54.142 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.094 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.095 * * [simplify]: iteration 0: 17 enodes 0.099 * * [simplify]: iteration 1: 36 enodes 0.111 * * [simplify]: iteration 2: 81 enodes 0.154 * * [simplify]: iteration 3: 215 enodes 0.248 * * [simplify]: iteration 4: 782 enodes 0.974 * * [simplify]: iteration 5: 4486 enodes 1.910 * * [simplify]: iteration complete: 5025 enodes 1.910 * * [simplify]: Extracting #0: cost 1 inf + 0 1.910 * * [simplify]: Extracting #1: cost 124 inf + 0 1.911 * * [simplify]: Extracting #2: cost 173 inf + 296 1.911 * * [simplify]: Extracting #3: cost 158 inf + 1011 1.913 * * [simplify]: Extracting #4: cost 582 inf + 1097 1.920 * * [simplify]: Extracting #5: cost 1581 inf + 5116 1.944 * * [simplify]: Extracting #6: cost 997 inf + 145004 2.052 * * [simplify]: Extracting #7: cost 218 inf + 357472 2.184 * * [simplify]: Extracting #8: cost 40 inf + 456353 2.306 * * [simplify]: Extracting #9: cost 0 inf + 482281 2.452 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 2.460 * * [progress]: iteration 1 / 4 2.460 * * * [progress]: picking best candidate 2.467 * * * * [pick]: Picked # 2.467 * * * [progress]: localizing error 2.520 * * * [progress]: generating rewritten candidates 2.520 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.608 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.817 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.855 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.879 * * * [progress]: generating series expansions 2.879 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.880 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 2.880 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 2.880 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.880 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.880 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.880 * [taylor]: Taking taylor expansion of 1/4 in K 2.880 * [backup-simplify]: Simplify 1/4 into 1/4 2.880 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.880 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.880 * [taylor]: Taking taylor expansion of U in K 2.880 * [backup-simplify]: Simplify U into U 2.880 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.880 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.880 * [taylor]: Taking taylor expansion of 1/2 in K 2.880 * [backup-simplify]: Simplify 1/2 into 1/2 2.880 * [taylor]: Taking taylor expansion of K in K 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.881 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.881 * [taylor]: Taking taylor expansion of J in K 2.881 * [backup-simplify]: Simplify J into J 2.881 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.881 * [backup-simplify]: Simplify (* 1 1) into 1 2.881 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.882 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.882 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.882 * [taylor]: Taking taylor expansion of 1 in K 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.882 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.883 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.883 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.883 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.883 * [backup-simplify]: Simplify (+ 0) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.886 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.886 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.886 * [taylor]: Taking taylor expansion of 1/4 in J 2.886 * [backup-simplify]: Simplify 1/4 into 1/4 2.886 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.886 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.886 * [taylor]: Taking taylor expansion of U in J 2.886 * [backup-simplify]: Simplify U into U 2.886 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.886 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.886 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.886 * [taylor]: Taking taylor expansion of 1/2 in J 2.886 * [backup-simplify]: Simplify 1/2 into 1/2 2.886 * [taylor]: Taking taylor expansion of K in J 2.886 * [backup-simplify]: Simplify K into K 2.887 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.887 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.887 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.887 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.887 * [backup-simplify]: Simplify (- 0) into 0 2.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.887 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.887 * [taylor]: Taking taylor expansion of J in J 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.888 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.888 * [backup-simplify]: Simplify (* 1 1) into 1 2.888 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.888 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.888 * [taylor]: Taking taylor expansion of 1 in J 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 2.889 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 2.889 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.889 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.890 * [backup-simplify]: Simplify (+ 0) into 0 2.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.892 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.893 * [backup-simplify]: Simplify (- 0) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.894 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.894 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.896 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.896 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.896 * [taylor]: Taking taylor expansion of 1/4 in U 2.896 * [backup-simplify]: Simplify 1/4 into 1/4 2.896 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.896 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.896 * [taylor]: Taking taylor expansion of U in U 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.896 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.896 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.896 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.896 * [taylor]: Taking taylor expansion of 1/2 in U 2.896 * [backup-simplify]: Simplify 1/2 into 1/2 2.896 * [taylor]: Taking taylor expansion of K in U 2.896 * [backup-simplify]: Simplify K into K 2.896 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.896 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.896 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.897 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.897 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.897 * [backup-simplify]: Simplify (- 0) into 0 2.897 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.897 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.897 * [taylor]: Taking taylor expansion of J in U 2.897 * [backup-simplify]: Simplify J into J 2.898 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.898 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.898 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.898 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.898 * [taylor]: Taking taylor expansion of 1 in U 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (+ 0 1) into 1 2.899 * [backup-simplify]: Simplify (sqrt 1) into 1 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.900 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.900 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.900 * [taylor]: Taking taylor expansion of 1/4 in U 2.900 * [backup-simplify]: Simplify 1/4 into 1/4 2.900 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.900 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.900 * [taylor]: Taking taylor expansion of U in U 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.900 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.901 * [taylor]: Taking taylor expansion of 1/2 in U 2.901 * [backup-simplify]: Simplify 1/2 into 1/2 2.901 * [taylor]: Taking taylor expansion of K in U 2.901 * [backup-simplify]: Simplify K into K 2.901 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.901 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.901 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.901 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.902 * [backup-simplify]: Simplify (- 0) into 0 2.902 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.902 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.902 * [taylor]: Taking taylor expansion of J in U 2.902 * [backup-simplify]: Simplify J into J 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.902 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.902 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.903 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.903 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.903 * [taylor]: Taking taylor expansion of 1 in U 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (+ 0 1) into 1 2.904 * [backup-simplify]: Simplify (sqrt 1) into 1 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.905 * [taylor]: Taking taylor expansion of 1 in J 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [taylor]: Taking taylor expansion of 0 in J 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [taylor]: Taking taylor expansion of 1 in K 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.906 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.907 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.907 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.907 * [taylor]: Taking taylor expansion of 1/8 in J 2.907 * [backup-simplify]: Simplify 1/8 into 1/8 2.907 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.907 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.907 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.907 * [taylor]: Taking taylor expansion of 1/2 in J 2.907 * [backup-simplify]: Simplify 1/2 into 1/2 2.907 * [taylor]: Taking taylor expansion of K in J 2.907 * [backup-simplify]: Simplify K into K 2.907 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.907 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.908 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.908 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.908 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.908 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.908 * [taylor]: Taking taylor expansion of J in J 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.909 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.909 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.910 * [backup-simplify]: Simplify (+ 0) into 0 2.910 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.912 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.912 * [backup-simplify]: Simplify (- 0) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.914 * [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 2.914 * [taylor]: Taking taylor expansion of 0 in K 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [taylor]: Taking taylor expansion of 0 in K 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [taylor]: Taking taylor expansion of 0 in K 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.915 * [backup-simplify]: Simplify (+ 0) into 0 2.916 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.917 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.918 * [backup-simplify]: Simplify (- 0) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.919 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.921 * [taylor]: Taking taylor expansion of 0 in J 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.925 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.925 * [backup-simplify]: Simplify (- 0) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.927 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.928 * [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 2.928 * [taylor]: Taking taylor expansion of 0 in K 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [taylor]: Taking taylor expansion of 0 in K 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 2.928 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 2.928 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.928 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.928 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.928 * [taylor]: Taking taylor expansion of 1/4 in K 2.928 * [backup-simplify]: Simplify 1/4 into 1/4 2.929 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.929 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.929 * [taylor]: Taking taylor expansion of J in K 2.929 * [backup-simplify]: Simplify J into J 2.929 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.929 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.929 * [taylor]: Taking taylor expansion of U in K 2.929 * [backup-simplify]: Simplify U into U 2.929 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.929 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.929 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.929 * [taylor]: Taking taylor expansion of 1/2 in K 2.929 * [backup-simplify]: Simplify 1/2 into 1/2 2.929 * [taylor]: Taking taylor expansion of K in K 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.929 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.929 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.930 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.930 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.930 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.930 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.930 * [taylor]: Taking taylor expansion of 1 in K 2.930 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.931 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 2.931 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 2.932 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.932 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.933 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.934 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.934 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.935 * [taylor]: Taking taylor expansion of 1/4 in J 2.935 * [backup-simplify]: Simplify 1/4 into 1/4 2.935 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.935 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.935 * [taylor]: Taking taylor expansion of J in J 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.935 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.935 * [taylor]: Taking taylor expansion of U in J 2.935 * [backup-simplify]: Simplify U into U 2.935 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.935 * [taylor]: Taking taylor expansion of 1/2 in J 2.935 * [backup-simplify]: Simplify 1/2 into 1/2 2.935 * [taylor]: Taking taylor expansion of K in J 2.935 * [backup-simplify]: Simplify K into K 2.935 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.935 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.935 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.935 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.936 * [backup-simplify]: Simplify (- 0) into 0 2.936 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.936 * [backup-simplify]: Simplify (* 1 1) into 1 2.936 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.936 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.937 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.937 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.937 * [taylor]: Taking taylor expansion of 1 in J 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (+ 0 1) into 1 2.938 * [backup-simplify]: Simplify (sqrt 1) into 1 2.938 * [backup-simplify]: Simplify (+ 0 0) into 0 2.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.939 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.939 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.939 * [taylor]: Taking taylor expansion of 1/4 in U 2.939 * [backup-simplify]: Simplify 1/4 into 1/4 2.939 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.939 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.939 * [taylor]: Taking taylor expansion of J in U 2.939 * [backup-simplify]: Simplify J into J 2.939 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.939 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.939 * [taylor]: Taking taylor expansion of U in U 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.939 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.939 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.939 * [taylor]: Taking taylor expansion of 1/2 in U 2.939 * [backup-simplify]: Simplify 1/2 into 1/2 2.939 * [taylor]: Taking taylor expansion of K in U 2.939 * [backup-simplify]: Simplify K into K 2.939 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.939 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.939 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.939 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.939 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.940 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.940 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.940 * [backup-simplify]: Simplify (* 1 1) into 1 2.940 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.941 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.941 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.941 * [taylor]: Taking taylor expansion of 1 in U 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.941 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.942 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.942 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.942 * [backup-simplify]: Simplify (+ 0) into 0 2.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.944 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.948 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.948 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.948 * [taylor]: Taking taylor expansion of 1/4 in U 2.948 * [backup-simplify]: Simplify 1/4 into 1/4 2.948 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.948 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.948 * [taylor]: Taking taylor expansion of J in U 2.948 * [backup-simplify]: Simplify J into J 2.948 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.948 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.948 * [taylor]: Taking taylor expansion of U in U 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.948 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.948 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.948 * [taylor]: Taking taylor expansion of 1/2 in U 2.948 * [backup-simplify]: Simplify 1/2 into 1/2 2.948 * [taylor]: Taking taylor expansion of K in U 2.948 * [backup-simplify]: Simplify K into K 2.948 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.948 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.948 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.949 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.949 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.949 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.949 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.950 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.950 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.950 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.950 * [taylor]: Taking taylor expansion of 1 in U 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.951 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.951 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.951 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.951 * [backup-simplify]: Simplify (+ 0) into 0 2.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.955 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.955 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 2.956 * [taylor]: Taking taylor expansion of 1/2 in J 2.956 * [backup-simplify]: Simplify 1/2 into 1/2 2.956 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 2.956 * [taylor]: Taking taylor expansion of J in J 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.956 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.956 * [taylor]: Taking taylor expansion of 1/2 in J 2.956 * [backup-simplify]: Simplify 1/2 into 1/2 2.956 * [taylor]: Taking taylor expansion of K in J 2.956 * [backup-simplify]: Simplify K into K 2.956 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.956 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.956 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.956 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.956 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.957 * [backup-simplify]: Simplify (- 0) into 0 2.957 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.957 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.957 * [taylor]: Taking taylor expansion of 0 in J 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [taylor]: Taking taylor expansion of 0 in K 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 2.957 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 2.957 * [taylor]: Taking taylor expansion of 1/2 in K 2.957 * [backup-simplify]: Simplify 1/2 into 1/2 2.957 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.957 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.957 * [taylor]: Taking taylor expansion of 1/2 in K 2.957 * [backup-simplify]: Simplify 1/2 into 1/2 2.957 * [taylor]: Taking taylor expansion of K in K 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.957 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.957 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.957 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.958 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.959 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.960 * [backup-simplify]: Simplify (- 0) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.962 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.963 * [backup-simplify]: Simplify (+ 0 1) into 1 2.964 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.964 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.964 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.964 * [taylor]: Taking taylor expansion of 1/2 in J 2.964 * [backup-simplify]: Simplify 1/2 into 1/2 2.964 * [taylor]: Taking taylor expansion of K in J 2.964 * [backup-simplify]: Simplify K into K 2.964 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.964 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.964 * [taylor]: Taking taylor expansion of J in J 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.964 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.964 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.965 * [backup-simplify]: Simplify (+ 0) into 0 2.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.966 * [backup-simplify]: Simplify (- 0) into 0 2.966 * [backup-simplify]: Simplify (+ 0 0) into 0 2.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.967 * [taylor]: Taking taylor expansion of 0 in K 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [taylor]: Taking taylor expansion of 0 in K 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (+ 0) into 0 2.968 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.968 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.968 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.969 * [taylor]: Taking taylor expansion of 0 in K 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.971 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.973 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.973 * [backup-simplify]: Simplify (- 0) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.976 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.977 * [taylor]: Taking taylor expansion of 0 in J 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [taylor]: Taking taylor expansion of 0 in K 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.977 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 2.978 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 2.978 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.978 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.978 * [taylor]: Taking taylor expansion of 1 in K 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.978 * [taylor]: Taking taylor expansion of 1/4 in K 2.978 * [backup-simplify]: Simplify 1/4 into 1/4 2.978 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.978 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.978 * [taylor]: Taking taylor expansion of J in K 2.978 * [backup-simplify]: Simplify J into J 2.978 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.978 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.978 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.978 * [taylor]: Taking taylor expansion of -1/2 in K 2.978 * [backup-simplify]: Simplify -1/2 into -1/2 2.978 * [taylor]: Taking taylor expansion of K in K 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.978 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.978 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.978 * [taylor]: Taking taylor expansion of U in K 2.978 * [backup-simplify]: Simplify U into U 2.978 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.978 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.978 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.979 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.979 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.979 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.979 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 2.980 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 2.980 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.980 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.980 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 2.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.981 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.981 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.982 * [taylor]: Taking taylor expansion of 1 in J 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.982 * [taylor]: Taking taylor expansion of 1/4 in J 2.982 * [backup-simplify]: Simplify 1/4 into 1/4 2.982 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.982 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.982 * [taylor]: Taking taylor expansion of J in J 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.982 * [taylor]: Taking taylor expansion of -1/2 in J 2.982 * [backup-simplify]: Simplify -1/2 into -1/2 2.982 * [taylor]: Taking taylor expansion of K in J 2.982 * [backup-simplify]: Simplify K into K 2.982 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.982 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.982 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.982 * [backup-simplify]: Simplify (- 0) into 0 2.982 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.982 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.982 * [taylor]: Taking taylor expansion of U in J 2.982 * [backup-simplify]: Simplify U into U 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.983 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.983 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.983 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.983 * [backup-simplify]: Simplify (+ 1 0) into 1 2.984 * [backup-simplify]: Simplify (sqrt 1) into 1 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.984 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.984 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.984 * [taylor]: Taking taylor expansion of 1 in U 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.984 * [taylor]: Taking taylor expansion of 1/4 in U 2.984 * [backup-simplify]: Simplify 1/4 into 1/4 2.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.984 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.984 * [taylor]: Taking taylor expansion of J in U 2.984 * [backup-simplify]: Simplify J into J 2.984 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.984 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.985 * [taylor]: Taking taylor expansion of -1/2 in U 2.985 * [backup-simplify]: Simplify -1/2 into -1/2 2.985 * [taylor]: Taking taylor expansion of K in U 2.985 * [backup-simplify]: Simplify K into K 2.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.985 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.985 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.985 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.985 * [taylor]: Taking taylor expansion of U in U 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.986 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.986 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.986 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.986 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (+ 0) into 0 2.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.989 * [backup-simplify]: Simplify (- 0) into 0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.989 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.990 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.991 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.991 * [taylor]: Taking taylor expansion of 1 in U 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.991 * [taylor]: Taking taylor expansion of 1/4 in U 2.991 * [backup-simplify]: Simplify 1/4 into 1/4 2.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.991 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.991 * [taylor]: Taking taylor expansion of J in U 2.991 * [backup-simplify]: Simplify J into J 2.991 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.991 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.991 * [taylor]: Taking taylor expansion of -1/2 in U 2.991 * [backup-simplify]: Simplify -1/2 into -1/2 2.991 * [taylor]: Taking taylor expansion of K in U 2.991 * [backup-simplify]: Simplify K into K 2.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.991 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.991 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.991 * [backup-simplify]: Simplify (- 0) into 0 2.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.991 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.991 * [taylor]: Taking taylor expansion of U in U 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.992 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.992 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.992 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.992 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.993 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.993 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.993 * [backup-simplify]: Simplify (+ 0) into 0 2.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.998 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.999 * [taylor]: Taking taylor expansion of 1/2 in J 2.999 * [backup-simplify]: Simplify 1/2 into 1/2 2.999 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.999 * [taylor]: Taking taylor expansion of J in J 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.999 * [taylor]: Taking taylor expansion of -1/2 in J 2.999 * [backup-simplify]: Simplify -1/2 into -1/2 2.999 * [taylor]: Taking taylor expansion of K in J 2.999 * [backup-simplify]: Simplify K into K 2.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.999 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.999 * [backup-simplify]: Simplify (- 0) into 0 3.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.000 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 3.000 * [taylor]: Taking taylor expansion of 0 in J 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [taylor]: Taking taylor expansion of 0 in K 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 3.000 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 3.000 * [taylor]: Taking taylor expansion of 1/2 in K 3.000 * [backup-simplify]: Simplify 1/2 into 1/2 3.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.000 * [taylor]: Taking taylor expansion of -1/2 in K 3.000 * [backup-simplify]: Simplify -1/2 into -1/2 3.000 * [taylor]: Taking taylor expansion of K in K 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.000 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.000 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 3.001 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.003 * [backup-simplify]: Simplify (- 0) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.004 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 3.006 * [backup-simplify]: Simplify (+ 1 0) into 1 3.006 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 3.006 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.006 * [taylor]: Taking taylor expansion of -1/2 in J 3.006 * [backup-simplify]: Simplify -1/2 into -1/2 3.006 * [taylor]: Taking taylor expansion of K in J 3.006 * [backup-simplify]: Simplify K into K 3.006 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.007 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.007 * [taylor]: Taking taylor expansion of J in J 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.007 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.007 * [backup-simplify]: Simplify (- 0) into 0 3.007 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.007 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.007 * [backup-simplify]: Simplify (+ 0) into 0 3.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.009 * [taylor]: Taking taylor expansion of 0 in K 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [taylor]: Taking taylor expansion of 0 in K 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ 0) into 0 3.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.011 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 3.012 * [taylor]: Taking taylor expansion of 0 in K 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.016 * [backup-simplify]: Simplify (- 0) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.018 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.020 * [taylor]: Taking taylor expansion of 0 in J 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [taylor]: Taking taylor expansion of 0 in K 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 3.021 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.021 * [backup-simplify]: Simplify (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 3.021 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 3.021 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 3.021 * [taylor]: Taking taylor expansion of -2 in U 3.021 * [backup-simplify]: Simplify -2 into -2 3.021 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 3.022 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.022 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.022 * [taylor]: Taking taylor expansion of 1/2 in U 3.022 * [backup-simplify]: Simplify 1/2 into 1/2 3.022 * [taylor]: Taking taylor expansion of K in U 3.022 * [backup-simplify]: Simplify K into K 3.022 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.022 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.022 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.022 * [taylor]: Taking taylor expansion of J in U 3.022 * [backup-simplify]: Simplify J into J 3.022 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 3.022 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 3.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 3.022 * [taylor]: Taking taylor expansion of 1/4 in U 3.022 * [backup-simplify]: Simplify 1/4 into 1/4 3.022 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 3.022 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.022 * [taylor]: Taking taylor expansion of U in U 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 3.022 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 3.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.022 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.022 * [taylor]: Taking taylor expansion of 1/2 in U 3.022 * [backup-simplify]: Simplify 1/2 into 1/2 3.022 * [taylor]: Taking taylor expansion of K in U 3.022 * [backup-simplify]: Simplify K into K 3.022 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.023 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.023 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.023 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.023 * [backup-simplify]: Simplify (- 0) into 0 3.023 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.023 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.023 * [taylor]: Taking taylor expansion of J in U 3.023 * [backup-simplify]: Simplify J into J 3.024 * [backup-simplify]: Simplify (* 1 1) into 1 3.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.024 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.024 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 3.024 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.024 * [taylor]: Taking taylor expansion of 1 in U 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (+ 0 1) into 1 3.025 * [backup-simplify]: Simplify (sqrt 1) into 1 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.026 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 3.026 * [taylor]: Taking taylor expansion of -2 in K 3.026 * [backup-simplify]: Simplify -2 into -2 3.026 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 3.026 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.026 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.027 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.027 * [taylor]: Taking taylor expansion of 1/2 in K 3.027 * [backup-simplify]: Simplify 1/2 into 1/2 3.027 * [taylor]: Taking taylor expansion of K in K 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.028 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.028 * [taylor]: Taking taylor expansion of J in K 3.028 * [backup-simplify]: Simplify J into J 3.028 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 3.028 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 3.028 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 3.028 * [taylor]: Taking taylor expansion of 1/4 in K 3.028 * [backup-simplify]: Simplify 1/4 into 1/4 3.028 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 3.028 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.028 * [taylor]: Taking taylor expansion of U in K 3.028 * [backup-simplify]: Simplify U into U 3.028 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 3.028 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.028 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.028 * [taylor]: Taking taylor expansion of 1/2 in K 3.028 * [backup-simplify]: Simplify 1/2 into 1/2 3.028 * [taylor]: Taking taylor expansion of K in K 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.029 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.029 * [taylor]: Taking taylor expansion of J in K 3.029 * [backup-simplify]: Simplify J into J 3.029 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.030 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 3.030 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 3.030 * [taylor]: Taking taylor expansion of 1 in K 3.030 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.031 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.031 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.031 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.031 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.032 * [backup-simplify]: Simplify (+ 0) into 0 3.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 3.033 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 3.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.035 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 3.035 * [taylor]: Taking taylor expansion of -2 in J 3.035 * [backup-simplify]: Simplify -2 into -2 3.035 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 3.035 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.035 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.035 * [taylor]: Taking taylor expansion of 1/2 in J 3.035 * [backup-simplify]: Simplify 1/2 into 1/2 3.035 * [taylor]: Taking taylor expansion of K in J 3.035 * [backup-simplify]: Simplify K into K 3.035 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.035 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.035 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.035 * [taylor]: Taking taylor expansion of J in J 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.035 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.035 * [taylor]: Taking taylor expansion of 1/4 in J 3.035 * [backup-simplify]: Simplify 1/4 into 1/4 3.035 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.035 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.035 * [taylor]: Taking taylor expansion of U in J 3.035 * [backup-simplify]: Simplify U into U 3.035 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.035 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.035 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.036 * [taylor]: Taking taylor expansion of 1/2 in J 3.036 * [backup-simplify]: Simplify 1/2 into 1/2 3.036 * [taylor]: Taking taylor expansion of K in J 3.036 * [backup-simplify]: Simplify K into K 3.036 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.036 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.036 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.036 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.036 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.036 * [backup-simplify]: Simplify (- 0) into 0 3.036 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.036 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.036 * [taylor]: Taking taylor expansion of J in J 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.037 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.037 * [backup-simplify]: Simplify (* 1 1) into 1 3.037 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.037 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.038 * [taylor]: Taking taylor expansion of 1 in J 3.038 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.038 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.038 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.039 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.040 * [backup-simplify]: Simplify (+ 0) into 0 3.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.042 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.042 * [backup-simplify]: Simplify (- 0) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.043 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.045 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.045 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 3.045 * [taylor]: Taking taylor expansion of -2 in J 3.045 * [backup-simplify]: Simplify -2 into -2 3.045 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 3.045 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.046 * [taylor]: Taking taylor expansion of 1/2 in J 3.046 * [backup-simplify]: Simplify 1/2 into 1/2 3.046 * [taylor]: Taking taylor expansion of K in J 3.046 * [backup-simplify]: Simplify K into K 3.046 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.046 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.046 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.046 * [taylor]: Taking taylor expansion of J in J 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 3.046 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 3.046 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 3.046 * [taylor]: Taking taylor expansion of 1/4 in J 3.046 * [backup-simplify]: Simplify 1/4 into 1/4 3.046 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.046 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.046 * [taylor]: Taking taylor expansion of U in J 3.046 * [backup-simplify]: Simplify U into U 3.046 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.046 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.046 * [taylor]: Taking taylor expansion of 1/2 in J 3.046 * [backup-simplify]: Simplify 1/2 into 1/2 3.046 * [taylor]: Taking taylor expansion of K in J 3.046 * [backup-simplify]: Simplify K into K 3.046 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.047 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.047 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.047 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.047 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.047 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.047 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.047 * [taylor]: Taking taylor expansion of J in J 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.048 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.048 * [backup-simplify]: Simplify (* 1 1) into 1 3.048 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.048 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 3.048 * [taylor]: Taking taylor expansion of 1 in J 3.048 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.049 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.049 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.049 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.050 * [backup-simplify]: Simplify (+ 0) into 0 3.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.052 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.054 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.054 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.056 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.056 * [backup-simplify]: Simplify (- 0) into 0 3.056 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.057 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.057 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 3.057 * [backup-simplify]: Simplify (* -2 0) into 0 3.057 * [taylor]: Taking taylor expansion of 0 in K 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [taylor]: Taking taylor expansion of 0 in U 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (+ 0) into 0 3.058 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.060 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.060 * [backup-simplify]: Simplify (- 0) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.061 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 3.062 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 3.062 * [taylor]: Taking taylor expansion of (- U) in K 3.062 * [taylor]: Taking taylor expansion of U in K 3.062 * [backup-simplify]: Simplify U into U 3.062 * [backup-simplify]: Simplify (- U) into (- U) 3.062 * [taylor]: Taking taylor expansion of (- U) in U 3.062 * [taylor]: Taking taylor expansion of U in U 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (- 0) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [taylor]: Taking taylor expansion of 0 in U 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.066 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.066 * [backup-simplify]: Simplify (- 0) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.066 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.067 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.067 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 3.068 * [backup-simplify]: Simplify (+ 0 1) into 1 3.069 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 3.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.070 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.071 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.071 * [backup-simplify]: Simplify (- 0) into 0 3.072 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 3.073 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 3.073 * [taylor]: Taking taylor expansion of 0 in K 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [taylor]: Taking taylor expansion of 0 in U 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (- 0) into 0 3.073 * [taylor]: Taking taylor expansion of 0 in U 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 3.074 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 3.074 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 3.074 * [taylor]: Taking taylor expansion of -2 in U 3.074 * [backup-simplify]: Simplify -2 into -2 3.074 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 3.074 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 3.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 3.074 * [taylor]: Taking taylor expansion of 1/4 in U 3.074 * [backup-simplify]: Simplify 1/4 into 1/4 3.074 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 3.074 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.074 * [taylor]: Taking taylor expansion of J in U 3.074 * [backup-simplify]: Simplify J into J 3.074 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 3.074 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.074 * [taylor]: Taking taylor expansion of U in U 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 3.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.074 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.074 * [taylor]: Taking taylor expansion of 1/2 in U 3.074 * [backup-simplify]: Simplify 1/2 into 1/2 3.074 * [taylor]: Taking taylor expansion of K in U 3.074 * [backup-simplify]: Simplify K into K 3.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.074 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.074 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.074 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.074 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.075 * [backup-simplify]: Simplify (- 0) into 0 3.075 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.075 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.075 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 3.075 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 3.075 * [taylor]: Taking taylor expansion of 1 in U 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.076 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.076 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.076 * [backup-simplify]: Simplify (+ 0) into 0 3.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.077 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.078 * [backup-simplify]: Simplify (- 0) into 0 3.078 * [backup-simplify]: Simplify (+ 0 0) into 0 3.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 3.080 * [backup-simplify]: Simplify (+ 0 0) into 0 3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.080 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 3.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.080 * [taylor]: Taking taylor expansion of 1/2 in U 3.080 * [backup-simplify]: Simplify 1/2 into 1/2 3.080 * [taylor]: Taking taylor expansion of K in U 3.080 * [backup-simplify]: Simplify K into K 3.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.080 * [taylor]: Taking taylor expansion of J in U 3.080 * [backup-simplify]: Simplify J into J 3.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.080 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.081 * [backup-simplify]: Simplify (- 0) into 0 3.081 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.081 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.081 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 3.081 * [taylor]: Taking taylor expansion of -2 in K 3.081 * [backup-simplify]: Simplify -2 into -2 3.081 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 3.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 3.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 3.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 3.081 * [taylor]: Taking taylor expansion of 1/4 in K 3.081 * [backup-simplify]: Simplify 1/4 into 1/4 3.081 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 3.081 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.081 * [taylor]: Taking taylor expansion of J in K 3.081 * [backup-simplify]: Simplify J into J 3.081 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 3.081 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.081 * [taylor]: Taking taylor expansion of U in K 3.081 * [backup-simplify]: Simplify U into U 3.081 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.081 * [taylor]: Taking taylor expansion of 1/2 in K 3.081 * [backup-simplify]: Simplify 1/2 into 1/2 3.081 * [taylor]: Taking taylor expansion of K in K 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.081 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.082 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.082 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.082 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.082 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.082 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.082 * [taylor]: Taking taylor expansion of 1 in K 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.083 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3.083 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.083 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.083 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.084 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.085 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.085 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.085 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.085 * [taylor]: Taking taylor expansion of 1/2 in K 3.085 * [backup-simplify]: Simplify 1/2 into 1/2 3.085 * [taylor]: Taking taylor expansion of K in K 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.085 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.085 * [taylor]: Taking taylor expansion of J in K 3.085 * [backup-simplify]: Simplify J into J 3.085 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.085 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 3.085 * [taylor]: Taking taylor expansion of -2 in J 3.085 * [backup-simplify]: Simplify -2 into -2 3.085 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 3.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.085 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.085 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.085 * [taylor]: Taking taylor expansion of 1/4 in J 3.086 * [backup-simplify]: Simplify 1/4 into 1/4 3.086 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.086 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.086 * [taylor]: Taking taylor expansion of J in J 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.086 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.086 * [taylor]: Taking taylor expansion of U in J 3.086 * [backup-simplify]: Simplify U into U 3.086 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.086 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.086 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.086 * [taylor]: Taking taylor expansion of 1/2 in J 3.086 * [backup-simplify]: Simplify 1/2 into 1/2 3.086 * [taylor]: Taking taylor expansion of K in J 3.086 * [backup-simplify]: Simplify K into K 3.086 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.086 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.086 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.086 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.086 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.087 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.087 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.087 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.087 * [taylor]: Taking taylor expansion of 1 in J 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (+ 0 1) into 1 3.088 * [backup-simplify]: Simplify (sqrt 1) into 1 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.088 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.088 * [taylor]: Taking taylor expansion of 1/2 in J 3.088 * [backup-simplify]: Simplify 1/2 into 1/2 3.088 * [taylor]: Taking taylor expansion of K in J 3.088 * [backup-simplify]: Simplify K into K 3.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.088 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.089 * [taylor]: Taking taylor expansion of J in J 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.089 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.089 * [backup-simplify]: Simplify (- 0) into 0 3.089 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.089 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.089 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 3.089 * [taylor]: Taking taylor expansion of -2 in J 3.089 * [backup-simplify]: Simplify -2 into -2 3.089 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 3.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 3.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 3.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 3.089 * [taylor]: Taking taylor expansion of 1/4 in J 3.089 * [backup-simplify]: Simplify 1/4 into 1/4 3.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 3.089 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.089 * [taylor]: Taking taylor expansion of J in J 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 3.089 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.089 * [taylor]: Taking taylor expansion of U in J 3.089 * [backup-simplify]: Simplify U into U 3.089 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.089 * [taylor]: Taking taylor expansion of 1/2 in J 3.089 * [backup-simplify]: Simplify 1/2 into 1/2 3.089 * [taylor]: Taking taylor expansion of K in J 3.089 * [backup-simplify]: Simplify K into K 3.089 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.090 * [backup-simplify]: Simplify (- 0) into 0 3.090 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.090 * [backup-simplify]: Simplify (* 1 1) into 1 3.090 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.090 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 3.091 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.091 * [taylor]: Taking taylor expansion of 1 in J 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (+ 0 1) into 1 3.091 * [backup-simplify]: Simplify (sqrt 1) into 1 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.092 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.092 * [taylor]: Taking taylor expansion of 1/2 in J 3.092 * [backup-simplify]: Simplify 1/2 into 1/2 3.092 * [taylor]: Taking taylor expansion of K in J 3.092 * [backup-simplify]: Simplify K into K 3.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.092 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.092 * [taylor]: Taking taylor expansion of J in J 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.093 * [backup-simplify]: Simplify (- 0) into 0 3.093 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.093 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.093 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.093 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.093 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.093 * [taylor]: Taking taylor expansion of -2 in K 3.093 * [backup-simplify]: Simplify -2 into -2 3.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.093 * [taylor]: Taking taylor expansion of 1/2 in K 3.093 * [backup-simplify]: Simplify 1/2 into 1/2 3.093 * [taylor]: Taking taylor expansion of K in K 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.093 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.093 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.093 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 3.093 * [taylor]: Taking taylor expansion of -2 in U 3.093 * [backup-simplify]: Simplify -2 into -2 3.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.093 * [taylor]: Taking taylor expansion of 1/2 in U 3.094 * [backup-simplify]: Simplify 1/2 into 1/2 3.094 * [taylor]: Taking taylor expansion of K in U 3.094 * [backup-simplify]: Simplify K into K 3.094 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.094 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.094 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.094 * [backup-simplify]: Simplify (+ 0) into 0 3.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.095 * [backup-simplify]: Simplify (- 0) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.097 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.097 * [taylor]: Taking taylor expansion of 0 in K 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [taylor]: Taking taylor expansion of 0 in U 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.097 * [taylor]: Taking taylor expansion of 0 in U 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.097 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.098 * [backup-simplify]: Simplify (- 0) into 0 3.098 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.098 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.098 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.100 * [backup-simplify]: Simplify (- 0) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.102 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.103 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 3.104 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.104 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 3.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 3.104 * [taylor]: Taking taylor expansion of 1/4 in K 3.104 * [backup-simplify]: Simplify 1/4 into 1/4 3.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 3.104 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 3.104 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.104 * [taylor]: Taking taylor expansion of U in K 3.104 * [backup-simplify]: Simplify U into U 3.104 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.104 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.104 * [taylor]: Taking taylor expansion of 1/2 in K 3.104 * [backup-simplify]: Simplify 1/2 into 1/2 3.104 * [taylor]: Taking taylor expansion of K in K 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.104 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.105 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 3.105 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 3.105 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 3.105 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 3.105 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 3.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 3.105 * [taylor]: Taking taylor expansion of 1/4 in U 3.105 * [backup-simplify]: Simplify 1/4 into 1/4 3.105 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 3.105 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 3.105 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.105 * [taylor]: Taking taylor expansion of U in U 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.105 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.105 * [taylor]: Taking taylor expansion of 1/2 in U 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [taylor]: Taking taylor expansion of K in U 3.105 * [backup-simplify]: Simplify K into K 3.105 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.105 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.105 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.106 * [backup-simplify]: Simplify (* 1 1) into 1 3.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.106 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.106 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.106 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 3.106 * [backup-simplify]: Simplify (+ 0) into 0 3.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.109 * [backup-simplify]: Simplify (- 0) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 3.111 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [taylor]: Taking taylor expansion of 0 in U 3.111 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in U 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ 0) into 0 3.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.114 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.118 * [backup-simplify]: Simplify (- 0) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.121 * [backup-simplify]: Simplify (+ 0) into 0 3.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.122 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.124 * [backup-simplify]: Simplify (- 0) into 0 3.124 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.125 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.125 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.129 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.129 * [taylor]: Taking taylor expansion of 0 in K 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [taylor]: Taking taylor expansion of 0 in U 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.130 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 3.131 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 3.131 * [backup-simplify]: Simplify (- 0) into 0 3.131 * [taylor]: Taking taylor expansion of 0 in U 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [taylor]: Taking taylor expansion of 0 in U 3.131 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.132 * [taylor]: Taking taylor expansion of 0 in U 3.132 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.137 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 3.137 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 3.137 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 3.137 * [taylor]: Taking taylor expansion of 2 in U 3.137 * [backup-simplify]: Simplify 2 into 2 3.137 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 3.137 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 3.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.137 * [taylor]: Taking taylor expansion of -1/2 in U 3.137 * [backup-simplify]: Simplify -1/2 into -1/2 3.137 * [taylor]: Taking taylor expansion of K in U 3.137 * [backup-simplify]: Simplify K into K 3.137 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.138 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.138 * [taylor]: Taking taylor expansion of J in U 3.138 * [backup-simplify]: Simplify J into J 3.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.138 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.138 * [backup-simplify]: Simplify (- 0) into 0 3.138 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.138 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.138 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 3.138 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 3.138 * [taylor]: Taking taylor expansion of 1 in U 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 3.138 * [taylor]: Taking taylor expansion of 1/4 in U 3.138 * [backup-simplify]: Simplify 1/4 into 1/4 3.138 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 3.138 * [taylor]: Taking taylor expansion of (pow J 2) in U 3.138 * [taylor]: Taking taylor expansion of J in U 3.138 * [backup-simplify]: Simplify J into J 3.138 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 3.138 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 3.138 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.138 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.138 * [taylor]: Taking taylor expansion of -1/2 in U 3.138 * [backup-simplify]: Simplify -1/2 into -1/2 3.138 * [taylor]: Taking taylor expansion of K in U 3.138 * [backup-simplify]: Simplify K into K 3.138 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.139 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.139 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.139 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.139 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.139 * [taylor]: Taking taylor expansion of U in U 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.139 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.140 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 3.140 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.140 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.140 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.140 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.141 * [backup-simplify]: Simplify (+ 0) into 0 3.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 3.143 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.144 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 3.144 * [taylor]: Taking taylor expansion of 2 in K 3.144 * [backup-simplify]: Simplify 2 into 2 3.144 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 3.144 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.145 * [taylor]: Taking taylor expansion of -1/2 in K 3.145 * [backup-simplify]: Simplify -1/2 into -1/2 3.145 * [taylor]: Taking taylor expansion of K in K 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.145 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.145 * [taylor]: Taking taylor expansion of J in K 3.145 * [backup-simplify]: Simplify J into J 3.145 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.145 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 3.145 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 3.145 * [taylor]: Taking taylor expansion of 1 in K 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 3.145 * [taylor]: Taking taylor expansion of 1/4 in K 3.145 * [backup-simplify]: Simplify 1/4 into 1/4 3.145 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 3.145 * [taylor]: Taking taylor expansion of (pow J 2) in K 3.145 * [taylor]: Taking taylor expansion of J in K 3.145 * [backup-simplify]: Simplify J into J 3.145 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 3.145 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.145 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.145 * [taylor]: Taking taylor expansion of -1/2 in K 3.145 * [backup-simplify]: Simplify -1/2 into -1/2 3.145 * [taylor]: Taking taylor expansion of K in K 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.146 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.146 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.146 * [taylor]: Taking taylor expansion of U in K 3.146 * [backup-simplify]: Simplify U into U 3.146 * [backup-simplify]: Simplify (* J J) into (pow J 2) 3.146 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.146 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.146 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.146 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.146 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.147 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 3.147 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 3.147 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 3.147 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.147 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.148 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 3.148 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.149 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 3.149 * [taylor]: Taking taylor expansion of 2 in J 3.149 * [backup-simplify]: Simplify 2 into 2 3.149 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 3.149 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.149 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.149 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.149 * [taylor]: Taking taylor expansion of -1/2 in J 3.149 * [backup-simplify]: Simplify -1/2 into -1/2 3.149 * [taylor]: Taking taylor expansion of K in J 3.149 * [backup-simplify]: Simplify K into K 3.149 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.149 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.149 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.149 * [taylor]: Taking taylor expansion of J in J 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.150 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.150 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.150 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.150 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.150 * [taylor]: Taking taylor expansion of 1 in J 3.150 * [backup-simplify]: Simplify 1 into 1 3.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.150 * [taylor]: Taking taylor expansion of 1/4 in J 3.150 * [backup-simplify]: Simplify 1/4 into 1/4 3.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.150 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.150 * [taylor]: Taking taylor expansion of J in J 3.150 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify 1 into 1 3.150 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.150 * [taylor]: Taking taylor expansion of -1/2 in J 3.150 * [backup-simplify]: Simplify -1/2 into -1/2 3.150 * [taylor]: Taking taylor expansion of K in J 3.150 * [backup-simplify]: Simplify K into K 3.150 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.150 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.151 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.151 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.151 * [taylor]: Taking taylor expansion of U in J 3.151 * [backup-simplify]: Simplify U into U 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.151 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.151 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.152 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.152 * [backup-simplify]: Simplify (+ 1 0) into 1 3.152 * [backup-simplify]: Simplify (sqrt 1) into 1 3.152 * [backup-simplify]: Simplify (+ 0 0) into 0 3.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.153 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 3.153 * [taylor]: Taking taylor expansion of 2 in J 3.153 * [backup-simplify]: Simplify 2 into 2 3.153 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 3.153 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.153 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.153 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.153 * [taylor]: Taking taylor expansion of -1/2 in J 3.153 * [backup-simplify]: Simplify -1/2 into -1/2 3.153 * [taylor]: Taking taylor expansion of K in J 3.153 * [backup-simplify]: Simplify K into K 3.153 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.153 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.153 * [taylor]: Taking taylor expansion of J in J 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.153 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.153 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.154 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.154 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 3.154 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 3.154 * [taylor]: Taking taylor expansion of 1 in J 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 3.154 * [taylor]: Taking taylor expansion of 1/4 in J 3.154 * [backup-simplify]: Simplify 1/4 into 1/4 3.154 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 3.154 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.154 * [taylor]: Taking taylor expansion of J in J 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 3.154 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.154 * [taylor]: Taking taylor expansion of -1/2 in J 3.154 * [backup-simplify]: Simplify -1/2 into -1/2 3.154 * [taylor]: Taking taylor expansion of K in J 3.154 * [backup-simplify]: Simplify K into K 3.154 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.154 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.154 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.154 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.154 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.155 * [taylor]: Taking taylor expansion of (pow U 2) in J 3.155 * [taylor]: Taking taylor expansion of U in J 3.155 * [backup-simplify]: Simplify U into U 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.155 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.155 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.155 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 3.155 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (sqrt 1) into 1 3.156 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.157 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.157 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.157 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.157 * [taylor]: Taking taylor expansion of 2 in K 3.157 * [backup-simplify]: Simplify 2 into 2 3.157 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.157 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.157 * [taylor]: Taking taylor expansion of -1/2 in K 3.157 * [backup-simplify]: Simplify -1/2 into -1/2 3.157 * [taylor]: Taking taylor expansion of K in K 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.157 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.157 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.157 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 3.157 * [taylor]: Taking taylor expansion of 2 in U 3.157 * [backup-simplify]: Simplify 2 into 2 3.157 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.157 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.157 * [taylor]: Taking taylor expansion of -1/2 in U 3.157 * [backup-simplify]: Simplify -1/2 into -1/2 3.157 * [taylor]: Taking taylor expansion of K in U 3.157 * [backup-simplify]: Simplify K into K 3.157 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.157 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.157 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.158 * [backup-simplify]: Simplify (+ 0) into 0 3.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.161 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.161 * [taylor]: Taking taylor expansion of 0 in K 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [taylor]: Taking taylor expansion of 0 in U 3.161 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.162 * [taylor]: Taking taylor expansion of 0 in U 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.162 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.162 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.162 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.162 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.163 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.163 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 3.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.165 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.166 * [backup-simplify]: Simplify (- 0) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 3.168 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 3.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 3.168 * [taylor]: Taking taylor expansion of 1/4 in K 3.168 * [backup-simplify]: Simplify 1/4 into 1/4 3.168 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 3.168 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 3.168 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.168 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.168 * [taylor]: Taking taylor expansion of -1/2 in K 3.168 * [backup-simplify]: Simplify -1/2 into -1/2 3.168 * [taylor]: Taking taylor expansion of K in K 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.168 * [taylor]: Taking taylor expansion of (pow U 2) in K 3.169 * [taylor]: Taking taylor expansion of U in K 3.169 * [backup-simplify]: Simplify U into U 3.169 * [backup-simplify]: Simplify (* U U) into (pow U 2) 3.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 3.169 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 3.169 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 3.169 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 3.169 * [taylor]: Taking taylor expansion of 1/4 in U 3.169 * [backup-simplify]: Simplify 1/4 into 1/4 3.169 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 3.169 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.169 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.169 * [taylor]: Taking taylor expansion of -1/2 in U 3.169 * [backup-simplify]: Simplify -1/2 into -1/2 3.169 * [taylor]: Taking taylor expansion of K in U 3.169 * [backup-simplify]: Simplify K into K 3.169 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.169 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.169 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.169 * [taylor]: Taking taylor expansion of (pow U 2) in U 3.169 * [taylor]: Taking taylor expansion of U in U 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.169 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.170 * [backup-simplify]: Simplify (- 0) into 0 3.170 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.170 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.170 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 3.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.171 * [backup-simplify]: Simplify (+ 0) into 0 3.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.172 * [backup-simplify]: Simplify (- 0) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [taylor]: Taking taylor expansion of 0 in U 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.174 * [taylor]: Taking taylor expansion of 0 in U 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (+ 0) into 0 3.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.177 * [backup-simplify]: Simplify (+ 0) into 0 3.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.179 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 3.179 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 3.180 * [backup-simplify]: Simplify (+ 0 0) into 0 3.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 3.181 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.183 * [backup-simplify]: Simplify (- 0) into 0 3.184 * [backup-simplify]: Simplify (+ 0 0) into 0 3.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.187 * [taylor]: Taking taylor expansion of 0 in K 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [taylor]: Taking taylor expansion of 0 in U 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 3.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 3.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 3.189 * [taylor]: Taking taylor expansion of 0 in U 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [taylor]: Taking taylor expansion of 0 in U 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.190 * [taylor]: Taking taylor expansion of 0 in U 3.190 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.194 * [backup-simplify]: Simplify (- 0) into 0 3.195 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.196 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.196 * [backup-simplify]: Simplify (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) into (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) 3.196 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in (U J K) around 0 3.197 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in K 3.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 3.197 * [taylor]: Taking taylor expansion of 1/2 in K 3.197 * [backup-simplify]: Simplify 1/2 into 1/2 3.197 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 3.197 * [taylor]: Taking taylor expansion of U in K 3.197 * [backup-simplify]: Simplify U into U 3.197 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.197 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.197 * [taylor]: Taking taylor expansion of 1/2 in K 3.197 * [backup-simplify]: Simplify 1/2 into 1/2 3.197 * [taylor]: Taking taylor expansion of K in K 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 1 into 1 3.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.198 * [taylor]: Taking taylor expansion of J in K 3.198 * [backup-simplify]: Simplify J into J 3.198 * [backup-simplify]: Simplify (* 1 J) into J 3.198 * [backup-simplify]: Simplify (/ U J) into (/ U J) 3.198 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 3.198 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in J 3.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 3.198 * [taylor]: Taking taylor expansion of 1/2 in J 3.198 * [backup-simplify]: Simplify 1/2 into 1/2 3.198 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 3.198 * [taylor]: Taking taylor expansion of U in J 3.198 * [backup-simplify]: Simplify U into U 3.198 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.199 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.199 * [taylor]: Taking taylor expansion of 1/2 in J 3.199 * [backup-simplify]: Simplify 1/2 into 1/2 3.199 * [taylor]: Taking taylor expansion of K in J 3.199 * [backup-simplify]: Simplify K into K 3.199 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.199 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.199 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.199 * [taylor]: Taking taylor expansion of J in J 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.199 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.199 * [backup-simplify]: Simplify (- 0) into 0 3.200 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.200 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.200 * [backup-simplify]: Simplify (+ 0) into 0 3.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.202 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.202 * [backup-simplify]: Simplify (- 0) into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.203 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.203 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 3.203 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.203 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.204 * [taylor]: Taking taylor expansion of 1/2 in U 3.204 * [backup-simplify]: Simplify 1/2 into 1/2 3.204 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.204 * [taylor]: Taking taylor expansion of U in U 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.204 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.204 * [taylor]: Taking taylor expansion of 1/2 in U 3.204 * [backup-simplify]: Simplify 1/2 into 1/2 3.204 * [taylor]: Taking taylor expansion of K in U 3.204 * [backup-simplify]: Simplify K into K 3.204 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.204 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.204 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.204 * [taylor]: Taking taylor expansion of J in U 3.204 * [backup-simplify]: Simplify J into J 3.204 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.204 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.205 * [backup-simplify]: Simplify (- 0) into 0 3.205 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.205 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.205 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.205 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.205 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U 3.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.205 * [taylor]: Taking taylor expansion of 1/2 in U 3.205 * [backup-simplify]: Simplify 1/2 into 1/2 3.205 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.205 * [taylor]: Taking taylor expansion of U in U 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.205 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.205 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.205 * [taylor]: Taking taylor expansion of 1/2 in U 3.205 * [backup-simplify]: Simplify 1/2 into 1/2 3.205 * [taylor]: Taking taylor expansion of K in U 3.205 * [backup-simplify]: Simplify K into K 3.205 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.206 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.206 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.206 * [taylor]: Taking taylor expansion of J in U 3.206 * [backup-simplify]: Simplify J into J 3.206 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.206 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.206 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.206 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.206 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.207 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.207 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.207 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 3.207 * [taylor]: Taking taylor expansion of 1/4 in J 3.207 * [backup-simplify]: Simplify 1/4 into 1/4 3.207 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 3.207 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 3.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.207 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.207 * [taylor]: Taking taylor expansion of 1/2 in J 3.207 * [backup-simplify]: Simplify 1/2 into 1/2 3.207 * [taylor]: Taking taylor expansion of K in J 3.207 * [backup-simplify]: Simplify K into K 3.207 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.207 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.207 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.207 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.208 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.208 * [backup-simplify]: Simplify (- 0) into 0 3.208 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.208 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.208 * [taylor]: Taking taylor expansion of J in J 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 3.209 * [backup-simplify]: Simplify (* 1 1) into 1 3.209 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 3.209 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 3.209 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 3.209 * [taylor]: Taking taylor expansion of 1/4 in K 3.209 * [backup-simplify]: Simplify 1/4 into 1/4 3.209 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 3.209 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.209 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.209 * [taylor]: Taking taylor expansion of 1/2 in K 3.209 * [backup-simplify]: Simplify 1/2 into 1/2 3.209 * [taylor]: Taking taylor expansion of K in K 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.211 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.211 * [backup-simplify]: Simplify 1/4 into 1/4 3.211 * [backup-simplify]: Simplify (+ 0) into 0 3.212 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.213 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.213 * [backup-simplify]: Simplify (- 0) into 0 3.213 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.213 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 3.214 * [taylor]: Taking taylor expansion of 0 in J 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.215 * [backup-simplify]: Simplify (+ 0) into 0 3.215 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.216 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.216 * [backup-simplify]: Simplify (- 0) into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 3.217 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.217 * [taylor]: Taking taylor expansion of 0 in K 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (+ 0) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.225 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.225 * [backup-simplify]: Simplify (- 0) into 0 3.226 * [backup-simplify]: Simplify (+ 0 0) into 0 3.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 3.227 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 3.228 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0 3.228 * [taylor]: Taking taylor expansion of 0 in J 3.228 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.234 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.234 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 3.235 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.236 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.236 * [taylor]: Taking taylor expansion of 0 in K 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 3.237 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 3.238 * [backup-simplify]: Simplify 1/16 into 1/16 3.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.239 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.243 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.243 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 3.247 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 3.247 * [taylor]: Taking taylor expansion of 0 in J 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [taylor]: Taking taylor expansion of 0 in K 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.250 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.251 * [backup-simplify]: Simplify (- 0) into 0 3.251 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 3.252 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 3.253 * [taylor]: Taking taylor expansion of 0 in K 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 3.259 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.260 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.260 * [backup-simplify]: Simplify (- 0) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 3.261 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))))) into 0 3.263 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 3.263 * [taylor]: Taking taylor expansion of 0 in J 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [taylor]: Taking taylor expansion of 0 in K 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 3.264 * [backup-simplify]: Simplify (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) 3.264 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in (U J K) around 0 3.264 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in K 3.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 3.264 * [taylor]: Taking taylor expansion of 1/2 in K 3.264 * [backup-simplify]: Simplify 1/2 into 1/2 3.264 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 3.264 * [taylor]: Taking taylor expansion of J in K 3.264 * [backup-simplify]: Simplify J into J 3.264 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.264 * [taylor]: Taking taylor expansion of U in K 3.264 * [backup-simplify]: Simplify U into U 3.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.264 * [taylor]: Taking taylor expansion of 1/2 in K 3.264 * [backup-simplify]: Simplify 1/2 into 1/2 3.264 * [taylor]: Taking taylor expansion of K in K 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.265 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.265 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.265 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 3.265 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 3.265 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in J 3.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 3.265 * [taylor]: Taking taylor expansion of 1/2 in J 3.265 * [backup-simplify]: Simplify 1/2 into 1/2 3.265 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 3.265 * [taylor]: Taking taylor expansion of J in J 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 3.265 * [taylor]: Taking taylor expansion of U in J 3.265 * [backup-simplify]: Simplify U into U 3.265 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.265 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.265 * [taylor]: Taking taylor expansion of 1/2 in J 3.265 * [backup-simplify]: Simplify 1/2 into 1/2 3.265 * [taylor]: Taking taylor expansion of K in J 3.265 * [backup-simplify]: Simplify K into K 3.265 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.265 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.265 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.265 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.265 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.266 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.266 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.266 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.266 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 3.266 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.266 * [taylor]: Taking taylor expansion of 1/2 in U 3.266 * [backup-simplify]: Simplify 1/2 into 1/2 3.266 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.266 * [taylor]: Taking taylor expansion of J in U 3.266 * [backup-simplify]: Simplify J into J 3.266 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.266 * [taylor]: Taking taylor expansion of U in U 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.266 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.266 * [taylor]: Taking taylor expansion of 1/2 in U 3.266 * [backup-simplify]: Simplify 1/2 into 1/2 3.266 * [taylor]: Taking taylor expansion of K in U 3.266 * [backup-simplify]: Simplify K into K 3.266 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.266 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.266 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.266 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.266 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.267 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.267 * [backup-simplify]: Simplify (+ 0) into 0 3.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.267 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.268 * [backup-simplify]: Simplify (- 0) into 0 3.269 * [backup-simplify]: Simplify (+ 0 0) into 0 3.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.269 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.269 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.269 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U 3.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.269 * [taylor]: Taking taylor expansion of 1/2 in U 3.269 * [backup-simplify]: Simplify 1/2 into 1/2 3.269 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.269 * [taylor]: Taking taylor expansion of J in U 3.269 * [backup-simplify]: Simplify J into J 3.269 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.269 * [taylor]: Taking taylor expansion of U in U 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.269 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.269 * [taylor]: Taking taylor expansion of 1/2 in U 3.269 * [backup-simplify]: Simplify 1/2 into 1/2 3.269 * [taylor]: Taking taylor expansion of K in U 3.269 * [backup-simplify]: Simplify K into K 3.269 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.269 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.269 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.269 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.270 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.270 * [backup-simplify]: Simplify (- 0) into 0 3.270 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.270 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.270 * [backup-simplify]: Simplify (+ 0) into 0 3.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.272 * [backup-simplify]: Simplify (- 0) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.273 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.273 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.274 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.274 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 3.274 * [taylor]: Taking taylor expansion of 1/4 in J 3.274 * [backup-simplify]: Simplify 1/4 into 1/4 3.274 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 3.274 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.274 * [taylor]: Taking taylor expansion of J in J 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.274 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.274 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.274 * [taylor]: Taking taylor expansion of 1/2 in J 3.274 * [backup-simplify]: Simplify 1/2 into 1/2 3.274 * [taylor]: Taking taylor expansion of K in J 3.274 * [backup-simplify]: Simplify K into K 3.274 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.274 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.274 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.274 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.274 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.275 * [backup-simplify]: Simplify (* 1 1) into 1 3.275 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.276 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 3.276 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.276 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 3.276 * [taylor]: Taking taylor expansion of 1/4 in K 3.276 * [backup-simplify]: Simplify 1/4 into 1/4 3.276 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 3.276 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.276 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.276 * [taylor]: Taking taylor expansion of 1/2 in K 3.276 * [backup-simplify]: Simplify 1/2 into 1/2 3.276 * [taylor]: Taking taylor expansion of K in K 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.277 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.277 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.277 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.277 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 3.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.281 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.282 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.283 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.283 * [taylor]: Taking taylor expansion of 0 in J 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [taylor]: Taking taylor expansion of 0 in K 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.284 * [backup-simplify]: Simplify (+ 0) into 0 3.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.287 * [backup-simplify]: Simplify (- 0) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.288 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 3.289 * [taylor]: Taking taylor expansion of 0 in K 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.289 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.295 * [backup-simplify]: Simplify (- 0) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.297 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 3.299 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 3.299 * [taylor]: Taking taylor expansion of 0 in J 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [taylor]: Taking taylor expansion of 0 in K 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [taylor]: Taking taylor expansion of 0 in K 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.302 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 3.307 * [taylor]: Taking taylor expansion of 0 in K 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.308 * [backup-simplify]: Simplify (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) 3.308 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in (U J K) around 0 3.308 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in K 3.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 3.308 * [taylor]: Taking taylor expansion of 1/2 in K 3.308 * [backup-simplify]: Simplify 1/2 into 1/2 3.308 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 3.308 * [taylor]: Taking taylor expansion of J in K 3.308 * [backup-simplify]: Simplify J into J 3.308 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.308 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.308 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.308 * [taylor]: Taking taylor expansion of -1/2 in K 3.308 * [backup-simplify]: Simplify -1/2 into -1/2 3.308 * [taylor]: Taking taylor expansion of K in K 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.309 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.309 * [taylor]: Taking taylor expansion of U in K 3.309 * [backup-simplify]: Simplify U into U 3.309 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.309 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 3.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 3.309 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in J 3.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 3.309 * [taylor]: Taking taylor expansion of 1/2 in J 3.310 * [backup-simplify]: Simplify 1/2 into 1/2 3.310 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 3.310 * [taylor]: Taking taylor expansion of J in J 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 3.310 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.310 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.310 * [taylor]: Taking taylor expansion of -1/2 in J 3.310 * [backup-simplify]: Simplify -1/2 into -1/2 3.310 * [taylor]: Taking taylor expansion of K in J 3.310 * [backup-simplify]: Simplify K into K 3.310 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.310 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.310 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.310 * [taylor]: Taking taylor expansion of U in J 3.310 * [backup-simplify]: Simplify U into U 3.310 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.310 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.311 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.311 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.311 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 3.311 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 3.311 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.311 * [taylor]: Taking taylor expansion of 1/2 in U 3.311 * [backup-simplify]: Simplify 1/2 into 1/2 3.311 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.311 * [taylor]: Taking taylor expansion of J in U 3.311 * [backup-simplify]: Simplify J into J 3.311 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.311 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.312 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.312 * [taylor]: Taking taylor expansion of -1/2 in U 3.312 * [backup-simplify]: Simplify -1/2 into -1/2 3.312 * [taylor]: Taking taylor expansion of K in U 3.312 * [backup-simplify]: Simplify K into K 3.312 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.312 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.312 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.312 * [taylor]: Taking taylor expansion of U in U 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.312 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.313 * [backup-simplify]: Simplify (- 0) into 0 3.313 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.313 * [backup-simplify]: Simplify (+ 0) into 0 3.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.317 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.317 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.317 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U 3.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.317 * [taylor]: Taking taylor expansion of 1/2 in U 3.317 * [backup-simplify]: Simplify 1/2 into 1/2 3.317 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.317 * [taylor]: Taking taylor expansion of J in U 3.317 * [backup-simplify]: Simplify J into J 3.317 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.317 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.317 * [taylor]: Taking taylor expansion of -1/2 in U 3.317 * [backup-simplify]: Simplify -1/2 into -1/2 3.317 * [taylor]: Taking taylor expansion of K in U 3.317 * [backup-simplify]: Simplify K into K 3.317 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.317 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.317 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.317 * [taylor]: Taking taylor expansion of U in U 3.317 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.318 * [backup-simplify]: Simplify (- 0) into 0 3.318 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.319 * [backup-simplify]: Simplify (+ 0) into 0 3.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.322 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.322 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.323 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.323 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 3.323 * [taylor]: Taking taylor expansion of 1/4 in J 3.323 * [backup-simplify]: Simplify 1/4 into 1/4 3.323 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 3.323 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.323 * [taylor]: Taking taylor expansion of J in J 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.323 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.323 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.323 * [taylor]: Taking taylor expansion of -1/2 in J 3.323 * [backup-simplify]: Simplify -1/2 into -1/2 3.323 * [taylor]: Taking taylor expansion of K in J 3.323 * [backup-simplify]: Simplify K into K 3.323 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.323 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.323 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.324 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.324 * [backup-simplify]: Simplify (- 0) into 0 3.324 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.325 * [backup-simplify]: Simplify (* 1 1) into 1 3.325 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.325 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 3.325 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.325 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 3.325 * [taylor]: Taking taylor expansion of 1/4 in K 3.325 * [backup-simplify]: Simplify 1/4 into 1/4 3.325 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 3.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.325 * [taylor]: Taking taylor expansion of -1/2 in K 3.325 * [backup-simplify]: Simplify -1/2 into -1/2 3.325 * [taylor]: Taking taylor expansion of K in K 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.326 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.326 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.327 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 3.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.329 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.332 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.333 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.333 * [taylor]: Taking taylor expansion of 0 in J 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in K 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (+ 0) into 0 3.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.336 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.338 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 3.339 * [taylor]: Taking taylor expansion of 0 in K 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.342 * [backup-simplify]: Simplify (- 0) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.343 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 3.344 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 3.344 * [taylor]: Taking taylor expansion of 0 in J 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [taylor]: Taking taylor expansion of 0 in K 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [taylor]: Taking taylor expansion of 0 in K 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.348 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.349 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.349 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.349 * [backup-simplify]: Simplify (- 0) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.350 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 3.351 * [taylor]: Taking taylor expansion of 0 in K 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.352 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.352 * [backup-simplify]: Simplify (* (* -2 J) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) J)) 3.352 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (J K) around 0 3.352 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 3.352 * [taylor]: Taking taylor expansion of -2 in K 3.352 * [backup-simplify]: Simplify -2 into -2 3.352 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.352 * [taylor]: Taking taylor expansion of 1/2 in K 3.352 * [backup-simplify]: Simplify 1/2 into 1/2 3.352 * [taylor]: Taking taylor expansion of K in K 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.353 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.353 * [taylor]: Taking taylor expansion of J in K 3.353 * [backup-simplify]: Simplify J into J 3.353 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.353 * [taylor]: Taking taylor expansion of -2 in J 3.353 * [backup-simplify]: Simplify -2 into -2 3.353 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.353 * [taylor]: Taking taylor expansion of 1/2 in J 3.353 * [backup-simplify]: Simplify 1/2 into 1/2 3.353 * [taylor]: Taking taylor expansion of K in J 3.353 * [backup-simplify]: Simplify K into K 3.353 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.353 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.353 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.353 * [taylor]: Taking taylor expansion of J in J 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.353 * [taylor]: Taking taylor expansion of -2 in J 3.353 * [backup-simplify]: Simplify -2 into -2 3.353 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.353 * [taylor]: Taking taylor expansion of 1/2 in J 3.353 * [backup-simplify]: Simplify 1/2 into 1/2 3.353 * [taylor]: Taking taylor expansion of K in J 3.353 * [backup-simplify]: Simplify K into K 3.353 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.353 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.353 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.353 * [taylor]: Taking taylor expansion of J in J 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.353 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.354 * [backup-simplify]: Simplify (- 0) into 0 3.354 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.354 * [backup-simplify]: Simplify (* -2 0) into 0 3.354 * [taylor]: Taking taylor expansion of 0 in K 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify (+ 0) into 0 3.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.356 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.356 * [backup-simplify]: Simplify (- 0) into 0 3.356 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.357 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 3.357 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 3.357 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 3.357 * [taylor]: Taking taylor expansion of 2 in K 3.357 * [backup-simplify]: Simplify 2 into 2 3.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.357 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.357 * [taylor]: Taking taylor expansion of 1/2 in K 3.357 * [backup-simplify]: Simplify 1/2 into 1/2 3.357 * [taylor]: Taking taylor expansion of K in K 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.358 * [backup-simplify]: Simplify (* 2 1) into 2 3.358 * [backup-simplify]: Simplify (- 2) into -2 3.358 * [backup-simplify]: Simplify -2 into -2 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.361 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.362 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 3.362 * [taylor]: Taking taylor expansion of 0 in K 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (+ 0) into 0 3.363 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.365 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.367 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.367 * [backup-simplify]: Simplify (- 0) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.368 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 3.369 * [taylor]: Taking taylor expansion of 0 in K 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify (* -2 (* 1 J)) into (* -2 J) 3.369 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* -2 (/ (cos (/ 1/2 K)) J)) 3.369 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 3.369 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 3.369 * [taylor]: Taking taylor expansion of -2 in K 3.369 * [backup-simplify]: Simplify -2 into -2 3.369 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 3.369 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.369 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.369 * [taylor]: Taking taylor expansion of 1/2 in K 3.369 * [backup-simplify]: Simplify 1/2 into 1/2 3.369 * [taylor]: Taking taylor expansion of K in K 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.369 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.369 * [taylor]: Taking taylor expansion of J in K 3.369 * [backup-simplify]: Simplify J into J 3.369 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 3.369 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.369 * [taylor]: Taking taylor expansion of -2 in J 3.369 * [backup-simplify]: Simplify -2 into -2 3.369 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.370 * [taylor]: Taking taylor expansion of 1/2 in J 3.370 * [backup-simplify]: Simplify 1/2 into 1/2 3.370 * [taylor]: Taking taylor expansion of K in J 3.370 * [backup-simplify]: Simplify K into K 3.370 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.370 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.370 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.370 * [taylor]: Taking taylor expansion of J in J 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.370 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.370 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.370 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 3.370 * [taylor]: Taking taylor expansion of -2 in J 3.370 * [backup-simplify]: Simplify -2 into -2 3.370 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 3.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.370 * [taylor]: Taking taylor expansion of 1/2 in J 3.370 * [backup-simplify]: Simplify 1/2 into 1/2 3.370 * [taylor]: Taking taylor expansion of K in J 3.370 * [backup-simplify]: Simplify K into K 3.371 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.371 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.371 * [taylor]: Taking taylor expansion of J in J 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.371 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.371 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.372 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.372 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.372 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 3.372 * [taylor]: Taking taylor expansion of -2 in K 3.372 * [backup-simplify]: Simplify -2 into -2 3.372 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.372 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.372 * [taylor]: Taking taylor expansion of 1/2 in K 3.372 * [backup-simplify]: Simplify 1/2 into 1/2 3.372 * [taylor]: Taking taylor expansion of K in K 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.373 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.373 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.373 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 3.373 * [backup-simplify]: Simplify (+ 0) into 0 3.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.376 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.378 * [taylor]: Taking taylor expansion of 0 in K 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.383 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.386 * [taylor]: Taking taylor expansion of 0 in K 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.391 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.391 * [backup-simplify]: Simplify (- 0) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.395 * [taylor]: Taking taylor expansion of 0 in K 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J)) 3.396 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (/ (cos (/ -1/2 K)) J)) 3.396 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 3.396 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 3.396 * [taylor]: Taking taylor expansion of 2 in K 3.396 * [backup-simplify]: Simplify 2 into 2 3.396 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 3.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.396 * [taylor]: Taking taylor expansion of -1/2 in K 3.396 * [backup-simplify]: Simplify -1/2 into -1/2 3.396 * [taylor]: Taking taylor expansion of K in K 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.397 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.397 * [taylor]: Taking taylor expansion of J in K 3.397 * [backup-simplify]: Simplify J into J 3.397 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 3.397 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.397 * [taylor]: Taking taylor expansion of 2 in J 3.397 * [backup-simplify]: Simplify 2 into 2 3.397 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.397 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.397 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.397 * [taylor]: Taking taylor expansion of -1/2 in J 3.397 * [backup-simplify]: Simplify -1/2 into -1/2 3.397 * [taylor]: Taking taylor expansion of K in J 3.397 * [backup-simplify]: Simplify K into K 3.397 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.398 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.398 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.398 * [taylor]: Taking taylor expansion of J in J 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.398 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.398 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.399 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.399 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 3.399 * [taylor]: Taking taylor expansion of 2 in J 3.399 * [backup-simplify]: Simplify 2 into 2 3.399 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 3.399 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.399 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.399 * [taylor]: Taking taylor expansion of -1/2 in J 3.399 * [backup-simplify]: Simplify -1/2 into -1/2 3.399 * [taylor]: Taking taylor expansion of K in J 3.399 * [backup-simplify]: Simplify K into K 3.399 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.399 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.399 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.399 * [taylor]: Taking taylor expansion of J in J 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.399 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.400 * [backup-simplify]: Simplify (- 0) into 0 3.400 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.400 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.400 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.400 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 3.400 * [taylor]: Taking taylor expansion of 2 in K 3.400 * [backup-simplify]: Simplify 2 into 2 3.400 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.400 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.400 * [taylor]: Taking taylor expansion of -1/2 in K 3.400 * [backup-simplify]: Simplify -1/2 into -1/2 3.400 * [taylor]: Taking taylor expansion of K in K 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.401 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.401 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.401 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 3.401 * [backup-simplify]: Simplify (+ 0) into 0 3.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.404 * [backup-simplify]: Simplify (- 0) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.406 * [taylor]: Taking taylor expansion of 0 in K 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.410 * [backup-simplify]: Simplify (- 0) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.413 * [taylor]: Taking taylor expansion of 0 in K 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 3.422 * [taylor]: Taking taylor expansion of 0 in K 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J)) 3.422 * * * [progress]: simplifying candidates 3.423 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 3.423 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 17 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.424 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 3.424 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 3.425 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 44 / 102 ] simplifiying candidate #real (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.426 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 3.426 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 3.427 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 71 / 102 ] simplifiying candidate #real (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 3.428 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 3.428 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 89 / 102 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 3.429 * * * * [progress]: [ 90 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 3.429 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 3.430 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 3.430 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 3.430 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 3.430 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 3.430 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 3.432 * [simplify]: Simplifying: (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) 1) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) 2) (* (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) 2) (* (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 2) (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) (* 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* (cbrt 2) (cbrt 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 1) (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (/ (* (cbrt U) (cbrt U)) (* 2 J)) 2) (pow (/ (cbrt U) (cos (/ K 2))) 2) (pow (/ (sqrt U) (* 2 J)) 2) (pow (/ (sqrt U) (cos (/ K 2))) 2) (pow (/ 1 (* 2 J)) 2) (pow (/ U (cos (/ K 2))) 2) (pow 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow U 2) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))) (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (* (* -2 J) (cos (/ K 2)))) (exp (* (* -2 J) (cos (/ K 2)))) (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (sqrt (cos (/ K 2)))) (* (* -2 J) 1) (* J (cos (/ K 2))) (real->posit16 (* (* -2 J) (cos (/ K 2)))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* -2 J) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 3.435 * * [simplify]: iteration 0: 179 enodes 3.512 * * [simplify]: iteration 1: 482 enodes 3.715 * * [simplify]: iteration 2: 1535 enodes 4.400 * * [simplify]: iteration complete: 5000 enodes 4.400 * * [simplify]: Extracting #0: cost 70 inf + 0 4.402 * * [simplify]: Extracting #1: cost 784 inf + 4 4.407 * * [simplify]: Extracting #2: cost 1633 inf + 2872 4.414 * * [simplify]: Extracting #3: cost 1668 inf + 19231 4.430 * * [simplify]: Extracting #4: cost 1476 inf + 39489 4.442 * * [simplify]: Extracting #5: cost 1392 inf + 55962 4.470 * * [simplify]: Extracting #6: cost 851 inf + 204836 4.526 * * [simplify]: Extracting #7: cost 505 inf + 333118 4.642 * * [simplify]: Extracting #8: cost 188 inf + 489357 4.766 * * [simplify]: Extracting #9: cost 0 inf + 589891 4.898 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) 1 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) 1 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (sqrt (+ 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) (sqrt (+ (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1/2 (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (log (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (exp (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (cos (/ K 2)) (* (* -8 (* J J)) J)) (* (cos (/ K 2)) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cbrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (cbrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))))) (cbrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (sqrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (sqrt (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (* (* (* J -2) (cos (/ K 2))) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (* (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2)))) (real->posit16 (* (* J -2) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))))) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) 2 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (* (cbrt 2) (cbrt 2))) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt 2)) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (/ (sqrt U) 2) J) (/ (/ (sqrt U) 2) J)) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (* (log (/ (/ U (* 2 J)) (cos (/ K 2)))) 2) (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (exp (* (* J -2) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* (* -8 (* J J)) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) (cbrt (* (* J -2) (cos (/ K 2)))) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J -2) (cbrt (cos (/ K 2))))) (* -2 (* J (sqrt (cos (/ K 2))))) (* J -2) (* J (cos (/ K 2))) (real->posit16 (* (* J -2) (cos (/ K 2)))) 1 (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2) 0 (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (+ (* (* (/ U J) (/ U J)) 1/4) (* 1/16 (* (* (* (/ K J) (/ K J)) U) U))) (* (/ (* (/ U J) (/ U J)) (cos (/ K 2))) (/ 1/4 (cos (/ K 2)))) (* (/ (* (/ U J) (/ U J)) (cos (/ K 2))) (/ 1/4 (cos (/ K 2)))) (* J -2) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) 4.908 * * * [progress]: adding candidates to table 5.454 * * [progress]: iteration 2 / 4 5.454 * * * [progress]: picking best candidate 5.532 * * * * [pick]: Picked # 5.532 * * * [progress]: localizing error 5.592 * * * [progress]: generating rewritten candidates 5.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.677 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.838 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 5.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 5.970 * * * [progress]: generating series expansions 5.970 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.970 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 5.970 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 5.971 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.971 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.971 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.971 * [taylor]: Taking taylor expansion of 1/4 in K 5.971 * [backup-simplify]: Simplify 1/4 into 1/4 5.971 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.971 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.971 * [taylor]: Taking taylor expansion of U in K 5.971 * [backup-simplify]: Simplify U into U 5.971 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.971 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.971 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.971 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.971 * [taylor]: Taking taylor expansion of 1/2 in K 5.971 * [backup-simplify]: Simplify 1/2 into 1/2 5.971 * [taylor]: Taking taylor expansion of K in K 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 1 into 1 5.971 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.972 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.972 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.972 * [taylor]: Taking taylor expansion of J in K 5.972 * [backup-simplify]: Simplify J into J 5.972 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.972 * [backup-simplify]: Simplify (* 1 1) into 1 5.972 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.972 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.972 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.972 * [taylor]: Taking taylor expansion of 1 in K 5.972 * [backup-simplify]: Simplify 1 into 1 5.973 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.973 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.973 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.973 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.973 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.973 * [backup-simplify]: Simplify (+ 0) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.974 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.975 * [backup-simplify]: Simplify (+ 0 0) into 0 5.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.975 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.975 * [taylor]: Taking taylor expansion of 1/4 in J 5.975 * [backup-simplify]: Simplify 1/4 into 1/4 5.975 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.975 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.975 * [taylor]: Taking taylor expansion of U in J 5.975 * [backup-simplify]: Simplify U into U 5.975 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.975 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.975 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.975 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.975 * [taylor]: Taking taylor expansion of 1/2 in J 5.975 * [backup-simplify]: Simplify 1/2 into 1/2 5.976 * [taylor]: Taking taylor expansion of K in J 5.976 * [backup-simplify]: Simplify K into K 5.976 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.976 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.976 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.976 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.976 * [backup-simplify]: Simplify (- 0) into 0 5.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.976 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.976 * [taylor]: Taking taylor expansion of J in J 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.976 * [backup-simplify]: Simplify (* 1 1) into 1 5.977 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.977 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.977 * [taylor]: Taking taylor expansion of 1 in J 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 5.977 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 5.977 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.977 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.978 * [backup-simplify]: Simplify (+ 0) into 0 5.978 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.979 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.980 * [backup-simplify]: Simplify (- 0) into 0 5.980 * [backup-simplify]: Simplify (+ 0 0) into 0 5.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.980 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.981 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.981 * [backup-simplify]: Simplify (+ 0 0) into 0 5.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.982 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.982 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.982 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.982 * [taylor]: Taking taylor expansion of 1/4 in U 5.982 * [backup-simplify]: Simplify 1/4 into 1/4 5.982 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.982 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.982 * [taylor]: Taking taylor expansion of U in U 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 1 into 1 5.982 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.982 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.982 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.982 * [taylor]: Taking taylor expansion of 1/2 in U 5.982 * [backup-simplify]: Simplify 1/2 into 1/2 5.982 * [taylor]: Taking taylor expansion of K in U 5.982 * [backup-simplify]: Simplify K into K 5.982 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.982 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.982 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.982 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.982 * [backup-simplify]: Simplify (- 0) into 0 5.982 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.982 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.982 * [taylor]: Taking taylor expansion of J in U 5.982 * [backup-simplify]: Simplify J into J 5.983 * [backup-simplify]: Simplify (* 1 1) into 1 5.983 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.983 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.983 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.983 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.983 * [taylor]: Taking taylor expansion of 1 in U 5.983 * [backup-simplify]: Simplify 1 into 1 5.983 * [backup-simplify]: Simplify (+ 0 1) into 1 5.984 * [backup-simplify]: Simplify (sqrt 1) into 1 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.984 * [taylor]: Taking taylor expansion of 1/4 in U 5.984 * [backup-simplify]: Simplify 1/4 into 1/4 5.984 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.985 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.985 * [taylor]: Taking taylor expansion of U in U 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.985 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.985 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.985 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.985 * [taylor]: Taking taylor expansion of 1/2 in U 5.985 * [backup-simplify]: Simplify 1/2 into 1/2 5.985 * [taylor]: Taking taylor expansion of K in U 5.985 * [backup-simplify]: Simplify K into K 5.985 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.985 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.985 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.985 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.985 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.985 * [backup-simplify]: Simplify (- 0) into 0 5.985 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.985 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.985 * [taylor]: Taking taylor expansion of J in U 5.985 * [backup-simplify]: Simplify J into J 5.985 * [backup-simplify]: Simplify (* 1 1) into 1 5.986 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.986 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.986 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.986 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.986 * [taylor]: Taking taylor expansion of 1 in U 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (+ 0 1) into 1 5.986 * [backup-simplify]: Simplify (sqrt 1) into 1 5.987 * [backup-simplify]: Simplify (+ 0 0) into 0 5.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.987 * [taylor]: Taking taylor expansion of 1 in J 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of 0 in J 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [taylor]: Taking taylor expansion of 1 in K 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify 1 into 1 5.988 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.988 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.989 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.989 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.989 * [taylor]: Taking taylor expansion of 1/8 in J 5.989 * [backup-simplify]: Simplify 1/8 into 1/8 5.989 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.989 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.989 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.989 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.989 * [taylor]: Taking taylor expansion of 1/2 in J 5.989 * [backup-simplify]: Simplify 1/2 into 1/2 5.989 * [taylor]: Taking taylor expansion of K in J 5.989 * [backup-simplify]: Simplify K into K 5.989 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.989 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.989 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.989 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.989 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.989 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.989 * [taylor]: Taking taylor expansion of J in J 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.990 * [backup-simplify]: Simplify (* 1 1) into 1 5.990 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.990 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.991 * [backup-simplify]: Simplify (+ 0) into 0 5.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.992 * [backup-simplify]: Simplify (- 0) into 0 5.992 * [backup-simplify]: Simplify (+ 0 0) into 0 5.993 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.993 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.993 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.993 * [taylor]: Taking taylor expansion of 0 in K 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [taylor]: Taking taylor expansion of 0 in K 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [taylor]: Taking taylor expansion of 0 in K 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.994 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.994 * [backup-simplify]: Simplify (+ 0) into 0 5.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.996 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.996 * [backup-simplify]: Simplify (- 0) into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 5.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.996 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.997 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 5.997 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.997 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 5.998 * [taylor]: Taking taylor expansion of 0 in J 5.998 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.001 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.002 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.002 * [backup-simplify]: Simplify (- 0) into 0 6.002 * [backup-simplify]: Simplify (+ 0 0) into 0 6.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.004 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.004 * [taylor]: Taking taylor expansion of 0 in K 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [taylor]: Taking taylor expansion of 0 in K 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.005 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 6.005 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.005 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.005 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.005 * [taylor]: Taking taylor expansion of 1/4 in K 6.005 * [backup-simplify]: Simplify 1/4 into 1/4 6.005 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.005 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.005 * [taylor]: Taking taylor expansion of J in K 6.005 * [backup-simplify]: Simplify J into J 6.005 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.005 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.005 * [taylor]: Taking taylor expansion of U in K 6.005 * [backup-simplify]: Simplify U into U 6.005 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.005 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.005 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.006 * [taylor]: Taking taylor expansion of 1/2 in K 6.006 * [backup-simplify]: Simplify 1/2 into 1/2 6.006 * [taylor]: Taking taylor expansion of K in K 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 1 into 1 6.006 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.006 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.006 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.006 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.006 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.007 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.007 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.007 * [taylor]: Taking taylor expansion of 1 in K 6.007 * [backup-simplify]: Simplify 1 into 1 6.007 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.008 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.008 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.008 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.009 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.009 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.011 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.011 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.011 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.011 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.011 * [taylor]: Taking taylor expansion of 1/4 in J 6.011 * [backup-simplify]: Simplify 1/4 into 1/4 6.011 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.011 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.011 * [taylor]: Taking taylor expansion of J in J 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.012 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.012 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.012 * [taylor]: Taking taylor expansion of U in J 6.012 * [backup-simplify]: Simplify U into U 6.012 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.012 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.012 * [taylor]: Taking taylor expansion of 1/2 in J 6.012 * [backup-simplify]: Simplify 1/2 into 1/2 6.012 * [taylor]: Taking taylor expansion of K in J 6.012 * [backup-simplify]: Simplify K into K 6.012 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.012 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.012 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.013 * [backup-simplify]: Simplify (- 0) into 0 6.013 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.013 * [backup-simplify]: Simplify (* 1 1) into 1 6.013 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.013 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.013 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.014 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.014 * [taylor]: Taking taylor expansion of 1 in J 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [backup-simplify]: Simplify (+ 0 1) into 1 6.015 * [backup-simplify]: Simplify (sqrt 1) into 1 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.015 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.015 * [taylor]: Taking taylor expansion of 1/4 in U 6.015 * [backup-simplify]: Simplify 1/4 into 1/4 6.015 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.015 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.015 * [taylor]: Taking taylor expansion of J in U 6.015 * [backup-simplify]: Simplify J into J 6.015 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.016 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.016 * [taylor]: Taking taylor expansion of U in U 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.016 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.016 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.016 * [taylor]: Taking taylor expansion of 1/2 in U 6.016 * [backup-simplify]: Simplify 1/2 into 1/2 6.016 * [taylor]: Taking taylor expansion of K in U 6.016 * [backup-simplify]: Simplify K into K 6.016 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.016 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.016 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.016 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.016 * [backup-simplify]: Simplify (- 0) into 0 6.016 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.016 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.016 * [backup-simplify]: Simplify (* 1 1) into 1 6.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.017 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.017 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.017 * [taylor]: Taking taylor expansion of 1 in U 6.017 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.017 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.017 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.017 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.018 * [backup-simplify]: Simplify (+ 0) into 0 6.018 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.019 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.019 * [backup-simplify]: Simplify (- 0) into 0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.021 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.022 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.022 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.022 * [taylor]: Taking taylor expansion of 1/4 in U 6.022 * [backup-simplify]: Simplify 1/4 into 1/4 6.022 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.022 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.022 * [taylor]: Taking taylor expansion of J in U 6.022 * [backup-simplify]: Simplify J into J 6.022 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.022 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.022 * [taylor]: Taking taylor expansion of U in U 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.022 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.022 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.022 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.022 * [taylor]: Taking taylor expansion of 1/2 in U 6.022 * [backup-simplify]: Simplify 1/2 into 1/2 6.022 * [taylor]: Taking taylor expansion of K in U 6.022 * [backup-simplify]: Simplify K into K 6.022 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.022 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.022 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.022 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.023 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.023 * [backup-simplify]: Simplify (* 1 1) into 1 6.023 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.023 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.023 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.023 * [taylor]: Taking taylor expansion of 1 in U 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.024 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.024 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.024 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.024 * [backup-simplify]: Simplify (+ 0) into 0 6.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.026 * [backup-simplify]: Simplify (- 0) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.027 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.028 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.028 * [taylor]: Taking taylor expansion of 1/2 in J 6.028 * [backup-simplify]: Simplify 1/2 into 1/2 6.028 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.028 * [taylor]: Taking taylor expansion of J in J 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.028 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.028 * [taylor]: Taking taylor expansion of 1/2 in J 6.028 * [backup-simplify]: Simplify 1/2 into 1/2 6.028 * [taylor]: Taking taylor expansion of K in J 6.028 * [backup-simplify]: Simplify K into K 6.028 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.028 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.028 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.028 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.028 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.029 * [backup-simplify]: Simplify (- 0) into 0 6.029 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.029 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.029 * [taylor]: Taking taylor expansion of 0 in J 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [taylor]: Taking taylor expansion of 0 in K 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.029 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.029 * [taylor]: Taking taylor expansion of 1/2 in K 6.029 * [backup-simplify]: Simplify 1/2 into 1/2 6.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.029 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.029 * [taylor]: Taking taylor expansion of 1/2 in K 6.029 * [backup-simplify]: Simplify 1/2 into 1/2 6.029 * [taylor]: Taking taylor expansion of K in K 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.030 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.030 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.030 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.030 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.032 * [backup-simplify]: Simplify (- 0) into 0 6.032 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.035 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.036 * [backup-simplify]: Simplify (+ 0 1) into 1 6.037 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.037 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.037 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.037 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.037 * [taylor]: Taking taylor expansion of 1/2 in J 6.037 * [backup-simplify]: Simplify 1/2 into 1/2 6.037 * [taylor]: Taking taylor expansion of K in J 6.037 * [backup-simplify]: Simplify K into K 6.037 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.037 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.037 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.037 * [taylor]: Taking taylor expansion of J in J 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.038 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.038 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.038 * [backup-simplify]: Simplify (+ 0) into 0 6.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.040 * [backup-simplify]: Simplify (- 0) into 0 6.040 * [backup-simplify]: Simplify (+ 0 0) into 0 6.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.041 * [taylor]: Taking taylor expansion of 0 in K 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [taylor]: Taking taylor expansion of 0 in K 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify (+ 0) into 0 6.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.042 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.042 * [backup-simplify]: Simplify (- 0) into 0 6.043 * [backup-simplify]: Simplify (+ 0 0) into 0 6.043 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.043 * [taylor]: Taking taylor expansion of 0 in K 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.043 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.044 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.047 * [backup-simplify]: Simplify (- 0) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.050 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.051 * [backup-simplify]: Simplify (+ 0 0) into 0 6.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.051 * [taylor]: Taking taylor expansion of 0 in J 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [taylor]: Taking taylor expansion of 0 in K 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.052 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.052 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 6.052 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.052 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.052 * [taylor]: Taking taylor expansion of 1 in K 6.052 * [backup-simplify]: Simplify 1 into 1 6.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.052 * [taylor]: Taking taylor expansion of 1/4 in K 6.052 * [backup-simplify]: Simplify 1/4 into 1/4 6.052 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.052 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.052 * [taylor]: Taking taylor expansion of J in K 6.052 * [backup-simplify]: Simplify J into J 6.052 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.052 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.052 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.052 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.052 * [taylor]: Taking taylor expansion of -1/2 in K 6.052 * [backup-simplify]: Simplify -1/2 into -1/2 6.052 * [taylor]: Taking taylor expansion of K in K 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.052 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.052 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.052 * [taylor]: Taking taylor expansion of U in K 6.052 * [backup-simplify]: Simplify U into U 6.052 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.053 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.053 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.053 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.053 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.053 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.053 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.054 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.054 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.054 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.054 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.055 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.055 * [backup-simplify]: Simplify (+ 0 0) into 0 6.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.056 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.056 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.056 * [taylor]: Taking taylor expansion of 1 in J 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.056 * [taylor]: Taking taylor expansion of 1/4 in J 6.056 * [backup-simplify]: Simplify 1/4 into 1/4 6.056 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.056 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.056 * [taylor]: Taking taylor expansion of J in J 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.056 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.056 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.056 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.056 * [taylor]: Taking taylor expansion of -1/2 in J 6.056 * [backup-simplify]: Simplify -1/2 into -1/2 6.056 * [taylor]: Taking taylor expansion of K in J 6.056 * [backup-simplify]: Simplify K into K 6.056 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.056 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.056 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.056 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.056 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.056 * [backup-simplify]: Simplify (- 0) into 0 6.057 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.057 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.057 * [taylor]: Taking taylor expansion of U in J 6.057 * [backup-simplify]: Simplify U into U 6.057 * [backup-simplify]: Simplify (* 1 1) into 1 6.057 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.057 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.057 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.057 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.058 * [backup-simplify]: Simplify (+ 1 0) into 1 6.063 * [backup-simplify]: Simplify (sqrt 1) into 1 6.064 * [backup-simplify]: Simplify (+ 0 0) into 0 6.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.064 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.064 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.064 * [taylor]: Taking taylor expansion of 1 in U 6.065 * [backup-simplify]: Simplify 1 into 1 6.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.065 * [taylor]: Taking taylor expansion of 1/4 in U 6.065 * [backup-simplify]: Simplify 1/4 into 1/4 6.065 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.065 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.065 * [taylor]: Taking taylor expansion of J in U 6.065 * [backup-simplify]: Simplify J into J 6.065 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.065 * [taylor]: Taking taylor expansion of -1/2 in U 6.065 * [backup-simplify]: Simplify -1/2 into -1/2 6.065 * [taylor]: Taking taylor expansion of K in U 6.065 * [backup-simplify]: Simplify K into K 6.065 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.065 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.065 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.065 * [backup-simplify]: Simplify (- 0) into 0 6.065 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.065 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.066 * [taylor]: Taking taylor expansion of U in U 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.066 * [backup-simplify]: Simplify (* 1 1) into 1 6.066 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.066 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.066 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.067 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.067 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.067 * [backup-simplify]: Simplify (+ 0) into 0 6.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.069 * [backup-simplify]: Simplify (- 0) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.070 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.070 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.071 * [backup-simplify]: Simplify (+ 0 0) into 0 6.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.071 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.071 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.071 * [taylor]: Taking taylor expansion of 1 in U 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.071 * [taylor]: Taking taylor expansion of 1/4 in U 6.071 * [backup-simplify]: Simplify 1/4 into 1/4 6.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.071 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.071 * [taylor]: Taking taylor expansion of J in U 6.071 * [backup-simplify]: Simplify J into J 6.071 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.071 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.071 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.071 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.071 * [taylor]: Taking taylor expansion of -1/2 in U 6.071 * [backup-simplify]: Simplify -1/2 into -1/2 6.071 * [taylor]: Taking taylor expansion of K in U 6.071 * [backup-simplify]: Simplify K into K 6.071 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.071 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.071 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.072 * [backup-simplify]: Simplify (- 0) into 0 6.072 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.072 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.072 * [taylor]: Taking taylor expansion of U in U 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.072 * [backup-simplify]: Simplify (* 1 1) into 1 6.072 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.072 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.073 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.073 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.073 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.073 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.074 * [backup-simplify]: Simplify (+ 0) into 0 6.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.076 * [backup-simplify]: Simplify (- 0) into 0 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.077 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.077 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.078 * [backup-simplify]: Simplify (+ 0 0) into 0 6.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.079 * [taylor]: Taking taylor expansion of 1/2 in J 6.079 * [backup-simplify]: Simplify 1/2 into 1/2 6.079 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.079 * [taylor]: Taking taylor expansion of J in J 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.079 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.079 * [taylor]: Taking taylor expansion of -1/2 in J 6.079 * [backup-simplify]: Simplify -1/2 into -1/2 6.079 * [taylor]: Taking taylor expansion of K in J 6.079 * [backup-simplify]: Simplify K into K 6.079 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.079 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.079 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.079 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.079 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.080 * [backup-simplify]: Simplify (- 0) into 0 6.080 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.080 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.080 * [taylor]: Taking taylor expansion of 0 in J 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [taylor]: Taking taylor expansion of 0 in K 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.080 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.080 * [taylor]: Taking taylor expansion of 1/2 in K 6.080 * [backup-simplify]: Simplify 1/2 into 1/2 6.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.080 * [taylor]: Taking taylor expansion of -1/2 in K 6.080 * [backup-simplify]: Simplify -1/2 into -1/2 6.080 * [taylor]: Taking taylor expansion of K in K 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.081 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.081 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.081 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.081 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.084 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.084 * [backup-simplify]: Simplify (- 0) into 0 6.084 * [backup-simplify]: Simplify (+ 0 0) into 0 6.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.085 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.087 * [backup-simplify]: Simplify (+ 1 0) into 1 6.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.087 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.087 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.087 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.087 * [taylor]: Taking taylor expansion of -1/2 in J 6.087 * [backup-simplify]: Simplify -1/2 into -1/2 6.087 * [taylor]: Taking taylor expansion of K in J 6.087 * [backup-simplify]: Simplify K into K 6.087 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.087 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.087 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.087 * [taylor]: Taking taylor expansion of J in J 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.087 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.088 * [backup-simplify]: Simplify (- 0) into 0 6.088 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.088 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.088 * [backup-simplify]: Simplify (+ 0) into 0 6.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.088 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.090 * [taylor]: Taking taylor expansion of 0 in K 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in K 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (+ 0) into 0 6.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.092 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.092 * [backup-simplify]: Simplify (- 0) into 0 6.092 * [backup-simplify]: Simplify (+ 0 0) into 0 6.092 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.093 * [taylor]: Taking taylor expansion of 0 in K 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.097 * [backup-simplify]: Simplify (- 0) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.098 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.098 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.101 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.101 * [taylor]: Taking taylor expansion of 0 in J 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [taylor]: Taking taylor expansion of 0 in K 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.101 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.102 * [backup-simplify]: Simplify (* (* -2 J) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 6.102 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J U K) around 0 6.102 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.102 * [taylor]: Taking taylor expansion of -2 in K 6.102 * [backup-simplify]: Simplify -2 into -2 6.102 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.102 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.102 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.102 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.102 * [taylor]: Taking taylor expansion of 1/2 in K 6.102 * [backup-simplify]: Simplify 1/2 into 1/2 6.102 * [taylor]: Taking taylor expansion of K in K 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.103 * [taylor]: Taking taylor expansion of J in K 6.103 * [backup-simplify]: Simplify J into J 6.103 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.103 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.104 * [taylor]: Taking taylor expansion of 1/4 in K 6.104 * [backup-simplify]: Simplify 1/4 into 1/4 6.104 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.104 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.104 * [taylor]: Taking taylor expansion of U in K 6.104 * [backup-simplify]: Simplify U into U 6.104 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.104 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.104 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.104 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.104 * [taylor]: Taking taylor expansion of 1/2 in K 6.104 * [backup-simplify]: Simplify 1/2 into 1/2 6.104 * [taylor]: Taking taylor expansion of K in K 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.105 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.105 * [taylor]: Taking taylor expansion of J in K 6.105 * [backup-simplify]: Simplify J into J 6.105 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.106 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.106 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.106 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.106 * [taylor]: Taking taylor expansion of 1 in K 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.106 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.107 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.107 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.107 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.107 * [backup-simplify]: Simplify (+ 0) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.109 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.110 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.110 * [taylor]: Taking taylor expansion of -2 in U 6.110 * [backup-simplify]: Simplify -2 into -2 6.110 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.110 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.110 * [taylor]: Taking taylor expansion of 1/2 in U 6.110 * [backup-simplify]: Simplify 1/2 into 1/2 6.110 * [taylor]: Taking taylor expansion of K in U 6.110 * [backup-simplify]: Simplify K into K 6.110 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.110 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.110 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.111 * [taylor]: Taking taylor expansion of J in U 6.111 * [backup-simplify]: Simplify J into J 6.111 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.111 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.111 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.111 * [taylor]: Taking taylor expansion of 1/4 in U 6.111 * [backup-simplify]: Simplify 1/4 into 1/4 6.111 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.111 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.111 * [taylor]: Taking taylor expansion of U in U 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 1 into 1 6.111 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.111 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.111 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.111 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.111 * [taylor]: Taking taylor expansion of 1/2 in U 6.111 * [backup-simplify]: Simplify 1/2 into 1/2 6.111 * [taylor]: Taking taylor expansion of K in U 6.111 * [backup-simplify]: Simplify K into K 6.111 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.111 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.111 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.111 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.112 * [backup-simplify]: Simplify (- 0) into 0 6.112 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.112 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.112 * [taylor]: Taking taylor expansion of J in U 6.112 * [backup-simplify]: Simplify J into J 6.112 * [backup-simplify]: Simplify (* 1 1) into 1 6.112 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.112 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.113 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.113 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.113 * [taylor]: Taking taylor expansion of 1 in U 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (+ 0 1) into 1 6.114 * [backup-simplify]: Simplify (sqrt 1) into 1 6.114 * [backup-simplify]: Simplify (+ 0 0) into 0 6.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.115 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.115 * [taylor]: Taking taylor expansion of -2 in J 6.115 * [backup-simplify]: Simplify -2 into -2 6.115 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.115 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.115 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.115 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.115 * [taylor]: Taking taylor expansion of 1/2 in J 6.115 * [backup-simplify]: Simplify 1/2 into 1/2 6.115 * [taylor]: Taking taylor expansion of K in J 6.115 * [backup-simplify]: Simplify K into K 6.115 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.115 * [taylor]: Taking taylor expansion of J in J 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.115 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.115 * [taylor]: Taking taylor expansion of 1/4 in J 6.115 * [backup-simplify]: Simplify 1/4 into 1/4 6.115 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.115 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.115 * [taylor]: Taking taylor expansion of U in J 6.115 * [backup-simplify]: Simplify U into U 6.115 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.116 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.116 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.116 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.116 * [taylor]: Taking taylor expansion of 1/2 in J 6.116 * [backup-simplify]: Simplify 1/2 into 1/2 6.116 * [taylor]: Taking taylor expansion of K in J 6.116 * [backup-simplify]: Simplify K into K 6.116 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.116 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.116 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.116 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.116 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.116 * [backup-simplify]: Simplify (- 0) into 0 6.116 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.116 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.116 * [taylor]: Taking taylor expansion of J in J 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.117 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.117 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.117 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.118 * [taylor]: Taking taylor expansion of 1 in J 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.118 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.118 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.118 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.119 * [backup-simplify]: Simplify (+ 0) into 0 6.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.121 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.122 * [backup-simplify]: Simplify (- 0) into 0 6.122 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.123 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.124 * [backup-simplify]: Simplify (+ 0 0) into 0 6.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.125 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.125 * [taylor]: Taking taylor expansion of -2 in J 6.125 * [backup-simplify]: Simplify -2 into -2 6.125 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.125 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.125 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.125 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.125 * [taylor]: Taking taylor expansion of 1/2 in J 6.125 * [backup-simplify]: Simplify 1/2 into 1/2 6.125 * [taylor]: Taking taylor expansion of K in J 6.125 * [backup-simplify]: Simplify K into K 6.125 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.125 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.125 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.125 * [taylor]: Taking taylor expansion of J in J 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.125 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.125 * [taylor]: Taking taylor expansion of 1/4 in J 6.125 * [backup-simplify]: Simplify 1/4 into 1/4 6.125 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.125 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.125 * [taylor]: Taking taylor expansion of U in J 6.125 * [backup-simplify]: Simplify U into U 6.125 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.125 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.125 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.125 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.125 * [taylor]: Taking taylor expansion of 1/2 in J 6.125 * [backup-simplify]: Simplify 1/2 into 1/2 6.125 * [taylor]: Taking taylor expansion of K in J 6.126 * [backup-simplify]: Simplify K into K 6.126 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.126 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.126 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.126 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.126 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.126 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.126 * [taylor]: Taking taylor expansion of J in J 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.127 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.127 * [backup-simplify]: Simplify (* 1 1) into 1 6.127 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.127 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.127 * [taylor]: Taking taylor expansion of 1 in J 6.127 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.128 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.128 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.128 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.129 * [backup-simplify]: Simplify (+ 0) into 0 6.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.131 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.132 * [backup-simplify]: Simplify (- 0) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.132 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.134 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.134 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.135 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.135 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 6.135 * [backup-simplify]: Simplify (* -2 0) into 0 6.136 * [taylor]: Taking taylor expansion of 0 in U 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [taylor]: Taking taylor expansion of 0 in K 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (+ 0) into 0 6.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.138 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.138 * [backup-simplify]: Simplify (- 0) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.140 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 6.140 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 6.140 * [taylor]: Taking taylor expansion of (- U) in U 6.140 * [taylor]: Taking taylor expansion of U in U 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify 1 into 1 6.140 * [backup-simplify]: Simplify (- 0) into 0 6.140 * [taylor]: Taking taylor expansion of 0 in K 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.141 * [taylor]: Taking taylor expansion of 0 in K 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.145 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.146 * [backup-simplify]: Simplify (- 0) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.147 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.148 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 6.149 * [backup-simplify]: Simplify (+ 0 1) into 1 6.150 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 6.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.152 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.153 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.154 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.154 * [backup-simplify]: Simplify (- 0) into 0 6.155 * [backup-simplify]: Simplify (+ 0 0) into 0 6.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.156 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 6.156 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 6.156 * [taylor]: Taking taylor expansion of 0 in U 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [taylor]: Taking taylor expansion of 0 in K 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify (- 1) into -1 6.157 * [taylor]: Taking taylor expansion of -1 in K 6.157 * [backup-simplify]: Simplify -1 into -1 6.157 * [backup-simplify]: Simplify -1 into -1 6.157 * [taylor]: Taking taylor expansion of 0 in K 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 6.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.160 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.160 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.163 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.164 * [backup-simplify]: Simplify (- 0) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.166 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.168 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 6.169 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.174 * [backup-simplify]: Simplify (+ 0 0) into 0 6.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (/ (pow (cos (* 1/2 K)) 2) U) 6.176 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) 6.176 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U 6.176 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U 6.176 * [taylor]: Taking taylor expansion of 2 in U 6.176 * [backup-simplify]: Simplify 2 into 2 6.176 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U 6.176 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.177 * [taylor]: Taking taylor expansion of 1/2 in U 6.177 * [backup-simplify]: Simplify 1/2 into 1/2 6.177 * [taylor]: Taking taylor expansion of K in U 6.177 * [backup-simplify]: Simplify K into K 6.177 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.177 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.177 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.177 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.177 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.177 * [backup-simplify]: Simplify (- 0) into 0 6.177 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.177 * [taylor]: Taking taylor expansion of U in U 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.178 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.178 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.178 * [backup-simplify]: Simplify (+ 0) into 0 6.179 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.180 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.180 * [backup-simplify]: Simplify (- 0) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.181 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0 6.183 * [backup-simplify]: Simplify (- 0) into 0 6.183 * [taylor]: Taking taylor expansion of 0 in K 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [taylor]: Taking taylor expansion of 0 in K 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U) 6.184 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (* (sqrt (+ (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1)) (cos (/ (/ 1 K) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 6.184 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J U K) around 0 6.184 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 6.184 * [taylor]: Taking taylor expansion of -2 in K 6.184 * [backup-simplify]: Simplify -2 into -2 6.184 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 6.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.184 * [taylor]: Taking taylor expansion of 1/4 in K 6.184 * [backup-simplify]: Simplify 1/4 into 1/4 6.184 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.184 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.184 * [taylor]: Taking taylor expansion of J in K 6.184 * [backup-simplify]: Simplify J into J 6.184 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.184 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.184 * [taylor]: Taking taylor expansion of U in K 6.184 * [backup-simplify]: Simplify U into U 6.184 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.184 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.184 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.184 * [taylor]: Taking taylor expansion of 1/2 in K 6.184 * [backup-simplify]: Simplify 1/2 into 1/2 6.184 * [taylor]: Taking taylor expansion of K in K 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 1 into 1 6.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.185 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.185 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.185 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.185 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.185 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.186 * [taylor]: Taking taylor expansion of 1 in K 6.186 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.186 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.187 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.187 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.187 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.187 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.194 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.194 * [taylor]: Taking taylor expansion of 1/2 in K 6.194 * [backup-simplify]: Simplify 1/2 into 1/2 6.194 * [taylor]: Taking taylor expansion of K in K 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.194 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.194 * [taylor]: Taking taylor expansion of J in K 6.194 * [backup-simplify]: Simplify J into J 6.195 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.195 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 6.195 * [taylor]: Taking taylor expansion of -2 in U 6.195 * [backup-simplify]: Simplify -2 into -2 6.195 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 6.195 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.195 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.195 * [taylor]: Taking taylor expansion of 1/4 in U 6.195 * [backup-simplify]: Simplify 1/4 into 1/4 6.195 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.195 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.195 * [taylor]: Taking taylor expansion of J in U 6.195 * [backup-simplify]: Simplify J into J 6.195 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.195 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.195 * [taylor]: Taking taylor expansion of U in U 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.195 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.195 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.195 * [taylor]: Taking taylor expansion of 1/2 in U 6.195 * [backup-simplify]: Simplify 1/2 into 1/2 6.195 * [taylor]: Taking taylor expansion of K in U 6.195 * [backup-simplify]: Simplify K into K 6.195 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.195 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.195 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.195 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.196 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.196 * [backup-simplify]: Simplify (- 0) into 0 6.196 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.196 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.196 * [backup-simplify]: Simplify (* 1 1) into 1 6.197 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.197 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.197 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.197 * [taylor]: Taking taylor expansion of 1 in U 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.198 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.198 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.198 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.198 * [backup-simplify]: Simplify (+ 0) into 0 6.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.200 * [backup-simplify]: Simplify (- 0) into 0 6.201 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.202 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.203 * [backup-simplify]: Simplify (+ 0 0) into 0 6.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.204 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 6.204 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.204 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.204 * [taylor]: Taking taylor expansion of 1/2 in U 6.204 * [backup-simplify]: Simplify 1/2 into 1/2 6.204 * [taylor]: Taking taylor expansion of K in U 6.204 * [backup-simplify]: Simplify K into K 6.204 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.204 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.204 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.204 * [taylor]: Taking taylor expansion of J in U 6.204 * [backup-simplify]: Simplify J into J 6.204 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.204 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.205 * [backup-simplify]: Simplify (- 0) into 0 6.205 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.205 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.205 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.205 * [taylor]: Taking taylor expansion of -2 in J 6.205 * [backup-simplify]: Simplify -2 into -2 6.205 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.205 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.205 * [taylor]: Taking taylor expansion of 1/4 in J 6.205 * [backup-simplify]: Simplify 1/4 into 1/4 6.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.205 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.205 * [taylor]: Taking taylor expansion of J in J 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.205 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.205 * [taylor]: Taking taylor expansion of U in J 6.205 * [backup-simplify]: Simplify U into U 6.205 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.205 * [taylor]: Taking taylor expansion of 1/2 in J 6.205 * [backup-simplify]: Simplify 1/2 into 1/2 6.205 * [taylor]: Taking taylor expansion of K in J 6.205 * [backup-simplify]: Simplify K into K 6.206 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.206 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.206 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.206 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.206 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.206 * [backup-simplify]: Simplify (- 0) into 0 6.206 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.207 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.207 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.207 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.207 * [taylor]: Taking taylor expansion of 1 in J 6.207 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify (+ 0 1) into 1 6.208 * [backup-simplify]: Simplify (sqrt 1) into 1 6.208 * [backup-simplify]: Simplify (+ 0 0) into 0 6.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.209 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.209 * [taylor]: Taking taylor expansion of 1/2 in J 6.209 * [backup-simplify]: Simplify 1/2 into 1/2 6.209 * [taylor]: Taking taylor expansion of K in J 6.209 * [backup-simplify]: Simplify K into K 6.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.210 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.210 * [taylor]: Taking taylor expansion of J in J 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.210 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.210 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.210 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.211 * [taylor]: Taking taylor expansion of -2 in J 6.211 * [backup-simplify]: Simplify -2 into -2 6.211 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.211 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.211 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.211 * [taylor]: Taking taylor expansion of 1/4 in J 6.211 * [backup-simplify]: Simplify 1/4 into 1/4 6.211 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.211 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.211 * [taylor]: Taking taylor expansion of J in J 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.211 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.211 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.211 * [taylor]: Taking taylor expansion of U in J 6.211 * [backup-simplify]: Simplify U into U 6.211 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.211 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.211 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.211 * [taylor]: Taking taylor expansion of 1/2 in J 6.211 * [backup-simplify]: Simplify 1/2 into 1/2 6.211 * [taylor]: Taking taylor expansion of K in J 6.211 * [backup-simplify]: Simplify K into K 6.211 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.211 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.211 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.211 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.212 * [backup-simplify]: Simplify (- 0) into 0 6.212 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.212 * [backup-simplify]: Simplify (* 1 1) into 1 6.212 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.212 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.213 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.213 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.213 * [taylor]: Taking taylor expansion of 1 in J 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [backup-simplify]: Simplify (+ 0 1) into 1 6.214 * [backup-simplify]: Simplify (sqrt 1) into 1 6.214 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.215 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.215 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.215 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.215 * [taylor]: Taking taylor expansion of 1/2 in J 6.215 * [backup-simplify]: Simplify 1/2 into 1/2 6.215 * [taylor]: Taking taylor expansion of K in J 6.215 * [backup-simplify]: Simplify K into K 6.215 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.215 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.215 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.215 * [taylor]: Taking taylor expansion of J in J 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.215 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.216 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.216 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.216 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.216 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.216 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 6.216 * [taylor]: Taking taylor expansion of -2 in U 6.216 * [backup-simplify]: Simplify -2 into -2 6.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.216 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.216 * [taylor]: Taking taylor expansion of 1/2 in U 6.216 * [backup-simplify]: Simplify 1/2 into 1/2 6.216 * [taylor]: Taking taylor expansion of K in U 6.216 * [backup-simplify]: Simplify K into K 6.216 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.216 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.217 * [backup-simplify]: Simplify (+ 0) into 0 6.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.217 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.219 * [backup-simplify]: Simplify (- 0) into 0 6.219 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.221 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.221 * [taylor]: Taking taylor expansion of 0 in U 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.221 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.221 * [backup-simplify]: Simplify (- 0) into 0 6.222 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.222 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.222 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 6.222 * [taylor]: Taking taylor expansion of -2 in K 6.222 * [backup-simplify]: Simplify -2 into -2 6.222 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.222 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.222 * [taylor]: Taking taylor expansion of 1/2 in K 6.222 * [backup-simplify]: Simplify 1/2 into 1/2 6.222 * [taylor]: Taking taylor expansion of K in K 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.222 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.222 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.223 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.226 * [backup-simplify]: Simplify (- 0) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.228 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.229 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 6.231 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 6.231 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 6.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 6.231 * [taylor]: Taking taylor expansion of 1/4 in U 6.231 * [backup-simplify]: Simplify 1/4 into 1/4 6.231 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 6.231 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 6.231 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.231 * [taylor]: Taking taylor expansion of U in U 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.231 * [taylor]: Taking taylor expansion of 1/2 in U 6.231 * [backup-simplify]: Simplify 1/2 into 1/2 6.231 * [taylor]: Taking taylor expansion of K in U 6.231 * [backup-simplify]: Simplify K into K 6.231 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.231 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.232 * [backup-simplify]: Simplify (* 1 1) into 1 6.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.232 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.232 * [backup-simplify]: Simplify (- 0) into 0 6.232 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.232 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.232 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.232 * [backup-simplify]: Simplify (+ 0) into 0 6.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.233 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.234 * [backup-simplify]: Simplify (- 0) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.235 * [backup-simplify]: Simplify (- 0) into 0 6.235 * [taylor]: Taking taylor expansion of 0 in K 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [taylor]: Taking taylor expansion of 0 in K 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify (+ 0) into 0 6.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.237 * [backup-simplify]: Simplify (- 0) into 0 6.237 * [backup-simplify]: Simplify (+ 0 0) into 0 6.238 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.238 * [taylor]: Taking taylor expansion of 0 in K 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.241 * [backup-simplify]: Simplify (- 0) into 0 6.242 * [backup-simplify]: Simplify (+ 0 0) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.245 * [backup-simplify]: Simplify (+ 0) into 0 6.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.247 * [backup-simplify]: Simplify (- 0) into 0 6.247 * [backup-simplify]: Simplify (+ 0 0) into 0 6.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.247 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.247 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.248 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.252 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.252 * [taylor]: Taking taylor expansion of 0 in U 6.252 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.254 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.255 * [backup-simplify]: Simplify (- 0) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 6.258 * [backup-simplify]: Simplify (- 0) into 0 6.258 * [taylor]: Taking taylor expansion of 0 in K 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [taylor]: Taking taylor expansion of 0 in K 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.259 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (* (sqrt (+ (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1)) (cos (/ (/ 1 (- K)) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 6.259 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J U K) around 0 6.259 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.259 * [taylor]: Taking taylor expansion of 2 in K 6.259 * [backup-simplify]: Simplify 2 into 2 6.260 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.260 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.260 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.260 * [taylor]: Taking taylor expansion of -1/2 in K 6.260 * [backup-simplify]: Simplify -1/2 into -1/2 6.260 * [taylor]: Taking taylor expansion of K in K 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.260 * [taylor]: Taking taylor expansion of J in K 6.261 * [backup-simplify]: Simplify J into J 6.261 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.261 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.261 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.261 * [taylor]: Taking taylor expansion of 1 in K 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.261 * [taylor]: Taking taylor expansion of 1/4 in K 6.261 * [backup-simplify]: Simplify 1/4 into 1/4 6.261 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.261 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.261 * [taylor]: Taking taylor expansion of J in K 6.261 * [backup-simplify]: Simplify J into J 6.261 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.261 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.261 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.261 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.261 * [taylor]: Taking taylor expansion of -1/2 in K 6.261 * [backup-simplify]: Simplify -1/2 into -1/2 6.261 * [taylor]: Taking taylor expansion of K in K 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.262 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.262 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.262 * [taylor]: Taking taylor expansion of U in K 6.262 * [backup-simplify]: Simplify U into U 6.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.262 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.262 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.262 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.263 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.263 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.264 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.264 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.264 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.264 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.265 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.266 * [backup-simplify]: Simplify (+ 0 0) into 0 6.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.267 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.267 * [taylor]: Taking taylor expansion of 2 in U 6.267 * [backup-simplify]: Simplify 2 into 2 6.267 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.267 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 6.267 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.267 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.267 * [taylor]: Taking taylor expansion of -1/2 in U 6.267 * [backup-simplify]: Simplify -1/2 into -1/2 6.267 * [taylor]: Taking taylor expansion of K in U 6.267 * [backup-simplify]: Simplify K into K 6.267 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.267 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.267 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.267 * [taylor]: Taking taylor expansion of J in U 6.267 * [backup-simplify]: Simplify J into J 6.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.267 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.268 * [backup-simplify]: Simplify (- 0) into 0 6.268 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.268 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.268 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.268 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.268 * [taylor]: Taking taylor expansion of 1 in U 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.268 * [taylor]: Taking taylor expansion of 1/4 in U 6.268 * [backup-simplify]: Simplify 1/4 into 1/4 6.268 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.268 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.268 * [taylor]: Taking taylor expansion of J in U 6.268 * [backup-simplify]: Simplify J into J 6.268 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.268 * [taylor]: Taking taylor expansion of -1/2 in U 6.268 * [backup-simplify]: Simplify -1/2 into -1/2 6.268 * [taylor]: Taking taylor expansion of K in U 6.268 * [backup-simplify]: Simplify K into K 6.268 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.268 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.269 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.269 * [backup-simplify]: Simplify (- 0) into 0 6.269 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.269 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.269 * [taylor]: Taking taylor expansion of U in U 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.270 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.270 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.270 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.271 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.271 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.272 * [backup-simplify]: Simplify (+ 0) into 0 6.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.274 * [backup-simplify]: Simplify (- 0) into 0 6.274 * [backup-simplify]: Simplify (+ 0 0) into 0 6.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.275 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.277 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.277 * [taylor]: Taking taylor expansion of 2 in J 6.277 * [backup-simplify]: Simplify 2 into 2 6.277 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.277 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.277 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.277 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.277 * [taylor]: Taking taylor expansion of -1/2 in J 6.277 * [backup-simplify]: Simplify -1/2 into -1/2 6.277 * [taylor]: Taking taylor expansion of K in J 6.277 * [backup-simplify]: Simplify K into K 6.277 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.277 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.277 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.277 * [taylor]: Taking taylor expansion of J in J 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.277 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.278 * [backup-simplify]: Simplify (- 0) into 0 6.278 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.278 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.278 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.278 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.278 * [taylor]: Taking taylor expansion of 1 in J 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.278 * [taylor]: Taking taylor expansion of 1/4 in J 6.278 * [backup-simplify]: Simplify 1/4 into 1/4 6.278 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.278 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.278 * [taylor]: Taking taylor expansion of J in J 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.278 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.278 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.278 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.278 * [taylor]: Taking taylor expansion of -1/2 in J 6.278 * [backup-simplify]: Simplify -1/2 into -1/2 6.278 * [taylor]: Taking taylor expansion of K in J 6.278 * [backup-simplify]: Simplify K into K 6.279 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.279 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.279 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.279 * [backup-simplify]: Simplify (- 0) into 0 6.279 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.279 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.279 * [taylor]: Taking taylor expansion of U in J 6.279 * [backup-simplify]: Simplify U into U 6.280 * [backup-simplify]: Simplify (* 1 1) into 1 6.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.280 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.280 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.280 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.281 * [backup-simplify]: Simplify (+ 1 0) into 1 6.281 * [backup-simplify]: Simplify (sqrt 1) into 1 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.282 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.282 * [taylor]: Taking taylor expansion of 2 in J 6.282 * [backup-simplify]: Simplify 2 into 2 6.282 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.282 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.282 * [taylor]: Taking taylor expansion of -1/2 in J 6.282 * [backup-simplify]: Simplify -1/2 into -1/2 6.282 * [taylor]: Taking taylor expansion of K in J 6.282 * [backup-simplify]: Simplify K into K 6.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.283 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.283 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.283 * [taylor]: Taking taylor expansion of J in J 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.283 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.283 * [backup-simplify]: Simplify (- 0) into 0 6.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.283 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.283 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.283 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.283 * [taylor]: Taking taylor expansion of 1 in J 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.283 * [taylor]: Taking taylor expansion of 1/4 in J 6.284 * [backup-simplify]: Simplify 1/4 into 1/4 6.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.284 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.284 * [taylor]: Taking taylor expansion of J in J 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.284 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.284 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.284 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.284 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.284 * [taylor]: Taking taylor expansion of -1/2 in J 6.284 * [backup-simplify]: Simplify -1/2 into -1/2 6.284 * [taylor]: Taking taylor expansion of K in J 6.284 * [backup-simplify]: Simplify K into K 6.284 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.284 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.284 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.284 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.284 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.285 * [backup-simplify]: Simplify (- 0) into 0 6.285 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.285 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.285 * [taylor]: Taking taylor expansion of U in J 6.285 * [backup-simplify]: Simplify U into U 6.285 * [backup-simplify]: Simplify (* 1 1) into 1 6.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.285 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.285 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.285 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.286 * [backup-simplify]: Simplify (+ 1 0) into 1 6.286 * [backup-simplify]: Simplify (sqrt 1) into 1 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.287 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.287 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 6.287 * [taylor]: Taking taylor expansion of 2 in U 6.287 * [backup-simplify]: Simplify 2 into 2 6.287 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.287 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.287 * [taylor]: Taking taylor expansion of -1/2 in U 6.287 * [backup-simplify]: Simplify -1/2 into -1/2 6.287 * [taylor]: Taking taylor expansion of K in U 6.287 * [backup-simplify]: Simplify K into K 6.287 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.287 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.287 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.287 * [backup-simplify]: Simplify (+ 0) into 0 6.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.290 * [taylor]: Taking taylor expansion of 0 in U 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.290 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.290 * [backup-simplify]: Simplify (- 0) into 0 6.291 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.291 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.291 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 6.291 * [taylor]: Taking taylor expansion of 2 in K 6.291 * [backup-simplify]: Simplify 2 into 2 6.291 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.291 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.291 * [taylor]: Taking taylor expansion of -1/2 in K 6.291 * [backup-simplify]: Simplify -1/2 into -1/2 6.291 * [taylor]: Taking taylor expansion of K in K 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.291 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.291 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.291 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.292 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.292 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.295 * [backup-simplify]: Simplify (- 0) into 0 6.295 * [backup-simplify]: Simplify (+ 0 0) into 0 6.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 6.297 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 6.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U 6.297 * [taylor]: Taking taylor expansion of 1/4 in U 6.297 * [backup-simplify]: Simplify 1/4 into 1/4 6.297 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U 6.297 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 6.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.297 * [taylor]: Taking taylor expansion of -1/2 in U 6.297 * [backup-simplify]: Simplify -1/2 into -1/2 6.297 * [taylor]: Taking taylor expansion of K in U 6.297 * [backup-simplify]: Simplify K into K 6.297 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.297 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.297 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.297 * [taylor]: Taking taylor expansion of U in U 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 1 into 1 6.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.297 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.297 * [backup-simplify]: Simplify (- 0) into 0 6.298 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.298 * [backup-simplify]: Simplify (* 1 1) into 1 6.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.298 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.299 * [backup-simplify]: Simplify (+ 0) into 0 6.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.300 * [backup-simplify]: Simplify (- 0) into 0 6.300 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.301 * [taylor]: Taking taylor expansion of 0 in K 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [taylor]: Taking taylor expansion of 0 in K 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ 0) into 0 6.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.302 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.303 * [backup-simplify]: Simplify (- 0) into 0 6.303 * [backup-simplify]: Simplify (+ 0 0) into 0 6.303 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.303 * [taylor]: Taking taylor expansion of 0 in K 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.304 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.304 * [backup-simplify]: Simplify (+ 0) into 0 6.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.306 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.307 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.308 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 6.309 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.311 * [backup-simplify]: Simplify (- 0) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.317 * [taylor]: Taking taylor expansion of 0 in U 6.317 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.320 * [backup-simplify]: Simplify (- 0) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 6.321 * [taylor]: Taking taylor expansion of 0 in K 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [taylor]: Taking taylor expansion of 0 in K 6.321 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.322 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 6.322 * [backup-simplify]: Simplify (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.322 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0 6.322 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.322 * [taylor]: Taking taylor expansion of 1/4 in K 6.322 * [backup-simplify]: Simplify 1/4 into 1/4 6.322 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.322 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.322 * [taylor]: Taking taylor expansion of U in K 6.322 * [backup-simplify]: Simplify U into U 6.322 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.322 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.322 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.322 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.322 * [taylor]: Taking taylor expansion of 1/2 in K 6.322 * [backup-simplify]: Simplify 1/2 into 1/2 6.322 * [taylor]: Taking taylor expansion of K in K 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.323 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.323 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.323 * [taylor]: Taking taylor expansion of J in K 6.323 * [backup-simplify]: Simplify J into J 6.323 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.323 * [backup-simplify]: Simplify (* 1 1) into 1 6.323 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.323 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.324 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.324 * [taylor]: Taking taylor expansion of 1/4 in J 6.324 * [backup-simplify]: Simplify 1/4 into 1/4 6.324 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.324 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.324 * [taylor]: Taking taylor expansion of U in J 6.324 * [backup-simplify]: Simplify U into U 6.324 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.324 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.324 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.324 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.324 * [taylor]: Taking taylor expansion of 1/2 in J 6.324 * [backup-simplify]: Simplify 1/2 into 1/2 6.324 * [taylor]: Taking taylor expansion of K in J 6.324 * [backup-simplify]: Simplify K into K 6.324 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.324 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.324 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.324 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.324 * [backup-simplify]: Simplify (- 0) into 0 6.324 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.324 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.324 * [taylor]: Taking taylor expansion of J in J 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.325 * [backup-simplify]: Simplify (* 1 1) into 1 6.325 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.325 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.325 * [taylor]: Taking taylor expansion of 1/4 in U 6.325 * [backup-simplify]: Simplify 1/4 into 1/4 6.325 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.325 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.325 * [taylor]: Taking taylor expansion of U in U 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.325 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.325 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.325 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.325 * [taylor]: Taking taylor expansion of 1/2 in U 6.325 * [backup-simplify]: Simplify 1/2 into 1/2 6.325 * [taylor]: Taking taylor expansion of K in U 6.325 * [backup-simplify]: Simplify K into K 6.325 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.325 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.325 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.325 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.326 * [backup-simplify]: Simplify (- 0) into 0 6.326 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.326 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.326 * [taylor]: Taking taylor expansion of J in U 6.326 * [backup-simplify]: Simplify J into J 6.326 * [backup-simplify]: Simplify (* 1 1) into 1 6.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.326 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.326 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.326 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.326 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.327 * [taylor]: Taking taylor expansion of 1/4 in U 6.327 * [backup-simplify]: Simplify 1/4 into 1/4 6.327 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.327 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.327 * [taylor]: Taking taylor expansion of U in U 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.327 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.327 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.327 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.327 * [taylor]: Taking taylor expansion of 1/2 in U 6.327 * [backup-simplify]: Simplify 1/2 into 1/2 6.327 * [taylor]: Taking taylor expansion of K in U 6.327 * [backup-simplify]: Simplify K into K 6.327 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.327 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.327 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.327 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.327 * [backup-simplify]: Simplify (- 0) into 0 6.327 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.327 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.327 * [taylor]: Taking taylor expansion of J in U 6.327 * [backup-simplify]: Simplify J into J 6.328 * [backup-simplify]: Simplify (* 1 1) into 1 6.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.328 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.328 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.328 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.328 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.328 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.328 * [taylor]: Taking taylor expansion of 1/4 in J 6.328 * [backup-simplify]: Simplify 1/4 into 1/4 6.328 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.328 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.328 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.328 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.328 * [taylor]: Taking taylor expansion of 1/2 in J 6.328 * [backup-simplify]: Simplify 1/2 into 1/2 6.328 * [taylor]: Taking taylor expansion of K in J 6.328 * [backup-simplify]: Simplify K into K 6.328 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.328 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.328 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.329 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.329 * [backup-simplify]: Simplify (- 0) into 0 6.329 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.329 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.329 * [taylor]: Taking taylor expansion of J in J 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.329 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.329 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 6.330 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 6.330 * [taylor]: Taking taylor expansion of 1/4 in K 6.330 * [backup-simplify]: Simplify 1/4 into 1/4 6.330 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.330 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.330 * [taylor]: Taking taylor expansion of 1/2 in K 6.330 * [backup-simplify]: Simplify 1/2 into 1/2 6.330 * [taylor]: Taking taylor expansion of K in K 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.331 * [backup-simplify]: Simplify (* 1 1) into 1 6.331 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 6.331 * [backup-simplify]: Simplify 1/4 into 1/4 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.331 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.332 * [backup-simplify]: Simplify (+ 0) into 0 6.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.333 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.333 * [backup-simplify]: Simplify (- 0) into 0 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.334 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.334 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.335 * [taylor]: Taking taylor expansion of 0 in J 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (+ 0) into 0 6.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.337 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.337 * [backup-simplify]: Simplify (+ 0 0) into 0 6.337 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.338 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.338 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.338 * [taylor]: Taking taylor expansion of 0 in K 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify (+ 0) into 0 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.340 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.341 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.342 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.342 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.342 * [backup-simplify]: Simplify (- 0) into 0 6.343 * [backup-simplify]: Simplify (+ 0 0) into 0 6.343 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.343 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 6.344 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.345 * [taylor]: Taking taylor expansion of 0 in J 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.348 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.349 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.349 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.349 * [taylor]: Taking taylor expansion of 0 in K 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.350 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 6.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 6.351 * [backup-simplify]: Simplify 1/16 into 1/16 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.352 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.353 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.355 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.356 * [backup-simplify]: Simplify (- 0) into 0 6.356 * [backup-simplify]: Simplify (+ 0 0) into 0 6.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.357 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 6.358 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 6.359 * [taylor]: Taking taylor expansion of 0 in J 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [taylor]: Taking taylor expansion of 0 in K 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.361 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.363 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.363 * [backup-simplify]: Simplify (- 0) into 0 6.363 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.364 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.365 * [taylor]: Taking taylor expansion of 0 in K 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.369 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 6.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 6.373 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.373 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.374 * [backup-simplify]: Simplify (- 0) into 0 6.374 * [backup-simplify]: Simplify (+ 0 0) into 0 6.375 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 6.375 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 6.376 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 6.377 * [taylor]: Taking taylor expansion of 0 in J 6.377 * [backup-simplify]: Simplify 0 into 0 6.378 * [taylor]: Taking taylor expansion of 0 in K 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 6.378 * [backup-simplify]: Simplify (* (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.378 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0 6.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.378 * [taylor]: Taking taylor expansion of 1/4 in K 6.378 * [backup-simplify]: Simplify 1/4 into 1/4 6.378 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.378 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.378 * [taylor]: Taking taylor expansion of J in K 6.378 * [backup-simplify]: Simplify J into J 6.378 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.378 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.378 * [taylor]: Taking taylor expansion of U in K 6.378 * [backup-simplify]: Simplify U into U 6.378 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.378 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.378 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.378 * [taylor]: Taking taylor expansion of 1/2 in K 6.378 * [backup-simplify]: Simplify 1/2 into 1/2 6.378 * [taylor]: Taking taylor expansion of K in K 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.379 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.379 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.379 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.379 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.379 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.379 * [taylor]: Taking taylor expansion of 1/4 in J 6.379 * [backup-simplify]: Simplify 1/4 into 1/4 6.379 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.379 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.379 * [taylor]: Taking taylor expansion of J in J 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.379 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.379 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.380 * [taylor]: Taking taylor expansion of U in J 6.380 * [backup-simplify]: Simplify U into U 6.380 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.380 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.380 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.380 * [taylor]: Taking taylor expansion of 1/2 in J 6.380 * [backup-simplify]: Simplify 1/2 into 1/2 6.380 * [taylor]: Taking taylor expansion of K in J 6.380 * [backup-simplify]: Simplify K into K 6.380 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.380 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.380 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.380 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.380 * [backup-simplify]: Simplify (- 0) into 0 6.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.380 * [backup-simplify]: Simplify (* 1 1) into 1 6.380 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.381 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.381 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.381 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.381 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.381 * [taylor]: Taking taylor expansion of 1/4 in U 6.381 * [backup-simplify]: Simplify 1/4 into 1/4 6.381 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.381 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.381 * [taylor]: Taking taylor expansion of J in U 6.381 * [backup-simplify]: Simplify J into J 6.381 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.381 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.381 * [taylor]: Taking taylor expansion of U in U 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.381 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.381 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.381 * [taylor]: Taking taylor expansion of 1/2 in U 6.381 * [backup-simplify]: Simplify 1/2 into 1/2 6.381 * [taylor]: Taking taylor expansion of K in U 6.381 * [backup-simplify]: Simplify K into K 6.381 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.381 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.381 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.381 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.381 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.382 * [backup-simplify]: Simplify (- 0) into 0 6.382 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.382 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.382 * [backup-simplify]: Simplify (* 1 1) into 1 6.382 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.382 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.382 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.382 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.382 * [taylor]: Taking taylor expansion of 1/4 in U 6.382 * [backup-simplify]: Simplify 1/4 into 1/4 6.382 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.382 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.382 * [taylor]: Taking taylor expansion of J in U 6.382 * [backup-simplify]: Simplify J into J 6.382 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.382 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.383 * [taylor]: Taking taylor expansion of U in U 6.383 * [backup-simplify]: Simplify 0 into 0 6.383 * [backup-simplify]: Simplify 1 into 1 6.383 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.383 * [taylor]: Taking taylor expansion of 1/2 in U 6.383 * [backup-simplify]: Simplify 1/2 into 1/2 6.383 * [taylor]: Taking taylor expansion of K in U 6.383 * [backup-simplify]: Simplify K into K 6.383 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.383 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.383 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.383 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.383 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.383 * [backup-simplify]: Simplify (- 0) into 0 6.383 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.383 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.383 * [backup-simplify]: Simplify (* 1 1) into 1 6.384 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.384 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.384 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.384 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.384 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.384 * [taylor]: Taking taylor expansion of 1/4 in J 6.384 * [backup-simplify]: Simplify 1/4 into 1/4 6.384 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.384 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.384 * [taylor]: Taking taylor expansion of J in J 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.384 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.384 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.384 * [taylor]: Taking taylor expansion of 1/2 in J 6.384 * [backup-simplify]: Simplify 1/2 into 1/2 6.384 * [taylor]: Taking taylor expansion of K in J 6.384 * [backup-simplify]: Simplify K into K 6.384 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.384 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.384 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.384 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.384 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.385 * [backup-simplify]: Simplify (- 0) into 0 6.385 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.385 * [backup-simplify]: Simplify (* 1 1) into 1 6.385 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.385 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.385 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.385 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.385 * [taylor]: Taking taylor expansion of 1/4 in K 6.385 * [backup-simplify]: Simplify 1/4 into 1/4 6.385 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.385 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.385 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.385 * [taylor]: Taking taylor expansion of 1/2 in K 6.385 * [backup-simplify]: Simplify 1/2 into 1/2 6.385 * [taylor]: Taking taylor expansion of K in K 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify 1 into 1 6.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.386 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.386 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.386 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.386 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.386 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.386 * [backup-simplify]: Simplify (+ 0) into 0 6.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.388 * [backup-simplify]: Simplify (- 0) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.389 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.390 * [taylor]: Taking taylor expansion of 0 in J 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [taylor]: Taking taylor expansion of 0 in K 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.390 * [backup-simplify]: Simplify (+ 0) into 0 6.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.392 * [backup-simplify]: Simplify (- 0) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.392 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.393 * [taylor]: Taking taylor expansion of 0 in K 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.393 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.393 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.395 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.396 * [backup-simplify]: Simplify (- 0) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.398 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.399 * [taylor]: Taking taylor expansion of 0 in J 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [taylor]: Taking taylor expansion of 0 in K 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [taylor]: Taking taylor expansion of 0 in K 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.400 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.400 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.401 * [backup-simplify]: Simplify (- 0) into 0 6.402 * [backup-simplify]: Simplify (+ 0 0) into 0 6.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.402 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.403 * [taylor]: Taking taylor expansion of 0 in K 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.403 * [backup-simplify]: Simplify (* (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.403 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0 6.403 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.404 * [taylor]: Taking taylor expansion of 1/4 in K 6.404 * [backup-simplify]: Simplify 1/4 into 1/4 6.404 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.404 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.404 * [taylor]: Taking taylor expansion of J in K 6.404 * [backup-simplify]: Simplify J into J 6.404 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.404 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.404 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.404 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.404 * [taylor]: Taking taylor expansion of -1/2 in K 6.404 * [backup-simplify]: Simplify -1/2 into -1/2 6.404 * [taylor]: Taking taylor expansion of K in K 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.407 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.407 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.407 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.407 * [taylor]: Taking taylor expansion of U in K 6.407 * [backup-simplify]: Simplify U into U 6.407 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.408 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.408 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.408 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.408 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.408 * [taylor]: Taking taylor expansion of 1/4 in J 6.408 * [backup-simplify]: Simplify 1/4 into 1/4 6.408 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.408 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.408 * [taylor]: Taking taylor expansion of J in J 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.408 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.408 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.408 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.409 * [taylor]: Taking taylor expansion of -1/2 in J 6.409 * [backup-simplify]: Simplify -1/2 into -1/2 6.409 * [taylor]: Taking taylor expansion of K in J 6.409 * [backup-simplify]: Simplify K into K 6.409 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.409 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.409 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.409 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.409 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.409 * [backup-simplify]: Simplify (- 0) into 0 6.410 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.410 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.410 * [taylor]: Taking taylor expansion of U in J 6.410 * [backup-simplify]: Simplify U into U 6.410 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.410 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.410 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.411 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.411 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.411 * [taylor]: Taking taylor expansion of 1/4 in U 6.411 * [backup-simplify]: Simplify 1/4 into 1/4 6.411 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.411 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.411 * [taylor]: Taking taylor expansion of J in U 6.411 * [backup-simplify]: Simplify J into J 6.411 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.411 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.411 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.411 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.411 * [taylor]: Taking taylor expansion of -1/2 in U 6.411 * [backup-simplify]: Simplify -1/2 into -1/2 6.411 * [taylor]: Taking taylor expansion of K in U 6.411 * [backup-simplify]: Simplify K into K 6.411 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.411 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.411 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.411 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.411 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.412 * [backup-simplify]: Simplify (- 0) into 0 6.412 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.412 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.412 * [taylor]: Taking taylor expansion of U in U 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.412 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.412 * [backup-simplify]: Simplify (* 1 1) into 1 6.412 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.412 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.412 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.412 * [taylor]: Taking taylor expansion of 1/4 in U 6.412 * [backup-simplify]: Simplify 1/4 into 1/4 6.412 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.412 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.412 * [taylor]: Taking taylor expansion of J in U 6.412 * [backup-simplify]: Simplify J into J 6.412 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.412 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.412 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.412 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.413 * [taylor]: Taking taylor expansion of -1/2 in U 6.413 * [backup-simplify]: Simplify -1/2 into -1/2 6.413 * [taylor]: Taking taylor expansion of K in U 6.413 * [backup-simplify]: Simplify K into K 6.413 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.413 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.413 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.413 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.413 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.413 * [backup-simplify]: Simplify (- 0) into 0 6.413 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.413 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.413 * [taylor]: Taking taylor expansion of U in U 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.413 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.414 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.414 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.414 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.414 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.414 * [taylor]: Taking taylor expansion of 1/4 in J 6.414 * [backup-simplify]: Simplify 1/4 into 1/4 6.414 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.414 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.414 * [taylor]: Taking taylor expansion of J in J 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 1 into 1 6.414 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.414 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.414 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.414 * [taylor]: Taking taylor expansion of -1/2 in J 6.414 * [backup-simplify]: Simplify -1/2 into -1/2 6.414 * [taylor]: Taking taylor expansion of K in J 6.414 * [backup-simplify]: Simplify K into K 6.414 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.414 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.414 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.414 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.415 * [backup-simplify]: Simplify (- 0) into 0 6.415 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.415 * [backup-simplify]: Simplify (* 1 1) into 1 6.415 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.415 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.415 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.415 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 6.415 * [taylor]: Taking taylor expansion of 1/4 in K 6.415 * [backup-simplify]: Simplify 1/4 into 1/4 6.415 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.415 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.415 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.415 * [taylor]: Taking taylor expansion of -1/2 in K 6.416 * [backup-simplify]: Simplify -1/2 into -1/2 6.416 * [taylor]: Taking taylor expansion of K in K 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.416 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.416 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.416 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.416 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.416 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.417 * [backup-simplify]: Simplify (+ 0) into 0 6.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.418 * [backup-simplify]: Simplify (- 0) into 0 6.419 * [backup-simplify]: Simplify (+ 0 0) into 0 6.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.419 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.420 * [taylor]: Taking taylor expansion of 0 in J 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [taylor]: Taking taylor expansion of 0 in K 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.421 * [backup-simplify]: Simplify (+ 0) into 0 6.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.422 * [backup-simplify]: Simplify (- 0) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.423 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.423 * [taylor]: Taking taylor expansion of 0 in K 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.424 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.424 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.429 * [backup-simplify]: Simplify (- 0) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.431 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.432 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.433 * [taylor]: Taking taylor expansion of 0 in J 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [taylor]: Taking taylor expansion of 0 in K 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [taylor]: Taking taylor expansion of 0 in K 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.436 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.438 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.439 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.440 * [taylor]: Taking taylor expansion of 0 in K 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.441 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 6.441 * [backup-simplify]: Simplify (/ (/ U (* 2 J)) (cos (/ K 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.441 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 6.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 6.441 * [taylor]: Taking taylor expansion of 1/2 in K 6.441 * [backup-simplify]: Simplify 1/2 into 1/2 6.441 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 6.441 * [taylor]: Taking taylor expansion of U in K 6.441 * [backup-simplify]: Simplify U into U 6.441 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.442 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.442 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.442 * [taylor]: Taking taylor expansion of 1/2 in K 6.442 * [backup-simplify]: Simplify 1/2 into 1/2 6.442 * [taylor]: Taking taylor expansion of K in K 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.443 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.443 * [taylor]: Taking taylor expansion of J in K 6.443 * [backup-simplify]: Simplify J into J 6.443 * [backup-simplify]: Simplify (* 1 J) into J 6.443 * [backup-simplify]: Simplify (/ U J) into (/ U J) 6.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 6.443 * [taylor]: Taking taylor expansion of 1/2 in J 6.443 * [backup-simplify]: Simplify 1/2 into 1/2 6.443 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 6.443 * [taylor]: Taking taylor expansion of U in J 6.443 * [backup-simplify]: Simplify U into U 6.443 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.443 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.443 * [taylor]: Taking taylor expansion of 1/2 in J 6.443 * [backup-simplify]: Simplify 1/2 into 1/2 6.443 * [taylor]: Taking taylor expansion of K in J 6.443 * [backup-simplify]: Simplify K into K 6.444 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.444 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.444 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.444 * [taylor]: Taking taylor expansion of J in J 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.444 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.444 * [backup-simplify]: Simplify (- 0) into 0 6.444 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.445 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.445 * [backup-simplify]: Simplify (+ 0) into 0 6.445 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.447 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.448 * [backup-simplify]: Simplify (- 0) into 0 6.448 * [backup-simplify]: Simplify (+ 0 0) into 0 6.448 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.449 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 6.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 6.449 * [taylor]: Taking taylor expansion of 1/2 in U 6.449 * [backup-simplify]: Simplify 1/2 into 1/2 6.449 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 6.449 * [taylor]: Taking taylor expansion of U in U 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.449 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.449 * [taylor]: Taking taylor expansion of 1/2 in U 6.449 * [backup-simplify]: Simplify 1/2 into 1/2 6.449 * [taylor]: Taking taylor expansion of K in U 6.449 * [backup-simplify]: Simplify K into K 6.449 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.449 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.449 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.449 * [taylor]: Taking taylor expansion of J in U 6.449 * [backup-simplify]: Simplify J into J 6.449 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.449 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.450 * [backup-simplify]: Simplify (- 0) into 0 6.450 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.450 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 6.450 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 6.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 6.450 * [taylor]: Taking taylor expansion of 1/2 in U 6.450 * [backup-simplify]: Simplify 1/2 into 1/2 6.450 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 6.450 * [taylor]: Taking taylor expansion of U in U 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.450 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.450 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.450 * [taylor]: Taking taylor expansion of 1/2 in U 6.450 * [backup-simplify]: Simplify 1/2 into 1/2 6.451 * [taylor]: Taking taylor expansion of K in U 6.451 * [backup-simplify]: Simplify K into K 6.451 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.451 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.451 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.451 * [taylor]: Taking taylor expansion of J in U 6.451 * [backup-simplify]: Simplify J into J 6.451 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.451 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.451 * [backup-simplify]: Simplify (- 0) into 0 6.451 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.452 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 6.452 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 6.452 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 6.452 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 6.452 * [taylor]: Taking taylor expansion of 1/2 in J 6.452 * [backup-simplify]: Simplify 1/2 into 1/2 6.452 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.452 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.452 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.452 * [taylor]: Taking taylor expansion of 1/2 in J 6.452 * [backup-simplify]: Simplify 1/2 into 1/2 6.452 * [taylor]: Taking taylor expansion of K in J 6.452 * [backup-simplify]: Simplify K into K 6.452 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.452 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.452 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.452 * [taylor]: Taking taylor expansion of J in J 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.453 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.453 * [backup-simplify]: Simplify (- 0) into 0 6.453 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.453 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.454 * [backup-simplify]: Simplify (+ 0) into 0 6.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.456 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.456 * [backup-simplify]: Simplify (- 0) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.457 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 6.457 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 6.457 * [taylor]: Taking taylor expansion of 1/2 in K 6.457 * [backup-simplify]: Simplify 1/2 into 1/2 6.457 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.457 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.457 * [taylor]: Taking taylor expansion of 1/2 in K 6.457 * [backup-simplify]: Simplify 1/2 into 1/2 6.457 * [taylor]: Taking taylor expansion of K in K 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.459 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.459 * [backup-simplify]: Simplify 1/2 into 1/2 6.460 * [backup-simplify]: Simplify (+ 0) into 0 6.460 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.462 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.462 * [backup-simplify]: Simplify (- 0) into 0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 6.463 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 6.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 6.463 * [taylor]: Taking taylor expansion of 0 in J 6.463 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.464 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.465 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.466 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.466 * [backup-simplify]: Simplify (- 0) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.467 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 6.467 * [taylor]: Taking taylor expansion of 0 in K 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify (+ 0) into 0 6.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.468 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.469 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.470 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.470 * [backup-simplify]: Simplify (- 0) into 0 6.470 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 6.471 * [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 6.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 6.471 * [taylor]: Taking taylor expansion of 0 in J 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [taylor]: Taking taylor expansion of 0 in K 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.473 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.474 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.474 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.476 * [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 6.476 * [taylor]: Taking taylor expansion of 0 in K 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 6.477 * [backup-simplify]: Simplify 1/16 into 1/16 6.478 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.480 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.480 * [backup-simplify]: Simplify (- 0) into 0 6.481 * [backup-simplify]: Simplify (+ 0 0) into 0 6.481 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.481 * [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 6.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 6.482 * [taylor]: Taking taylor expansion of 0 in J 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [taylor]: Taking taylor expansion of 0 in K 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [taylor]: Taking taylor expansion of 0 in K 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 6.484 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 6.486 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.487 * [backup-simplify]: Simplify (- 0) into 0 6.487 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.488 * [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 6.488 * [taylor]: Taking taylor expansion of 0 in K 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [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))) 6.488 * [backup-simplify]: Simplify (/ (/ (/ 1 U) (* 2 (/ 1 J))) (cos (/ (/ 1 K) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 6.488 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 6.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 6.488 * [taylor]: Taking taylor expansion of 1/2 in K 6.489 * [backup-simplify]: Simplify 1/2 into 1/2 6.489 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 6.489 * [taylor]: Taking taylor expansion of J in K 6.489 * [backup-simplify]: Simplify J into J 6.489 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 6.489 * [taylor]: Taking taylor expansion of U in K 6.489 * [backup-simplify]: Simplify U into U 6.489 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.489 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.489 * [taylor]: Taking taylor expansion of 1/2 in K 6.489 * [backup-simplify]: Simplify 1/2 into 1/2 6.489 * [taylor]: Taking taylor expansion of K in K 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.489 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.489 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 6.489 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 6.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 6.489 * [taylor]: Taking taylor expansion of 1/2 in J 6.489 * [backup-simplify]: Simplify 1/2 into 1/2 6.489 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 6.489 * [taylor]: Taking taylor expansion of J in J 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 6.489 * [taylor]: Taking taylor expansion of U in J 6.489 * [backup-simplify]: Simplify U into U 6.489 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.489 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.489 * [taylor]: Taking taylor expansion of 1/2 in J 6.489 * [backup-simplify]: Simplify 1/2 into 1/2 6.489 * [taylor]: Taking taylor expansion of K in J 6.489 * [backup-simplify]: Simplify K into K 6.489 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.489 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.490 * [backup-simplify]: Simplify (- 0) into 0 6.490 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 6.490 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 6.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 6.490 * [taylor]: Taking taylor expansion of 1/2 in U 6.490 * [backup-simplify]: Simplify 1/2 into 1/2 6.490 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 6.490 * [taylor]: Taking taylor expansion of J in U 6.490 * [backup-simplify]: Simplify J into J 6.490 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 6.490 * [taylor]: Taking taylor expansion of U in U 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.490 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.490 * [taylor]: Taking taylor expansion of 1/2 in U 6.490 * [backup-simplify]: Simplify 1/2 into 1/2 6.490 * [taylor]: Taking taylor expansion of K in U 6.490 * [backup-simplify]: Simplify K into K 6.490 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.490 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.491 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.491 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.491 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 6.491 * [backup-simplify]: Simplify (+ 0) into 0 6.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.493 * [backup-simplify]: Simplify (- 0) into 0 6.493 * [backup-simplify]: Simplify (+ 0 0) into 0 6.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 6.493 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 6.493 * [taylor]: Taking taylor expansion of 1/2 in U 6.493 * [backup-simplify]: Simplify 1/2 into 1/2 6.493 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 6.493 * [taylor]: Taking taylor expansion of J in U 6.493 * [backup-simplify]: Simplify J into J 6.493 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 6.493 * [taylor]: Taking taylor expansion of U in U 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.493 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.493 * [taylor]: Taking taylor expansion of 1/2 in U 6.493 * [backup-simplify]: Simplify 1/2 into 1/2 6.493 * [taylor]: Taking taylor expansion of K in U 6.493 * [backup-simplify]: Simplify K into K 6.493 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.493 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.494 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.494 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.494 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.494 * [backup-simplify]: Simplify (- 0) into 0 6.494 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.494 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 6.494 * [backup-simplify]: Simplify (+ 0) into 0 6.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.496 * [backup-simplify]: Simplify (- 0) into 0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.496 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 6.496 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.496 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.496 * [taylor]: Taking taylor expansion of 1/2 in J 6.496 * [backup-simplify]: Simplify 1/2 into 1/2 6.496 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.496 * [taylor]: Taking taylor expansion of J in J 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 1 into 1 6.496 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.496 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.497 * [taylor]: Taking taylor expansion of 1/2 in J 6.497 * [backup-simplify]: Simplify 1/2 into 1/2 6.497 * [taylor]: Taking taylor expansion of K in J 6.497 * [backup-simplify]: Simplify K into K 6.497 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.497 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.497 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.497 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.497 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.497 * [backup-simplify]: Simplify (- 0) into 0 6.497 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.497 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.497 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.497 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.497 * [taylor]: Taking taylor expansion of 1/2 in K 6.497 * [backup-simplify]: Simplify 1/2 into 1/2 6.497 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.497 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.497 * [taylor]: Taking taylor expansion of 1/2 in K 6.497 * [backup-simplify]: Simplify 1/2 into 1/2 6.497 * [taylor]: Taking taylor expansion of K in K 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.498 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.498 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.498 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.499 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.500 * [backup-simplify]: Simplify (- 0) into 0 6.500 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 6.501 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.501 * [taylor]: Taking taylor expansion of 0 in J 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [taylor]: Taking taylor expansion of 0 in K 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify (+ 0) into 0 6.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.502 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.503 * [backup-simplify]: Simplify (- 0) into 0 6.503 * [backup-simplify]: Simplify (+ 0 0) into 0 6.503 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.504 * [taylor]: Taking taylor expansion of 0 in K 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.508 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 6.508 * [taylor]: Taking taylor expansion of 0 in J 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [taylor]: Taking taylor expansion of 0 in K 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [taylor]: Taking taylor expansion of 0 in K 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.510 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.511 * [backup-simplify]: Simplify (- 0) into 0 6.511 * [backup-simplify]: Simplify (+ 0 0) into 0 6.511 * [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 6.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 6.512 * [taylor]: Taking taylor expansion of 0 in K 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.512 * [backup-simplify]: Simplify (/ (/ (/ 1 (- U)) (* 2 (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 6.512 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 6.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 6.512 * [taylor]: Taking taylor expansion of 1/2 in K 6.512 * [backup-simplify]: Simplify 1/2 into 1/2 6.512 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 6.512 * [taylor]: Taking taylor expansion of J in K 6.512 * [backup-simplify]: Simplify J into J 6.512 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 6.512 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.512 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.512 * [taylor]: Taking taylor expansion of -1/2 in K 6.512 * [backup-simplify]: Simplify -1/2 into -1/2 6.512 * [taylor]: Taking taylor expansion of K in K 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.513 * [taylor]: Taking taylor expansion of U in K 6.513 * [backup-simplify]: Simplify U into U 6.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 6.513 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 6.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 6.513 * [taylor]: Taking taylor expansion of 1/2 in J 6.513 * [backup-simplify]: Simplify 1/2 into 1/2 6.513 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 6.513 * [taylor]: Taking taylor expansion of J in J 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify 1 into 1 6.513 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 6.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.513 * [taylor]: Taking taylor expansion of -1/2 in J 6.513 * [backup-simplify]: Simplify -1/2 into -1/2 6.513 * [taylor]: Taking taylor expansion of K in J 6.513 * [backup-simplify]: Simplify K into K 6.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.513 * [taylor]: Taking taylor expansion of U in J 6.513 * [backup-simplify]: Simplify U into U 6.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 6.514 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 6.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 6.514 * [taylor]: Taking taylor expansion of 1/2 in U 6.514 * [backup-simplify]: Simplify 1/2 into 1/2 6.514 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 6.514 * [taylor]: Taking taylor expansion of J in U 6.514 * [backup-simplify]: Simplify J into J 6.514 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 6.514 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.514 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.514 * [taylor]: Taking taylor expansion of -1/2 in U 6.514 * [backup-simplify]: Simplify -1/2 into -1/2 6.514 * [taylor]: Taking taylor expansion of K in U 6.514 * [backup-simplify]: Simplify K into K 6.514 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.514 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.514 * [taylor]: Taking taylor expansion of U in U 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 1 into 1 6.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.514 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.515 * [backup-simplify]: Simplify (- 0) into 0 6.515 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 6.518 * [backup-simplify]: Simplify (+ 0) into 0 6.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.519 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.520 * [backup-simplify]: Simplify (- 0) into 0 6.520 * [backup-simplify]: Simplify (+ 0 0) into 0 6.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 6.520 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 6.520 * [taylor]: Taking taylor expansion of 1/2 in U 6.520 * [backup-simplify]: Simplify 1/2 into 1/2 6.520 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 6.520 * [taylor]: Taking taylor expansion of J in U 6.520 * [backup-simplify]: Simplify J into J 6.520 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 6.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.520 * [taylor]: Taking taylor expansion of -1/2 in U 6.520 * [backup-simplify]: Simplify -1/2 into -1/2 6.520 * [taylor]: Taking taylor expansion of K in U 6.520 * [backup-simplify]: Simplify K into K 6.521 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.521 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.521 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.521 * [taylor]: Taking taylor expansion of U in U 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.521 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.521 * [backup-simplify]: Simplify (- 0) into 0 6.521 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 6.521 * [backup-simplify]: Simplify (+ 0) into 0 6.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.523 * [backup-simplify]: Simplify (- 0) into 0 6.523 * [backup-simplify]: Simplify (+ 0 0) into 0 6.523 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 6.523 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.523 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.524 * [taylor]: Taking taylor expansion of 1/2 in J 6.524 * [backup-simplify]: Simplify 1/2 into 1/2 6.524 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.524 * [taylor]: Taking taylor expansion of J in J 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.524 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.524 * [taylor]: Taking taylor expansion of -1/2 in J 6.524 * [backup-simplify]: Simplify -1/2 into -1/2 6.524 * [taylor]: Taking taylor expansion of K in J 6.524 * [backup-simplify]: Simplify K into K 6.524 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.524 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.524 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.524 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.524 * [backup-simplify]: Simplify (- 0) into 0 6.524 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.524 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.524 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.524 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.524 * [taylor]: Taking taylor expansion of 1/2 in K 6.524 * [backup-simplify]: Simplify 1/2 into 1/2 6.524 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.524 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.524 * [taylor]: Taking taylor expansion of -1/2 in K 6.524 * [backup-simplify]: Simplify -1/2 into -1/2 6.524 * [taylor]: Taking taylor expansion of K in K 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.525 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.525 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.527 * [backup-simplify]: Simplify (- 0) into 0 6.527 * [backup-simplify]: Simplify (+ 0 0) into 0 6.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.528 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.528 * [taylor]: Taking taylor expansion of 0 in J 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [taylor]: Taking taylor expansion of 0 in K 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify (+ 0) into 0 6.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.529 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.530 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.530 * [backup-simplify]: Simplify (- 0) into 0 6.530 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.531 * [taylor]: Taking taylor expansion of 0 in K 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.533 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.533 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.534 * [backup-simplify]: Simplify (- 0) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.535 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 6.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 6.535 * [taylor]: Taking taylor expansion of 0 in J 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [taylor]: Taking taylor expansion of 0 in K 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [taylor]: Taking taylor expansion of 0 in K 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.537 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.537 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.538 * [backup-simplify]: Simplify (- 0) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [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 6.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 6.539 * [taylor]: Taking taylor expansion of 0 in K 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.539 * * * [progress]: simplifying candidates 6.539 * * * * [progress]: [ 1 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 2 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 3 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 4 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 5 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 6 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 7 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 8 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 9 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 10 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 11 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 12 / 230 ] simplifiying candidate # 6.539 * * * * [progress]: [ 13 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 14 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 15 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 16 / 230 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))))> 6.540 * * * * [progress]: [ 17 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 18 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 19 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 20 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 21 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 22 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 23 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 24 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 25 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 26 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 27 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 28 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 29 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 30 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 31 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 32 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 33 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 34 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 35 / 230 ] simplifiying candidate # 6.540 * * * * [progress]: [ 36 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 37 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 38 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 39 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 40 / 230 ] simplifiying candidate #real (real->posit16 (* (* -2 J) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))))))> 6.541 * * * * [progress]: [ 41 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 42 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 43 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 44 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 45 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 46 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 47 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 48 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 49 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 50 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 51 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 52 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 53 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 54 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 55 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 56 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 57 / 230 ] simplifiying candidate # 6.541 * * * * [progress]: [ 58 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 59 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 60 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 61 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 62 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 63 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 64 / 230 ] simplifiying candidate # 6.542 * * * * [progress]: [ 65 / 230 ] simplifiying 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[ 218 / 230 ] simplifiying candidate #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> 6.549 * * * * [progress]: [ 219 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 220 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 221 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 222 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 223 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 224 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 225 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 226 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 227 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 228 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 229 / 230 ] simplifiying candidate # 6.549 * * * * [progress]: [ 230 / 230 ] simplifiying candidate # 6.552 * [simplify]: Simplifying: (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos 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U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (cos (/ K 2))) (/ (/ U (* 2 J)) (/ (cos (/ K 2)) (/ U (* 2 J)))) (/ (/ U (* 2 J)) (/ (cos (/ K 2)) (/ U (* 2 J)))) (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (log (/ (/ U (* 2 J)) (cos (/ K 2)))) (log (/ (/ U (* 2 J)) (cos (/ K 2)))) (log (/ (/ U (* 2 J)) (cos (/ K 2)))) (log (/ (/ U (* 2 J)) (cos (/ K 2)))) (exp (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ (* U U) 8) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (/ (/ U J) (* J J)) (cos (/ K 2)))) (/ U (/ (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* (* 2 J) (* 2 J))))) (* U U))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ (- U) 2) J) (- (cos (/ K 2))) (* (/ (cbrt (/ U (* 2 J))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* 2 J))) (cbrt (cos (/ K 2))))) (/ (cbrt (/ U (* 2 J))) (cbrt (cos (/ K 2)))) (/ (* (cbrt (/ U (* 2 J))) (cbrt (/ U (* 2 J)))) (sqrt (cos (/ K 2)))) (/ (cbrt (/ U (* 2 J))) (sqrt (cos (/ K 2)))) (* (cbrt (/ U (* 2 J))) (cbrt (/ U (* 2 J)))) (/ (cbrt (/ U (* 2 J))) (cos (/ K 2))) (/ (/ (sqrt (/ U (* 2 J))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ (sqrt (/ U (* 2 J))) (cbrt (cos (/ K 2)))) (/ (sqrt (/ U (* 2 J))) (sqrt (cos (/ K 2)))) (/ (sqrt (/ U (* 2 J))) (sqrt (cos (/ K 2)))) (sqrt (/ U (* 2 J))) (/ (sqrt (/ U (* 2 J))) (cos (/ K 2))) (/ (/ (* (cbrt U) (cbrt U)) 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ (cbrt U) J) (cbrt (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) 2) (sqrt (cos (/ K 2)))) (/ (/ (cbrt U) J) (sqrt (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) 2) (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (/ (sqrt U) 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ (/ (sqrt U) J) (cbrt (cos (/ K 2)))) (/ (/ (sqrt U) (sqrt (cos (/ K 2)))) 2) (/ (/ (sqrt U) (sqrt (cos (/ K 2)))) J) (/ (sqrt U) 2) (/ (/ (sqrt U) J) (cos (/ K 2))) (/ 1/2 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ U J) (cbrt (cos (/ K 2)))) (/ 1/2 (sqrt (cos (/ K 2)))) (/ (/ U J) (sqrt (cos (/ K 2)))) 1/2 (/ (/ U J) (cos (/ K 2))) (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ U (* 2 J)) (cbrt (cos (/ K 2)))) (/ 1 (sqrt (cos (/ K 2)))) (/ (/ U (* 2 J)) (sqrt (cos (/ K 2)))) 1 (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ 1/2 J) (cbrt (cos (/ K 2)))) (/ U (sqrt (cos (/ K 2)))) (/ (/ 1/2 J) (sqrt (cos (/ K 2)))) U (/ (/ 1/2 J) (cos (/ K 2))) (/ 1 (cos (/ K 2))) (/ (cos (/ K 2)) (/ U (* 2 J))) (/ (/ (/ U (* 2 J)) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (/ (/ U (* 2 J)) (sqrt (cos (/ K 2)))) (/ U (* 2 J)) (/ (cos (/ K 2)) (cbrt (/ U (* 2 J)))) (/ (cos (/ K 2)) (sqrt (/ U (* 2 J)))) (/ (cos (/ K 2)) (/ (cbrt U) J)) (/ (cos (/ K 2)) (/ (sqrt U) J)) (/ (cos (/ K 2)) (/ U J)) (/ (cos (/ K 2)) (/ U (* 2 J))) (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))) (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))) 1 (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2))) (- U) (* (* -2 (cos (* K 1/2))) J) (* (* -2 (cos (* K 1/2))) J) (+ (/ (* (* K K) 1/16) (/ (* J J) (* U U))) (/ (* 1/4 (* U U)) (* J J))) (/ (/ (* 1/4 (* U U)) (* J J)) (* (cos (* K 1/2)) (cos (* K 1/2)))) (/ (/ (* 1/4 (* U U)) (* J J)) (* (cos (* K 1/2)) (cos (* K 1/2)))) (+ (* 1/2 (/ U J)) (/ (* (* K K) 1/16) (/ J U))) (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2))) 9.447 * * * [progress]: adding candidates to table 10.748 * * [progress]: iteration 3 / 4 10.748 * * * [progress]: picking best candidate 10.797 * * * * [pick]: Picked # 10.797 * * * [progress]: localizing error 10.889 * * * [progress]: generating rewritten candidates 10.889 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 11.027 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 11.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 11.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.249 * * * [progress]: generating series expansions 11.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 11.249 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 11.249 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 11.249 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.249 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.249 * [taylor]: Taking taylor expansion of 1/4 in K 11.249 * [backup-simplify]: Simplify 1/4 into 1/4 11.249 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.249 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.249 * [taylor]: Taking taylor expansion of U in K 11.249 * [backup-simplify]: Simplify U into U 11.249 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.249 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.249 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.249 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.249 * [taylor]: Taking taylor expansion of 1/2 in K 11.249 * [backup-simplify]: Simplify 1/2 into 1/2 11.249 * [taylor]: Taking taylor expansion of K in K 11.249 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify 1 into 1 11.250 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.250 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.250 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.250 * [taylor]: Taking taylor expansion of J in K 11.250 * [backup-simplify]: Simplify J into J 11.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.251 * [backup-simplify]: Simplify (* 1 1) into 1 11.251 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.251 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.251 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.251 * [taylor]: Taking taylor expansion of 1 in K 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.251 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.252 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.252 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.252 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.252 * [backup-simplify]: Simplify (+ 0) into 0 11.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 11.253 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 11.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 11.254 * [backup-simplify]: Simplify (+ 0 0) into 0 11.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 11.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.254 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.254 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.254 * [taylor]: Taking taylor expansion of 1/4 in J 11.254 * [backup-simplify]: Simplify 1/4 into 1/4 11.254 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.254 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.254 * [taylor]: Taking taylor expansion of U in J 11.254 * [backup-simplify]: Simplify U into U 11.254 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.254 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.254 * [taylor]: Taking taylor expansion of 1/2 in J 11.254 * [backup-simplify]: Simplify 1/2 into 1/2 11.254 * [taylor]: Taking taylor expansion of K in J 11.254 * [backup-simplify]: Simplify K into K 11.254 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.254 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.254 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.254 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.255 * [backup-simplify]: Simplify (- 0) into 0 11.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.255 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.255 * [taylor]: Taking taylor expansion of J in J 11.255 * [backup-simplify]: Simplify 0 into 0 11.255 * [backup-simplify]: Simplify 1 into 1 11.255 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.255 * [backup-simplify]: Simplify (* 1 1) into 1 11.255 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.255 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.255 * [taylor]: Taking taylor expansion of 1 in J 11.256 * [backup-simplify]: Simplify 1 into 1 11.256 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.256 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.256 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 11.256 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.257 * [backup-simplify]: Simplify (+ 0) into 0 11.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.258 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.258 * [backup-simplify]: Simplify (- 0) into 0 11.259 * [backup-simplify]: Simplify (+ 0 0) into 0 11.259 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.259 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.259 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 11.260 * [backup-simplify]: Simplify (+ 0 0) into 0 11.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 11.260 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.260 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.260 * [taylor]: Taking taylor expansion of 1/4 in U 11.260 * [backup-simplify]: Simplify 1/4 into 1/4 11.261 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.261 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.261 * [taylor]: Taking taylor expansion of U in U 11.261 * [backup-simplify]: Simplify 0 into 0 11.261 * [backup-simplify]: Simplify 1 into 1 11.261 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.261 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.261 * [taylor]: Taking taylor expansion of 1/2 in U 11.261 * [backup-simplify]: Simplify 1/2 into 1/2 11.261 * [taylor]: Taking taylor expansion of K in U 11.261 * [backup-simplify]: Simplify K into K 11.261 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.261 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.261 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.261 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.261 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.261 * [backup-simplify]: Simplify (- 0) into 0 11.261 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.261 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.261 * [taylor]: Taking taylor expansion of J in U 11.261 * [backup-simplify]: Simplify J into J 11.262 * [backup-simplify]: Simplify (* 1 1) into 1 11.262 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.262 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.262 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.262 * [taylor]: Taking taylor expansion of 1 in U 11.262 * [backup-simplify]: Simplify 1 into 1 11.262 * [backup-simplify]: Simplify (+ 0 1) into 1 11.263 * [backup-simplify]: Simplify (sqrt 1) into 1 11.263 * [backup-simplify]: Simplify (+ 0 0) into 0 11.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.263 * [taylor]: Taking taylor expansion of 1/4 in U 11.263 * [backup-simplify]: Simplify 1/4 into 1/4 11.263 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.263 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.263 * [taylor]: Taking taylor expansion of U in U 11.263 * [backup-simplify]: Simplify 0 into 0 11.263 * [backup-simplify]: Simplify 1 into 1 11.263 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.263 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.264 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.264 * [taylor]: Taking taylor expansion of 1/2 in U 11.264 * [backup-simplify]: Simplify 1/2 into 1/2 11.264 * [taylor]: Taking taylor expansion of K in U 11.264 * [backup-simplify]: Simplify K into K 11.264 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.264 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.264 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.264 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.264 * [backup-simplify]: Simplify (- 0) into 0 11.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.264 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.264 * [taylor]: Taking taylor expansion of J in U 11.264 * [backup-simplify]: Simplify J into J 11.264 * [backup-simplify]: Simplify (* 1 1) into 1 11.265 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.265 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.265 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.265 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.265 * [taylor]: Taking taylor expansion of 1 in U 11.265 * [backup-simplify]: Simplify 1 into 1 11.265 * [backup-simplify]: Simplify (+ 0 1) into 1 11.265 * [backup-simplify]: Simplify (sqrt 1) into 1 11.266 * [backup-simplify]: Simplify (+ 0 0) into 0 11.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.266 * [taylor]: Taking taylor expansion of 1 in J 11.266 * [backup-simplify]: Simplify 1 into 1 11.266 * [taylor]: Taking taylor expansion of 0 in J 11.266 * [backup-simplify]: Simplify 0 into 0 11.266 * [taylor]: Taking taylor expansion of 1 in K 11.266 * [backup-simplify]: Simplify 1 into 1 11.266 * [backup-simplify]: Simplify 1 into 1 11.267 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.267 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.270 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.270 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.270 * [taylor]: Taking taylor expansion of 1/8 in J 11.270 * [backup-simplify]: Simplify 1/8 into 1/8 11.270 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.270 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.270 * [taylor]: Taking taylor expansion of 1/2 in J 11.270 * [backup-simplify]: Simplify 1/2 into 1/2 11.270 * [taylor]: Taking taylor expansion of K in J 11.270 * [backup-simplify]: Simplify K into K 11.270 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.270 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.270 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.270 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.270 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.270 * [backup-simplify]: Simplify (- 0) into 0 11.270 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.271 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.271 * [taylor]: Taking taylor expansion of J in J 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.271 * [backup-simplify]: Simplify (* 1 1) into 1 11.271 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.271 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 11.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.272 * [backup-simplify]: Simplify (+ 0) into 0 11.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.273 * [backup-simplify]: Simplify (- 0) into 0 11.274 * [backup-simplify]: Simplify (+ 0 0) into 0 11.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.274 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.274 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.274 * [taylor]: Taking taylor expansion of 0 in K 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [taylor]: Taking taylor expansion of 0 in K 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [taylor]: Taking taylor expansion of 0 in K 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.276 * [backup-simplify]: Simplify (+ 0) into 0 11.276 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.278 * [backup-simplify]: Simplify (- 0) into 0 11.278 * [backup-simplify]: Simplify (+ 0 0) into 0 11.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.279 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 11.279 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 11.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 11.280 * [backup-simplify]: Simplify (+ 0 0) into 0 11.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 11.281 * [taylor]: Taking taylor expansion of 0 in J 11.281 * [backup-simplify]: Simplify 0 into 0 11.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.283 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.285 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.286 * [backup-simplify]: Simplify (- 0) into 0 11.286 * [backup-simplify]: Simplify (+ 0 0) into 0 11.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.287 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.288 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.288 * [taylor]: Taking taylor expansion of 0 in K 11.288 * [backup-simplify]: Simplify 0 into 0 11.288 * [backup-simplify]: Simplify 0 into 0 11.288 * [taylor]: Taking taylor expansion of 0 in K 11.288 * [backup-simplify]: Simplify 0 into 0 11.288 * [backup-simplify]: Simplify 0 into 0 11.288 * [backup-simplify]: Simplify 1 into 1 11.289 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.289 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 11.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.289 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.289 * [taylor]: Taking taylor expansion of 1/4 in K 11.289 * [backup-simplify]: Simplify 1/4 into 1/4 11.289 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.289 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.289 * [taylor]: Taking taylor expansion of J in K 11.289 * [backup-simplify]: Simplify J into J 11.289 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.289 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.289 * [taylor]: Taking taylor expansion of U in K 11.289 * [backup-simplify]: Simplify U into U 11.289 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.289 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.289 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.289 * [taylor]: Taking taylor expansion of 1/2 in K 11.289 * [backup-simplify]: Simplify 1/2 into 1/2 11.289 * [taylor]: Taking taylor expansion of K in K 11.289 * [backup-simplify]: Simplify 0 into 0 11.289 * [backup-simplify]: Simplify 1 into 1 11.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.290 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.290 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.290 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.290 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.290 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.290 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.290 * [taylor]: Taking taylor expansion of 1 in K 11.290 * [backup-simplify]: Simplify 1 into 1 11.291 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.291 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.291 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.292 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.292 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.292 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.293 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.294 * [backup-simplify]: Simplify (+ 0 0) into 0 11.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 11.294 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.294 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.294 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.295 * [taylor]: Taking taylor expansion of 1/4 in J 11.295 * [backup-simplify]: Simplify 1/4 into 1/4 11.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.295 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.295 * [taylor]: Taking taylor expansion of J in J 11.295 * [backup-simplify]: Simplify 0 into 0 11.295 * [backup-simplify]: Simplify 1 into 1 11.295 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.295 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.295 * [taylor]: Taking taylor expansion of U in J 11.295 * [backup-simplify]: Simplify U into U 11.295 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.295 * [taylor]: Taking taylor expansion of 1/2 in J 11.295 * [backup-simplify]: Simplify 1/2 into 1/2 11.295 * [taylor]: Taking taylor expansion of K in J 11.295 * [backup-simplify]: Simplify K into K 11.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.295 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.295 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.295 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.296 * [backup-simplify]: Simplify (- 0) into 0 11.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.296 * [backup-simplify]: Simplify (* 1 1) into 1 11.296 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.296 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.297 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.297 * [taylor]: Taking taylor expansion of 1 in J 11.297 * [backup-simplify]: Simplify 1 into 1 11.297 * [backup-simplify]: Simplify (+ 0 1) into 1 11.297 * [backup-simplify]: Simplify (sqrt 1) into 1 11.298 * [backup-simplify]: Simplify (+ 0 0) into 0 11.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.299 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.299 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.299 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.299 * [taylor]: Taking taylor expansion of 1/4 in U 11.299 * [backup-simplify]: Simplify 1/4 into 1/4 11.299 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.299 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.299 * [taylor]: Taking taylor expansion of J in U 11.299 * [backup-simplify]: Simplify J into J 11.299 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.299 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.299 * [taylor]: Taking taylor expansion of U in U 11.299 * [backup-simplify]: Simplify 0 into 0 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.299 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.299 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.299 * [taylor]: Taking taylor expansion of 1/2 in U 11.299 * [backup-simplify]: Simplify 1/2 into 1/2 11.299 * [taylor]: Taking taylor expansion of K in U 11.299 * [backup-simplify]: Simplify K into K 11.299 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.299 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.299 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.299 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.299 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.300 * [backup-simplify]: Simplify (- 0) into 0 11.300 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.300 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.300 * [backup-simplify]: Simplify (* 1 1) into 1 11.300 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.301 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.301 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.301 * [taylor]: Taking taylor expansion of 1 in U 11.301 * [backup-simplify]: Simplify 1 into 1 11.301 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.301 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.302 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.302 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.302 * [backup-simplify]: Simplify (+ 0) into 0 11.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.304 * [backup-simplify]: Simplify (- 0) into 0 11.305 * [backup-simplify]: Simplify (+ 0 0) into 0 11.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.307 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.308 * [backup-simplify]: Simplify (+ 0 0) into 0 11.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.308 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.308 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.308 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.308 * [taylor]: Taking taylor expansion of 1/4 in U 11.308 * [backup-simplify]: Simplify 1/4 into 1/4 11.308 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.308 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.308 * [taylor]: Taking taylor expansion of J in U 11.308 * [backup-simplify]: Simplify J into J 11.308 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.308 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.308 * [taylor]: Taking taylor expansion of U in U 11.308 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify 1 into 1 11.308 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.308 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.308 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.308 * [taylor]: Taking taylor expansion of 1/2 in U 11.308 * [backup-simplify]: Simplify 1/2 into 1/2 11.308 * [taylor]: Taking taylor expansion of K in U 11.308 * [backup-simplify]: Simplify K into K 11.308 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.308 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.309 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.309 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.309 * [backup-simplify]: Simplify (- 0) into 0 11.309 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.309 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.310 * [backup-simplify]: Simplify (* 1 1) into 1 11.310 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.310 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.310 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.310 * [taylor]: Taking taylor expansion of 1 in U 11.310 * [backup-simplify]: Simplify 1 into 1 11.310 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.311 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.311 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.311 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.311 * [backup-simplify]: Simplify (+ 0) into 0 11.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.312 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.313 * [backup-simplify]: Simplify (- 0) into 0 11.314 * [backup-simplify]: Simplify (+ 0 0) into 0 11.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.316 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.317 * [backup-simplify]: Simplify (+ 0 0) into 0 11.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 11.317 * [taylor]: Taking taylor expansion of 1/2 in J 11.317 * [backup-simplify]: Simplify 1/2 into 1/2 11.317 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 11.317 * [taylor]: Taking taylor expansion of J in J 11.317 * [backup-simplify]: Simplify 0 into 0 11.317 * [backup-simplify]: Simplify 1 into 1 11.317 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.317 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.317 * [taylor]: Taking taylor expansion of 1/2 in J 11.317 * [backup-simplify]: Simplify 1/2 into 1/2 11.317 * [taylor]: Taking taylor expansion of K in J 11.317 * [backup-simplify]: Simplify K into K 11.317 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.317 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.317 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.318 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.318 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.318 * [backup-simplify]: Simplify (- 0) into 0 11.318 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.318 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 11.318 * [taylor]: Taking taylor expansion of 0 in J 11.318 * [backup-simplify]: Simplify 0 into 0 11.318 * [taylor]: Taking taylor expansion of 0 in K 11.318 * [backup-simplify]: Simplify 0 into 0 11.318 * [backup-simplify]: Simplify 0 into 0 11.318 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 11.318 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 11.318 * [taylor]: Taking taylor expansion of 1/2 in K 11.318 * [backup-simplify]: Simplify 1/2 into 1/2 11.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.319 * [taylor]: Taking taylor expansion of 1/2 in K 11.319 * [backup-simplify]: Simplify 1/2 into 1/2 11.319 * [taylor]: Taking taylor expansion of K in K 11.319 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify 1 into 1 11.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.319 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.319 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.320 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.322 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.323 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.323 * [backup-simplify]: Simplify (- 0) into 0 11.323 * [backup-simplify]: Simplify (+ 0 0) into 0 11.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.326 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.328 * [backup-simplify]: Simplify (+ 0 1) into 1 11.329 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 11.329 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 11.329 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.329 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.329 * [taylor]: Taking taylor expansion of 1/2 in J 11.329 * [backup-simplify]: Simplify 1/2 into 1/2 11.329 * [taylor]: Taking taylor expansion of K in J 11.329 * [backup-simplify]: Simplify K into K 11.329 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.329 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.329 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.329 * [taylor]: Taking taylor expansion of J in J 11.329 * [backup-simplify]: Simplify 0 into 0 11.329 * [backup-simplify]: Simplify 1 into 1 11.329 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.329 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.330 * [backup-simplify]: Simplify (- 0) into 0 11.330 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.330 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.330 * [backup-simplify]: Simplify (+ 0) into 0 11.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.332 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.332 * [backup-simplify]: Simplify (- 0) into 0 11.333 * [backup-simplify]: Simplify (+ 0 0) into 0 11.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.334 * [taylor]: Taking taylor expansion of 0 in K 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [taylor]: Taking taylor expansion of 0 in K 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify (+ 0) into 0 11.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.336 * [backup-simplify]: Simplify (- 0) into 0 11.337 * [backup-simplify]: Simplify (+ 0 0) into 0 11.337 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.337 * [taylor]: Taking taylor expansion of 0 in K 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.338 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.339 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.343 * [backup-simplify]: Simplify (- 0) into 0 11.343 * [backup-simplify]: Simplify (+ 0 0) into 0 11.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 11.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.347 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.348 * [backup-simplify]: Simplify (+ 0 0) into 0 11.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 11.349 * [taylor]: Taking taylor expansion of 0 in J 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [taylor]: Taking taylor expansion of 0 in K 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.349 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.350 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 11.350 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.350 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.350 * [taylor]: Taking taylor expansion of 1 in K 11.350 * [backup-simplify]: Simplify 1 into 1 11.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.350 * [taylor]: Taking taylor expansion of 1/4 in K 11.350 * [backup-simplify]: Simplify 1/4 into 1/4 11.350 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.350 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.350 * [taylor]: Taking taylor expansion of J in K 11.350 * [backup-simplify]: Simplify J into J 11.350 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.350 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.350 * [taylor]: Taking taylor expansion of -1/2 in K 11.350 * [backup-simplify]: Simplify -1/2 into -1/2 11.350 * [taylor]: Taking taylor expansion of K in K 11.350 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify 1 into 1 11.350 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.351 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.351 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.351 * [taylor]: Taking taylor expansion of U in K 11.351 * [backup-simplify]: Simplify U into U 11.351 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.351 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.351 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.351 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.352 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.352 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.353 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.353 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.353 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.353 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.354 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.355 * [backup-simplify]: Simplify (+ 0 0) into 0 11.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.356 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.356 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.356 * [taylor]: Taking taylor expansion of 1 in J 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.356 * [taylor]: Taking taylor expansion of 1/4 in J 11.356 * [backup-simplify]: Simplify 1/4 into 1/4 11.356 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.356 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.356 * [taylor]: Taking taylor expansion of J in J 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.356 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.356 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.356 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.356 * [taylor]: Taking taylor expansion of -1/2 in J 11.356 * [backup-simplify]: Simplify -1/2 into -1/2 11.356 * [taylor]: Taking taylor expansion of K in J 11.356 * [backup-simplify]: Simplify K into K 11.356 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.356 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.356 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.356 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.356 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.357 * [backup-simplify]: Simplify (- 0) into 0 11.357 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.357 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.357 * [taylor]: Taking taylor expansion of U in J 11.357 * [backup-simplify]: Simplify U into U 11.358 * [backup-simplify]: Simplify (* 1 1) into 1 11.358 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.358 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.358 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.358 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.359 * [backup-simplify]: Simplify (+ 1 0) into 1 11.359 * [backup-simplify]: Simplify (sqrt 1) into 1 11.359 * [backup-simplify]: Simplify (+ 0 0) into 0 11.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.360 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.360 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.360 * [taylor]: Taking taylor expansion of 1 in U 11.360 * [backup-simplify]: Simplify 1 into 1 11.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.360 * [taylor]: Taking taylor expansion of 1/4 in U 11.360 * [backup-simplify]: Simplify 1/4 into 1/4 11.360 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.360 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.360 * [taylor]: Taking taylor expansion of J in U 11.360 * [backup-simplify]: Simplify J into J 11.360 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.360 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.361 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.361 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.361 * [taylor]: Taking taylor expansion of -1/2 in U 11.361 * [backup-simplify]: Simplify -1/2 into -1/2 11.361 * [taylor]: Taking taylor expansion of K in U 11.361 * [backup-simplify]: Simplify K into K 11.361 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.361 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.361 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.361 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.361 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.361 * [backup-simplify]: Simplify (- 0) into 0 11.361 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.361 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.361 * [taylor]: Taking taylor expansion of U in U 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 1 into 1 11.362 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.362 * [backup-simplify]: Simplify (* 1 1) into 1 11.362 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.363 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.363 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.363 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.363 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.363 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.364 * [backup-simplify]: Simplify (+ 0) into 0 11.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.367 * [backup-simplify]: Simplify (- 0) into 0 11.367 * [backup-simplify]: Simplify (+ 0 0) into 0 11.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.368 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.368 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.369 * [backup-simplify]: Simplify (+ 0 0) into 0 11.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.370 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.370 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.370 * [taylor]: Taking taylor expansion of 1 in U 11.370 * [backup-simplify]: Simplify 1 into 1 11.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.370 * [taylor]: Taking taylor expansion of 1/4 in U 11.370 * [backup-simplify]: Simplify 1/4 into 1/4 11.370 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.370 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.370 * [taylor]: Taking taylor expansion of J in U 11.370 * [backup-simplify]: Simplify J into J 11.370 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.370 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.370 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.370 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.370 * [taylor]: Taking taylor expansion of -1/2 in U 11.370 * [backup-simplify]: Simplify -1/2 into -1/2 11.370 * [taylor]: Taking taylor expansion of K in U 11.370 * [backup-simplify]: Simplify K into K 11.370 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.370 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.370 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.370 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.371 * [backup-simplify]: Simplify (- 0) into 0 11.371 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.371 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.371 * [taylor]: Taking taylor expansion of U in U 11.371 * [backup-simplify]: Simplify 0 into 0 11.371 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.371 * [backup-simplify]: Simplify (* 1 1) into 1 11.372 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.372 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.372 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.372 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.373 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.373 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.374 * [backup-simplify]: Simplify (+ 0) into 0 11.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.375 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.376 * [backup-simplify]: Simplify (- 0) into 0 11.376 * [backup-simplify]: Simplify (+ 0 0) into 0 11.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.377 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.378 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.379 * [taylor]: Taking taylor expansion of 1/2 in J 11.379 * [backup-simplify]: Simplify 1/2 into 1/2 11.379 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.379 * [taylor]: Taking taylor expansion of J in J 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 1 into 1 11.379 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.379 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.379 * [taylor]: Taking taylor expansion of -1/2 in J 11.379 * [backup-simplify]: Simplify -1/2 into -1/2 11.379 * [taylor]: Taking taylor expansion of K in J 11.379 * [backup-simplify]: Simplify K into K 11.380 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.380 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.380 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.380 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.380 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.381 * [backup-simplify]: Simplify (- 0) into 0 11.381 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.381 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.381 * [taylor]: Taking taylor expansion of 0 in J 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [taylor]: Taking taylor expansion of 0 in K 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.381 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 11.381 * [taylor]: Taking taylor expansion of 1/2 in K 11.381 * [backup-simplify]: Simplify 1/2 into 1/2 11.381 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.381 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.381 * [taylor]: Taking taylor expansion of -1/2 in K 11.381 * [backup-simplify]: Simplify -1/2 into -1/2 11.381 * [taylor]: Taking taylor expansion of K in K 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 1 into 1 11.382 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.382 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.382 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.382 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.383 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.387 * [backup-simplify]: Simplify (- 0) into 0 11.387 * [backup-simplify]: Simplify (+ 0 0) into 0 11.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.389 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.389 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.390 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.391 * [backup-simplify]: Simplify (+ 1 0) into 1 11.392 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.392 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.392 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.392 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.392 * [taylor]: Taking taylor expansion of -1/2 in J 11.392 * [backup-simplify]: Simplify -1/2 into -1/2 11.392 * [taylor]: Taking taylor expansion of K in J 11.392 * [backup-simplify]: Simplify K into K 11.392 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.392 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.392 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.392 * [taylor]: Taking taylor expansion of J in J 11.392 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify 1 into 1 11.392 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.392 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.392 * [backup-simplify]: Simplify (- 0) into 0 11.393 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.393 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.393 * [backup-simplify]: Simplify (+ 0) into 0 11.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.394 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.395 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.395 * [backup-simplify]: Simplify (- 0) into 0 11.396 * [backup-simplify]: Simplify (+ 0 0) into 0 11.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.396 * [taylor]: Taking taylor expansion of 0 in K 11.396 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [taylor]: Taking taylor expansion of 0 in K 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify (+ 0) into 0 11.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.398 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.399 * [backup-simplify]: Simplify (- 0) into 0 11.399 * [backup-simplify]: Simplify (+ 0 0) into 0 11.400 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.400 * [taylor]: Taking taylor expansion of 0 in K 11.400 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.403 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.404 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.413 * [backup-simplify]: Simplify (- 0) into 0 11.413 * [backup-simplify]: Simplify (+ 0 0) into 0 11.414 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 11.415 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.416 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.418 * [backup-simplify]: Simplify (+ 0 0) into 0 11.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 11.418 * [taylor]: Taking taylor expansion of 0 in J 11.418 * [backup-simplify]: Simplify 0 into 0 11.418 * [taylor]: Taking taylor expansion of 0 in K 11.418 * [backup-simplify]: Simplify 0 into 0 11.418 * [backup-simplify]: Simplify 0 into 0 11.419 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.419 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 11.419 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 11.419 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 11.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.420 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.420 * [taylor]: Taking taylor expansion of 1/4 in K 11.420 * [backup-simplify]: Simplify 1/4 into 1/4 11.420 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.420 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.420 * [taylor]: Taking taylor expansion of U in K 11.420 * [backup-simplify]: Simplify U into U 11.420 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.420 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.420 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.420 * [taylor]: Taking taylor expansion of 1/2 in K 11.420 * [backup-simplify]: Simplify 1/2 into 1/2 11.420 * [taylor]: Taking taylor expansion of K in K 11.420 * [backup-simplify]: Simplify 0 into 0 11.420 * [backup-simplify]: Simplify 1 into 1 11.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.422 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.422 * [taylor]: Taking taylor expansion of J in K 11.422 * [backup-simplify]: Simplify J into J 11.422 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.422 * [backup-simplify]: Simplify (* 1 1) into 1 11.422 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.423 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.423 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.423 * [taylor]: Taking taylor expansion of 1 in K 11.423 * [backup-simplify]: Simplify 1 into 1 11.423 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.423 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.424 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.424 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.424 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.424 * [backup-simplify]: Simplify (+ 0) into 0 11.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 11.426 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 11.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 11.427 * [backup-simplify]: Simplify (+ 0 0) into 0 11.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 11.427 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.427 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.427 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.427 * [taylor]: Taking taylor expansion of 1/4 in J 11.427 * [backup-simplify]: Simplify 1/4 into 1/4 11.427 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.427 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.428 * [taylor]: Taking taylor expansion of U in J 11.428 * [backup-simplify]: Simplify U into U 11.428 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.428 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.428 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.428 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.428 * [taylor]: Taking taylor expansion of 1/2 in J 11.428 * [backup-simplify]: Simplify 1/2 into 1/2 11.428 * [taylor]: Taking taylor expansion of K in J 11.428 * [backup-simplify]: Simplify K into K 11.428 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.428 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.428 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.428 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.428 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.429 * [backup-simplify]: Simplify (- 0) into 0 11.429 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.429 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.429 * [taylor]: Taking taylor expansion of J in J 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.429 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.429 * [backup-simplify]: Simplify (* 1 1) into 1 11.430 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.430 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.430 * [taylor]: Taking taylor expansion of 1 in J 11.430 * [backup-simplify]: Simplify 1 into 1 11.431 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.431 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.431 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 11.431 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.433 * [backup-simplify]: Simplify (+ 0) into 0 11.433 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.435 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.435 * [backup-simplify]: Simplify (- 0) into 0 11.436 * [backup-simplify]: Simplify (+ 0 0) into 0 11.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.437 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.437 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 11.438 * [backup-simplify]: Simplify (+ 0 0) into 0 11.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 11.439 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.439 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.439 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.439 * [taylor]: Taking taylor expansion of 1/4 in U 11.439 * [backup-simplify]: Simplify 1/4 into 1/4 11.439 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.439 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.439 * [taylor]: Taking taylor expansion of U in U 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 1 into 1 11.439 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.439 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.439 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.439 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.439 * [taylor]: Taking taylor expansion of 1/2 in U 11.439 * [backup-simplify]: Simplify 1/2 into 1/2 11.439 * [taylor]: Taking taylor expansion of K in U 11.439 * [backup-simplify]: Simplify K into K 11.439 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.439 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.439 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.439 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.440 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.440 * [backup-simplify]: Simplify (- 0) into 0 11.440 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.440 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.441 * [taylor]: Taking taylor expansion of J in U 11.441 * [backup-simplify]: Simplify J into J 11.441 * [backup-simplify]: Simplify (* 1 1) into 1 11.441 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.441 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.441 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.442 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.442 * [taylor]: Taking taylor expansion of 1 in U 11.442 * [backup-simplify]: Simplify 1 into 1 11.442 * [backup-simplify]: Simplify (+ 0 1) into 1 11.443 * [backup-simplify]: Simplify (sqrt 1) into 1 11.443 * [backup-simplify]: Simplify (+ 0 0) into 0 11.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.444 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.444 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.444 * [taylor]: Taking taylor expansion of 1/4 in U 11.444 * [backup-simplify]: Simplify 1/4 into 1/4 11.444 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.444 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.444 * [taylor]: Taking taylor expansion of U in U 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.444 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.444 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.444 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.444 * [taylor]: Taking taylor expansion of 1/2 in U 11.444 * [backup-simplify]: Simplify 1/2 into 1/2 11.444 * [taylor]: Taking taylor expansion of K in U 11.444 * [backup-simplify]: Simplify K into K 11.444 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.445 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.445 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.445 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.445 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.445 * [backup-simplify]: Simplify (- 0) into 0 11.445 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.445 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.445 * [taylor]: Taking taylor expansion of J in U 11.445 * [backup-simplify]: Simplify J into J 11.446 * [backup-simplify]: Simplify (* 1 1) into 1 11.446 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.446 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.446 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.446 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.447 * [taylor]: Taking taylor expansion of 1 in U 11.447 * [backup-simplify]: Simplify 1 into 1 11.447 * [backup-simplify]: Simplify (+ 0 1) into 1 11.447 * [backup-simplify]: Simplify (sqrt 1) into 1 11.448 * [backup-simplify]: Simplify (+ 0 0) into 0 11.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.449 * [taylor]: Taking taylor expansion of 1 in J 11.449 * [backup-simplify]: Simplify 1 into 1 11.449 * [taylor]: Taking taylor expansion of 0 in J 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [taylor]: Taking taylor expansion of 1 in K 11.449 * [backup-simplify]: Simplify 1 into 1 11.449 * [backup-simplify]: Simplify 1 into 1 11.449 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.450 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.451 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.451 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.451 * [taylor]: Taking taylor expansion of 1/8 in J 11.451 * [backup-simplify]: Simplify 1/8 into 1/8 11.451 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.451 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.451 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.451 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.451 * [taylor]: Taking taylor expansion of 1/2 in J 11.451 * [backup-simplify]: Simplify 1/2 into 1/2 11.451 * [taylor]: Taking taylor expansion of K in J 11.451 * [backup-simplify]: Simplify K into K 11.452 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.452 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.452 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.452 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.452 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.452 * [backup-simplify]: Simplify (- 0) into 0 11.452 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.452 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.452 * [taylor]: Taking taylor expansion of J in J 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 1 into 1 11.453 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.453 * [backup-simplify]: Simplify (* 1 1) into 1 11.453 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.453 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 11.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.454 * [backup-simplify]: Simplify (+ 0) into 0 11.455 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.457 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.457 * [backup-simplify]: Simplify (- 0) into 0 11.458 * [backup-simplify]: Simplify (+ 0 0) into 0 11.458 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.458 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.459 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.459 * [taylor]: Taking taylor expansion of 0 in K 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [taylor]: Taking taylor expansion of 0 in K 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [taylor]: Taking taylor expansion of 0 in K 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.460 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.460 * [backup-simplify]: Simplify (+ 0) into 0 11.461 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.463 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.463 * [backup-simplify]: Simplify (- 0) into 0 11.463 * [backup-simplify]: Simplify (+ 0 0) into 0 11.464 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.464 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 11.465 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 11.465 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 11.466 * [backup-simplify]: Simplify (+ 0 0) into 0 11.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 11.466 * [taylor]: Taking taylor expansion of 0 in J 11.466 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.469 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.471 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.471 * [backup-simplify]: Simplify (- 0) into 0 11.471 * [backup-simplify]: Simplify (+ 0 0) into 0 11.472 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.472 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.473 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.473 * [taylor]: Taking taylor expansion of 0 in K 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [taylor]: Taking taylor expansion of 0 in K 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 1 into 1 11.473 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.473 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 11.473 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.473 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.473 * [taylor]: Taking taylor expansion of 1/4 in K 11.473 * [backup-simplify]: Simplify 1/4 into 1/4 11.473 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.473 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.473 * [taylor]: Taking taylor expansion of J in K 11.473 * [backup-simplify]: Simplify J into J 11.473 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.473 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.473 * [taylor]: Taking taylor expansion of U in K 11.473 * [backup-simplify]: Simplify U into U 11.473 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.473 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.473 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.473 * [taylor]: Taking taylor expansion of 1/2 in K 11.473 * [backup-simplify]: Simplify 1/2 into 1/2 11.473 * [taylor]: Taking taylor expansion of K in K 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 1 into 1 11.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.474 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.474 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.474 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.474 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.474 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.474 * [taylor]: Taking taylor expansion of 1 in K 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.475 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.475 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.475 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.475 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.475 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.476 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.477 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.477 * [backup-simplify]: Simplify (+ 0 0) into 0 11.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 11.477 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.477 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.477 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.477 * [taylor]: Taking taylor expansion of 1/4 in J 11.477 * [backup-simplify]: Simplify 1/4 into 1/4 11.477 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.477 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.477 * [taylor]: Taking taylor expansion of J in J 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 1 into 1 11.477 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.477 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.477 * [taylor]: Taking taylor expansion of U in J 11.478 * [backup-simplify]: Simplify U into U 11.478 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.478 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.478 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.478 * [taylor]: Taking taylor expansion of 1/2 in J 11.478 * [backup-simplify]: Simplify 1/2 into 1/2 11.478 * [taylor]: Taking taylor expansion of K in J 11.478 * [backup-simplify]: Simplify K into K 11.478 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.478 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.478 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.478 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.478 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.478 * [backup-simplify]: Simplify (- 0) into 0 11.478 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.479 * [backup-simplify]: Simplify (* 1 1) into 1 11.479 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.479 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.479 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.479 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.479 * [taylor]: Taking taylor expansion of 1 in J 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [backup-simplify]: Simplify (+ 0 1) into 1 11.480 * [backup-simplify]: Simplify (sqrt 1) into 1 11.480 * [backup-simplify]: Simplify (+ 0 0) into 0 11.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.481 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.481 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.481 * [taylor]: Taking taylor expansion of 1/4 in U 11.481 * [backup-simplify]: Simplify 1/4 into 1/4 11.481 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.481 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.481 * [taylor]: Taking taylor expansion of J in U 11.481 * [backup-simplify]: Simplify J into J 11.481 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.481 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.481 * [taylor]: Taking taylor expansion of U in U 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.481 * [taylor]: Taking taylor expansion of 1/2 in U 11.481 * [backup-simplify]: Simplify 1/2 into 1/2 11.481 * [taylor]: Taking taylor expansion of K in U 11.481 * [backup-simplify]: Simplify K into K 11.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.481 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.481 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.482 * [backup-simplify]: Simplify (- 0) into 0 11.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.482 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.482 * [backup-simplify]: Simplify (* 1 1) into 1 11.482 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.482 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.482 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.482 * [taylor]: Taking taylor expansion of 1 in U 11.482 * [backup-simplify]: Simplify 1 into 1 11.483 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.483 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.483 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.483 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.483 * [backup-simplify]: Simplify (+ 0) into 0 11.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.485 * [backup-simplify]: Simplify (- 0) into 0 11.485 * [backup-simplify]: Simplify (+ 0 0) into 0 11.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.486 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.487 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.487 * [backup-simplify]: Simplify (+ 0 0) into 0 11.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.487 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.487 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.487 * [taylor]: Taking taylor expansion of 1/4 in U 11.487 * [backup-simplify]: Simplify 1/4 into 1/4 11.487 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.487 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.487 * [taylor]: Taking taylor expansion of J in U 11.487 * [backup-simplify]: Simplify J into J 11.487 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.487 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.487 * [taylor]: Taking taylor expansion of U in U 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.487 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.487 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.487 * [taylor]: Taking taylor expansion of 1/2 in U 11.487 * [backup-simplify]: Simplify 1/2 into 1/2 11.487 * [taylor]: Taking taylor expansion of K in U 11.487 * [backup-simplify]: Simplify K into K 11.487 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.487 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.488 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.488 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.488 * [backup-simplify]: Simplify (- 0) into 0 11.488 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.488 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.488 * [backup-simplify]: Simplify (* 1 1) into 1 11.488 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.488 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.489 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.489 * [taylor]: Taking taylor expansion of 1 in U 11.489 * [backup-simplify]: Simplify 1 into 1 11.489 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.489 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.489 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.489 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.489 * [backup-simplify]: Simplify (+ 0) into 0 11.490 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.491 * [backup-simplify]: Simplify (- 0) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.492 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.493 * [backup-simplify]: Simplify (+ 0 0) into 0 11.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 11.493 * [taylor]: Taking taylor expansion of 1/2 in J 11.493 * [backup-simplify]: Simplify 1/2 into 1/2 11.493 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 11.493 * [taylor]: Taking taylor expansion of J in J 11.493 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify 1 into 1 11.493 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.493 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.493 * [taylor]: Taking taylor expansion of 1/2 in J 11.493 * [backup-simplify]: Simplify 1/2 into 1/2 11.493 * [taylor]: Taking taylor expansion of K in J 11.493 * [backup-simplify]: Simplify K into K 11.493 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.494 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.494 * [backup-simplify]: Simplify (- 0) into 0 11.494 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.494 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 11.494 * [taylor]: Taking taylor expansion of 0 in J 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [taylor]: Taking taylor expansion of 0 in K 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 11.494 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 11.494 * [taylor]: Taking taylor expansion of 1/2 in K 11.494 * [backup-simplify]: Simplify 1/2 into 1/2 11.494 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.494 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.494 * [taylor]: Taking taylor expansion of 1/2 in K 11.494 * [backup-simplify]: Simplify 1/2 into 1/2 11.494 * [taylor]: Taking taylor expansion of K in K 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify 1 into 1 11.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.495 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.495 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.495 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.495 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.497 * [backup-simplify]: Simplify (- 0) into 0 11.498 * [backup-simplify]: Simplify (+ 0 0) into 0 11.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.500 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.501 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.502 * [backup-simplify]: Simplify (+ 0 1) into 1 11.503 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 11.503 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 11.503 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.503 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.503 * [taylor]: Taking taylor expansion of 1/2 in J 11.503 * [backup-simplify]: Simplify 1/2 into 1/2 11.503 * [taylor]: Taking taylor expansion of K in J 11.503 * [backup-simplify]: Simplify K into K 11.503 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.503 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.503 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.503 * [taylor]: Taking taylor expansion of J in J 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.503 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.504 * [backup-simplify]: Simplify (- 0) into 0 11.504 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.504 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.504 * [backup-simplify]: Simplify (+ 0) into 0 11.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.506 * [backup-simplify]: Simplify (- 0) into 0 11.507 * [backup-simplify]: Simplify (+ 0 0) into 0 11.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.508 * [taylor]: Taking taylor expansion of 0 in K 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [taylor]: Taking taylor expansion of 0 in K 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify (+ 0) into 0 11.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.510 * [backup-simplify]: Simplify (- 0) into 0 11.511 * [backup-simplify]: Simplify (+ 0 0) into 0 11.511 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.512 * [taylor]: Taking taylor expansion of 0 in K 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.518 * [backup-simplify]: Simplify (- 0) into 0 11.518 * [backup-simplify]: Simplify (+ 0 0) into 0 11.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 11.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.523 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.524 * [backup-simplify]: Simplify (+ 0 0) into 0 11.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 11.524 * [taylor]: Taking taylor expansion of 0 in J 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [taylor]: Taking taylor expansion of 0 in K 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.524 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.524 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 11.524 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.524 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.524 * [taylor]: Taking taylor expansion of 1 in K 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.525 * [taylor]: Taking taylor expansion of 1/4 in K 11.525 * [backup-simplify]: Simplify 1/4 into 1/4 11.525 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.525 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.525 * [taylor]: Taking taylor expansion of J in K 11.525 * [backup-simplify]: Simplify J into J 11.525 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.525 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.525 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.525 * [taylor]: Taking taylor expansion of -1/2 in K 11.525 * [backup-simplify]: Simplify -1/2 into -1/2 11.525 * [taylor]: Taking taylor expansion of K in K 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.525 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.525 * [taylor]: Taking taylor expansion of U in K 11.525 * [backup-simplify]: Simplify U into U 11.525 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.525 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.525 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.525 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.526 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.526 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.526 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.526 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.527 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.527 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.527 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.527 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.528 * [backup-simplify]: Simplify (+ 0 0) into 0 11.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.528 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.529 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.529 * [taylor]: Taking taylor expansion of 1 in J 11.529 * [backup-simplify]: Simplify 1 into 1 11.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.529 * [taylor]: Taking taylor expansion of 1/4 in J 11.529 * [backup-simplify]: Simplify 1/4 into 1/4 11.529 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.529 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.529 * [taylor]: Taking taylor expansion of J in J 11.529 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify 1 into 1 11.529 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.529 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.529 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.529 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.529 * [taylor]: Taking taylor expansion of -1/2 in J 11.529 * [backup-simplify]: Simplify -1/2 into -1/2 11.529 * [taylor]: Taking taylor expansion of K in J 11.529 * [backup-simplify]: Simplify K into K 11.529 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.529 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.529 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.529 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.529 * [backup-simplify]: Simplify (- 0) into 0 11.529 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.529 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.529 * [taylor]: Taking taylor expansion of U in J 11.529 * [backup-simplify]: Simplify U into U 11.530 * [backup-simplify]: Simplify (* 1 1) into 1 11.530 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.530 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.530 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.530 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.530 * [backup-simplify]: Simplify (+ 1 0) into 1 11.531 * [backup-simplify]: Simplify (sqrt 1) into 1 11.531 * [backup-simplify]: Simplify (+ 0 0) into 0 11.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.531 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.531 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.531 * [taylor]: Taking taylor expansion of 1 in U 11.531 * [backup-simplify]: Simplify 1 into 1 11.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.531 * [taylor]: Taking taylor expansion of 1/4 in U 11.531 * [backup-simplify]: Simplify 1/4 into 1/4 11.531 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.531 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.532 * [taylor]: Taking taylor expansion of J in U 11.532 * [backup-simplify]: Simplify J into J 11.532 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.532 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.532 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.532 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.532 * [taylor]: Taking taylor expansion of -1/2 in U 11.532 * [backup-simplify]: Simplify -1/2 into -1/2 11.532 * [taylor]: Taking taylor expansion of K in U 11.532 * [backup-simplify]: Simplify K into K 11.532 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.532 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.532 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.532 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.532 * [backup-simplify]: Simplify (- 0) into 0 11.532 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.532 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.532 * [taylor]: Taking taylor expansion of U in U 11.532 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify 1 into 1 11.532 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.533 * [backup-simplify]: Simplify (* 1 1) into 1 11.533 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.533 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.533 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.533 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.533 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.534 * [backup-simplify]: Simplify (+ 0) into 0 11.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.536 * [backup-simplify]: Simplify (- 0) into 0 11.536 * [backup-simplify]: Simplify (+ 0 0) into 0 11.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.536 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.537 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.537 * [backup-simplify]: Simplify (+ 0 0) into 0 11.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.538 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.538 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.538 * [taylor]: Taking taylor expansion of 1 in U 11.538 * [backup-simplify]: Simplify 1 into 1 11.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.538 * [taylor]: Taking taylor expansion of 1/4 in U 11.538 * [backup-simplify]: Simplify 1/4 into 1/4 11.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.538 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.538 * [taylor]: Taking taylor expansion of J in U 11.538 * [backup-simplify]: Simplify J into J 11.538 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.538 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.538 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.538 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.538 * [taylor]: Taking taylor expansion of -1/2 in U 11.538 * [backup-simplify]: Simplify -1/2 into -1/2 11.538 * [taylor]: Taking taylor expansion of K in U 11.538 * [backup-simplify]: Simplify K into K 11.538 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.538 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.538 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.538 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.538 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.539 * [backup-simplify]: Simplify (- 0) into 0 11.539 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.539 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.539 * [taylor]: Taking taylor expansion of U in U 11.539 * [backup-simplify]: Simplify 0 into 0 11.539 * [backup-simplify]: Simplify 1 into 1 11.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.539 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.539 * [backup-simplify]: Simplify (* 1 1) into 1 11.539 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.539 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.539 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.540 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.540 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.540 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.541 * [backup-simplify]: Simplify (+ 0) into 0 11.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.545 * [backup-simplify]: Simplify (- 0) into 0 11.545 * [backup-simplify]: Simplify (+ 0 0) into 0 11.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.546 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.546 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.547 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.547 * [backup-simplify]: Simplify (+ 0 0) into 0 11.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.547 * [taylor]: Taking taylor expansion of 1/2 in J 11.547 * [backup-simplify]: Simplify 1/2 into 1/2 11.547 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.547 * [taylor]: Taking taylor expansion of J in J 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 1 into 1 11.547 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.547 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.547 * [taylor]: Taking taylor expansion of -1/2 in J 11.547 * [backup-simplify]: Simplify -1/2 into -1/2 11.547 * [taylor]: Taking taylor expansion of K in J 11.547 * [backup-simplify]: Simplify K into K 11.547 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.547 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.548 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.548 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.548 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.548 * [backup-simplify]: Simplify (- 0) into 0 11.548 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.548 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.548 * [taylor]: Taking taylor expansion of 0 in J 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [taylor]: Taking taylor expansion of 0 in K 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.548 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 11.548 * [taylor]: Taking taylor expansion of 1/2 in K 11.548 * [backup-simplify]: Simplify 1/2 into 1/2 11.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.548 * [taylor]: Taking taylor expansion of -1/2 in K 11.548 * [backup-simplify]: Simplify -1/2 into -1/2 11.548 * [taylor]: Taking taylor expansion of K in K 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 1 into 1 11.549 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.549 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.549 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.549 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.553 * [backup-simplify]: Simplify (- 0) into 0 11.553 * [backup-simplify]: Simplify (+ 0 0) into 0 11.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.555 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.555 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.557 * [backup-simplify]: Simplify (+ 1 0) into 1 11.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.558 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.558 * [taylor]: Taking taylor expansion of -1/2 in J 11.558 * [backup-simplify]: Simplify -1/2 into -1/2 11.558 * [taylor]: Taking taylor expansion of K in J 11.558 * [backup-simplify]: Simplify K into K 11.558 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.558 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.558 * [taylor]: Taking taylor expansion of J in J 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.559 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.559 * [backup-simplify]: Simplify (- 0) into 0 11.559 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.559 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.560 * [backup-simplify]: Simplify (+ 0) into 0 11.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.560 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.562 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.562 * [backup-simplify]: Simplify (- 0) into 0 11.562 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.563 * [taylor]: Taking taylor expansion of 0 in K 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [taylor]: Taking taylor expansion of 0 in K 11.563 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify (+ 0) into 0 11.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.566 * [backup-simplify]: Simplify (- 0) into 0 11.567 * [backup-simplify]: Simplify (+ 0 0) into 0 11.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.568 * [taylor]: Taking taylor expansion of 0 in K 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.568 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.575 * [backup-simplify]: Simplify (- 0) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 11.577 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.579 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.581 * [backup-simplify]: Simplify (+ 0 0) into 0 11.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 11.581 * [taylor]: Taking taylor expansion of 0 in J 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [taylor]: Taking taylor expansion of 0 in K 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 11.582 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 11.582 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 11.583 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.583 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.583 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.583 * [taylor]: Taking taylor expansion of 1/4 in K 11.583 * [backup-simplify]: Simplify 1/4 into 1/4 11.583 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.583 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.583 * [taylor]: Taking taylor expansion of U in K 11.583 * [backup-simplify]: Simplify U into U 11.583 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.583 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.583 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.583 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.583 * [taylor]: Taking taylor expansion of 1/2 in K 11.583 * [backup-simplify]: Simplify 1/2 into 1/2 11.583 * [taylor]: Taking taylor expansion of K in K 11.583 * [backup-simplify]: Simplify 0 into 0 11.583 * [backup-simplify]: Simplify 1 into 1 11.584 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.584 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.584 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.584 * [taylor]: Taking taylor expansion of J in K 11.584 * [backup-simplify]: Simplify J into J 11.584 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.585 * [backup-simplify]: Simplify (* 1 1) into 1 11.585 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.585 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.585 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.585 * [taylor]: Taking taylor expansion of 1 in K 11.585 * [backup-simplify]: Simplify 1 into 1 11.586 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.586 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.586 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.586 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.586 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.587 * [backup-simplify]: Simplify (+ 0) into 0 11.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 11.588 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 11.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 11.589 * [backup-simplify]: Simplify (+ 0 0) into 0 11.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 11.590 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.590 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.590 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.590 * [taylor]: Taking taylor expansion of 1/4 in J 11.590 * [backup-simplify]: Simplify 1/4 into 1/4 11.590 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.590 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.590 * [taylor]: Taking taylor expansion of U in J 11.590 * [backup-simplify]: Simplify U into U 11.590 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.590 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.590 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.590 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.590 * [taylor]: Taking taylor expansion of 1/2 in J 11.590 * [backup-simplify]: Simplify 1/2 into 1/2 11.590 * [taylor]: Taking taylor expansion of K in J 11.590 * [backup-simplify]: Simplify K into K 11.590 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.590 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.590 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.591 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.591 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.591 * [backup-simplify]: Simplify (- 0) into 0 11.591 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.591 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.591 * [taylor]: Taking taylor expansion of J in J 11.591 * [backup-simplify]: Simplify 0 into 0 11.591 * [backup-simplify]: Simplify 1 into 1 11.591 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.591 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.592 * [backup-simplify]: Simplify (* 1 1) into 1 11.592 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.592 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.592 * [taylor]: Taking taylor expansion of 1 in J 11.592 * [backup-simplify]: Simplify 1 into 1 11.593 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.593 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.593 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 11.593 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.595 * [backup-simplify]: Simplify (+ 0) into 0 11.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.597 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.597 * [backup-simplify]: Simplify (- 0) into 0 11.598 * [backup-simplify]: Simplify (+ 0 0) into 0 11.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.599 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.599 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 11.600 * [backup-simplify]: Simplify (+ 0 0) into 0 11.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 11.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.601 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.601 * [taylor]: Taking taylor expansion of 1/4 in U 11.601 * [backup-simplify]: Simplify 1/4 into 1/4 11.601 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.601 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.601 * [taylor]: Taking taylor expansion of U in U 11.601 * [backup-simplify]: Simplify 0 into 0 11.601 * [backup-simplify]: Simplify 1 into 1 11.601 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.601 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.601 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.601 * [taylor]: Taking taylor expansion of 1/2 in U 11.601 * [backup-simplify]: Simplify 1/2 into 1/2 11.601 * [taylor]: Taking taylor expansion of K in U 11.601 * [backup-simplify]: Simplify K into K 11.601 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.601 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.601 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.601 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.601 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.602 * [backup-simplify]: Simplify (- 0) into 0 11.602 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.602 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.602 * [taylor]: Taking taylor expansion of J in U 11.602 * [backup-simplify]: Simplify J into J 11.602 * [backup-simplify]: Simplify (* 1 1) into 1 11.603 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.603 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.603 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.603 * [taylor]: Taking taylor expansion of 1 in U 11.603 * [backup-simplify]: Simplify 1 into 1 11.604 * [backup-simplify]: Simplify (+ 0 1) into 1 11.604 * [backup-simplify]: Simplify (sqrt 1) into 1 11.605 * [backup-simplify]: Simplify (+ 0 0) into 0 11.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.605 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.605 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.605 * [taylor]: Taking taylor expansion of 1/4 in U 11.605 * [backup-simplify]: Simplify 1/4 into 1/4 11.605 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.605 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.606 * [taylor]: Taking taylor expansion of U in U 11.606 * [backup-simplify]: Simplify 0 into 0 11.606 * [backup-simplify]: Simplify 1 into 1 11.606 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.606 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.606 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.606 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.606 * [taylor]: Taking taylor expansion of 1/2 in U 11.606 * [backup-simplify]: Simplify 1/2 into 1/2 11.606 * [taylor]: Taking taylor expansion of K in U 11.606 * [backup-simplify]: Simplify K into K 11.606 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.606 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.606 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.606 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.606 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.607 * [backup-simplify]: Simplify (- 0) into 0 11.607 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.607 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.607 * [taylor]: Taking taylor expansion of J in U 11.607 * [backup-simplify]: Simplify J into J 11.607 * [backup-simplify]: Simplify (* 1 1) into 1 11.607 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.607 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.608 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.608 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.608 * [taylor]: Taking taylor expansion of 1 in U 11.608 * [backup-simplify]: Simplify 1 into 1 11.608 * [backup-simplify]: Simplify (+ 0 1) into 1 11.609 * [backup-simplify]: Simplify (sqrt 1) into 1 11.609 * [backup-simplify]: Simplify (+ 0 0) into 0 11.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.610 * [taylor]: Taking taylor expansion of 1 in J 11.610 * [backup-simplify]: Simplify 1 into 1 11.610 * [taylor]: Taking taylor expansion of 0 in J 11.610 * [backup-simplify]: Simplify 0 into 0 11.610 * [taylor]: Taking taylor expansion of 1 in K 11.610 * [backup-simplify]: Simplify 1 into 1 11.610 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.611 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.613 * [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))) 11.613 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.613 * [taylor]: Taking taylor expansion of 1/8 in J 11.613 * [backup-simplify]: Simplify 1/8 into 1/8 11.613 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.613 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.613 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.613 * [taylor]: Taking taylor expansion of 1/2 in J 11.613 * [backup-simplify]: Simplify 1/2 into 1/2 11.613 * [taylor]: Taking taylor expansion of K in J 11.613 * [backup-simplify]: Simplify K into K 11.613 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.613 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.613 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.614 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.614 * [backup-simplify]: Simplify (- 0) into 0 11.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.614 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.614 * [taylor]: Taking taylor expansion of J in J 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.615 * [backup-simplify]: Simplify (* 1 1) into 1 11.615 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.615 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.616 * [backup-simplify]: Simplify (+ 0) into 0 11.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.619 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.619 * [backup-simplify]: Simplify (- 0) into 0 11.619 * [backup-simplify]: Simplify (+ 0 0) into 0 11.620 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.620 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.621 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.621 * [taylor]: Taking taylor expansion of 0 in K 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [taylor]: Taking taylor expansion of 0 in K 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [taylor]: Taking taylor expansion of 0 in K 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.622 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.622 * [backup-simplify]: Simplify (+ 0) into 0 11.623 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.624 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.625 * [backup-simplify]: Simplify (- 0) into 0 11.625 * [backup-simplify]: Simplify (+ 0 0) into 0 11.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.626 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 11.626 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 11.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 11.628 * [backup-simplify]: Simplify (+ 0 0) into 0 11.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 11.628 * [taylor]: Taking taylor expansion of 0 in J 11.628 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.630 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.631 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.633 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.634 * [backup-simplify]: Simplify (- 0) into 0 11.634 * [backup-simplify]: Simplify (+ 0 0) into 0 11.635 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.635 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.636 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.636 * [taylor]: Taking taylor expansion of 0 in K 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [taylor]: Taking taylor expansion of 0 in K 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 1 into 1 11.637 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.637 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 11.637 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.637 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.637 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.637 * [taylor]: Taking taylor expansion of 1/4 in K 11.637 * [backup-simplify]: Simplify 1/4 into 1/4 11.637 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.637 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.637 * [taylor]: Taking taylor expansion of J in K 11.637 * [backup-simplify]: Simplify J into J 11.637 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.637 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.637 * [taylor]: Taking taylor expansion of U in K 11.637 * [backup-simplify]: Simplify U into U 11.637 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.637 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.637 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.637 * [taylor]: Taking taylor expansion of 1/2 in K 11.637 * [backup-simplify]: Simplify 1/2 into 1/2 11.637 * [taylor]: Taking taylor expansion of K in K 11.637 * [backup-simplify]: Simplify 0 into 0 11.637 * [backup-simplify]: Simplify 1 into 1 11.638 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.638 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.638 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.638 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.638 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.638 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.639 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.639 * [taylor]: Taking taylor expansion of 1 in K 11.639 * [backup-simplify]: Simplify 1 into 1 11.639 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.640 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.640 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.640 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.640 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.641 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.641 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.643 * [backup-simplify]: Simplify (+ 0 0) into 0 11.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 11.643 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.643 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.644 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.644 * [taylor]: Taking taylor expansion of 1/4 in J 11.644 * [backup-simplify]: Simplify 1/4 into 1/4 11.644 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.644 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.644 * [taylor]: Taking taylor expansion of J in J 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.644 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.644 * [taylor]: Taking taylor expansion of U in J 11.644 * [backup-simplify]: Simplify U into U 11.644 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.644 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.644 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.644 * [taylor]: Taking taylor expansion of 1/2 in J 11.644 * [backup-simplify]: Simplify 1/2 into 1/2 11.644 * [taylor]: Taking taylor expansion of K in J 11.644 * [backup-simplify]: Simplify K into K 11.644 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.644 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.644 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.644 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.645 * [backup-simplify]: Simplify (- 0) into 0 11.645 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.645 * [backup-simplify]: Simplify (* 1 1) into 1 11.645 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.646 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.646 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.646 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.646 * [taylor]: Taking taylor expansion of 1 in J 11.646 * [backup-simplify]: Simplify 1 into 1 11.647 * [backup-simplify]: Simplify (+ 0 1) into 1 11.647 * [backup-simplify]: Simplify (sqrt 1) into 1 11.647 * [backup-simplify]: Simplify (+ 0 0) into 0 11.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.648 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.648 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.648 * [taylor]: Taking taylor expansion of 1/4 in U 11.648 * [backup-simplify]: Simplify 1/4 into 1/4 11.648 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.648 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.648 * [taylor]: Taking taylor expansion of J in U 11.648 * [backup-simplify]: Simplify J into J 11.648 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.648 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.648 * [taylor]: Taking taylor expansion of U in U 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.649 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.649 * [taylor]: Taking taylor expansion of 1/2 in U 11.649 * [backup-simplify]: Simplify 1/2 into 1/2 11.649 * [taylor]: Taking taylor expansion of K in U 11.649 * [backup-simplify]: Simplify K into K 11.649 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.649 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.649 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.649 * [backup-simplify]: Simplify (- 0) into 0 11.649 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.650 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.650 * [backup-simplify]: Simplify (* 1 1) into 1 11.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.650 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.650 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.651 * [taylor]: Taking taylor expansion of 1 in U 11.651 * [backup-simplify]: Simplify 1 into 1 11.651 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.651 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.652 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.652 * [backup-simplify]: Simplify (+ 0) into 0 11.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.654 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.654 * [backup-simplify]: Simplify (- 0) into 0 11.655 * [backup-simplify]: Simplify (+ 0 0) into 0 11.655 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.657 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.658 * [backup-simplify]: Simplify (+ 0 0) into 0 11.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.658 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.658 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.658 * [taylor]: Taking taylor expansion of 1/4 in U 11.658 * [backup-simplify]: Simplify 1/4 into 1/4 11.658 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.658 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.658 * [taylor]: Taking taylor expansion of J in U 11.659 * [backup-simplify]: Simplify J into J 11.659 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.659 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.659 * [taylor]: Taking taylor expansion of U in U 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify 1 into 1 11.659 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.659 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.659 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.659 * [taylor]: Taking taylor expansion of 1/2 in U 11.659 * [backup-simplify]: Simplify 1/2 into 1/2 11.659 * [taylor]: Taking taylor expansion of K in U 11.659 * [backup-simplify]: Simplify K into K 11.659 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.659 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.659 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.659 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.659 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.660 * [backup-simplify]: Simplify (- 0) into 0 11.660 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.660 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.660 * [backup-simplify]: Simplify (* 1 1) into 1 11.660 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.661 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.661 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.661 * [taylor]: Taking taylor expansion of 1 in U 11.661 * [backup-simplify]: Simplify 1 into 1 11.662 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.662 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.662 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 11.662 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.663 * [backup-simplify]: Simplify (+ 0) into 0 11.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.665 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.665 * [backup-simplify]: Simplify (- 0) into 0 11.666 * [backup-simplify]: Simplify (+ 0 0) into 0 11.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.668 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.669 * [backup-simplify]: Simplify (+ 0 0) into 0 11.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 11.670 * [taylor]: Taking taylor expansion of 1/2 in J 11.670 * [backup-simplify]: Simplify 1/2 into 1/2 11.670 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 11.670 * [taylor]: Taking taylor expansion of J in J 11.670 * [backup-simplify]: Simplify 0 into 0 11.670 * [backup-simplify]: Simplify 1 into 1 11.670 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.670 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.670 * [taylor]: Taking taylor expansion of 1/2 in J 11.670 * [backup-simplify]: Simplify 1/2 into 1/2 11.670 * [taylor]: Taking taylor expansion of K in J 11.670 * [backup-simplify]: Simplify K into K 11.670 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.670 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.670 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.670 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.671 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.671 * [backup-simplify]: Simplify (- 0) into 0 11.671 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.671 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 11.671 * [taylor]: Taking taylor expansion of 0 in J 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [taylor]: Taking taylor expansion of 0 in K 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 11.672 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 11.672 * [taylor]: Taking taylor expansion of 1/2 in K 11.672 * [backup-simplify]: Simplify 1/2 into 1/2 11.672 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.672 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.672 * [taylor]: Taking taylor expansion of 1/2 in K 11.672 * [backup-simplify]: Simplify 1/2 into 1/2 11.672 * [taylor]: Taking taylor expansion of K in K 11.672 * [backup-simplify]: Simplify 0 into 0 11.672 * [backup-simplify]: Simplify 1 into 1 11.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.672 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.673 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 11.673 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.674 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.675 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.676 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.677 * [backup-simplify]: Simplify (- 0) into 0 11.677 * [backup-simplify]: Simplify (+ 0 0) into 0 11.678 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.680 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.682 * [backup-simplify]: Simplify (+ 0 1) into 1 11.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 11.683 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 11.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.683 * [taylor]: Taking taylor expansion of 1/2 in J 11.683 * [backup-simplify]: Simplify 1/2 into 1/2 11.683 * [taylor]: Taking taylor expansion of K in J 11.683 * [backup-simplify]: Simplify K into K 11.683 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.683 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.683 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.683 * [taylor]: Taking taylor expansion of J in J 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify 1 into 1 11.683 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.683 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.684 * [backup-simplify]: Simplify (- 0) into 0 11.684 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.684 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.684 * [backup-simplify]: Simplify (+ 0) into 0 11.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.687 * [backup-simplify]: Simplify (- 0) into 0 11.687 * [backup-simplify]: Simplify (+ 0 0) into 0 11.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.688 * [taylor]: Taking taylor expansion of 0 in K 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [taylor]: Taking taylor expansion of 0 in K 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.689 * [backup-simplify]: Simplify (+ 0) into 0 11.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.691 * [backup-simplify]: Simplify (- 0) into 0 11.691 * [backup-simplify]: Simplify (+ 0 0) into 0 11.692 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.692 * [taylor]: Taking taylor expansion of 0 in K 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.695 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.703 * [backup-simplify]: Simplify (- 0) into 0 11.703 * [backup-simplify]: Simplify (+ 0 0) into 0 11.704 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.708 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.709 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 11.710 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 11.710 * [taylor]: Taking taylor expansion of 0 in J 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [taylor]: Taking taylor expansion of 0 in K 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify 0 into 0 11.711 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.711 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.711 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 11.711 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.712 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.712 * [taylor]: Taking taylor expansion of 1 in K 11.712 * [backup-simplify]: Simplify 1 into 1 11.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.712 * [taylor]: Taking taylor expansion of 1/4 in K 11.712 * [backup-simplify]: Simplify 1/4 into 1/4 11.712 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.713 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.713 * [taylor]: Taking taylor expansion of J in K 11.713 * [backup-simplify]: Simplify J into J 11.713 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.713 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.713 * [taylor]: Taking taylor expansion of -1/2 in K 11.713 * [backup-simplify]: Simplify -1/2 into -1/2 11.713 * [taylor]: Taking taylor expansion of K in K 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 1 into 1 11.713 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.713 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.713 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.714 * [taylor]: Taking taylor expansion of U in K 11.714 * [backup-simplify]: Simplify U into U 11.714 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.714 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.714 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.714 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.715 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.715 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.716 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.716 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.716 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.716 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.717 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.718 * [backup-simplify]: Simplify (+ 0 0) into 0 11.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.719 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.719 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.719 * [taylor]: Taking taylor expansion of 1 in J 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.719 * [taylor]: Taking taylor expansion of 1/4 in J 11.719 * [backup-simplify]: Simplify 1/4 into 1/4 11.719 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.719 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.719 * [taylor]: Taking taylor expansion of J in J 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.719 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.719 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.719 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.719 * [taylor]: Taking taylor expansion of -1/2 in J 11.719 * [backup-simplify]: Simplify -1/2 into -1/2 11.719 * [taylor]: Taking taylor expansion of K in J 11.719 * [backup-simplify]: Simplify K into K 11.719 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.719 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.720 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.720 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.720 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.720 * [backup-simplify]: Simplify (- 0) into 0 11.720 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.720 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.720 * [taylor]: Taking taylor expansion of U in J 11.720 * [backup-simplify]: Simplify U into U 11.721 * [backup-simplify]: Simplify (* 1 1) into 1 11.721 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.721 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.721 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.721 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.722 * [backup-simplify]: Simplify (+ 1 0) into 1 11.722 * [backup-simplify]: Simplify (sqrt 1) into 1 11.723 * [backup-simplify]: Simplify (+ 0 0) into 0 11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.723 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.723 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.723 * [taylor]: Taking taylor expansion of 1 in U 11.723 * [backup-simplify]: Simplify 1 into 1 11.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.723 * [taylor]: Taking taylor expansion of 1/4 in U 11.723 * [backup-simplify]: Simplify 1/4 into 1/4 11.723 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.723 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.723 * [taylor]: Taking taylor expansion of J in U 11.724 * [backup-simplify]: Simplify J into J 11.724 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.724 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.724 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.724 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.724 * [taylor]: Taking taylor expansion of -1/2 in U 11.724 * [backup-simplify]: Simplify -1/2 into -1/2 11.724 * [taylor]: Taking taylor expansion of K in U 11.724 * [backup-simplify]: Simplify K into K 11.724 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.724 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.724 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.724 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.724 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.724 * [backup-simplify]: Simplify (- 0) into 0 11.725 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.725 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.725 * [taylor]: Taking taylor expansion of U in U 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 1 into 1 11.725 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.725 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.725 * [backup-simplify]: Simplify (* 1 1) into 1 11.725 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.726 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.726 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.726 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.726 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.726 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.727 * [backup-simplify]: Simplify (+ 0) into 0 11.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.728 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.729 * [backup-simplify]: Simplify (- 0) into 0 11.729 * [backup-simplify]: Simplify (+ 0 0) into 0 11.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.729 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.730 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.730 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.730 * [backup-simplify]: Simplify (+ 0 0) into 0 11.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.731 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.731 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.731 * [taylor]: Taking taylor expansion of 1 in U 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.731 * [taylor]: Taking taylor expansion of 1/4 in U 11.731 * [backup-simplify]: Simplify 1/4 into 1/4 11.731 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.731 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.731 * [taylor]: Taking taylor expansion of J in U 11.731 * [backup-simplify]: Simplify J into J 11.731 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.731 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.731 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.731 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.731 * [taylor]: Taking taylor expansion of -1/2 in U 11.731 * [backup-simplify]: Simplify -1/2 into -1/2 11.731 * [taylor]: Taking taylor expansion of K in U 11.731 * [backup-simplify]: Simplify K into K 11.731 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.731 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.731 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.731 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.731 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.731 * [backup-simplify]: Simplify (- 0) into 0 11.731 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.731 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.731 * [taylor]: Taking taylor expansion of U in U 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.732 * [backup-simplify]: Simplify (* 1 1) into 1 11.732 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.732 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.732 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.733 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.733 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.733 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.733 * [backup-simplify]: Simplify (+ 0) into 0 11.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.735 * [backup-simplify]: Simplify (- 0) into 0 11.735 * [backup-simplify]: Simplify (+ 0 0) into 0 11.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.736 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.736 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.737 * [backup-simplify]: Simplify (+ 0 0) into 0 11.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.737 * [taylor]: Taking taylor expansion of 1/2 in J 11.737 * [backup-simplify]: Simplify 1/2 into 1/2 11.737 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.737 * [taylor]: Taking taylor expansion of J in J 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.737 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.737 * [taylor]: Taking taylor expansion of -1/2 in J 11.737 * [backup-simplify]: Simplify -1/2 into -1/2 11.737 * [taylor]: Taking taylor expansion of K in J 11.737 * [backup-simplify]: Simplify K into K 11.737 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.737 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.737 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.737 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.737 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.738 * [backup-simplify]: Simplify (- 0) into 0 11.738 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.738 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.738 * [taylor]: Taking taylor expansion of 0 in J 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [taylor]: Taking taylor expansion of 0 in K 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.738 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 11.738 * [taylor]: Taking taylor expansion of 1/2 in K 11.738 * [backup-simplify]: Simplify 1/2 into 1/2 11.738 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.738 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.738 * [taylor]: Taking taylor expansion of -1/2 in K 11.738 * [backup-simplify]: Simplify -1/2 into -1/2 11.738 * [taylor]: Taking taylor expansion of K in K 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 1 into 1 11.738 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.738 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.738 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.738 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.739 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.742 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.742 * [backup-simplify]: Simplify (- 0) into 0 11.742 * [backup-simplify]: Simplify (+ 0 0) into 0 11.743 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.743 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.744 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.745 * [backup-simplify]: Simplify (+ 1 0) into 1 11.745 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.746 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.746 * [taylor]: Taking taylor expansion of -1/2 in J 11.746 * [backup-simplify]: Simplify -1/2 into -1/2 11.746 * [taylor]: Taking taylor expansion of K in J 11.746 * [backup-simplify]: Simplify K into K 11.746 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.746 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.746 * [taylor]: Taking taylor expansion of J in J 11.746 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify 1 into 1 11.746 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.746 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.746 * [backup-simplify]: Simplify (- 0) into 0 11.746 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.746 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.747 * [backup-simplify]: Simplify (+ 0) into 0 11.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.748 * [backup-simplify]: Simplify (- 0) into 0 11.748 * [backup-simplify]: Simplify (+ 0 0) into 0 11.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.749 * [taylor]: Taking taylor expansion of 0 in K 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [taylor]: Taking taylor expansion of 0 in K 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify (+ 0) into 0 11.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.750 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.751 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.751 * [backup-simplify]: Simplify (- 0) into 0 11.751 * [backup-simplify]: Simplify (+ 0 0) into 0 11.751 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.751 * [taylor]: Taking taylor expansion of 0 in K 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 11.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.753 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.754 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.756 * [backup-simplify]: Simplify (- 0) into 0 11.756 * [backup-simplify]: Simplify (+ 0 0) into 0 11.756 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 11.757 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.757 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.759 * [backup-simplify]: Simplify (+ 0 0) into 0 11.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 11.759 * [taylor]: Taking taylor expansion of 0 in J 11.759 * [backup-simplify]: Simplify 0 into 0 11.759 * [taylor]: Taking taylor expansion of 0 in K 11.759 * [backup-simplify]: Simplify 0 into 0 11.759 * [backup-simplify]: Simplify 0 into 0 11.760 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 11.760 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 11.760 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 11.760 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U J K) around 0 11.760 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 11.760 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.760 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.760 * [taylor]: Taking taylor expansion of 1/6 in K 11.760 * [backup-simplify]: Simplify 1/6 into 1/6 11.760 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.760 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.760 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.760 * [taylor]: Taking taylor expansion of 1/4 in K 11.761 * [backup-simplify]: Simplify 1/4 into 1/4 11.761 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.761 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.761 * [taylor]: Taking taylor expansion of U in K 11.761 * [backup-simplify]: Simplify U into U 11.761 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.761 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.761 * [taylor]: Taking taylor expansion of 1/2 in K 11.761 * [backup-simplify]: Simplify 1/2 into 1/2 11.761 * [taylor]: Taking taylor expansion of K in K 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.762 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.762 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.762 * [taylor]: Taking taylor expansion of J in K 11.762 * [backup-simplify]: Simplify J into J 11.762 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.763 * [backup-simplify]: Simplify (* 1 1) into 1 11.763 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.763 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.763 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.763 * [taylor]: Taking taylor expansion of 1 in K 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.764 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.764 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.764 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.765 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 11.765 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 11.765 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.765 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.765 * [taylor]: Taking taylor expansion of 1/6 in J 11.765 * [backup-simplify]: Simplify 1/6 into 1/6 11.765 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.765 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.765 * [taylor]: Taking taylor expansion of 1/4 in J 11.765 * [backup-simplify]: Simplify 1/4 into 1/4 11.765 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.765 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.765 * [taylor]: Taking taylor expansion of U in J 11.765 * [backup-simplify]: Simplify U into U 11.765 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.765 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.765 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.765 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.765 * [taylor]: Taking taylor expansion of 1/2 in J 11.765 * [backup-simplify]: Simplify 1/2 into 1/2 11.766 * [taylor]: Taking taylor expansion of K in J 11.766 * [backup-simplify]: Simplify K into K 11.766 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.766 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.766 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.766 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.766 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.766 * [backup-simplify]: Simplify (- 0) into 0 11.767 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.767 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.767 * [taylor]: Taking taylor expansion of J in J 11.767 * [backup-simplify]: Simplify 0 into 0 11.767 * [backup-simplify]: Simplify 1 into 1 11.767 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.767 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.767 * [backup-simplify]: Simplify (* 1 1) into 1 11.767 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.768 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.768 * [taylor]: Taking taylor expansion of 1 in J 11.768 * [backup-simplify]: Simplify 1 into 1 11.768 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.768 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.769 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.769 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.770 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.770 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.770 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 11.770 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.770 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.770 * [taylor]: Taking taylor expansion of 1/6 in U 11.770 * [backup-simplify]: Simplify 1/6 into 1/6 11.771 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.771 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.771 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.771 * [taylor]: Taking taylor expansion of 1/4 in U 11.771 * [backup-simplify]: Simplify 1/4 into 1/4 11.771 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.771 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.771 * [taylor]: Taking taylor expansion of U in U 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 1 into 1 11.771 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.771 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.771 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.771 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.771 * [taylor]: Taking taylor expansion of 1/2 in U 11.771 * [backup-simplify]: Simplify 1/2 into 1/2 11.771 * [taylor]: Taking taylor expansion of K in U 11.771 * [backup-simplify]: Simplify K into K 11.771 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.771 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.771 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.771 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.772 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.772 * [backup-simplify]: Simplify (- 0) into 0 11.772 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.772 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.773 * [taylor]: Taking taylor expansion of J in U 11.773 * [backup-simplify]: Simplify J into J 11.773 * [backup-simplify]: Simplify (* 1 1) into 1 11.773 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.773 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.773 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.774 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.774 * [taylor]: Taking taylor expansion of 1 in U 11.774 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (+ 0 1) into 1 11.775 * [backup-simplify]: Simplify (log 1) into 0 11.775 * [backup-simplify]: Simplify (* 1/6 0) into 0 11.775 * [backup-simplify]: Simplify (+ 0 0) into 0 11.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.778 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 11.778 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.778 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.782 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.782 * [backup-simplify]: Simplify (exp 0) into 1 11.782 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 11.782 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.782 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.782 * [taylor]: Taking taylor expansion of 1/6 in U 11.782 * [backup-simplify]: Simplify 1/6 into 1/6 11.782 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.782 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.782 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.782 * [taylor]: Taking taylor expansion of 1/4 in U 11.782 * [backup-simplify]: Simplify 1/4 into 1/4 11.782 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.782 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.782 * [taylor]: Taking taylor expansion of U in U 11.782 * [backup-simplify]: Simplify 0 into 0 11.782 * [backup-simplify]: Simplify 1 into 1 11.782 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.782 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.782 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.782 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.782 * [taylor]: Taking taylor expansion of 1/2 in U 11.782 * [backup-simplify]: Simplify 1/2 into 1/2 11.782 * [taylor]: Taking taylor expansion of K in U 11.782 * [backup-simplify]: Simplify K into K 11.782 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.783 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.783 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.783 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.783 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.783 * [backup-simplify]: Simplify (- 0) into 0 11.783 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.783 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.783 * [taylor]: Taking taylor expansion of J in U 11.783 * [backup-simplify]: Simplify J into J 11.784 * [backup-simplify]: Simplify (* 1 1) into 1 11.784 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.784 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.784 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.784 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.785 * [taylor]: Taking taylor expansion of 1 in U 11.785 * [backup-simplify]: Simplify 1 into 1 11.785 * [backup-simplify]: Simplify (+ 0 1) into 1 11.785 * [backup-simplify]: Simplify (log 1) into 0 11.786 * [backup-simplify]: Simplify (* 1/6 0) into 0 11.786 * [backup-simplify]: Simplify (+ 0 0) into 0 11.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.788 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 11.789 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.789 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.792 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.792 * [backup-simplify]: Simplify (exp 0) into 1 11.792 * [taylor]: Taking taylor expansion of 1 in J 11.792 * [backup-simplify]: Simplify 1 into 1 11.792 * [taylor]: Taking taylor expansion of 1 in K 11.793 * [backup-simplify]: Simplify 1 into 1 11.793 * [backup-simplify]: Simplify 1 into 1 11.794 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.794 * [taylor]: Taking taylor expansion of 0 in J 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [taylor]: Taking taylor expansion of 0 in K 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [taylor]: Taking taylor expansion of 0 in K 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.795 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.795 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.795 * [taylor]: Taking taylor expansion of 1/24 in J 11.795 * [backup-simplify]: Simplify 1/24 into 1/24 11.795 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.795 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.795 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.795 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.795 * [taylor]: Taking taylor expansion of 1/2 in J 11.795 * [backup-simplify]: Simplify 1/2 into 1/2 11.795 * [taylor]: Taking taylor expansion of K in J 11.795 * [backup-simplify]: Simplify K into K 11.795 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.795 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.795 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.795 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.796 * [backup-simplify]: Simplify (- 0) into 0 11.796 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.796 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.796 * [taylor]: Taking taylor expansion of J in J 11.796 * [backup-simplify]: Simplify 0 into 0 11.796 * [backup-simplify]: Simplify 1 into 1 11.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.796 * [backup-simplify]: Simplify (* 1 1) into 1 11.796 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.796 * [backup-simplify]: Simplify (/ 1/24 (pow (cos (* 1/2 K)) 2)) into (/ 1/24 (pow (cos (* 1/2 K)) 2)) 11.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.797 * [backup-simplify]: Simplify (+ 0) into 0 11.797 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.798 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.798 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.799 * [backup-simplify]: Simplify (- 0) into 0 11.799 * [backup-simplify]: Simplify (+ 0 0) into 0 11.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.802 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.802 * [backup-simplify]: Simplify (- 0) into 0 11.802 * [backup-simplify]: Simplify (+ 0 0) into 0 11.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.803 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.803 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.804 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.804 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.804 * [taylor]: Taking taylor expansion of 0 in K 11.804 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify 0 into 0 11.804 * [taylor]: Taking taylor expansion of 0 in K 11.804 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify 0 into 0 11.804 * [taylor]: Taking taylor expansion of 0 in K 11.804 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify 1 into 1 11.805 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 11.805 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U J K) around 0 11.805 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 11.805 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.805 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.805 * [taylor]: Taking taylor expansion of 1/6 in K 11.805 * [backup-simplify]: Simplify 1/6 into 1/6 11.805 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.805 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.805 * [taylor]: Taking taylor expansion of 1/4 in K 11.805 * [backup-simplify]: Simplify 1/4 into 1/4 11.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.805 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.805 * [taylor]: Taking taylor expansion of J in K 11.805 * [backup-simplify]: Simplify J into J 11.805 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.805 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.805 * [taylor]: Taking taylor expansion of U in K 11.805 * [backup-simplify]: Simplify U into U 11.805 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.805 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.805 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.805 * [taylor]: Taking taylor expansion of 1/2 in K 11.805 * [backup-simplify]: Simplify 1/2 into 1/2 11.805 * [taylor]: Taking taylor expansion of K in K 11.805 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify 1 into 1 11.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.805 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.805 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.806 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.806 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.806 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.806 * [taylor]: Taking taylor expansion of 1 in K 11.806 * [backup-simplify]: Simplify 1 into 1 11.806 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.807 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.807 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.807 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.808 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 11.808 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 11.808 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.808 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.808 * [taylor]: Taking taylor expansion of 1/6 in J 11.808 * [backup-simplify]: Simplify 1/6 into 1/6 11.808 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.808 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.808 * [taylor]: Taking taylor expansion of 1/4 in J 11.808 * [backup-simplify]: Simplify 1/4 into 1/4 11.808 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.808 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.808 * [taylor]: Taking taylor expansion of J in J 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify 1 into 1 11.808 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.808 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.808 * [taylor]: Taking taylor expansion of U in J 11.808 * [backup-simplify]: Simplify U into U 11.808 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.808 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.808 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.808 * [taylor]: Taking taylor expansion of 1/2 in J 11.808 * [backup-simplify]: Simplify 1/2 into 1/2 11.808 * [taylor]: Taking taylor expansion of K in J 11.808 * [backup-simplify]: Simplify K into K 11.808 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.808 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.808 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.808 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.809 * [backup-simplify]: Simplify (- 0) into 0 11.809 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.809 * [backup-simplify]: Simplify (* 1 1) into 1 11.809 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.809 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.809 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.809 * [taylor]: Taking taylor expansion of 1 in J 11.809 * [backup-simplify]: Simplify 1 into 1 11.810 * [backup-simplify]: Simplify (+ 0 1) into 1 11.810 * [backup-simplify]: Simplify (log 1) into 0 11.810 * [backup-simplify]: Simplify (* 1/6 0) into 0 11.811 * [backup-simplify]: Simplify (+ 0 0) into 0 11.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.812 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 11.812 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.812 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.814 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.814 * [backup-simplify]: Simplify (exp 0) into 1 11.814 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 11.814 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.814 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.814 * [taylor]: Taking taylor expansion of 1/6 in U 11.814 * [backup-simplify]: Simplify 1/6 into 1/6 11.814 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.814 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.814 * [taylor]: Taking taylor expansion of 1/4 in U 11.814 * [backup-simplify]: Simplify 1/4 into 1/4 11.814 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.814 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.814 * [taylor]: Taking taylor expansion of J in U 11.814 * [backup-simplify]: Simplify J into J 11.814 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.814 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.814 * [taylor]: Taking taylor expansion of U in U 11.814 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify 1 into 1 11.814 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.814 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.814 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.814 * [taylor]: Taking taylor expansion of 1/2 in U 11.814 * [backup-simplify]: Simplify 1/2 into 1/2 11.814 * [taylor]: Taking taylor expansion of K in U 11.814 * [backup-simplify]: Simplify K into K 11.814 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.815 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.815 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.815 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.815 * [backup-simplify]: Simplify (- 0) into 0 11.815 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.815 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.815 * [backup-simplify]: Simplify (* 1 1) into 1 11.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.815 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.816 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.816 * [taylor]: Taking taylor expansion of 1 in U 11.816 * [backup-simplify]: Simplify 1 into 1 11.816 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.816 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.816 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.817 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.817 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.817 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.817 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 11.817 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.817 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.817 * [taylor]: Taking taylor expansion of 1/6 in U 11.817 * [backup-simplify]: Simplify 1/6 into 1/6 11.817 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.817 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.817 * [taylor]: Taking taylor expansion of 1/4 in U 11.817 * [backup-simplify]: Simplify 1/4 into 1/4 11.817 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.817 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.817 * [taylor]: Taking taylor expansion of J in U 11.817 * [backup-simplify]: Simplify J into J 11.817 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.817 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.817 * [taylor]: Taking taylor expansion of U in U 11.817 * [backup-simplify]: Simplify 0 into 0 11.817 * [backup-simplify]: Simplify 1 into 1 11.817 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.817 * [taylor]: Taking taylor expansion of 1/2 in U 11.818 * [backup-simplify]: Simplify 1/2 into 1/2 11.818 * [taylor]: Taking taylor expansion of K in U 11.818 * [backup-simplify]: Simplify K into K 11.818 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.818 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.818 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.818 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.818 * [backup-simplify]: Simplify (- 0) into 0 11.818 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.818 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.818 * [backup-simplify]: Simplify (* 1 1) into 1 11.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.819 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.819 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.819 * [taylor]: Taking taylor expansion of 1 in U 11.819 * [backup-simplify]: Simplify 1 into 1 11.819 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.819 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.819 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.820 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.820 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.820 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.820 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.820 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.820 * [taylor]: Taking taylor expansion of 1/6 in J 11.820 * [backup-simplify]: Simplify 1/6 into 1/6 11.820 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.820 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.820 * [taylor]: Taking taylor expansion of 1/4 in J 11.820 * [backup-simplify]: Simplify 1/4 into 1/4 11.820 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.820 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.820 * [taylor]: Taking taylor expansion of J in J 11.820 * [backup-simplify]: Simplify 0 into 0 11.820 * [backup-simplify]: Simplify 1 into 1 11.820 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.821 * [taylor]: Taking taylor expansion of 1/2 in J 11.821 * [backup-simplify]: Simplify 1/2 into 1/2 11.821 * [taylor]: Taking taylor expansion of K in J 11.821 * [backup-simplify]: Simplify K into K 11.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.821 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.821 * [backup-simplify]: Simplify (- 0) into 0 11.821 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.821 * [backup-simplify]: Simplify (* 1 1) into 1 11.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.822 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.822 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.822 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.822 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.822 * [taylor]: Taking taylor expansion of 2 in J 11.822 * [backup-simplify]: Simplify 2 into 2 11.822 * [taylor]: Taking taylor expansion of (log U) in J 11.822 * [taylor]: Taking taylor expansion of U in J 11.822 * [backup-simplify]: Simplify U into U 11.822 * [backup-simplify]: Simplify (log U) into (log U) 11.823 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.823 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.823 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.823 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.824 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.824 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.824 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.824 * [taylor]: Taking taylor expansion of (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.824 * [taylor]: Taking taylor expansion of 1/6 in K 11.824 * [backup-simplify]: Simplify 1/6 into 1/6 11.824 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.824 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.824 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.825 * [taylor]: Taking taylor expansion of 2 in K 11.825 * [backup-simplify]: Simplify 2 into 2 11.825 * [taylor]: Taking taylor expansion of (log J) in K 11.825 * [taylor]: Taking taylor expansion of J in K 11.825 * [backup-simplify]: Simplify J into J 11.825 * [backup-simplify]: Simplify (log J) into (log J) 11.825 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.825 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.825 * [taylor]: Taking taylor expansion of 1/4 in K 11.825 * [backup-simplify]: Simplify 1/4 into 1/4 11.825 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.825 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.825 * [taylor]: Taking taylor expansion of 1/2 in K 11.825 * [backup-simplify]: Simplify 1/2 into 1/2 11.825 * [taylor]: Taking taylor expansion of K in K 11.825 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify 1 into 1 11.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.825 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.826 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.826 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.826 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.826 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.826 * [taylor]: Taking taylor expansion of 2 in K 11.826 * [backup-simplify]: Simplify 2 into 2 11.826 * [taylor]: Taking taylor expansion of (log U) in K 11.826 * [taylor]: Taking taylor expansion of U in K 11.826 * [backup-simplify]: Simplify U into U 11.826 * [backup-simplify]: Simplify (log U) into (log U) 11.826 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.826 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.827 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.827 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.827 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.827 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.828 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.828 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.829 * [backup-simplify]: Simplify (+ 0) into 0 11.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.829 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.836 * [backup-simplify]: Simplify (- 0) into 0 11.837 * [backup-simplify]: Simplify (+ 0 0) into 0 11.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.839 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.840 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.840 * [backup-simplify]: Simplify (+ 0 0) into 0 11.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.842 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.843 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.844 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.844 * [taylor]: Taking taylor expansion of 0 in J 11.844 * [backup-simplify]: Simplify 0 into 0 11.844 * [taylor]: Taking taylor expansion of 0 in K 11.844 * [backup-simplify]: Simplify 0 into 0 11.844 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.845 * [backup-simplify]: Simplify (+ 0) into 0 11.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.846 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.847 * [backup-simplify]: Simplify (- 0) into 0 11.847 * [backup-simplify]: Simplify (+ 0 0) into 0 11.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.848 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.849 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.850 * [backup-simplify]: Simplify (- 0) into 0 11.850 * [backup-simplify]: Simplify (+ 0 0) into 0 11.850 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.851 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.851 * [taylor]: Taking taylor expansion of 0 in K 11.851 * [backup-simplify]: Simplify 0 into 0 11.851 * [backup-simplify]: Simplify 0 into 0 11.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.852 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.852 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.853 * [backup-simplify]: Simplify (+ 0 0) into 0 11.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.854 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.854 * [backup-simplify]: Simplify (- 0) into 0 11.854 * [backup-simplify]: Simplify (+ 0 0) into 0 11.855 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.856 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.856 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.858 * [backup-simplify]: Simplify (- 0) into 0 11.858 * [backup-simplify]: Simplify (+ 0 0) into 0 11.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.860 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.861 * [backup-simplify]: Simplify (+ 0 1) into 1 11.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.863 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.864 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.864 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 11.865 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 11.865 * [taylor]: Taking taylor expansion of 2/3 in J 11.865 * [backup-simplify]: Simplify 2/3 into 2/3 11.865 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.865 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.865 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.865 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.865 * [taylor]: Taking taylor expansion of 1/6 in J 11.865 * [backup-simplify]: Simplify 1/6 into 1/6 11.865 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.865 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.865 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.865 * [taylor]: Taking taylor expansion of 1/4 in J 11.865 * [backup-simplify]: Simplify 1/4 into 1/4 11.865 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.865 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.865 * [taylor]: Taking taylor expansion of J in J 11.865 * [backup-simplify]: Simplify 0 into 0 11.865 * [backup-simplify]: Simplify 1 into 1 11.865 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.865 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.865 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.865 * [taylor]: Taking taylor expansion of 1/2 in J 11.865 * [backup-simplify]: Simplify 1/2 into 1/2 11.865 * [taylor]: Taking taylor expansion of K in J 11.865 * [backup-simplify]: Simplify K into K 11.865 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.865 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.865 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.865 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.865 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.865 * [backup-simplify]: Simplify (- 0) into 0 11.866 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.866 * [backup-simplify]: Simplify (* 1 1) into 1 11.866 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.866 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.866 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.866 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.866 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.866 * [taylor]: Taking taylor expansion of 2 in J 11.866 * [backup-simplify]: Simplify 2 into 2 11.866 * [taylor]: Taking taylor expansion of (log U) in J 11.866 * [taylor]: Taking taylor expansion of U in J 11.866 * [backup-simplify]: Simplify U into U 11.866 * [backup-simplify]: Simplify (log U) into (log U) 11.867 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.867 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.867 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.867 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.867 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.867 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.868 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.868 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.868 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.868 * [taylor]: Taking taylor expansion of 1/2 in J 11.868 * [backup-simplify]: Simplify 1/2 into 1/2 11.868 * [taylor]: Taking taylor expansion of K in J 11.868 * [backup-simplify]: Simplify K into K 11.868 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.868 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.868 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.868 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.868 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.868 * [backup-simplify]: Simplify (- 0) into 0 11.868 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.868 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.868 * [taylor]: Taking taylor expansion of J in J 11.868 * [backup-simplify]: Simplify 0 into 0 11.868 * [backup-simplify]: Simplify 1 into 1 11.868 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.869 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.869 * [backup-simplify]: Simplify (* 1 1) into 1 11.869 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.870 * [backup-simplify]: Simplify (+ 0) into 0 11.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.871 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.872 * [backup-simplify]: Simplify (- 0) into 0 11.873 * [backup-simplify]: Simplify (+ 0 0) into 0 11.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.874 * [backup-simplify]: Simplify (- 0) into 0 11.874 * [backup-simplify]: Simplify (+ 0 0) into 0 11.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.875 * [backup-simplify]: Simplify (+ 0) into 0 11.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.875 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.876 * [backup-simplify]: Simplify (- 0) into 0 11.877 * [backup-simplify]: Simplify (+ 0 0) into 0 11.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.877 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.879 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.879 * [backup-simplify]: Simplify (- 0) into 0 11.879 * [backup-simplify]: Simplify (+ 0 0) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.880 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.883 * [backup-simplify]: Simplify (- 0) into 0 11.883 * [backup-simplify]: Simplify (+ 0 0) into 0 11.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.884 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.887 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.888 * [backup-simplify]: Simplify (- 0) into 0 11.888 * [backup-simplify]: Simplify (+ 0 0) into 0 11.889 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.889 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.890 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.891 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.894 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 11.894 * [taylor]: Taking taylor expansion of 0 in K 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [taylor]: Taking taylor expansion of 0 in K 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.896 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.897 * [backup-simplify]: Simplify (- 0) into 0 11.898 * [backup-simplify]: Simplify (+ 0 0) into 0 11.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.899 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.902 * [backup-simplify]: Simplify (- 0) into 0 11.902 * [backup-simplify]: Simplify (+ 0 0) into 0 11.903 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.904 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.904 * [taylor]: Taking taylor expansion of 0 in K 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.905 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 11.905 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U J K) around 0 11.905 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 11.905 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.905 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.905 * [taylor]: Taking taylor expansion of 1/6 in K 11.905 * [backup-simplify]: Simplify 1/6 into 1/6 11.905 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.905 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.905 * [taylor]: Taking taylor expansion of 1 in K 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.905 * [taylor]: Taking taylor expansion of 1/4 in K 11.905 * [backup-simplify]: Simplify 1/4 into 1/4 11.905 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.905 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.905 * [taylor]: Taking taylor expansion of J in K 11.905 * [backup-simplify]: Simplify J into J 11.905 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.905 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.905 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.905 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.905 * [taylor]: Taking taylor expansion of -1/2 in K 11.905 * [backup-simplify]: Simplify -1/2 into -1/2 11.905 * [taylor]: Taking taylor expansion of K in K 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.905 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.906 * [taylor]: Taking taylor expansion of U in K 11.906 * [backup-simplify]: Simplify U into U 11.906 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.906 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.906 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.906 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.906 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.907 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.907 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.907 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.907 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 11.907 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 11.907 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.908 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.908 * [taylor]: Taking taylor expansion of 1/6 in J 11.908 * [backup-simplify]: Simplify 1/6 into 1/6 11.908 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.908 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.908 * [taylor]: Taking taylor expansion of 1 in J 11.908 * [backup-simplify]: Simplify 1 into 1 11.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.908 * [taylor]: Taking taylor expansion of 1/4 in J 11.908 * [backup-simplify]: Simplify 1/4 into 1/4 11.908 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.908 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.908 * [taylor]: Taking taylor expansion of J in J 11.908 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify 1 into 1 11.908 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.908 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.908 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.908 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.908 * [taylor]: Taking taylor expansion of -1/2 in J 11.908 * [backup-simplify]: Simplify -1/2 into -1/2 11.908 * [taylor]: Taking taylor expansion of K in J 11.908 * [backup-simplify]: Simplify K into K 11.908 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.908 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.908 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.908 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.908 * [backup-simplify]: Simplify (- 0) into 0 11.908 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.909 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.909 * [taylor]: Taking taylor expansion of U in J 11.909 * [backup-simplify]: Simplify U into U 11.909 * [backup-simplify]: Simplify (* 1 1) into 1 11.909 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.909 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.909 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.909 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.909 * [backup-simplify]: Simplify (+ 1 0) into 1 11.910 * [backup-simplify]: Simplify (log 1) into 0 11.910 * [backup-simplify]: Simplify (* 1/6 0) into 0 11.910 * [backup-simplify]: Simplify (+ 0 0) into 0 11.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.912 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 11.912 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.913 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.916 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.916 * [backup-simplify]: Simplify (exp 0) into 1 11.916 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 11.916 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.916 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.916 * [taylor]: Taking taylor expansion of 1/6 in U 11.916 * [backup-simplify]: Simplify 1/6 into 1/6 11.916 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.916 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.916 * [taylor]: Taking taylor expansion of 1 in U 11.916 * [backup-simplify]: Simplify 1 into 1 11.916 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.916 * [taylor]: Taking taylor expansion of 1/4 in U 11.916 * [backup-simplify]: Simplify 1/4 into 1/4 11.916 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.916 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.916 * [taylor]: Taking taylor expansion of J in U 11.916 * [backup-simplify]: Simplify J into J 11.916 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.916 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.916 * [taylor]: Taking taylor expansion of -1/2 in U 11.916 * [backup-simplify]: Simplify -1/2 into -1/2 11.916 * [taylor]: Taking taylor expansion of K in U 11.916 * [backup-simplify]: Simplify K into K 11.916 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.916 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.917 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.917 * [backup-simplify]: Simplify (- 0) into 0 11.917 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.917 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.917 * [taylor]: Taking taylor expansion of U in U 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.918 * [backup-simplify]: Simplify (* 1 1) into 1 11.918 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.918 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.918 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.919 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.919 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.920 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.920 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.920 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.920 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 11.920 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.921 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.921 * [taylor]: Taking taylor expansion of 1/6 in U 11.921 * [backup-simplify]: Simplify 1/6 into 1/6 11.921 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.921 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.921 * [taylor]: Taking taylor expansion of 1 in U 11.921 * [backup-simplify]: Simplify 1 into 1 11.921 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.921 * [taylor]: Taking taylor expansion of 1/4 in U 11.921 * [backup-simplify]: Simplify 1/4 into 1/4 11.921 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.921 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.921 * [taylor]: Taking taylor expansion of J in U 11.921 * [backup-simplify]: Simplify J into J 11.921 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.921 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.921 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.921 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.921 * [taylor]: Taking taylor expansion of -1/2 in U 11.921 * [backup-simplify]: Simplify -1/2 into -1/2 11.921 * [taylor]: Taking taylor expansion of K in U 11.921 * [backup-simplify]: Simplify K into K 11.921 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.921 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.921 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.921 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.922 * [backup-simplify]: Simplify (- 0) into 0 11.922 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.922 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.922 * [taylor]: Taking taylor expansion of U in U 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.923 * [backup-simplify]: Simplify (* 1 1) into 1 11.923 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.923 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.924 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.924 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.924 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.925 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.925 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.926 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.926 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.926 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.926 * [taylor]: Taking taylor expansion of 1/6 in J 11.926 * [backup-simplify]: Simplify 1/6 into 1/6 11.926 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.926 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.926 * [taylor]: Taking taylor expansion of 1/4 in J 11.926 * [backup-simplify]: Simplify 1/4 into 1/4 11.926 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.926 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.926 * [taylor]: Taking taylor expansion of J in J 11.926 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify 1 into 1 11.926 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.926 * [taylor]: Taking taylor expansion of -1/2 in J 11.926 * [backup-simplify]: Simplify -1/2 into -1/2 11.926 * [taylor]: Taking taylor expansion of K in J 11.926 * [backup-simplify]: Simplify K into K 11.926 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.927 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.927 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.927 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.927 * [backup-simplify]: Simplify (- 0) into 0 11.927 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.928 * [backup-simplify]: Simplify (* 1 1) into 1 11.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.928 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.928 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.928 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.928 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.928 * [taylor]: Taking taylor expansion of 2 in J 11.928 * [backup-simplify]: Simplify 2 into 2 11.928 * [taylor]: Taking taylor expansion of (log U) in J 11.929 * [taylor]: Taking taylor expansion of U in J 11.929 * [backup-simplify]: Simplify U into U 11.929 * [backup-simplify]: Simplify (log U) into (log U) 11.929 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.929 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.929 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.930 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.930 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.930 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.930 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.930 * [taylor]: Taking taylor expansion of (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.930 * [taylor]: Taking taylor expansion of 1/6 in K 11.931 * [backup-simplify]: Simplify 1/6 into 1/6 11.931 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.931 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.931 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.931 * [taylor]: Taking taylor expansion of 2 in K 11.931 * [backup-simplify]: Simplify 2 into 2 11.931 * [taylor]: Taking taylor expansion of (log J) in K 11.931 * [taylor]: Taking taylor expansion of J in K 11.931 * [backup-simplify]: Simplify J into J 11.931 * [backup-simplify]: Simplify (log J) into (log J) 11.931 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.931 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.931 * [taylor]: Taking taylor expansion of 1/4 in K 11.931 * [backup-simplify]: Simplify 1/4 into 1/4 11.931 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.931 * [taylor]: Taking taylor expansion of -1/2 in K 11.931 * [backup-simplify]: Simplify -1/2 into -1/2 11.931 * [taylor]: Taking taylor expansion of K in K 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 1 into 1 11.932 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.932 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.932 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.932 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.932 * [taylor]: Taking taylor expansion of 2 in K 11.932 * [backup-simplify]: Simplify 2 into 2 11.932 * [taylor]: Taking taylor expansion of (log U) in K 11.932 * [taylor]: Taking taylor expansion of U in K 11.932 * [backup-simplify]: Simplify U into U 11.932 * [backup-simplify]: Simplify (log U) into (log U) 11.932 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.933 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.933 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.933 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.933 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.933 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.934 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.934 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.934 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.936 * [backup-simplify]: Simplify (+ 0) into 0 11.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.937 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.938 * [backup-simplify]: Simplify (- 0) into 0 11.938 * [backup-simplify]: Simplify (+ 0 0) into 0 11.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.939 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.940 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.941 * [backup-simplify]: Simplify (+ 0 0) into 0 11.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.944 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.945 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.951 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.952 * [taylor]: Taking taylor expansion of 0 in J 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [taylor]: Taking taylor expansion of 0 in K 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.953 * [backup-simplify]: Simplify (+ 0) into 0 11.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.956 * [backup-simplify]: Simplify (- 0) into 0 11.956 * [backup-simplify]: Simplify (+ 0 0) into 0 11.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.957 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.960 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.961 * [backup-simplify]: Simplify (- 0) into 0 11.961 * [backup-simplify]: Simplify (+ 0 0) into 0 11.962 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.964 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.964 * [taylor]: Taking taylor expansion of 0 in K 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 0 into 0 11.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.965 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.966 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.967 * [backup-simplify]: Simplify (+ 0 0) into 0 11.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.969 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.969 * [backup-simplify]: Simplify (- 0) into 0 11.969 * [backup-simplify]: Simplify (+ 0 0) into 0 11.970 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.971 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.972 * [backup-simplify]: Simplify 0 into 0 11.972 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.977 * [backup-simplify]: Simplify (- 0) into 0 11.978 * [backup-simplify]: Simplify (+ 0 0) into 0 11.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.979 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.980 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.981 * [backup-simplify]: Simplify (+ 1 0) into 1 11.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.984 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.986 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.987 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.987 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.987 * [taylor]: Taking taylor expansion of 2/3 in J 11.987 * [backup-simplify]: Simplify 2/3 into 2/3 11.987 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.987 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.987 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.987 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.988 * [taylor]: Taking taylor expansion of -1/2 in J 11.988 * [backup-simplify]: Simplify -1/2 into -1/2 11.988 * [taylor]: Taking taylor expansion of K in J 11.988 * [backup-simplify]: Simplify K into K 11.988 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.988 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.988 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.988 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.988 * [backup-simplify]: Simplify (- 0) into 0 11.988 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.989 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.989 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.989 * [taylor]: Taking taylor expansion of 1/6 in J 11.989 * [backup-simplify]: Simplify 1/6 into 1/6 11.989 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.989 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.989 * [taylor]: Taking taylor expansion of 1/4 in J 11.989 * [backup-simplify]: Simplify 1/4 into 1/4 11.989 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.989 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.989 * [taylor]: Taking taylor expansion of J in J 11.989 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify 1 into 1 11.989 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.989 * [taylor]: Taking taylor expansion of -1/2 in J 11.989 * [backup-simplify]: Simplify -1/2 into -1/2 11.989 * [taylor]: Taking taylor expansion of K in J 11.989 * [backup-simplify]: Simplify K into K 11.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.989 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.990 * [backup-simplify]: Simplify (- 0) into 0 11.990 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.990 * [backup-simplify]: Simplify (* 1 1) into 1 11.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.991 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.991 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.991 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.991 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.991 * [taylor]: Taking taylor expansion of 2 in J 11.991 * [backup-simplify]: Simplify 2 into 2 11.991 * [taylor]: Taking taylor expansion of (log U) in J 11.991 * [taylor]: Taking taylor expansion of U in J 11.991 * [backup-simplify]: Simplify U into U 11.991 * [backup-simplify]: Simplify (log U) into (log U) 11.992 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.992 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.992 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.992 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.993 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.993 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.993 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.993 * [taylor]: Taking taylor expansion of J in J 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify 1 into 1 11.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.994 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.994 * [backup-simplify]: Simplify (* 1 1) into 1 11.995 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.996 * [backup-simplify]: Simplify (+ 0) into 0 11.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.998 * [backup-simplify]: Simplify (- 0) into 0 11.999 * [backup-simplify]: Simplify (+ 0 0) into 0 11.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.999 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.000 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.002 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.003 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.007 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.008 * [backup-simplify]: Simplify (- 0) into 0 12.009 * [backup-simplify]: Simplify (+ 0 0) into 0 12.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.010 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.011 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.013 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.015 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.016 * [backup-simplify]: Simplify (- 0) into 0 12.017 * [backup-simplify]: Simplify (+ 0 0) into 0 12.018 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.020 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.020 * [backup-simplify]: Simplify (+ 0) into 0 12.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.022 * [backup-simplify]: Simplify (- 0) into 0 12.023 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.024 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.027 * [backup-simplify]: Simplify (- 0) into 0 12.028 * [backup-simplify]: Simplify (+ 0 0) into 0 12.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.028 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 12.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.029 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 12.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 12.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.033 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 12.033 * [taylor]: Taking taylor expansion of 0 in K 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [taylor]: Taking taylor expansion of 0 in K 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.035 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.036 * [backup-simplify]: Simplify (- 0) into 0 12.036 * [backup-simplify]: Simplify (+ 0 0) into 0 12.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.037 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.038 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.041 * [backup-simplify]: Simplify (- 0) into 0 12.041 * [backup-simplify]: Simplify (+ 0 0) into 0 12.041 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.042 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.042 * [taylor]: Taking taylor expansion of 0 in K 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.043 * * * [progress]: simplifying candidates 12.043 * * * * [progress]: [ 1 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 2 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 3 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 4 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 5 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 6 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 7 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 8 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 9 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 10 / 81 ] simplifiying candidate # 12.043 * * * * [progress]: [ 11 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 12 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 13 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 14 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 15 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 16 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 17 / 81 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 12.044 * * * * [progress]: [ 18 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 19 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 20 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 21 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 22 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 23 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 24 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 25 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 26 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 27 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 28 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 29 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 30 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 31 / 81 ] simplifiying candidate # 12.044 * * * * [progress]: [ 32 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 33 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 34 / 81 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 12.045 * * * * [progress]: [ 35 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 36 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 37 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 38 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 39 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 40 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 41 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 42 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 43 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 44 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 45 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 46 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 47 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 48 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 49 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 50 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 51 / 81 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))> 12.045 * * * * [progress]: [ 52 / 81 ] simplifiying candidate # 12.045 * * * * [progress]: [ 53 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 54 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 55 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 56 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 57 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 58 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 59 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 60 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 61 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 62 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 63 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 64 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 65 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 66 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 67 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 68 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 69 / 81 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))> 12.046 * * * * [progress]: [ 70 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 71 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 72 / 81 ] simplifiying candidate # 12.046 * * * * [progress]: [ 73 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 74 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 75 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 76 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 77 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 78 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 79 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 80 / 81 ] simplifiying candidate # 12.047 * * * * [progress]: [ 81 / 81 ] simplifiying candidate # 12.049 * [simplify]: Simplifying: (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) 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(cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (log (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt 1)) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt 1) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (cbrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.052 * * [simplify]: iteration 0: 91 enodes 12.090 * * [simplify]: iteration 1: 171 enodes 12.168 * * [simplify]: iteration 2: 404 enodes 12.382 * * [simplify]: iteration 3: 1337 enodes 13.253 * * [simplify]: iteration complete: 5001 enodes 13.254 * * [simplify]: Extracting #0: cost 33 inf + 0 13.254 * * [simplify]: Extracting #1: cost 154 inf + 2 13.255 * * [simplify]: Extracting #2: cost 495 inf + 567 13.263 * * [simplify]: Extracting #3: cost 1339 inf + 2463 13.271 * * [simplify]: Extracting #4: cost 1673 inf + 15308 13.284 * * [simplify]: Extracting #5: cost 1373 inf + 70335 13.350 * * [simplify]: Extracting #6: cost 655 inf + 305043 13.513 * * [simplify]: Extracting #7: cost 125 inf + 505318 13.650 * * [simplify]: Extracting #8: cost 45 inf + 530461 13.820 * * [simplify]: Extracting #9: cost 2 inf + 550997 14.028 * * [simplify]: Extracting #10: cost 0 inf + 552007 14.211 * [simplify]: Simplified to: (log (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (exp (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (fabs (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) 1 (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1 (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) (sqrt (+ (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1)) (sqrt (+ (- 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (- 1 (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (- 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1/2 (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (real->posit16 (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (log (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (exp (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (fabs (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) 1 (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1 (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) (sqrt (+ (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1)) (sqrt (+ (- 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (- 1 (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (- 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1/2 (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (real->posit16 (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (log (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 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(/ (/ U J) (* 2 (cos (/ K 2)))))))) (log (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (exp (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))))) (cbrt (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (fabs (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) 1 (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) 1 (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) 1 (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (sqrt (+ (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) 1))) (cbrt (sqrt (+ (- 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (- 1 (* (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (sqrt (- 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (cbrt (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (cbrt (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))))) (cbrt (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))) (sqrt (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (sqrt (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) (real->posit16 (cbrt (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) 1 (/ (* (/ 1/2 J) U) (cos (* K 1/2))) (/ (* (/ 1/2 J) U) (cos (* K 1/2))) 1 (/ (* (/ 1/2 J) U) (cos (* K 1/2))) (/ (* (/ 1/2 J) U) (cos (* K 1/2))) 1 (/ (* (/ 1/2 J) U) (cos (* K 1/2))) (/ (* (/ 1/2 J) U) (cos (* K 1/2))) 1 (exp (* (+ (* 2 (+ (log U) (- (log J)))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) 1/6)) (exp (+ (* 1/6 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 1/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 14.229 * * * [progress]: adding candidates to table 14.883 * * [progress]: iteration 4 / 4 14.883 * * * [progress]: picking best candidate 14.953 * * * * [pick]: Picked # 14.953 * * * [progress]: localizing error 15.040 * * * [progress]: generating rewritten candidates 15.040 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 15.108 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 15.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 15.850 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 15.856 * * * [progress]: generating series expansions 15.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 15.856 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 15.856 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 15.856 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.856 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.856 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.856 * [taylor]: Taking taylor expansion of 1/4 in K 15.856 * [backup-simplify]: Simplify 1/4 into 1/4 15.856 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.857 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.857 * [taylor]: Taking taylor expansion of U in K 15.857 * [backup-simplify]: Simplify U into U 15.857 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.857 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.857 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.857 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.857 * [taylor]: Taking taylor expansion of 1/2 in K 15.857 * [backup-simplify]: Simplify 1/2 into 1/2 15.857 * [taylor]: Taking taylor expansion of K in K 15.857 * [backup-simplify]: Simplify 0 into 0 15.857 * [backup-simplify]: Simplify 1 into 1 15.858 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.858 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.858 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.859 * [taylor]: Taking taylor expansion of J in K 15.859 * [backup-simplify]: Simplify J into J 15.859 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.859 * [backup-simplify]: Simplify (* 1 1) into 1 15.859 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.859 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.859 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.859 * [taylor]: Taking taylor expansion of 1 in K 15.859 * [backup-simplify]: Simplify 1 into 1 15.860 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.860 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.860 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.860 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.861 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.861 * [backup-simplify]: Simplify (+ 0) into 0 15.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.863 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.863 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.864 * [backup-simplify]: Simplify (+ 0 0) into 0 15.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.864 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.864 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.864 * [taylor]: Taking taylor expansion of 1/4 in J 15.864 * [backup-simplify]: Simplify 1/4 into 1/4 15.864 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.864 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.864 * [taylor]: Taking taylor expansion of U in J 15.864 * [backup-simplify]: Simplify U into U 15.864 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.864 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.864 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.864 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.865 * [taylor]: Taking taylor expansion of 1/2 in J 15.865 * [backup-simplify]: Simplify 1/2 into 1/2 15.865 * [taylor]: Taking taylor expansion of K in J 15.865 * [backup-simplify]: Simplify K into K 15.865 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.865 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.865 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.865 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.865 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.865 * [backup-simplify]: Simplify (- 0) into 0 15.865 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.866 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.866 * [taylor]: Taking taylor expansion of J in J 15.866 * [backup-simplify]: Simplify 0 into 0 15.866 * [backup-simplify]: Simplify 1 into 1 15.866 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.866 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.866 * [backup-simplify]: Simplify (* 1 1) into 1 15.866 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.867 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.867 * [taylor]: Taking taylor expansion of 1 in J 15.867 * [backup-simplify]: Simplify 1 into 1 15.867 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.867 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.867 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.868 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.869 * [backup-simplify]: Simplify (+ 0) into 0 15.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.871 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.871 * [backup-simplify]: Simplify (- 0) into 0 15.872 * [backup-simplify]: Simplify (+ 0 0) into 0 15.872 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.872 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.874 * [backup-simplify]: Simplify (+ 0 0) into 0 15.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.874 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.874 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.875 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.875 * [taylor]: Taking taylor expansion of 1/4 in U 15.875 * [backup-simplify]: Simplify 1/4 into 1/4 15.875 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.875 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.875 * [taylor]: Taking taylor expansion of U in U 15.875 * [backup-simplify]: Simplify 0 into 0 15.875 * [backup-simplify]: Simplify 1 into 1 15.875 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.875 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.875 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.875 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.875 * [taylor]: Taking taylor expansion of 1/2 in U 15.875 * [backup-simplify]: Simplify 1/2 into 1/2 15.875 * [taylor]: Taking taylor expansion of K in U 15.875 * [backup-simplify]: Simplify K into K 15.875 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.875 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.875 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.875 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.875 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.876 * [backup-simplify]: Simplify (- 0) into 0 15.876 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.876 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.876 * [taylor]: Taking taylor expansion of J in U 15.876 * [backup-simplify]: Simplify J into J 15.876 * [backup-simplify]: Simplify (* 1 1) into 1 15.876 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.876 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.877 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.877 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.877 * [taylor]: Taking taylor expansion of 1 in U 15.877 * [backup-simplify]: Simplify 1 into 1 15.878 * [backup-simplify]: Simplify (+ 0 1) into 1 15.878 * [backup-simplify]: Simplify (sqrt 1) into 1 15.879 * [backup-simplify]: Simplify (+ 0 0) into 0 15.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.879 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.879 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.879 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.879 * [taylor]: Taking taylor expansion of 1/4 in U 15.880 * [backup-simplify]: Simplify 1/4 into 1/4 15.880 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.880 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.880 * [taylor]: Taking taylor expansion of U in U 15.880 * [backup-simplify]: Simplify 0 into 0 15.880 * [backup-simplify]: Simplify 1 into 1 15.880 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.880 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.880 * [taylor]: Taking taylor expansion of 1/2 in U 15.880 * [backup-simplify]: Simplify 1/2 into 1/2 15.880 * [taylor]: Taking taylor expansion of K in U 15.880 * [backup-simplify]: Simplify K into K 15.880 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.880 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.880 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.880 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.880 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.881 * [backup-simplify]: Simplify (- 0) into 0 15.881 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.881 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.881 * [taylor]: Taking taylor expansion of J in U 15.881 * [backup-simplify]: Simplify J into J 15.881 * [backup-simplify]: Simplify (* 1 1) into 1 15.881 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.881 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.882 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.882 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.882 * [taylor]: Taking taylor expansion of 1 in U 15.882 * [backup-simplify]: Simplify 1 into 1 15.882 * [backup-simplify]: Simplify (+ 0 1) into 1 15.883 * [backup-simplify]: Simplify (sqrt 1) into 1 15.883 * [backup-simplify]: Simplify (+ 0 0) into 0 15.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.884 * [taylor]: Taking taylor expansion of 1 in J 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [taylor]: Taking taylor expansion of 0 in J 15.884 * [backup-simplify]: Simplify 0 into 0 15.884 * [taylor]: Taking taylor expansion of 1 in K 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [backup-simplify]: Simplify 1 into 1 15.885 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.885 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.886 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.886 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.886 * [taylor]: Taking taylor expansion of 1/8 in J 15.886 * [backup-simplify]: Simplify 1/8 into 1/8 15.886 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.886 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.886 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.887 * [taylor]: Taking taylor expansion of 1/2 in J 15.887 * [backup-simplify]: Simplify 1/2 into 1/2 15.887 * [taylor]: Taking taylor expansion of K in J 15.887 * [backup-simplify]: Simplify K into K 15.887 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.887 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.887 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.887 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.887 * [backup-simplify]: Simplify (- 0) into 0 15.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.887 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.888 * [taylor]: Taking taylor expansion of J in J 15.888 * [backup-simplify]: Simplify 0 into 0 15.888 * [backup-simplify]: Simplify 1 into 1 15.888 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.888 * [backup-simplify]: Simplify (* 1 1) into 1 15.888 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.888 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 15.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.890 * [backup-simplify]: Simplify (+ 0) into 0 15.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.892 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.892 * [backup-simplify]: Simplify (- 0) into 0 15.892 * [backup-simplify]: Simplify (+ 0 0) into 0 15.893 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.893 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.894 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.894 * [taylor]: Taking taylor expansion of 0 in K 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [taylor]: Taking taylor expansion of 0 in K 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [taylor]: Taking taylor expansion of 0 in K 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.895 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.896 * [backup-simplify]: Simplify (+ 0) into 0 15.896 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.901 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.902 * [backup-simplify]: Simplify (- 0) into 0 15.902 * [backup-simplify]: Simplify (+ 0 0) into 0 15.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.903 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.903 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.904 * [backup-simplify]: Simplify (+ 0 0) into 0 15.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.905 * [taylor]: Taking taylor expansion of 0 in J 15.905 * [backup-simplify]: Simplify 0 into 0 15.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.907 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.909 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.909 * [backup-simplify]: Simplify (- 0) into 0 15.909 * [backup-simplify]: Simplify (+ 0 0) into 0 15.909 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.910 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.910 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.910 * [taylor]: Taking taylor expansion of 0 in K 15.910 * [backup-simplify]: Simplify 0 into 0 15.910 * [backup-simplify]: Simplify 0 into 0 15.911 * [taylor]: Taking taylor expansion of 0 in K 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 1 into 1 15.911 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.911 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 15.911 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.911 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.911 * [taylor]: Taking taylor expansion of 1/4 in K 15.911 * [backup-simplify]: Simplify 1/4 into 1/4 15.911 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.911 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.911 * [taylor]: Taking taylor expansion of J in K 15.911 * [backup-simplify]: Simplify J into J 15.911 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.911 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.911 * [taylor]: Taking taylor expansion of U in K 15.911 * [backup-simplify]: Simplify U into U 15.911 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.911 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.911 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.911 * [taylor]: Taking taylor expansion of 1/2 in K 15.911 * [backup-simplify]: Simplify 1/2 into 1/2 15.911 * [taylor]: Taking taylor expansion of K in K 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 1 into 1 15.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.912 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.912 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.912 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.912 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.912 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.912 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.912 * [taylor]: Taking taylor expansion of 1 in K 15.912 * [backup-simplify]: Simplify 1 into 1 15.912 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.913 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.913 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.913 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.913 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.913 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.914 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.915 * [backup-simplify]: Simplify (+ 0 0) into 0 15.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.915 * [taylor]: Taking taylor expansion of 1/4 in J 15.915 * [backup-simplify]: Simplify 1/4 into 1/4 15.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.915 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.915 * [taylor]: Taking taylor expansion of J in J 15.915 * [backup-simplify]: Simplify 0 into 0 15.915 * [backup-simplify]: Simplify 1 into 1 15.915 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.915 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.915 * [taylor]: Taking taylor expansion of U in J 15.915 * [backup-simplify]: Simplify U into U 15.915 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.915 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.915 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.915 * [taylor]: Taking taylor expansion of 1/2 in J 15.915 * [backup-simplify]: Simplify 1/2 into 1/2 15.915 * [taylor]: Taking taylor expansion of K in J 15.915 * [backup-simplify]: Simplify K into K 15.915 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.915 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.915 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.916 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.916 * [backup-simplify]: Simplify (- 0) into 0 15.916 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.916 * [backup-simplify]: Simplify (* 1 1) into 1 15.916 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.916 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.917 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.917 * [taylor]: Taking taylor expansion of 1 in J 15.917 * [backup-simplify]: Simplify 1 into 1 15.917 * [backup-simplify]: Simplify (+ 0 1) into 1 15.917 * [backup-simplify]: Simplify (sqrt 1) into 1 15.918 * [backup-simplify]: Simplify (+ 0 0) into 0 15.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.918 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.918 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.918 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.918 * [taylor]: Taking taylor expansion of 1/4 in U 15.918 * [backup-simplify]: Simplify 1/4 into 1/4 15.918 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.918 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.918 * [taylor]: Taking taylor expansion of J in U 15.918 * [backup-simplify]: Simplify J into J 15.918 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.918 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.918 * [taylor]: Taking taylor expansion of U in U 15.918 * [backup-simplify]: Simplify 0 into 0 15.918 * [backup-simplify]: Simplify 1 into 1 15.918 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.918 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.918 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.918 * [taylor]: Taking taylor expansion of 1/2 in U 15.918 * [backup-simplify]: Simplify 1/2 into 1/2 15.918 * [taylor]: Taking taylor expansion of K in U 15.918 * [backup-simplify]: Simplify K into K 15.918 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.919 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.919 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.919 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.919 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.919 * [backup-simplify]: Simplify (- 0) into 0 15.919 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.919 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.919 * [backup-simplify]: Simplify (* 1 1) into 1 15.919 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.920 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.920 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.920 * [taylor]: Taking taylor expansion of 1 in U 15.920 * [backup-simplify]: Simplify 1 into 1 15.920 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.920 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.920 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.920 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.921 * [backup-simplify]: Simplify (+ 0) into 0 15.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.922 * [backup-simplify]: Simplify (- 0) into 0 15.922 * [backup-simplify]: Simplify (+ 0 0) into 0 15.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.924 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.924 * [backup-simplify]: Simplify (+ 0 0) into 0 15.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.924 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.925 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.925 * [taylor]: Taking taylor expansion of 1/4 in U 15.925 * [backup-simplify]: Simplify 1/4 into 1/4 15.925 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.925 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.925 * [taylor]: Taking taylor expansion of J in U 15.925 * [backup-simplify]: Simplify J into J 15.925 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.925 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.925 * [taylor]: Taking taylor expansion of U in U 15.925 * [backup-simplify]: Simplify 0 into 0 15.925 * [backup-simplify]: Simplify 1 into 1 15.925 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.925 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.925 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.925 * [taylor]: Taking taylor expansion of 1/2 in U 15.925 * [backup-simplify]: Simplify 1/2 into 1/2 15.925 * [taylor]: Taking taylor expansion of K in U 15.925 * [backup-simplify]: Simplify K into K 15.925 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.925 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.925 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.925 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.925 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.925 * [backup-simplify]: Simplify (- 0) into 0 15.925 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.925 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.926 * [backup-simplify]: Simplify (* 1 1) into 1 15.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.926 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.926 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.926 * [taylor]: Taking taylor expansion of 1 in U 15.926 * [backup-simplify]: Simplify 1 into 1 15.926 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.926 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.927 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.927 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.927 * [backup-simplify]: Simplify (+ 0) into 0 15.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.929 * [backup-simplify]: Simplify (- 0) into 0 15.929 * [backup-simplify]: Simplify (+ 0 0) into 0 15.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.930 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.931 * [backup-simplify]: Simplify (+ 0 0) into 0 15.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.931 * [taylor]: Taking taylor expansion of 1/2 in J 15.931 * [backup-simplify]: Simplify 1/2 into 1/2 15.931 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.931 * [taylor]: Taking taylor expansion of J in J 15.931 * [backup-simplify]: Simplify 0 into 0 15.931 * [backup-simplify]: Simplify 1 into 1 15.931 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.931 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.931 * [taylor]: Taking taylor expansion of 1/2 in J 15.931 * [backup-simplify]: Simplify 1/2 into 1/2 15.931 * [taylor]: Taking taylor expansion of K in J 15.931 * [backup-simplify]: Simplify K into K 15.932 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.932 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.932 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.932 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.932 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.932 * [backup-simplify]: Simplify (- 0) into 0 15.932 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.932 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.932 * [taylor]: Taking taylor expansion of 0 in J 15.932 * [backup-simplify]: Simplify 0 into 0 15.932 * [taylor]: Taking taylor expansion of 0 in K 15.932 * [backup-simplify]: Simplify 0 into 0 15.932 * [backup-simplify]: Simplify 0 into 0 15.932 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.932 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 15.932 * [taylor]: Taking taylor expansion of 1/2 in K 15.932 * [backup-simplify]: Simplify 1/2 into 1/2 15.932 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.932 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.932 * [taylor]: Taking taylor expansion of 1/2 in K 15.932 * [backup-simplify]: Simplify 1/2 into 1/2 15.932 * [taylor]: Taking taylor expansion of K in K 15.932 * [backup-simplify]: Simplify 0 into 0 15.932 * [backup-simplify]: Simplify 1 into 1 15.933 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.933 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.933 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.933 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.933 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.936 * [backup-simplify]: Simplify (- 0) into 0 15.936 * [backup-simplify]: Simplify (+ 0 0) into 0 15.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.939 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.941 * [backup-simplify]: Simplify (+ 0 1) into 1 15.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.942 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.942 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.942 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.942 * [taylor]: Taking taylor expansion of 1/2 in J 15.942 * [backup-simplify]: Simplify 1/2 into 1/2 15.942 * [taylor]: Taking taylor expansion of K in J 15.942 * [backup-simplify]: Simplify K into K 15.942 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.942 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.942 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.942 * [taylor]: Taking taylor expansion of J in J 15.942 * [backup-simplify]: Simplify 0 into 0 15.942 * [backup-simplify]: Simplify 1 into 1 15.942 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.942 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.943 * [backup-simplify]: Simplify (- 0) into 0 15.943 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.943 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.943 * [backup-simplify]: Simplify (+ 0) into 0 15.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.945 * [backup-simplify]: Simplify (- 0) into 0 15.946 * [backup-simplify]: Simplify (+ 0 0) into 0 15.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.947 * [taylor]: Taking taylor expansion of 0 in K 15.947 * [backup-simplify]: Simplify 0 into 0 15.947 * [backup-simplify]: Simplify 0 into 0 15.947 * [taylor]: Taking taylor expansion of 0 in K 15.947 * [backup-simplify]: Simplify 0 into 0 15.947 * [backup-simplify]: Simplify 0 into 0 15.947 * [backup-simplify]: Simplify (+ 0) into 0 15.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.948 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.949 * [backup-simplify]: Simplify (- 0) into 0 15.950 * [backup-simplify]: Simplify (+ 0 0) into 0 15.950 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.951 * [taylor]: Taking taylor expansion of 0 in K 15.951 * [backup-simplify]: Simplify 0 into 0 15.951 * [backup-simplify]: Simplify 0 into 0 15.951 * [backup-simplify]: Simplify 0 into 0 15.951 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.951 * [backup-simplify]: Simplify 0 into 0 15.952 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 15.953 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.957 * [backup-simplify]: Simplify (- 0) into 0 15.957 * [backup-simplify]: Simplify (+ 0 0) into 0 15.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.961 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.963 * [backup-simplify]: Simplify (+ 0 0) into 0 15.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.963 * [taylor]: Taking taylor expansion of 0 in J 15.963 * [backup-simplify]: Simplify 0 into 0 15.963 * [taylor]: Taking taylor expansion of 0 in K 15.963 * [backup-simplify]: Simplify 0 into 0 15.963 * [backup-simplify]: Simplify 0 into 0 15.964 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 15.964 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.964 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 15.964 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.964 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.964 * [taylor]: Taking taylor expansion of 1 in K 15.964 * [backup-simplify]: Simplify 1 into 1 15.964 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.964 * [taylor]: Taking taylor expansion of 1/4 in K 15.965 * [backup-simplify]: Simplify 1/4 into 1/4 15.965 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.965 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.965 * [taylor]: Taking taylor expansion of J in K 15.965 * [backup-simplify]: Simplify J into J 15.965 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.965 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.965 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.965 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.965 * [taylor]: Taking taylor expansion of -1/2 in K 15.965 * [backup-simplify]: Simplify -1/2 into -1/2 15.965 * [taylor]: Taking taylor expansion of K in K 15.965 * [backup-simplify]: Simplify 0 into 0 15.965 * [backup-simplify]: Simplify 1 into 1 15.965 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.965 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.965 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.965 * [taylor]: Taking taylor expansion of U in K 15.965 * [backup-simplify]: Simplify U into U 15.966 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.966 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.966 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.966 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.966 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.967 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.967 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.968 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.968 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.968 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.968 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.969 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.970 * [backup-simplify]: Simplify (+ 0 0) into 0 15.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.971 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.971 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.971 * [taylor]: Taking taylor expansion of 1 in J 15.971 * [backup-simplify]: Simplify 1 into 1 15.971 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.971 * [taylor]: Taking taylor expansion of 1/4 in J 15.971 * [backup-simplify]: Simplify 1/4 into 1/4 15.971 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.971 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.971 * [taylor]: Taking taylor expansion of J in J 15.971 * [backup-simplify]: Simplify 0 into 0 15.971 * [backup-simplify]: Simplify 1 into 1 15.971 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.971 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.971 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.971 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.971 * [taylor]: Taking taylor expansion of -1/2 in J 15.971 * [backup-simplify]: Simplify -1/2 into -1/2 15.971 * [taylor]: Taking taylor expansion of K in J 15.971 * [backup-simplify]: Simplify K into K 15.971 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.972 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.972 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.972 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.972 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.972 * [backup-simplify]: Simplify (- 0) into 0 15.972 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.972 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.972 * [taylor]: Taking taylor expansion of U in J 15.972 * [backup-simplify]: Simplify U into U 15.973 * [backup-simplify]: Simplify (* 1 1) into 1 15.973 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.973 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.973 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.973 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.974 * [backup-simplify]: Simplify (+ 1 0) into 1 15.974 * [backup-simplify]: Simplify (sqrt 1) into 1 15.975 * [backup-simplify]: Simplify (+ 0 0) into 0 15.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.975 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.975 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.975 * [taylor]: Taking taylor expansion of 1 in U 15.975 * [backup-simplify]: Simplify 1 into 1 15.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.975 * [taylor]: Taking taylor expansion of 1/4 in U 15.975 * [backup-simplify]: Simplify 1/4 into 1/4 15.975 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.975 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.976 * [taylor]: Taking taylor expansion of J in U 15.976 * [backup-simplify]: Simplify J into J 15.976 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.976 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.976 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.976 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.976 * [taylor]: Taking taylor expansion of -1/2 in U 15.976 * [backup-simplify]: Simplify -1/2 into -1/2 15.976 * [taylor]: Taking taylor expansion of K in U 15.976 * [backup-simplify]: Simplify K into K 15.976 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.976 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.976 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.976 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.976 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.976 * [backup-simplify]: Simplify (- 0) into 0 15.977 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.977 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.977 * [taylor]: Taking taylor expansion of U in U 15.977 * [backup-simplify]: Simplify 0 into 0 15.977 * [backup-simplify]: Simplify 1 into 1 15.977 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.977 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.977 * [backup-simplify]: Simplify (* 1 1) into 1 15.978 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.978 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.978 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.979 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.979 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.979 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.980 * [backup-simplify]: Simplify (+ 0) into 0 15.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.981 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.982 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.983 * [backup-simplify]: Simplify (- 0) into 0 15.983 * [backup-simplify]: Simplify (+ 0 0) into 0 15.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.984 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.984 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.985 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.985 * [backup-simplify]: Simplify (+ 0 0) into 0 15.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.986 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.986 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.986 * [taylor]: Taking taylor expansion of 1 in U 15.986 * [backup-simplify]: Simplify 1 into 1 15.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.986 * [taylor]: Taking taylor expansion of 1/4 in U 15.986 * [backup-simplify]: Simplify 1/4 into 1/4 15.986 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.986 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.986 * [taylor]: Taking taylor expansion of J in U 15.986 * [backup-simplify]: Simplify J into J 15.986 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.986 * [taylor]: Taking taylor expansion of -1/2 in U 15.986 * [backup-simplify]: Simplify -1/2 into -1/2 15.986 * [taylor]: Taking taylor expansion of K in U 15.986 * [backup-simplify]: Simplify K into K 15.986 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.987 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.987 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.987 * [backup-simplify]: Simplify (- 0) into 0 15.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.987 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.987 * [taylor]: Taking taylor expansion of U in U 15.987 * [backup-simplify]: Simplify 0 into 0 15.987 * [backup-simplify]: Simplify 1 into 1 15.987 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.988 * [backup-simplify]: Simplify (* 1 1) into 1 15.988 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.988 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.989 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.989 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.989 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.989 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.990 * [backup-simplify]: Simplify (+ 0) into 0 15.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.993 * [backup-simplify]: Simplify (- 0) into 0 15.993 * [backup-simplify]: Simplify (+ 0 0) into 0 15.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.994 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.995 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.996 * [backup-simplify]: Simplify (+ 0 0) into 0 15.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.996 * [taylor]: Taking taylor expansion of 1/2 in J 15.996 * [backup-simplify]: Simplify 1/2 into 1/2 15.996 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.996 * [taylor]: Taking taylor expansion of J in J 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 1 into 1 15.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.996 * [taylor]: Taking taylor expansion of -1/2 in J 15.996 * [backup-simplify]: Simplify -1/2 into -1/2 15.996 * [taylor]: Taking taylor expansion of K in J 15.997 * [backup-simplify]: Simplify K into K 15.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.997 * [backup-simplify]: Simplify (- 0) into 0 15.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.998 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.998 * [taylor]: Taking taylor expansion of 0 in J 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [taylor]: Taking taylor expansion of 0 in K 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.998 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 15.998 * [taylor]: Taking taylor expansion of 1/2 in K 15.998 * [backup-simplify]: Simplify 1/2 into 1/2 15.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.998 * [taylor]: Taking taylor expansion of -1/2 in K 15.998 * [backup-simplify]: Simplify -1/2 into -1/2 15.998 * [taylor]: Taking taylor expansion of K in K 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify 1 into 1 15.999 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.999 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.999 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.999 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 16.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.004 * [backup-simplify]: Simplify (- 0) into 0 16.005 * [backup-simplify]: Simplify (+ 0 0) into 0 16.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 16.006 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.007 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 16.008 * [backup-simplify]: Simplify (+ 1 0) into 1 16.009 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 16.009 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 16.009 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.009 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.009 * [taylor]: Taking taylor expansion of -1/2 in J 16.010 * [backup-simplify]: Simplify -1/2 into -1/2 16.010 * [taylor]: Taking taylor expansion of K in J 16.010 * [backup-simplify]: Simplify K into K 16.010 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.010 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.010 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.010 * [taylor]: Taking taylor expansion of J in J 16.010 * [backup-simplify]: Simplify 0 into 0 16.010 * [backup-simplify]: Simplify 1 into 1 16.010 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.010 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.010 * [backup-simplify]: Simplify (- 0) into 0 16.011 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.011 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.011 * [backup-simplify]: Simplify (+ 0) into 0 16.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.014 * [backup-simplify]: Simplify (- 0) into 0 16.014 * [backup-simplify]: Simplify (+ 0 0) into 0 16.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 16.015 * [taylor]: Taking taylor expansion of 0 in K 16.015 * [backup-simplify]: Simplify 0 into 0 16.015 * [backup-simplify]: Simplify 0 into 0 16.015 * [taylor]: Taking taylor expansion of 0 in K 16.015 * [backup-simplify]: Simplify 0 into 0 16.015 * [backup-simplify]: Simplify 0 into 0 16.016 * [backup-simplify]: Simplify (+ 0) into 0 16.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.018 * [backup-simplify]: Simplify (- 0) into 0 16.018 * [backup-simplify]: Simplify (+ 0 0) into 0 16.019 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 16.019 * [taylor]: Taking taylor expansion of 0 in K 16.019 * [backup-simplify]: Simplify 0 into 0 16.019 * [backup-simplify]: Simplify 0 into 0 16.019 * [backup-simplify]: Simplify 0 into 0 16.020 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.020 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 16.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.023 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.027 * [backup-simplify]: Simplify (- 0) into 0 16.027 * [backup-simplify]: Simplify (+ 0 0) into 0 16.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 16.030 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.030 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.032 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.032 * [backup-simplify]: Simplify (+ 0 0) into 0 16.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.033 * [taylor]: Taking taylor expansion of 0 in J 16.033 * [backup-simplify]: Simplify 0 into 0 16.033 * [taylor]: Taking taylor expansion of 0 in K 16.033 * [backup-simplify]: Simplify 0 into 0 16.033 * [backup-simplify]: Simplify 0 into 0 16.033 * [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))) 16.033 * * * * [progress]: [ 2 / 4 ] generating series at (2) 16.034 * [backup-simplify]: Simplify (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 16.034 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 16.034 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 16.034 * [taylor]: Taking taylor expansion of -2 in U 16.034 * [backup-simplify]: Simplify -2 into -2 16.034 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 16.034 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 16.034 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.034 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.034 * [taylor]: Taking taylor expansion of 1/2 in U 16.034 * [backup-simplify]: Simplify 1/2 into 1/2 16.034 * [taylor]: Taking taylor expansion of K in U 16.034 * [backup-simplify]: Simplify K into K 16.034 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.034 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.034 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.034 * [taylor]: Taking taylor expansion of J in U 16.034 * [backup-simplify]: Simplify J into J 16.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 16.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 16.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 16.035 * [taylor]: Taking taylor expansion of 1/4 in U 16.035 * [backup-simplify]: Simplify 1/4 into 1/4 16.035 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 16.035 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.035 * [taylor]: Taking taylor expansion of U in U 16.035 * [backup-simplify]: Simplify 0 into 0 16.035 * [backup-simplify]: Simplify 1 into 1 16.035 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 16.035 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 16.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.035 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.035 * [taylor]: Taking taylor expansion of 1/2 in U 16.035 * [backup-simplify]: Simplify 1/2 into 1/2 16.035 * [taylor]: Taking taylor expansion of K in U 16.035 * [backup-simplify]: Simplify K into K 16.035 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.035 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.035 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.035 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.035 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.036 * [backup-simplify]: Simplify (- 0) into 0 16.036 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.036 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.036 * [taylor]: Taking taylor expansion of J in U 16.036 * [backup-simplify]: Simplify J into J 16.036 * [backup-simplify]: Simplify (* 1 1) into 1 16.036 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.036 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.037 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 16.037 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.037 * [taylor]: Taking taylor expansion of 1 in U 16.037 * [backup-simplify]: Simplify 1 into 1 16.038 * [backup-simplify]: Simplify (+ 0 1) into 1 16.038 * [backup-simplify]: Simplify (sqrt 1) into 1 16.042 * [backup-simplify]: Simplify (+ 0 0) into 0 16.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.044 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 16.044 * [taylor]: Taking taylor expansion of -2 in K 16.044 * [backup-simplify]: Simplify -2 into -2 16.044 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 16.044 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 16.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.044 * [taylor]: Taking taylor expansion of 1/2 in K 16.044 * [backup-simplify]: Simplify 1/2 into 1/2 16.044 * [taylor]: Taking taylor expansion of K in K 16.044 * [backup-simplify]: Simplify 0 into 0 16.044 * [backup-simplify]: Simplify 1 into 1 16.044 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.045 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.045 * [taylor]: Taking taylor expansion of J in K 16.045 * [backup-simplify]: Simplify J into J 16.045 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 16.045 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 16.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 16.045 * [taylor]: Taking taylor expansion of 1/4 in K 16.045 * [backup-simplify]: Simplify 1/4 into 1/4 16.046 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 16.046 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.046 * [taylor]: Taking taylor expansion of U in K 16.046 * [backup-simplify]: Simplify U into U 16.046 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 16.046 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 16.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.046 * [taylor]: Taking taylor expansion of 1/2 in K 16.046 * [backup-simplify]: Simplify 1/2 into 1/2 16.046 * [taylor]: Taking taylor expansion of K in K 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 1 into 1 16.046 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.047 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.047 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.047 * [taylor]: Taking taylor expansion of J in K 16.047 * [backup-simplify]: Simplify J into J 16.047 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.048 * [backup-simplify]: Simplify (* 1 1) into 1 16.048 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.048 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 16.048 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 16.048 * [taylor]: Taking taylor expansion of 1 in K 16.048 * [backup-simplify]: Simplify 1 into 1 16.048 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 16.049 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 16.049 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 16.049 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.049 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.050 * [backup-simplify]: Simplify (+ 0) into 0 16.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 16.051 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 16.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 16.052 * [backup-simplify]: Simplify (+ 0 0) into 0 16.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 16.053 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 16.053 * [taylor]: Taking taylor expansion of -2 in J 16.053 * [backup-simplify]: Simplify -2 into -2 16.053 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 16.053 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.053 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.053 * [taylor]: Taking taylor expansion of 1/2 in J 16.053 * [backup-simplify]: Simplify 1/2 into 1/2 16.053 * [taylor]: Taking taylor expansion of K in J 16.053 * [backup-simplify]: Simplify K into K 16.053 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.053 * [taylor]: Taking taylor expansion of J in J 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 16.053 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 16.053 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 16.053 * [taylor]: Taking taylor expansion of 1/4 in J 16.053 * [backup-simplify]: Simplify 1/4 into 1/4 16.054 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 16.054 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.054 * [taylor]: Taking taylor expansion of U in J 16.054 * [backup-simplify]: Simplify U into U 16.054 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 16.054 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 16.054 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.054 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.054 * [taylor]: Taking taylor expansion of 1/2 in J 16.054 * [backup-simplify]: Simplify 1/2 into 1/2 16.054 * [taylor]: Taking taylor expansion of K in J 16.054 * [backup-simplify]: Simplify K into K 16.054 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.054 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.054 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.054 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.055 * [backup-simplify]: Simplify (- 0) into 0 16.055 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.055 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.055 * [taylor]: Taking taylor expansion of J in J 16.055 * [backup-simplify]: Simplify 0 into 0 16.055 * [backup-simplify]: Simplify 1 into 1 16.055 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.055 * [backup-simplify]: Simplify (* 1 1) into 1 16.056 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 16.056 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 16.056 * [taylor]: Taking taylor expansion of 1 in J 16.056 * [backup-simplify]: Simplify 1 into 1 16.056 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.057 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.057 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.057 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.058 * [backup-simplify]: Simplify (+ 0) into 0 16.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.060 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.061 * [backup-simplify]: Simplify (- 0) into 0 16.061 * [backup-simplify]: Simplify (+ 0 0) into 0 16.061 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 16.062 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 16.063 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 16.063 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 16.064 * [backup-simplify]: Simplify (+ 0 0) into 0 16.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 16.064 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 16.064 * [taylor]: Taking taylor expansion of -2 in J 16.064 * [backup-simplify]: Simplify -2 into -2 16.064 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 16.064 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.064 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.064 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.064 * [taylor]: Taking taylor expansion of 1/2 in J 16.064 * [backup-simplify]: Simplify 1/2 into 1/2 16.064 * [taylor]: Taking taylor expansion of K in J 16.064 * [backup-simplify]: Simplify K into K 16.064 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.064 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.065 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.065 * [taylor]: Taking taylor expansion of J in J 16.065 * [backup-simplify]: Simplify 0 into 0 16.065 * [backup-simplify]: Simplify 1 into 1 16.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 16.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 16.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 16.065 * [taylor]: Taking taylor expansion of 1/4 in J 16.065 * [backup-simplify]: Simplify 1/4 into 1/4 16.065 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 16.065 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.065 * [taylor]: Taking taylor expansion of U in J 16.065 * [backup-simplify]: Simplify U into U 16.065 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 16.065 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 16.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.065 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.065 * [taylor]: Taking taylor expansion of 1/2 in J 16.065 * [backup-simplify]: Simplify 1/2 into 1/2 16.065 * [taylor]: Taking taylor expansion of K in J 16.065 * [backup-simplify]: Simplify K into K 16.065 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.065 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.065 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.065 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.065 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.066 * [backup-simplify]: Simplify (- 0) into 0 16.066 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.066 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.066 * [taylor]: Taking taylor expansion of J in J 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 1 into 1 16.066 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.066 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.067 * [backup-simplify]: Simplify (* 1 1) into 1 16.067 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 16.067 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 16.067 * [taylor]: Taking taylor expansion of 1 in J 16.067 * [backup-simplify]: Simplify 1 into 1 16.067 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.068 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.068 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.068 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.069 * [backup-simplify]: Simplify (+ 0) into 0 16.070 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.072 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.072 * [backup-simplify]: Simplify (- 0) into 0 16.072 * [backup-simplify]: Simplify (+ 0 0) into 0 16.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 16.073 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 16.074 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 16.074 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 16.075 * [backup-simplify]: Simplify (+ 0 0) into 0 16.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 16.075 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.075 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.076 * [backup-simplify]: Simplify (- 0) into 0 16.076 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.076 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.076 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 16.077 * [backup-simplify]: Simplify (* -2 0) into 0 16.077 * [taylor]: Taking taylor expansion of 0 in K 16.077 * [backup-simplify]: Simplify 0 into 0 16.077 * [taylor]: Taking taylor expansion of 0 in U 16.077 * [backup-simplify]: Simplify 0 into 0 16.077 * [backup-simplify]: Simplify 0 into 0 16.077 * [backup-simplify]: Simplify (+ 0) into 0 16.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.080 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.080 * [backup-simplify]: Simplify (- 0) into 0 16.080 * [backup-simplify]: Simplify (+ 0 0) into 0 16.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 16.081 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 16.082 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 16.082 * [taylor]: Taking taylor expansion of (- U) in K 16.082 * [taylor]: Taking taylor expansion of U in K 16.082 * [backup-simplify]: Simplify U into U 16.082 * [backup-simplify]: Simplify (- U) into (- U) 16.082 * [taylor]: Taking taylor expansion of (- U) in U 16.082 * [taylor]: Taking taylor expansion of U in U 16.082 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify 1 into 1 16.083 * [backup-simplify]: Simplify (- 0) into 0 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [taylor]: Taking taylor expansion of 0 in U 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 16.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.089 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.089 * [backup-simplify]: Simplify (- 0) into 0 16.089 * [backup-simplify]: Simplify (+ 0 0) into 0 16.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 16.091 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 16.092 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 16.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 16.093 * [backup-simplify]: Simplify (+ 0 1) into 1 16.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 16.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.096 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.098 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.099 * [backup-simplify]: Simplify (- 0) into 0 16.099 * [backup-simplify]: Simplify (+ 0 0) into 0 16.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.100 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 16.101 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 16.101 * [taylor]: Taking taylor expansion of 0 in K 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [taylor]: Taking taylor expansion of 0 in U 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify (- 0) into 0 16.102 * [taylor]: Taking taylor expansion of 0 in U 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 16.103 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 16.103 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 16.103 * [taylor]: Taking taylor expansion of -2 in U 16.103 * [backup-simplify]: Simplify -2 into -2 16.103 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 16.103 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 16.103 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 16.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 16.103 * [taylor]: Taking taylor expansion of 1/4 in U 16.103 * [backup-simplify]: Simplify 1/4 into 1/4 16.103 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 16.103 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.103 * [taylor]: Taking taylor expansion of J in U 16.103 * [backup-simplify]: Simplify J into J 16.103 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 16.103 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.103 * [taylor]: Taking taylor expansion of U in U 16.103 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify 1 into 1 16.103 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 16.103 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.103 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.103 * [taylor]: Taking taylor expansion of 1/2 in U 16.103 * [backup-simplify]: Simplify 1/2 into 1/2 16.103 * [taylor]: Taking taylor expansion of K in U 16.103 * [backup-simplify]: Simplify K into K 16.103 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.104 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.104 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.104 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.104 * [backup-simplify]: Simplify (- 0) into 0 16.104 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.104 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.105 * [backup-simplify]: Simplify (* 1 1) into 1 16.105 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.105 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 16.105 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 16.105 * [taylor]: Taking taylor expansion of 1 in U 16.106 * [backup-simplify]: Simplify 1 into 1 16.106 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.106 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.106 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.107 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.107 * [backup-simplify]: Simplify (+ 0) into 0 16.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.109 * [backup-simplify]: Simplify (- 0) into 0 16.110 * [backup-simplify]: Simplify (+ 0 0) into 0 16.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.112 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 16.113 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 16.113 * [backup-simplify]: Simplify (+ 0 0) into 0 16.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.113 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 16.113 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.113 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.113 * [taylor]: Taking taylor expansion of 1/2 in U 16.113 * [backup-simplify]: Simplify 1/2 into 1/2 16.113 * [taylor]: Taking taylor expansion of K in U 16.114 * [backup-simplify]: Simplify K into K 16.114 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.114 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.114 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.114 * [taylor]: Taking taylor expansion of J in U 16.114 * [backup-simplify]: Simplify J into J 16.114 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.114 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.114 * [backup-simplify]: Simplify (- 0) into 0 16.114 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.115 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 16.115 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 16.115 * [taylor]: Taking taylor expansion of -2 in K 16.115 * [backup-simplify]: Simplify -2 into -2 16.115 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 16.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 16.115 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 16.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 16.115 * [taylor]: Taking taylor expansion of 1/4 in K 16.115 * [backup-simplify]: Simplify 1/4 into 1/4 16.115 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 16.115 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.115 * [taylor]: Taking taylor expansion of J in K 16.115 * [backup-simplify]: Simplify J into J 16.115 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 16.115 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.115 * [taylor]: Taking taylor expansion of U in K 16.115 * [backup-simplify]: Simplify U into U 16.115 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 16.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.115 * [taylor]: Taking taylor expansion of 1/2 in K 16.115 * [backup-simplify]: Simplify 1/2 into 1/2 16.115 * [taylor]: Taking taylor expansion of K in K 16.115 * [backup-simplify]: Simplify 0 into 0 16.115 * [backup-simplify]: Simplify 1 into 1 16.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.116 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.116 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.116 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.116 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 16.117 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.117 * [taylor]: Taking taylor expansion of 1 in K 16.117 * [backup-simplify]: Simplify 1 into 1 16.117 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 16.117 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 16.118 * [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)) 16.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.118 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.119 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.119 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 16.121 * [backup-simplify]: Simplify (+ 0 0) into 0 16.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 16.121 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 16.121 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.121 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.121 * [taylor]: Taking taylor expansion of 1/2 in K 16.121 * [backup-simplify]: Simplify 1/2 into 1/2 16.121 * [taylor]: Taking taylor expansion of K in K 16.121 * [backup-simplify]: Simplify 0 into 0 16.121 * [backup-simplify]: Simplify 1 into 1 16.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.122 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.122 * [taylor]: Taking taylor expansion of J in K 16.122 * [backup-simplify]: Simplify J into J 16.122 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 16.122 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 16.122 * [taylor]: Taking taylor expansion of -2 in J 16.122 * [backup-simplify]: Simplify -2 into -2 16.122 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 16.122 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 16.122 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 16.122 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 16.122 * [taylor]: Taking taylor expansion of 1/4 in J 16.122 * [backup-simplify]: Simplify 1/4 into 1/4 16.122 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 16.122 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.122 * [taylor]: Taking taylor expansion of J in J 16.122 * [backup-simplify]: Simplify 0 into 0 16.123 * [backup-simplify]: Simplify 1 into 1 16.123 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 16.123 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.123 * [taylor]: Taking taylor expansion of U in J 16.123 * [backup-simplify]: Simplify U into U 16.123 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 16.123 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.123 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.123 * [taylor]: Taking taylor expansion of 1/2 in J 16.123 * [backup-simplify]: Simplify 1/2 into 1/2 16.123 * [taylor]: Taking taylor expansion of K in J 16.123 * [backup-simplify]: Simplify K into K 16.123 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.123 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.123 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.123 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.123 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.124 * [backup-simplify]: Simplify (- 0) into 0 16.124 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.124 * [backup-simplify]: Simplify (* 1 1) into 1 16.124 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.124 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.124 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 16.125 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.125 * [taylor]: Taking taylor expansion of 1 in J 16.125 * [backup-simplify]: Simplify 1 into 1 16.125 * [backup-simplify]: Simplify (+ 0 1) into 1 16.126 * [backup-simplify]: Simplify (sqrt 1) into 1 16.126 * [backup-simplify]: Simplify (+ 0 0) into 0 16.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.127 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 16.127 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.127 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.127 * [taylor]: Taking taylor expansion of 1/2 in J 16.127 * [backup-simplify]: Simplify 1/2 into 1/2 16.127 * [taylor]: Taking taylor expansion of K in J 16.127 * [backup-simplify]: Simplify K into K 16.127 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.127 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.127 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.127 * [taylor]: Taking taylor expansion of J in J 16.127 * [backup-simplify]: Simplify 0 into 0 16.127 * [backup-simplify]: Simplify 1 into 1 16.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.127 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.128 * [backup-simplify]: Simplify (- 0) into 0 16.128 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.128 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.128 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 16.128 * [taylor]: Taking taylor expansion of -2 in J 16.128 * [backup-simplify]: Simplify -2 into -2 16.128 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 16.128 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 16.128 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 16.129 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 16.129 * [taylor]: Taking taylor expansion of 1/4 in J 16.129 * [backup-simplify]: Simplify 1/4 into 1/4 16.129 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 16.129 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.129 * [taylor]: Taking taylor expansion of J in J 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 16.129 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.129 * [taylor]: Taking taylor expansion of U in J 16.129 * [backup-simplify]: Simplify U into U 16.129 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 16.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.129 * [taylor]: Taking taylor expansion of 1/2 in J 16.129 * [backup-simplify]: Simplify 1/2 into 1/2 16.129 * [taylor]: Taking taylor expansion of K in J 16.129 * [backup-simplify]: Simplify K into K 16.129 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.129 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.129 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.129 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.129 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.130 * [backup-simplify]: Simplify (- 0) into 0 16.130 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.130 * [backup-simplify]: Simplify (* 1 1) into 1 16.130 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.130 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.131 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 16.131 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.131 * [taylor]: Taking taylor expansion of 1 in J 16.131 * [backup-simplify]: Simplify 1 into 1 16.131 * [backup-simplify]: Simplify (+ 0 1) into 1 16.132 * [backup-simplify]: Simplify (sqrt 1) into 1 16.132 * [backup-simplify]: Simplify (+ 0 0) into 0 16.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.133 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 16.133 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.133 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.133 * [taylor]: Taking taylor expansion of 1/2 in J 16.133 * [backup-simplify]: Simplify 1/2 into 1/2 16.133 * [taylor]: Taking taylor expansion of K in J 16.133 * [backup-simplify]: Simplify K into K 16.133 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.133 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.133 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.133 * [taylor]: Taking taylor expansion of J in J 16.133 * [backup-simplify]: Simplify 0 into 0 16.133 * [backup-simplify]: Simplify 1 into 1 16.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.133 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.134 * [backup-simplify]: Simplify (- 0) into 0 16.134 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.134 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.134 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 16.134 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 16.134 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 16.134 * [taylor]: Taking taylor expansion of -2 in K 16.134 * [backup-simplify]: Simplify -2 into -2 16.134 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.134 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.134 * [taylor]: Taking taylor expansion of 1/2 in K 16.134 * [backup-simplify]: Simplify 1/2 into 1/2 16.134 * [taylor]: Taking taylor expansion of K in K 16.134 * [backup-simplify]: Simplify 0 into 0 16.134 * [backup-simplify]: Simplify 1 into 1 16.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.135 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.135 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 16.135 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 16.135 * [taylor]: Taking taylor expansion of -2 in U 16.135 * [backup-simplify]: Simplify -2 into -2 16.135 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.135 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.135 * [taylor]: Taking taylor expansion of 1/2 in U 16.135 * [backup-simplify]: Simplify 1/2 into 1/2 16.135 * [taylor]: Taking taylor expansion of K in U 16.135 * [backup-simplify]: Simplify K into K 16.135 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.135 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.135 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.136 * [backup-simplify]: Simplify (+ 0) into 0 16.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.137 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.138 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.138 * [backup-simplify]: Simplify (- 0) into 0 16.139 * [backup-simplify]: Simplify (+ 0 0) into 0 16.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 16.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 16.141 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 16.141 * [taylor]: Taking taylor expansion of 0 in K 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [taylor]: Taking taylor expansion of 0 in U 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 16.141 * [taylor]: Taking taylor expansion of 0 in U 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.141 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.142 * [backup-simplify]: Simplify (- 0) into 0 16.142 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.142 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 16.142 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 16.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.146 * [backup-simplify]: Simplify (- 0) into 0 16.146 * [backup-simplify]: Simplify (+ 0 0) into 0 16.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.148 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.148 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 16.150 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 16.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 16.151 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 16.152 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 16.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 16.152 * [taylor]: Taking taylor expansion of 1/4 in K 16.152 * [backup-simplify]: Simplify 1/4 into 1/4 16.152 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 16.152 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 16.152 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.152 * [taylor]: Taking taylor expansion of U in K 16.152 * [backup-simplify]: Simplify U into U 16.152 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.152 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.152 * [taylor]: Taking taylor expansion of 1/2 in K 16.152 * [backup-simplify]: Simplify 1/2 into 1/2 16.152 * [taylor]: Taking taylor expansion of K in K 16.152 * [backup-simplify]: Simplify 0 into 0 16.152 * [backup-simplify]: Simplify 1 into 1 16.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.152 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.153 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.153 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 16.153 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 16.153 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 16.153 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 16.153 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 16.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 16.153 * [taylor]: Taking taylor expansion of 1/4 in U 16.153 * [backup-simplify]: Simplify 1/4 into 1/4 16.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 16.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 16.153 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.153 * [taylor]: Taking taylor expansion of U in U 16.154 * [backup-simplify]: Simplify 0 into 0 16.154 * [backup-simplify]: Simplify 1 into 1 16.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.154 * [taylor]: Taking taylor expansion of 1/2 in U 16.154 * [backup-simplify]: Simplify 1/2 into 1/2 16.154 * [taylor]: Taking taylor expansion of K in U 16.154 * [backup-simplify]: Simplify K into K 16.154 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.154 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.154 * [backup-simplify]: Simplify (* 1 1) into 1 16.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.154 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.155 * [backup-simplify]: Simplify (- 0) into 0 16.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.155 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 16.155 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 16.155 * [backup-simplify]: Simplify (+ 0) into 0 16.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.158 * [backup-simplify]: Simplify (- 0) into 0 16.158 * [backup-simplify]: Simplify (+ 0 0) into 0 16.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 16.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.160 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 16.161 * [backup-simplify]: Simplify (- 0) into 0 16.161 * [backup-simplify]: Simplify 0 into 0 16.161 * [taylor]: Taking taylor expansion of 0 in U 16.161 * [backup-simplify]: Simplify 0 into 0 16.162 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 16.162 * [taylor]: Taking taylor expansion of 0 in U 16.162 * [backup-simplify]: Simplify 0 into 0 16.162 * [backup-simplify]: Simplify 0 into 0 16.162 * [backup-simplify]: Simplify 0 into 0 16.162 * [backup-simplify]: Simplify (+ 0) into 0 16.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.164 * [backup-simplify]: Simplify (- 0) into 0 16.165 * [backup-simplify]: Simplify (+ 0 0) into 0 16.165 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 16.165 * [backup-simplify]: Simplify 0 into 0 16.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.170 * [backup-simplify]: Simplify (- 0) into 0 16.170 * [backup-simplify]: Simplify (+ 0 0) into 0 16.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.173 * [backup-simplify]: Simplify (+ 0) into 0 16.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.175 * [backup-simplify]: Simplify (- 0) into 0 16.176 * [backup-simplify]: Simplify (+ 0 0) into 0 16.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.176 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.176 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.177 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 16.178 * [backup-simplify]: Simplify (+ 0 0) into 0 16.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 16.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.181 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.181 * [taylor]: Taking taylor expansion of 0 in K 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [taylor]: Taking taylor expansion of 0 in U 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.181 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 16.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 16.183 * [backup-simplify]: Simplify (- 0) into 0 16.183 * [taylor]: Taking taylor expansion of 0 in U 16.183 * [backup-simplify]: Simplify 0 into 0 16.183 * [taylor]: Taking taylor expansion of 0 in U 16.183 * [backup-simplify]: Simplify 0 into 0 16.184 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.184 * [taylor]: Taking taylor expansion of 0 in U 16.184 * [backup-simplify]: Simplify 0 into 0 16.185 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.187 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.187 * [backup-simplify]: Simplify (- 0) into 0 16.188 * [backup-simplify]: Simplify (+ 0 0) into 0 16.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 16.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 16.191 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 16.191 * [backup-simplify]: Simplify (- 0) into 0 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 16.192 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 16.192 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 16.192 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 16.192 * [taylor]: Taking taylor expansion of 2 in U 16.192 * [backup-simplify]: Simplify 2 into 2 16.192 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 16.192 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 16.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.193 * [taylor]: Taking taylor expansion of -1/2 in U 16.193 * [backup-simplify]: Simplify -1/2 into -1/2 16.193 * [taylor]: Taking taylor expansion of K in U 16.193 * [backup-simplify]: Simplify K into K 16.193 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.193 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.193 * [taylor]: Taking taylor expansion of J in U 16.193 * [backup-simplify]: Simplify J into J 16.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.193 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.193 * [backup-simplify]: Simplify (- 0) into 0 16.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.194 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 16.194 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 16.194 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 16.194 * [taylor]: Taking taylor expansion of 1 in U 16.194 * [backup-simplify]: Simplify 1 into 1 16.194 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 16.194 * [taylor]: Taking taylor expansion of 1/4 in U 16.194 * [backup-simplify]: Simplify 1/4 into 1/4 16.194 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 16.194 * [taylor]: Taking taylor expansion of (pow J 2) in U 16.194 * [taylor]: Taking taylor expansion of J in U 16.194 * [backup-simplify]: Simplify J into J 16.194 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 16.194 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 16.194 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.194 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.194 * [taylor]: Taking taylor expansion of -1/2 in U 16.194 * [backup-simplify]: Simplify -1/2 into -1/2 16.194 * [taylor]: Taking taylor expansion of K in U 16.194 * [backup-simplify]: Simplify K into K 16.194 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.194 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.194 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.194 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.195 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.199 * [backup-simplify]: Simplify (- 0) into 0 16.200 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.200 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.200 * [taylor]: Taking taylor expansion of U in U 16.200 * [backup-simplify]: Simplify 0 into 0 16.200 * [backup-simplify]: Simplify 1 into 1 16.200 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.200 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.200 * [backup-simplify]: Simplify (* 1 1) into 1 16.201 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 16.201 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 16.201 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.202 * [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))) 16.202 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.202 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.203 * [backup-simplify]: Simplify (+ 0) into 0 16.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.205 * [backup-simplify]: Simplify (- 0) into 0 16.206 * [backup-simplify]: Simplify (+ 0 0) into 0 16.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.206 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 16.207 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 16.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 16.208 * [backup-simplify]: Simplify (+ 0 0) into 0 16.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.208 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 16.208 * [taylor]: Taking taylor expansion of 2 in K 16.208 * [backup-simplify]: Simplify 2 into 2 16.208 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 16.208 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 16.208 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.208 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.208 * [taylor]: Taking taylor expansion of -1/2 in K 16.208 * [backup-simplify]: Simplify -1/2 into -1/2 16.209 * [taylor]: Taking taylor expansion of K in K 16.209 * [backup-simplify]: Simplify 0 into 0 16.209 * [backup-simplify]: Simplify 1 into 1 16.209 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.209 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.209 * [taylor]: Taking taylor expansion of J in K 16.209 * [backup-simplify]: Simplify J into J 16.209 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 16.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 16.209 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 16.209 * [taylor]: Taking taylor expansion of 1 in K 16.209 * [backup-simplify]: Simplify 1 into 1 16.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 16.209 * [taylor]: Taking taylor expansion of 1/4 in K 16.209 * [backup-simplify]: Simplify 1/4 into 1/4 16.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 16.209 * [taylor]: Taking taylor expansion of (pow J 2) in K 16.209 * [taylor]: Taking taylor expansion of J in K 16.210 * [backup-simplify]: Simplify J into J 16.210 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 16.210 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 16.210 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.210 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.210 * [taylor]: Taking taylor expansion of -1/2 in K 16.210 * [backup-simplify]: Simplify -1/2 into -1/2 16.210 * [taylor]: Taking taylor expansion of K in K 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify 1 into 1 16.210 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.210 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.210 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.210 * [taylor]: Taking taylor expansion of U in K 16.210 * [backup-simplify]: Simplify U into U 16.210 * [backup-simplify]: Simplify (* J J) into (pow J 2) 16.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.211 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.211 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.211 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.211 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.212 * [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))))) 16.212 * [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)))))) 16.212 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 16.213 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.213 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 16.214 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 16.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 16.215 * [backup-simplify]: Simplify (+ 0 0) into 0 16.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 16.215 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 16.215 * [taylor]: Taking taylor expansion of 2 in J 16.216 * [backup-simplify]: Simplify 2 into 2 16.216 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 16.216 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 16.216 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.216 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.216 * [taylor]: Taking taylor expansion of -1/2 in J 16.216 * [backup-simplify]: Simplify -1/2 into -1/2 16.216 * [taylor]: Taking taylor expansion of K in J 16.216 * [backup-simplify]: Simplify K into K 16.216 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.216 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.216 * [taylor]: Taking taylor expansion of J in J 16.216 * [backup-simplify]: Simplify 0 into 0 16.216 * [backup-simplify]: Simplify 1 into 1 16.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.216 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.217 * [backup-simplify]: Simplify (- 0) into 0 16.217 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.217 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.217 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 16.217 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 16.217 * [taylor]: Taking taylor expansion of 1 in J 16.217 * [backup-simplify]: Simplify 1 into 1 16.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 16.217 * [taylor]: Taking taylor expansion of 1/4 in J 16.217 * [backup-simplify]: Simplify 1/4 into 1/4 16.217 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 16.217 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.217 * [taylor]: Taking taylor expansion of J in J 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify 1 into 1 16.217 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 16.217 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.217 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.217 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.217 * [taylor]: Taking taylor expansion of -1/2 in J 16.217 * [backup-simplify]: Simplify -1/2 into -1/2 16.217 * [taylor]: Taking taylor expansion of K in J 16.217 * [backup-simplify]: Simplify K into K 16.217 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.217 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.217 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.218 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.218 * [backup-simplify]: Simplify (- 0) into 0 16.218 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.218 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.218 * [taylor]: Taking taylor expansion of U in J 16.218 * [backup-simplify]: Simplify U into U 16.218 * [backup-simplify]: Simplify (* 1 1) into 1 16.219 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.219 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.219 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.219 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.219 * [backup-simplify]: Simplify (+ 1 0) into 1 16.219 * [backup-simplify]: Simplify (sqrt 1) into 1 16.220 * [backup-simplify]: Simplify (+ 0 0) into 0 16.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.220 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 16.220 * [taylor]: Taking taylor expansion of 2 in J 16.220 * [backup-simplify]: Simplify 2 into 2 16.220 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 16.220 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 16.220 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.220 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.220 * [taylor]: Taking taylor expansion of -1/2 in J 16.220 * [backup-simplify]: Simplify -1/2 into -1/2 16.220 * [taylor]: Taking taylor expansion of K in J 16.220 * [backup-simplify]: Simplify K into K 16.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.220 * [taylor]: Taking taylor expansion of J in J 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify 1 into 1 16.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.221 * [backup-simplify]: Simplify (- 0) into 0 16.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.221 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.221 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 16.221 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 16.221 * [taylor]: Taking taylor expansion of 1 in J 16.221 * [backup-simplify]: Simplify 1 into 1 16.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 16.221 * [taylor]: Taking taylor expansion of 1/4 in J 16.221 * [backup-simplify]: Simplify 1/4 into 1/4 16.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 16.221 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.221 * [taylor]: Taking taylor expansion of J in J 16.221 * [backup-simplify]: Simplify 0 into 0 16.221 * [backup-simplify]: Simplify 1 into 1 16.221 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 16.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.221 * [taylor]: Taking taylor expansion of -1/2 in J 16.221 * [backup-simplify]: Simplify -1/2 into -1/2 16.221 * [taylor]: Taking taylor expansion of K in J 16.221 * [backup-simplify]: Simplify K into K 16.221 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.221 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.222 * [backup-simplify]: Simplify (- 0) into 0 16.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.222 * [taylor]: Taking taylor expansion of (pow U 2) in J 16.222 * [taylor]: Taking taylor expansion of U in J 16.222 * [backup-simplify]: Simplify U into U 16.222 * [backup-simplify]: Simplify (* 1 1) into 1 16.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.222 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.222 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 16.223 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.223 * [backup-simplify]: Simplify (+ 1 0) into 1 16.223 * [backup-simplify]: Simplify (sqrt 1) into 1 16.223 * [backup-simplify]: Simplify (+ 0 0) into 0 16.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.224 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.224 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 16.224 * [taylor]: Taking taylor expansion of 2 in K 16.224 * [backup-simplify]: Simplify 2 into 2 16.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.224 * [taylor]: Taking taylor expansion of -1/2 in K 16.224 * [backup-simplify]: Simplify -1/2 into -1/2 16.224 * [taylor]: Taking taylor expansion of K in K 16.224 * [backup-simplify]: Simplify 0 into 0 16.224 * [backup-simplify]: Simplify 1 into 1 16.224 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.225 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.225 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 16.225 * [taylor]: Taking taylor expansion of 2 in U 16.225 * [backup-simplify]: Simplify 2 into 2 16.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.225 * [taylor]: Taking taylor expansion of -1/2 in U 16.225 * [backup-simplify]: Simplify -1/2 into -1/2 16.225 * [taylor]: Taking taylor expansion of K in U 16.225 * [backup-simplify]: Simplify K into K 16.225 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.225 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.225 * [backup-simplify]: Simplify (+ 0) into 0 16.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.226 * [backup-simplify]: Simplify (- 0) into 0 16.227 * [backup-simplify]: Simplify (+ 0 0) into 0 16.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 16.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 16.228 * [taylor]: Taking taylor expansion of 0 in K 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [taylor]: Taking taylor expansion of 0 in U 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 16.228 * [taylor]: Taking taylor expansion of 0 in U 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.228 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.229 * [backup-simplify]: Simplify (- 0) into 0 16.229 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.229 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.229 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 16.229 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.229 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.230 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 16.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.233 * [backup-simplify]: Simplify (- 0) into 0 16.233 * [backup-simplify]: Simplify (+ 0 0) into 0 16.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 16.235 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 16.235 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 16.235 * [taylor]: Taking taylor expansion of 1/4 in K 16.235 * [backup-simplify]: Simplify 1/4 into 1/4 16.235 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 16.235 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 16.235 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.235 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.235 * [taylor]: Taking taylor expansion of -1/2 in K 16.235 * [backup-simplify]: Simplify -1/2 into -1/2 16.235 * [taylor]: Taking taylor expansion of K in K 16.235 * [backup-simplify]: Simplify 0 into 0 16.235 * [backup-simplify]: Simplify 1 into 1 16.236 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.236 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.236 * [taylor]: Taking taylor expansion of (pow U 2) in K 16.236 * [taylor]: Taking taylor expansion of U in K 16.236 * [backup-simplify]: Simplify U into U 16.236 * [backup-simplify]: Simplify (* U U) into (pow U 2) 16.236 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 16.236 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 16.236 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 16.236 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 16.236 * [taylor]: Taking taylor expansion of 1/4 in U 16.236 * [backup-simplify]: Simplify 1/4 into 1/4 16.236 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 16.236 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.236 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.236 * [taylor]: Taking taylor expansion of -1/2 in U 16.236 * [backup-simplify]: Simplify -1/2 into -1/2 16.236 * [taylor]: Taking taylor expansion of K in U 16.236 * [backup-simplify]: Simplify K into K 16.236 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.236 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.236 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.236 * [taylor]: Taking taylor expansion of (pow U 2) in U 16.236 * [taylor]: Taking taylor expansion of U in U 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [backup-simplify]: Simplify 1 into 1 16.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.237 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.237 * [backup-simplify]: Simplify (- 0) into 0 16.237 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.237 * [backup-simplify]: Simplify (* 1 1) into 1 16.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.237 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 16.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.238 * [backup-simplify]: Simplify (+ 0) into 0 16.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.238 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.239 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.239 * [backup-simplify]: Simplify (- 0) into 0 16.240 * [backup-simplify]: Simplify (+ 0 0) into 0 16.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.240 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.240 * [backup-simplify]: Simplify 0 into 0 16.240 * [taylor]: Taking taylor expansion of 0 in U 16.240 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 16.241 * [taylor]: Taking taylor expansion of 0 in U 16.241 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify (+ 0) into 0 16.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.242 * [backup-simplify]: Simplify (- 0) into 0 16.243 * [backup-simplify]: Simplify (+ 0 0) into 0 16.243 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.244 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.244 * [backup-simplify]: Simplify (+ 0) into 0 16.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.244 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.245 * [backup-simplify]: Simplify (- 0) into 0 16.245 * [backup-simplify]: Simplify (+ 0 0) into 0 16.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.246 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 16.246 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 16.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 16.247 * [backup-simplify]: Simplify (+ 0 0) into 0 16.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 16.249 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.252 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.253 * [backup-simplify]: Simplify (- 0) into 0 16.253 * [backup-simplify]: Simplify (+ 0 0) into 0 16.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 16.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 16.257 * [taylor]: Taking taylor expansion of 0 in K 16.257 * [backup-simplify]: Simplify 0 into 0 16.257 * [taylor]: Taking taylor expansion of 0 in U 16.257 * [backup-simplify]: Simplify 0 into 0 16.257 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 16.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 16.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 16.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 16.258 * [taylor]: Taking taylor expansion of 0 in U 16.258 * [backup-simplify]: Simplify 0 into 0 16.259 * [taylor]: Taking taylor expansion of 0 in U 16.259 * [backup-simplify]: Simplify 0 into 0 16.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 16.260 * [taylor]: Taking taylor expansion of 0 in U 16.260 * [backup-simplify]: Simplify 0 into 0 16.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.263 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.265 * [backup-simplify]: Simplify (- 0) into 0 16.265 * [backup-simplify]: Simplify (+ 0 0) into 0 16.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.266 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 16.266 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 16.267 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 16.267 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 16.267 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 16.267 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.267 * [taylor]: Taking taylor expansion of 1/3 in K 16.267 * [backup-simplify]: Simplify 1/3 into 1/3 16.267 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.267 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.267 * [taylor]: Taking taylor expansion of 1/2 in K 16.267 * [backup-simplify]: Simplify 1/2 into 1/2 16.267 * [taylor]: Taking taylor expansion of K in K 16.267 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify 1 into 1 16.267 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.268 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.269 * [backup-simplify]: Simplify (log 1) into 0 16.269 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.269 * [backup-simplify]: Simplify (+ 0) into 0 16.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.276 * [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 16.277 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.277 * [backup-simplify]: Simplify (exp 0) into 1 16.277 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.277 * [taylor]: Taking taylor expansion of 1/3 in K 16.277 * [backup-simplify]: Simplify 1/3 into 1/3 16.277 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.277 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.277 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.277 * [taylor]: Taking taylor expansion of 1/2 in K 16.277 * [backup-simplify]: Simplify 1/2 into 1/2 16.277 * [taylor]: Taking taylor expansion of K in K 16.277 * [backup-simplify]: Simplify 0 into 0 16.277 * [backup-simplify]: Simplify 1 into 1 16.277 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.278 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.279 * [backup-simplify]: Simplify (log 1) into 0 16.279 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.280 * [backup-simplify]: Simplify (+ 0) into 0 16.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.286 * [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 16.287 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.287 * [backup-simplify]: Simplify (exp 0) into 1 16.287 * [backup-simplify]: Simplify 1 into 1 16.289 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 16.289 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 16.291 * [backup-simplify]: Simplify -1/24 into -1/24 16.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.299 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 16.303 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.303 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.307 * [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 16.314 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 16.315 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 16.317 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 16.317 * [backup-simplify]: Simplify -1/1152 into -1/1152 16.318 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 16.318 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 16.318 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 16.318 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.318 * [taylor]: Taking taylor expansion of 1/3 in K 16.318 * [backup-simplify]: Simplify 1/3 into 1/3 16.318 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.318 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.318 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.318 * [taylor]: Taking taylor expansion of 1/2 in K 16.318 * [backup-simplify]: Simplify 1/2 into 1/2 16.318 * [taylor]: Taking taylor expansion of K in K 16.318 * [backup-simplify]: Simplify 0 into 0 16.318 * [backup-simplify]: Simplify 1 into 1 16.318 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.319 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.319 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.319 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.319 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.319 * [taylor]: Taking taylor expansion of 1/3 in K 16.319 * [backup-simplify]: Simplify 1/3 into 1/3 16.319 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.319 * [taylor]: Taking taylor expansion of 1/2 in K 16.319 * [backup-simplify]: Simplify 1/2 into 1/2 16.319 * [taylor]: Taking taylor expansion of K in K 16.319 * [backup-simplify]: Simplify 0 into 0 16.319 * [backup-simplify]: Simplify 1 into 1 16.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.319 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.319 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.319 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.320 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 16.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 16.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 16.321 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.321 * [backup-simplify]: Simplify 0 into 0 16.322 * [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 16.323 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 16.328 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.328 * [backup-simplify]: Simplify 0 into 0 16.330 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 16.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 16.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.332 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 16.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 16.337 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.337 * [backup-simplify]: Simplify 0 into 0 16.344 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 16.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 16.350 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.350 * [backup-simplify]: Simplify 0 into 0 16.363 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 16.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 16.371 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.371 * [backup-simplify]: Simplify 0 into 0 16.371 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.372 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 16.372 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 16.372 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.372 * [taylor]: Taking taylor expansion of 1/3 in K 16.372 * [backup-simplify]: Simplify 1/3 into 1/3 16.372 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.372 * [taylor]: Taking taylor expansion of -1/2 in K 16.372 * [backup-simplify]: Simplify -1/2 into -1/2 16.372 * [taylor]: Taking taylor expansion of K in K 16.372 * [backup-simplify]: Simplify 0 into 0 16.372 * [backup-simplify]: Simplify 1 into 1 16.373 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.373 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.373 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.373 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.373 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.373 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.373 * [taylor]: Taking taylor expansion of 1/3 in K 16.373 * [backup-simplify]: Simplify 1/3 into 1/3 16.373 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.373 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.373 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.373 * [taylor]: Taking taylor expansion of -1/2 in K 16.373 * [backup-simplify]: Simplify -1/2 into -1/2 16.373 * [taylor]: Taking taylor expansion of K in K 16.373 * [backup-simplify]: Simplify 0 into 0 16.373 * [backup-simplify]: Simplify 1 into 1 16.374 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.374 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.374 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.374 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.374 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.375 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 16.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 16.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 16.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.377 * [backup-simplify]: Simplify 0 into 0 16.379 * [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 16.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 16.382 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.382 * [backup-simplify]: Simplify 0 into 0 16.385 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 16.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 16.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.388 * [backup-simplify]: Simplify 0 into 0 16.393 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 16.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 16.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.397 * [backup-simplify]: Simplify 0 into 0 16.405 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 16.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 16.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.411 * [backup-simplify]: Simplify 0 into 0 16.424 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 16.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 16.432 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.432 * [backup-simplify]: Simplify 0 into 0 16.433 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 16.433 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 16.433 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 16.433 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.433 * [taylor]: Taking taylor expansion of 1/3 in K 16.433 * [backup-simplify]: Simplify 1/3 into 1/3 16.433 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.433 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.433 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.433 * [taylor]: Taking taylor expansion of 1/2 in K 16.433 * [backup-simplify]: Simplify 1/2 into 1/2 16.433 * [taylor]: Taking taylor expansion of K in K 16.433 * [backup-simplify]: Simplify 0 into 0 16.433 * [backup-simplify]: Simplify 1 into 1 16.434 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.434 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.435 * [backup-simplify]: Simplify (log 1) into 0 16.435 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.436 * [backup-simplify]: Simplify (+ 0) into 0 16.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.442 * [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 16.443 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.443 * [backup-simplify]: Simplify (exp 0) into 1 16.443 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 16.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 16.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 16.443 * [taylor]: Taking taylor expansion of 1/3 in K 16.443 * [backup-simplify]: Simplify 1/3 into 1/3 16.443 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.443 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.443 * [taylor]: Taking taylor expansion of 1/2 in K 16.443 * [backup-simplify]: Simplify 1/2 into 1/2 16.443 * [taylor]: Taking taylor expansion of K in K 16.443 * [backup-simplify]: Simplify 0 into 0 16.443 * [backup-simplify]: Simplify 1 into 1 16.444 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.444 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.445 * [backup-simplify]: Simplify (log 1) into 0 16.445 * [backup-simplify]: Simplify (* 1/3 0) into 0 16.446 * [backup-simplify]: Simplify (+ 0) into 0 16.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 16.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.452 * [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 16.452 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 16.452 * [backup-simplify]: Simplify (exp 0) into 1 16.453 * [backup-simplify]: Simplify 1 into 1 16.454 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 16.454 * [backup-simplify]: Simplify 0 into 0 16.455 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 16.455 * [backup-simplify]: Simplify -1/24 into -1/24 16.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 16.458 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.472 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 16.476 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.476 * [backup-simplify]: Simplify 0 into 0 16.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.480 * [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 16.492 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 16.494 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 16.499 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 16.499 * [backup-simplify]: Simplify -1/1152 into -1/1152 16.499 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 16.499 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 16.499 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 16.499 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.499 * [taylor]: Taking taylor expansion of 1/3 in K 16.499 * [backup-simplify]: Simplify 1/3 into 1/3 16.499 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.500 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.500 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.500 * [taylor]: Taking taylor expansion of 1/2 in K 16.500 * [backup-simplify]: Simplify 1/2 into 1/2 16.500 * [taylor]: Taking taylor expansion of K in K 16.500 * [backup-simplify]: Simplify 0 into 0 16.500 * [backup-simplify]: Simplify 1 into 1 16.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.500 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.500 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.500 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.501 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.501 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 16.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 16.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 16.501 * [taylor]: Taking taylor expansion of 1/3 in K 16.501 * [backup-simplify]: Simplify 1/3 into 1/3 16.501 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 16.501 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.501 * [taylor]: Taking taylor expansion of 1/2 in K 16.501 * [backup-simplify]: Simplify 1/2 into 1/2 16.501 * [taylor]: Taking taylor expansion of K in K 16.501 * [backup-simplify]: Simplify 0 into 0 16.501 * [backup-simplify]: Simplify 1 into 1 16.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.501 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.502 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.502 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 16.502 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 16.502 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 16.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 16.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 16.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.504 * [backup-simplify]: Simplify 0 into 0 16.506 * [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 16.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 16.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.509 * [backup-simplify]: Simplify 0 into 0 16.512 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 16.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 16.515 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.515 * [backup-simplify]: Simplify 0 into 0 16.518 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 16.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 16.520 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.520 * [backup-simplify]: Simplify 0 into 0 16.525 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 16.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 16.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.529 * [backup-simplify]: Simplify 0 into 0 16.536 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 16.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 16.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.541 * [backup-simplify]: Simplify 0 into 0 16.541 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.541 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 16.541 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 16.541 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.541 * [taylor]: Taking taylor expansion of 1/3 in K 16.541 * [backup-simplify]: Simplify 1/3 into 1/3 16.541 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.542 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.542 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.542 * [taylor]: Taking taylor expansion of -1/2 in K 16.542 * [backup-simplify]: Simplify -1/2 into -1/2 16.542 * [taylor]: Taking taylor expansion of K in K 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 1 into 1 16.542 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.542 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.542 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.542 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.542 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.542 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 16.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 16.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 16.542 * [taylor]: Taking taylor expansion of 1/3 in K 16.542 * [backup-simplify]: Simplify 1/3 into 1/3 16.542 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 16.542 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.542 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.542 * [taylor]: Taking taylor expansion of -1/2 in K 16.542 * [backup-simplify]: Simplify -1/2 into -1/2 16.542 * [taylor]: Taking taylor expansion of K in K 16.542 * [backup-simplify]: Simplify 0 into 0 16.542 * [backup-simplify]: Simplify 1 into 1 16.543 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.543 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.543 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 16.543 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 16.543 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 16.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 16.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 16.545 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.545 * [backup-simplify]: Simplify 0 into 0 16.546 * [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 16.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 16.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.548 * [backup-simplify]: Simplify 0 into 0 16.552 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 16.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 16.555 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.555 * [backup-simplify]: Simplify 0 into 0 16.560 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 16.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 16.565 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.565 * [backup-simplify]: Simplify 0 into 0 16.574 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 16.576 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 16.580 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.580 * [backup-simplify]: Simplify 0 into 0 16.594 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 16.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 16.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.609 * [backup-simplify]: Simplify 0 into 0 16.609 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 16.609 * * * [progress]: simplifying candidates 16.609 * * * * [progress]: [ 1 / 90 ] simplifiying candidate # 16.609 * * * * [progress]: [ 2 / 90 ] simplifiying candidate # 16.609 * * * * [progress]: [ 3 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 4 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 5 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 6 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 7 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 8 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 9 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 10 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 11 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 12 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 13 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 14 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 15 / 90 ] simplifiying candidate # 16.610 * * * * [progress]: [ 16 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 17 / 90 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 16.611 * * * * [progress]: [ 18 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 19 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 20 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 21 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 22 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 23 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 24 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 25 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 26 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 27 / 90 ] simplifiying candidate # 16.611 * * * * [progress]: [ 28 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 29 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 30 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 31 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 32 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 33 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 34 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 35 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 36 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 37 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 38 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 39 / 90 ] simplifiying candidate # 16.612 * * * * [progress]: [ 40 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 41 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 42 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 43 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 44 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 45 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 46 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 47 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 48 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 49 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 50 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 51 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 52 / 90 ] simplifiying candidate # 16.613 * * * * [progress]: [ 53 / 90 ] simplifiying candidate #real (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))> 16.614 * * * * [progress]: [ 54 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 55 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 56 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 57 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 58 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 59 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 60 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 61 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 62 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 63 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 64 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 65 / 90 ] simplifiying candidate # 16.614 * * * * [progress]: [ 66 / 90 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 16.614 * * * * [progress]: [ 67 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 68 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 69 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 70 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 71 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 72 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 73 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 74 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 75 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 76 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 77 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 78 / 90 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> 16.615 * * * * [progress]: [ 79 / 90 ] simplifiying candidate # 16.615 * * * * [progress]: [ 80 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 81 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 82 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 83 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 84 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 85 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 86 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 87 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 88 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 89 / 90 ] simplifiying candidate # 16.616 * * * * [progress]: [ 90 / 90 ] simplifiying candidate # 16.618 * [simplify]: Simplifying: (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ 1 2) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt 1) (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3) 16.622 * * [simplify]: iteration 0: 147 enodes 16.689 * * [simplify]: iteration 1: 376 enodes 16.870 * * [simplify]: iteration 2: 1441 enodes 17.838 * * [simplify]: iteration complete: 5004 enodes 17.838 * * [simplify]: Extracting #0: cost 46 inf + 0 17.840 * * [simplify]: Extracting #1: cost 443 inf + 3 17.847 * * [simplify]: Extracting #2: cost 1449 inf + 760 17.859 * * [simplify]: Extracting #3: cost 1754 inf + 5378 17.873 * * [simplify]: Extracting #4: cost 1622 inf + 31693 17.900 * * [simplify]: Extracting #5: cost 1145 inf + 173932 17.977 * * [simplify]: Extracting #6: cost 619 inf + 376054 18.114 * * [simplify]: Extracting #7: cost 211 inf + 588827 18.296 * * [simplify]: Extracting #8: cost 10 inf + 706417 18.514 * * [simplify]: Extracting #9: cost 0 inf + 713074 18.735 * [simplify]: Simplified to: (log (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (exp (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (fabs (cbrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (sqrt (cbrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) 1 (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) 1 (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (sqrt (+ (* (* (/ U (* (* J (cos (/ K 2))) 2)) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))) (* (/ U (* (* J (cos (/ K 2))) 2)) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 1)) (sqrt (+ (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))) (- 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) (sqrt (- 1 (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) (sqrt (- 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 1/2 (sqrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (exp (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2)))))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (* (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (sqrt (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (sqrt (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (* (* (cbrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)))) (* J (* -2 (cos (/ K 2))))) (* (* J (* -2 (cos (/ K 2)))) (fabs (cbrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)))) (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)))) (* J (* -2 (cos (/ K 2)))) (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) (cbrt (cos (/ K 2)))) (* (sqrt (+ (* (* (/ U (* (* J (cos (/ K 2))) 2)) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))) (* (/ U (* (* J (cos (/ K 2))) 2)) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 1)) (* J (* -2 (cos (/ K 2))))) (* (sqrt (- 1 (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) (* J (* -2 (cos (/ K 2))))) (real->posit16 (* (* (sqrt (+ (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) 1)) J) (* -2 (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) 1 (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))) (exp (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))) 1 (cbrt (cos (/ K 2))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))) (cos (/ K 2)) (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))) (real->posit16 (cbrt (cos (/ K 2)))) 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) 0 (* (cos (* K 1/2)) (* J -2)) (* (cos (* K 1/2)) (* J -2)) (- (- 1 (* (* (* K K) (* K K)) 1/1152)) (* 1/24 (* K K))) (cbrt (cos (* K 1/2))) (cbrt (cos (* K 1/2))) (- (- 1 (* (* (* K K) (* K K)) 1/1152)) (* 1/24 (* K K))) (cbrt (cos (* K 1/2))) (cbrt (cos (* K 1/2))) 18.750 * * * [progress]: adding candidates to table 19.315 * [progress]: [Phase 3 of 3] Extracting. 19.315 * * [regime]: Finding splitpoints for: (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 19.322 * * * [regime-changes]: Trying 6 branch expressions: ((/ K 2) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U K J) 19.323 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 19.425 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 19.536 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 19.666 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# #) 19.750 * * * * [regimes]: Trying to branch on U from (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 19.912 * * * * [regimes]: Trying to branch on K from (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 20.057 * * * * [regimes]: Trying to branch on J from (# # # # #real (real->posit16 (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (cos (/ K 2)))))> # # # # #) 20.195 * * * [regime]: Found split indices: #