 37.756 * * [simplify]: iters left: 5 (51 enodes) 37.770 * * [simplify]: iters left: 4 (70 enodes) 37.794 * * [simplify]: iters left: 3 (121 enodes) 37.816 * * [simplify]: iters left: 2 (213 enodes) 37.862 * * [simplify]: iters left: 1 (401 enodes) 38.036 * * [simplify]: Extracting #0: cost 1 inf + 0 38.036 * * [simplify]: Extracting #1: cost 55 inf + 0 38.037 * * [simplify]: Extracting #2: cost 208 inf + 0 38.039 * * [simplify]: Extracting #3: cost 243 inf + 1767 38.045 * * [simplify]: Extracting #4: cost 182 inf + 17538 38.055 * * [simplify]: Extracting #5: cost 90 inf + 47391 38.076 * * [simplify]: Extracting #6: cost 21 inf + 101325 38.102 * * [simplify]: Extracting #7: cost 0 inf + 120376 38.132 * * [simplify]: Extracting #8: cost 0 inf + 119954 38.148 * [simplify]: Simplified to (* (cbrt (* 1/2 U)) (cbrt -2)) 38.148 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (* (cbrt (* 1/2 U)) (cbrt -2)))) 38.148 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 38.148 * [simplify]: Simplifying (* (cbrt 2) (exp (* 1/3 (- (log 1/2) (log (/ -1 U)))))) 38.148 * * [simplify]: iters left: 6 (13 enodes) 38.154 * * [simplify]: iters left: 5 (48 enodes) 38.163 * * [simplify]: iters left: 4 (72 enodes) 38.176 * * [simplify]: iters left: 3 (135 enodes) 38.209 * * [simplify]: iters left: 2 (270 enodes) 38.317 * * [simplify]: Extracting #0: cost 1 inf + 0 38.317 * * [simplify]: Extracting #1: cost 27 inf + 0 38.317 * * [simplify]: Extracting #2: cost 99 inf + 0 38.318 * * [simplify]: Extracting #3: cost 150 inf + 666 38.320 * * [simplify]: Extracting #4: cost 147 inf + 4570 38.323 * * [simplify]: Extracting #5: cost 107 inf + 11068 38.329 * * [simplify]: Extracting #6: cost 48 inf + 22333 38.335 * * [simplify]: Extracting #7: cost 14 inf + 37890 38.342 * * [simplify]: Extracting #8: cost 0 inf + 49226 38.352 * [simplify]: Simplified to (* (cbrt (* -1/2 U)) (cbrt 2)) 38.352 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))) (* (cbrt (* -1/2 U)) (cbrt 2)))) 38.352 * * * [progress]: adding candidates to table 39.793 * [progress]: [Phase 3 of 3] Extracting. 39.793 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> # # # # # # # # # #) 39.800 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 39.800 * * * * [regimes]: Trying to branch on U from (# #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> # # # # # # # # # #) 39.907 * * * * [regimes]: Trying to branch on K from (# #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> # # # # # # # # # #) 39.990 * * * * [regimes]: Trying to branch on (/ K 2) from (# #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> # # # # # # # # # #) 40.091 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> # # # # # # # # # #) 40.192 * * * * [regimes]: Trying to branch on J from (# #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> # # # # # # # # # #) 40.264 * * * [regime]: Found split indices: #