40.119 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.130 * [progress]: [Phase 2 of 3] Improving. 0.130 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.130 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.130 * * [simplify]: iteration 0: 17 enodes 0.134 * * [simplify]: iteration 1: 36 enodes 0.141 * * [simplify]: iteration 2: 81 enodes 0.160 * * [simplify]: iteration 3: 215 enodes 0.250 * * [simplify]: iteration 4: 782 enodes 0.562 * * [simplify]: iteration 5: 2090 enodes 0.945 * * [simplify]: iteration complete: 2090 enodes 0.945 * * [simplify]: Extracting #0: cost 1 inf + 0 0.946 * * [simplify]: Extracting #1: cost 91 inf + 0 0.947 * * [simplify]: Extracting #2: cost 131 inf + 44 0.957 * * [simplify]: Extracting #3: cost 117 inf + 717 0.959 * * [simplify]: Extracting #4: cost 341 inf + 1006 0.969 * * [simplify]: Extracting #5: cost 509 inf + 21867 0.994 * * [simplify]: Extracting #6: cost 316 inf + 82822 1.054 * * [simplify]: Extracting #7: cost 56 inf + 162896 1.122 * * [simplify]: Extracting #8: cost 2 inf + 188172 1.192 * * [simplify]: Extracting #9: cost 0 inf + 189122 1.262 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1.272 * * [progress]: iteration 1 / 4 1.273 * * * [progress]: picking best candidate 1.280 * * * * [pick]: Picked # 1.280 * * * [progress]: localizing error 1.334 * * * [progress]: generating rewritten candidates 1.334 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.474 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.720 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) 1.843 * * * [progress]: generating series expansions 1.843 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.844 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.844 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 1.844 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.844 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.844 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.844 * [taylor]: Taking taylor expansion of 1/4 in J 1.844 * [backup-simplify]: Simplify 1/4 into 1/4 1.844 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.844 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.844 * [taylor]: Taking taylor expansion of U in J 1.844 * [backup-simplify]: Simplify U into U 1.844 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.844 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.844 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.844 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.844 * [taylor]: Taking taylor expansion of 1/2 in J 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [taylor]: Taking taylor expansion of K in J 1.845 * [backup-simplify]: Simplify K into K 1.845 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.845 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.845 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.845 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.845 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.846 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.846 * [taylor]: Taking taylor expansion of J in J 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.846 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.846 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.847 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.847 * [taylor]: Taking taylor expansion of 1 in J 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.847 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.847 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.848 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify (+ 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.854 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.855 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.857 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.857 * [taylor]: Taking taylor expansion of 1/4 in K 1.857 * [backup-simplify]: Simplify 1/4 into 1/4 1.857 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.857 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.857 * [taylor]: Taking taylor expansion of U in K 1.857 * [backup-simplify]: Simplify U into U 1.857 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.857 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.857 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.857 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.857 * [taylor]: Taking taylor expansion of 1/2 in K 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of K in K 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.858 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.858 * [taylor]: Taking taylor expansion of J in K 1.858 * [backup-simplify]: Simplify J into J 1.859 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.859 * [backup-simplify]: Simplify (* 1 1) into 1 1.859 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.859 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.859 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.859 * [taylor]: Taking taylor expansion of 1 in K 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.860 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.860 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.860 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.860 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.860 * [backup-simplify]: Simplify (+ 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.863 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.863 * [taylor]: Taking taylor expansion of 1/4 in U 1.863 * [backup-simplify]: Simplify 1/4 into 1/4 1.863 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.863 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.863 * [taylor]: Taking taylor expansion of U in U 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.863 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.864 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.864 * [taylor]: Taking taylor expansion of 1/2 in U 1.864 * [backup-simplify]: Simplify 1/2 into 1/2 1.864 * [taylor]: Taking taylor expansion of K in U 1.864 * [backup-simplify]: Simplify K into K 1.864 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.864 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.864 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.864 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.864 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.865 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.865 * [taylor]: Taking taylor expansion of J in U 1.865 * [backup-simplify]: Simplify J into J 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.865 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.865 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.865 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.866 * [taylor]: Taking taylor expansion of 1 in U 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (+ 0 1) into 1 1.866 * [backup-simplify]: Simplify (sqrt 1) into 1 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.868 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.868 * [taylor]: Taking taylor expansion of 1/4 in U 1.868 * [backup-simplify]: Simplify 1/4 into 1/4 1.868 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.868 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.868 * [taylor]: Taking taylor expansion of U in U 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.868 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.868 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.868 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.868 * [taylor]: Taking taylor expansion of 1/2 in U 1.868 * [backup-simplify]: Simplify 1/2 into 1/2 1.868 * [taylor]: Taking taylor expansion of K in U 1.868 * [backup-simplify]: Simplify K into K 1.868 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.868 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.868 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.868 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.869 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.869 * [taylor]: Taking taylor expansion of J in U 1.869 * [backup-simplify]: Simplify J into J 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.869 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.869 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.870 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.870 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.870 * [taylor]: Taking taylor expansion of 1 in U 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (+ 0 1) into 1 1.871 * [backup-simplify]: Simplify (sqrt 1) into 1 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.872 * [taylor]: Taking taylor expansion of 1 in K 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of 1 in J 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of 0 in K 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [taylor]: Taking taylor expansion of 0 in J 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [taylor]: Taking taylor expansion of 0 in J 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.873 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.874 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.874 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.874 * [taylor]: Taking taylor expansion of 1/8 in K 1.874 * [backup-simplify]: Simplify 1/8 into 1/8 1.874 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.874 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.874 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.874 * [taylor]: Taking taylor expansion of 1/2 in K 1.874 * [backup-simplify]: Simplify 1/2 into 1/2 1.874 * [taylor]: Taking taylor expansion of K in K 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.876 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.876 * [taylor]: Taking taylor expansion of J in K 1.876 * [backup-simplify]: Simplify J into J 1.876 * [backup-simplify]: Simplify (* 1 1) into 1 1.876 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.876 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.876 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.876 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.876 * [taylor]: Taking taylor expansion of 1/8 in J 1.876 * [backup-simplify]: Simplify 1/8 into 1/8 1.876 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.876 * [taylor]: Taking taylor expansion of J in J 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [taylor]: Taking taylor expansion of 0 in J 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [taylor]: Taking taylor expansion of 0 in J 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.880 * [backup-simplify]: Simplify (+ 0) into 0 1.881 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.882 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.886 * [taylor]: Taking taylor expansion of 0 in K 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [taylor]: Taking taylor expansion of 0 in J 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.886 * [backup-simplify]: Simplify (+ 0) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.888 * [taylor]: Taking taylor expansion of 0 in J 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [taylor]: Taking taylor expansion of 0 in J 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [taylor]: Taking taylor expansion of 0 in J 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.891 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 1.891 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.891 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.891 * [taylor]: Taking taylor expansion of 1/4 in J 1.891 * [backup-simplify]: Simplify 1/4 into 1/4 1.891 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.891 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.891 * [taylor]: Taking taylor expansion of J in J 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.891 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.891 * [taylor]: Taking taylor expansion of U in J 1.891 * [backup-simplify]: Simplify U into U 1.891 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.891 * [taylor]: Taking taylor expansion of 1/2 in J 1.891 * [backup-simplify]: Simplify 1/2 into 1/2 1.891 * [taylor]: Taking taylor expansion of K in J 1.891 * [backup-simplify]: Simplify K into K 1.891 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.891 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.891 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.891 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.892 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.893 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.893 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.893 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.893 * [taylor]: Taking taylor expansion of 1 in J 1.893 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (+ 0 1) into 1 1.894 * [backup-simplify]: Simplify (sqrt 1) into 1 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.895 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.895 * [taylor]: Taking taylor expansion of 1/4 in K 1.895 * [backup-simplify]: Simplify 1/4 into 1/4 1.895 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.896 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.896 * [taylor]: Taking taylor expansion of J in K 1.896 * [backup-simplify]: Simplify J into J 1.896 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.896 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.896 * [taylor]: Taking taylor expansion of U in K 1.896 * [backup-simplify]: Simplify U into U 1.896 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.896 * [taylor]: Taking taylor expansion of 1/2 in K 1.896 * [backup-simplify]: Simplify 1/2 into 1/2 1.896 * [taylor]: Taking taylor expansion of K in K 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.896 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.896 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.897 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.897 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.897 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.897 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.897 * [taylor]: Taking taylor expansion of 1 in K 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.898 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.898 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.898 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.899 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.901 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.901 * [taylor]: Taking taylor expansion of 1/4 in U 1.901 * [backup-simplify]: Simplify 1/4 into 1/4 1.901 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.901 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.901 * [taylor]: Taking taylor expansion of J in U 1.901 * [backup-simplify]: Simplify J into J 1.901 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.901 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.901 * [taylor]: Taking taylor expansion of U in U 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.901 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.901 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.901 * [taylor]: Taking taylor expansion of 1/2 in U 1.901 * [backup-simplify]: Simplify 1/2 into 1/2 1.901 * [taylor]: Taking taylor expansion of K in U 1.901 * [backup-simplify]: Simplify K into K 1.901 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.902 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.903 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.903 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.903 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.903 * [taylor]: Taking taylor expansion of 1 in U 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.904 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.904 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.904 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.904 * [backup-simplify]: Simplify (+ 0) into 0 1.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.909 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.910 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.910 * [taylor]: Taking taylor expansion of 1/4 in U 1.910 * [backup-simplify]: Simplify 1/4 into 1/4 1.910 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.910 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.910 * [taylor]: Taking taylor expansion of J in U 1.910 * [backup-simplify]: Simplify J into J 1.910 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.910 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.910 * [taylor]: Taking taylor expansion of U in U 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.910 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.911 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.911 * [taylor]: Taking taylor expansion of 1/2 in U 1.911 * [backup-simplify]: Simplify 1/2 into 1/2 1.911 * [taylor]: Taking taylor expansion of K in U 1.911 * [backup-simplify]: Simplify K into K 1.911 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.911 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.911 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.911 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.911 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.912 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.912 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.912 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.912 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.912 * [taylor]: Taking taylor expansion of 1 in U 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.913 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.913 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.913 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.914 * [backup-simplify]: Simplify (+ 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.918 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.920 * [taylor]: Taking taylor expansion of 1/2 in K 1.920 * [backup-simplify]: Simplify 1/2 into 1/2 1.920 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.920 * [taylor]: Taking taylor expansion of J in K 1.920 * [backup-simplify]: Simplify J into J 1.920 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.920 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.920 * [taylor]: Taking taylor expansion of 1/2 in K 1.920 * [backup-simplify]: Simplify 1/2 into 1/2 1.920 * [taylor]: Taking taylor expansion of K in K 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.921 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.921 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.921 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.921 * [taylor]: Taking taylor expansion of 1/2 in J 1.921 * [backup-simplify]: Simplify 1/2 into 1/2 1.921 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.921 * [taylor]: Taking taylor expansion of J in J 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.921 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.921 * [taylor]: Taking taylor expansion of 1/2 in J 1.921 * [backup-simplify]: Simplify 1/2 into 1/2 1.921 * [taylor]: Taking taylor expansion of K in J 1.921 * [backup-simplify]: Simplify K into K 1.921 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.921 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.921 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.921 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.922 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.922 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.922 * [taylor]: Taking taylor expansion of 0 in K 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [taylor]: Taking taylor expansion of 0 in J 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.923 * [taylor]: Taking taylor expansion of 0 in J 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.924 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.924 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.928 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 1) into 1 1.933 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.933 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.933 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.933 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.933 * [taylor]: Taking taylor expansion of 1/2 in K 1.933 * [backup-simplify]: Simplify 1/2 into 1/2 1.933 * [taylor]: Taking taylor expansion of K in K 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.934 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.934 * [taylor]: Taking taylor expansion of J in K 1.934 * [backup-simplify]: Simplify J into J 1.934 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.934 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.934 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.934 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.934 * [taylor]: Taking taylor expansion of 1/2 in J 1.934 * [backup-simplify]: Simplify 1/2 into 1/2 1.934 * [taylor]: Taking taylor expansion of K in J 1.934 * [backup-simplify]: Simplify K into K 1.934 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.934 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.934 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.934 * [taylor]: Taking taylor expansion of J in J 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.935 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.935 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.936 * [backup-simplify]: Simplify (+ 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.937 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [taylor]: Taking taylor expansion of 0 in J 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.939 * [taylor]: Taking taylor expansion of 0 in J 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.941 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.943 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.943 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.943 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.943 * [taylor]: Taking taylor expansion of 1 in J 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.943 * [taylor]: Taking taylor expansion of 1/4 in J 1.943 * [backup-simplify]: Simplify 1/4 into 1/4 1.943 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.944 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.944 * [taylor]: Taking taylor expansion of J in J 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.944 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.944 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.944 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.944 * [taylor]: Taking taylor expansion of -1/2 in J 1.944 * [backup-simplify]: Simplify -1/2 into -1/2 1.944 * [taylor]: Taking taylor expansion of K in J 1.944 * [backup-simplify]: Simplify K into K 1.944 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.944 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.944 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.944 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.945 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.945 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.945 * [taylor]: Taking taylor expansion of U in J 1.945 * [backup-simplify]: Simplify U into U 1.945 * [backup-simplify]: Simplify (* 1 1) into 1 1.945 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.945 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.946 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.946 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (sqrt 1) into 1 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.948 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.948 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.948 * [taylor]: Taking taylor expansion of 1 in K 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.948 * [taylor]: Taking taylor expansion of 1/4 in K 1.948 * [backup-simplify]: Simplify 1/4 into 1/4 1.948 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.948 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.948 * [taylor]: Taking taylor expansion of J in K 1.948 * [backup-simplify]: Simplify J into J 1.948 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.948 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.948 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.948 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.948 * [taylor]: Taking taylor expansion of -1/2 in K 1.948 * [backup-simplify]: Simplify -1/2 into -1/2 1.948 * [taylor]: Taking taylor expansion of K in K 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.949 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.949 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.949 * [taylor]: Taking taylor expansion of U in K 1.949 * [backup-simplify]: Simplify U into U 1.949 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.949 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.949 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.949 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.949 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.950 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.950 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.950 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.951 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.951 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.953 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.953 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.953 * [taylor]: Taking taylor expansion of 1 in U 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.954 * [taylor]: Taking taylor expansion of 1/4 in U 1.954 * [backup-simplify]: Simplify 1/4 into 1/4 1.954 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.954 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.954 * [taylor]: Taking taylor expansion of J in U 1.954 * [backup-simplify]: Simplify J into J 1.954 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.954 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.954 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.954 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.954 * [taylor]: Taking taylor expansion of -1/2 in U 1.954 * [backup-simplify]: Simplify -1/2 into -1/2 1.954 * [taylor]: Taking taylor expansion of K in U 1.954 * [backup-simplify]: Simplify K into K 1.954 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.954 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.954 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.954 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.954 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.955 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.955 * [taylor]: Taking taylor expansion of U in U 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.956 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.956 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.956 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.956 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.957 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (+ 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.961 * [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))))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.963 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.963 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.963 * [taylor]: Taking taylor expansion of 1 in U 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.963 * [taylor]: Taking taylor expansion of 1/4 in U 1.963 * [backup-simplify]: Simplify 1/4 into 1/4 1.963 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.963 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.963 * [taylor]: Taking taylor expansion of J in U 1.963 * [backup-simplify]: Simplify J into J 1.963 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.963 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.963 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.963 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.963 * [taylor]: Taking taylor expansion of -1/2 in U 1.963 * [backup-simplify]: Simplify -1/2 into -1/2 1.963 * [taylor]: Taking taylor expansion of K in U 1.963 * [backup-simplify]: Simplify K into K 1.963 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.963 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.963 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.963 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.963 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.964 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.964 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.964 * [taylor]: Taking taylor expansion of U in U 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.964 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.965 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.965 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.965 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.966 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.966 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (+ 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.972 * [taylor]: Taking taylor expansion of 1/2 in K 1.972 * [backup-simplify]: Simplify 1/2 into 1/2 1.972 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.972 * [taylor]: Taking taylor expansion of J in K 1.972 * [backup-simplify]: Simplify J into J 1.972 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.972 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.972 * [taylor]: Taking taylor expansion of -1/2 in K 1.972 * [backup-simplify]: Simplify -1/2 into -1/2 1.972 * [taylor]: Taking taylor expansion of K in K 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.973 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.973 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.973 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.973 * [taylor]: Taking taylor expansion of 1/2 in J 1.973 * [backup-simplify]: Simplify 1/2 into 1/2 1.973 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.973 * [taylor]: Taking taylor expansion of J in J 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.973 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.973 * [taylor]: Taking taylor expansion of -1/2 in J 1.973 * [backup-simplify]: Simplify -1/2 into -1/2 1.973 * [taylor]: Taking taylor expansion of K in J 1.973 * [backup-simplify]: Simplify K into K 1.973 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.973 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.974 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.974 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.974 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.975 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.975 * [taylor]: Taking taylor expansion of 0 in K 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [taylor]: Taking taylor expansion of 0 in J 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.976 * [taylor]: Taking taylor expansion of 0 in J 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.977 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.977 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.983 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.984 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.985 * [backup-simplify]: Simplify (+ 1 0) into 1 1.986 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.986 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.986 * [taylor]: Taking taylor expansion of -1/2 in K 1.986 * [backup-simplify]: Simplify -1/2 into -1/2 1.986 * [taylor]: Taking taylor expansion of K in K 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.987 * [taylor]: Taking taylor expansion of J in K 1.987 * [backup-simplify]: Simplify J into J 1.987 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.987 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.987 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.987 * [taylor]: Taking taylor expansion of -1/2 in J 1.987 * [backup-simplify]: Simplify -1/2 into -1/2 1.987 * [taylor]: Taking taylor expansion of K in J 1.987 * [backup-simplify]: Simplify K into K 1.987 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.987 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.987 * [taylor]: Taking taylor expansion of J in J 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.988 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.988 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.989 * [backup-simplify]: Simplify (+ 0) into 0 1.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.991 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [taylor]: Taking taylor expansion of 0 in J 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.993 * [taylor]: Taking taylor expansion of 0 in J 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ 0) into 0 1.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.996 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.997 * [backup-simplify]: Simplify (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.997 * [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 1.997 * [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 1.997 * [taylor]: Taking taylor expansion of -2 in U 1.997 * [backup-simplify]: Simplify -2 into -2 1.997 * [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 1.997 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.997 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.997 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.997 * [taylor]: Taking taylor expansion of 1/2 in U 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of K in U 1.997 * [backup-simplify]: Simplify K into K 1.997 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.997 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.997 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.997 * [taylor]: Taking taylor expansion of J in U 1.997 * [backup-simplify]: Simplify J into J 1.997 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.997 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.997 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.997 * [taylor]: Taking taylor expansion of 1/4 in U 1.997 * [backup-simplify]: Simplify 1/4 into 1/4 1.997 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.997 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.997 * [taylor]: Taking taylor expansion of U in U 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.997 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.997 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.997 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.997 * [taylor]: Taking taylor expansion of 1/2 in U 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of K in U 1.997 * [backup-simplify]: Simplify K into K 1.997 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.997 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.997 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.997 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.997 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.999 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.999 * [taylor]: Taking taylor expansion of J in U 1.999 * [backup-simplify]: Simplify J into J 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.000 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.000 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.000 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.000 * [taylor]: Taking taylor expansion of 1 in U 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (+ 0 1) into 1 2.000 * [backup-simplify]: Simplify (sqrt 1) into 1 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.001 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 2.001 * [taylor]: Taking taylor expansion of -2 in K 2.001 * [backup-simplify]: Simplify -2 into -2 2.001 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 2.001 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.001 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.001 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.001 * [taylor]: Taking taylor expansion of 1/2 in K 2.001 * [backup-simplify]: Simplify 1/2 into 1/2 2.001 * [taylor]: Taking taylor expansion of K in K 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.002 * [taylor]: Taking taylor expansion of J in K 2.002 * [backup-simplify]: Simplify J into J 2.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.002 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.002 * [taylor]: Taking taylor expansion of 1/4 in K 2.002 * [backup-simplify]: Simplify 1/4 into 1/4 2.002 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.002 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.002 * [taylor]: Taking taylor expansion of U in K 2.002 * [backup-simplify]: Simplify U into U 2.002 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.002 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.002 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.002 * [taylor]: Taking taylor expansion of 1/2 in K 2.002 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [taylor]: Taking taylor expansion of K in K 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.003 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.003 * [taylor]: Taking taylor expansion of J in K 2.003 * [backup-simplify]: Simplify J into J 2.003 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.004 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.004 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.004 * [taylor]: Taking taylor expansion of 1 in K 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.004 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.004 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.004 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.004 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.005 * [backup-simplify]: Simplify (+ 0) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.006 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 2.006 * [taylor]: Taking taylor expansion of -2 in J 2.006 * [backup-simplify]: Simplify -2 into -2 2.006 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 2.006 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.006 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.006 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.006 * [taylor]: Taking taylor expansion of 1/2 in J 2.007 * [backup-simplify]: Simplify 1/2 into 1/2 2.007 * [taylor]: Taking taylor expansion of K in J 2.007 * [backup-simplify]: Simplify K into K 2.007 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.007 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.007 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.007 * [taylor]: Taking taylor expansion of J in J 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.007 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.007 * [taylor]: Taking taylor expansion of 1/4 in J 2.007 * [backup-simplify]: Simplify 1/4 into 1/4 2.007 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.007 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.007 * [taylor]: Taking taylor expansion of U in J 2.007 * [backup-simplify]: Simplify U into U 2.007 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.007 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.007 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.007 * [taylor]: Taking taylor expansion of 1/2 in J 2.007 * [backup-simplify]: Simplify 1/2 into 1/2 2.007 * [taylor]: Taking taylor expansion of K in J 2.007 * [backup-simplify]: Simplify K into K 2.007 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.007 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.007 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.007 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.007 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.008 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.008 * [taylor]: Taking taylor expansion of J in J 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.008 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.008 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.008 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.008 * [taylor]: Taking taylor expansion of 1 in J 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [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))) 2.008 * [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))) 2.009 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.009 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (+ 0) into 0 2.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.011 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.012 * [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 2.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.013 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 2.013 * [taylor]: Taking taylor expansion of -2 in J 2.013 * [backup-simplify]: Simplify -2 into -2 2.013 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 2.013 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.013 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.013 * [taylor]: Taking taylor expansion of 1/2 in J 2.013 * [backup-simplify]: Simplify 1/2 into 1/2 2.013 * [taylor]: Taking taylor expansion of K in J 2.013 * [backup-simplify]: Simplify K into K 2.013 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.013 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.013 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.013 * [taylor]: Taking taylor expansion of J in J 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.013 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.013 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.013 * [taylor]: Taking taylor expansion of 1/4 in J 2.013 * [backup-simplify]: Simplify 1/4 into 1/4 2.013 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.013 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.013 * [taylor]: Taking taylor expansion of U in J 2.013 * [backup-simplify]: Simplify U into U 2.013 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.013 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.013 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.013 * [taylor]: Taking taylor expansion of 1/2 in J 2.013 * [backup-simplify]: Simplify 1/2 into 1/2 2.013 * [taylor]: Taking taylor expansion of K in J 2.013 * [backup-simplify]: Simplify K into K 2.013 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.013 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.013 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.013 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.013 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.014 * [backup-simplify]: Simplify (- 0) into 0 2.014 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.014 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.014 * [taylor]: Taking taylor expansion of J in J 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.014 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.014 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.014 * [taylor]: Taking taylor expansion of 1 in J 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [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))) 2.015 * [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))) 2.015 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.015 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (+ 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.017 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.018 * [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 2.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.019 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.019 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.019 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.020 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 2.020 * [backup-simplify]: Simplify (* -2 0) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in K 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [taylor]: Taking taylor expansion of 0 in U 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.022 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 2.023 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 2.023 * [taylor]: Taking taylor expansion of (- U) in K 2.023 * [taylor]: Taking taylor expansion of U in K 2.023 * [backup-simplify]: Simplify U into U 2.023 * [backup-simplify]: Simplify (- U) into (- U) 2.023 * [taylor]: Taking taylor expansion of (- U) in U 2.023 * [taylor]: Taking taylor expansion of U in U 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [taylor]: Taking taylor expansion of 0 in U 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.025 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 1) into 1 2.030 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 2.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.031 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in K 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [taylor]: Taking taylor expansion of 0 in U 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (- 0) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in U 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (* (* (/ 1 J) (* -2 (cos (/ (/ 1 K) 2)))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2.035 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 2.035 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 2.035 * [taylor]: Taking taylor expansion of -2 in U 2.035 * [backup-simplify]: Simplify -2 into -2 2.035 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 2.035 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.035 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.035 * [taylor]: Taking taylor expansion of 1/4 in U 2.035 * [backup-simplify]: Simplify 1/4 into 1/4 2.035 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.035 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.035 * [taylor]: Taking taylor expansion of J in U 2.035 * [backup-simplify]: Simplify J into J 2.035 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.035 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.035 * [taylor]: Taking taylor expansion of U in U 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.035 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.035 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.035 * [taylor]: Taking taylor expansion of 1/2 in U 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of K in U 2.035 * [backup-simplify]: Simplify K into K 2.035 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.035 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.035 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.035 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.035 * [backup-simplify]: Simplify (- 0) into 0 2.035 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.036 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.036 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.036 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.036 * [taylor]: Taking taylor expansion of 1 in U 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [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))) 2.036 * [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))) 2.037 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.037 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.037 * [backup-simplify]: Simplify (+ 0) into 0 2.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.041 * [backup-simplify]: 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 2.042 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.042 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.043 * [taylor]: Taking taylor expansion of 1/2 in U 2.043 * [backup-simplify]: Simplify 1/2 into 1/2 2.043 * [taylor]: Taking taylor expansion of K in U 2.043 * [backup-simplify]: Simplify K into K 2.043 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.043 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.043 * [taylor]: Taking taylor expansion of J in U 2.043 * [backup-simplify]: Simplify J into J 2.043 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.043 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.044 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.044 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.044 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 2.044 * [taylor]: Taking taylor expansion of -2 in K 2.044 * [backup-simplify]: Simplify -2 into -2 2.044 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 2.044 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.044 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.044 * [taylor]: Taking taylor expansion of 1/4 in K 2.044 * [backup-simplify]: Simplify 1/4 into 1/4 2.044 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.044 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.044 * [taylor]: Taking taylor expansion of J in K 2.044 * [backup-simplify]: Simplify J into J 2.044 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.044 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.044 * [taylor]: Taking taylor expansion of U in K 2.044 * [backup-simplify]: Simplify U into U 2.044 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.044 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.044 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.044 * [taylor]: Taking taylor expansion of 1/2 in K 2.044 * [backup-simplify]: Simplify 1/2 into 1/2 2.044 * [taylor]: Taking taylor expansion of K in K 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.045 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.045 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.045 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.045 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.046 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.046 * [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))) 2.046 * [taylor]: Taking taylor expansion of 1 in K 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [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)))) 2.046 * [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) 2.047 * [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)) 2.047 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.047 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.048 * [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 2.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.050 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.050 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.050 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.050 * [taylor]: Taking taylor expansion of 1/2 in K 2.050 * [backup-simplify]: Simplify 1/2 into 1/2 2.050 * [taylor]: Taking taylor expansion of K in K 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.051 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.051 * [taylor]: Taking taylor expansion of J in K 2.051 * [backup-simplify]: Simplify J into J 2.051 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.051 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 2.051 * [taylor]: Taking taylor expansion of -2 in J 2.051 * [backup-simplify]: Simplify -2 into -2 2.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 2.051 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.051 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.051 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.051 * [taylor]: Taking taylor expansion of 1/4 in J 2.051 * [backup-simplify]: Simplify 1/4 into 1/4 2.051 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.051 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.051 * [taylor]: Taking taylor expansion of J in J 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.051 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.051 * [taylor]: Taking taylor expansion of U in J 2.051 * [backup-simplify]: Simplify U into U 2.052 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.052 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.052 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.052 * [taylor]: Taking taylor expansion of 1/2 in J 2.052 * [backup-simplify]: Simplify 1/2 into 1/2 2.052 * [taylor]: Taking taylor expansion of K in J 2.052 * [backup-simplify]: Simplify K into K 2.052 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.052 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.052 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.052 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.052 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.052 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.053 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.054 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.054 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.054 * [taylor]: Taking taylor expansion of 1 in J 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (+ 0 1) into 1 2.055 * [backup-simplify]: Simplify (sqrt 1) into 1 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.056 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.056 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.056 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.056 * [taylor]: Taking taylor expansion of 1/2 in J 2.056 * [backup-simplify]: Simplify 1/2 into 1/2 2.056 * [taylor]: Taking taylor expansion of K in J 2.056 * [backup-simplify]: Simplify K into K 2.056 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.056 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.056 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.057 * [taylor]: Taking taylor expansion of J in J 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.057 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.057 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 2.057 * [taylor]: Taking taylor expansion of -2 in J 2.058 * [backup-simplify]: Simplify -2 into -2 2.058 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 2.058 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.058 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.058 * [taylor]: Taking taylor expansion of 1/4 in J 2.058 * [backup-simplify]: Simplify 1/4 into 1/4 2.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.058 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.058 * [taylor]: Taking taylor expansion of J in J 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.058 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.058 * [taylor]: Taking taylor expansion of U in J 2.058 * [backup-simplify]: Simplify U into U 2.058 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.058 * [taylor]: Taking taylor expansion of 1/2 in J 2.058 * [backup-simplify]: Simplify 1/2 into 1/2 2.058 * [taylor]: Taking taylor expansion of K in J 2.058 * [backup-simplify]: Simplify K into K 2.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.058 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.059 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.060 * [backup-simplify]: Simplify (* 1 1) into 1 2.060 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.060 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.060 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.060 * [taylor]: Taking taylor expansion of 1 in J 2.060 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (+ 0 1) into 1 2.061 * [backup-simplify]: Simplify (sqrt 1) into 1 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.062 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.062 * [taylor]: Taking taylor expansion of 1/2 in J 2.062 * [backup-simplify]: Simplify 1/2 into 1/2 2.062 * [taylor]: Taking taylor expansion of K in J 2.062 * [backup-simplify]: Simplify K into K 2.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.063 * [taylor]: Taking taylor expansion of J in J 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.064 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.064 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 2.064 * [taylor]: Taking taylor expansion of -2 in K 2.064 * [backup-simplify]: Simplify -2 into -2 2.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.064 * [taylor]: Taking taylor expansion of 1/2 in K 2.064 * [backup-simplify]: Simplify 1/2 into 1/2 2.064 * [taylor]: Taking taylor expansion of K in K 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.065 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.065 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 2.065 * [taylor]: Taking taylor expansion of -2 in U 2.065 * [backup-simplify]: Simplify -2 into -2 2.065 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.065 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.065 * [taylor]: Taking taylor expansion of 1/2 in U 2.065 * [backup-simplify]: Simplify 1/2 into 1/2 2.065 * [taylor]: Taking taylor expansion of K in U 2.065 * [backup-simplify]: Simplify K into K 2.065 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.065 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.066 * [backup-simplify]: Simplify (+ 0) into 0 2.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 2.071 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.071 * [taylor]: Taking taylor expansion of 0 in K 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [taylor]: Taking taylor expansion of 0 in U 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.071 * [taylor]: Taking taylor expansion of 0 in U 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.072 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.072 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [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))) 2.078 * [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)))) 2.079 * [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))) 2.080 * [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))))) 2.080 * [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)))))) 2.080 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 2.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 2.080 * [taylor]: Taking taylor expansion of 1/4 in K 2.080 * [backup-simplify]: Simplify 1/4 into 1/4 2.080 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 2.080 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 2.080 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.080 * [taylor]: Taking taylor expansion of U in K 2.080 * [backup-simplify]: Simplify U into U 2.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.080 * [taylor]: Taking taylor expansion of 1/2 in K 2.080 * [backup-simplify]: Simplify 1/2 into 1/2 2.080 * [taylor]: Taking taylor expansion of K in K 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.081 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.081 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.081 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 2.081 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 2.081 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 2.081 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 2.081 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 2.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 2.081 * [taylor]: Taking taylor expansion of 1/4 in U 2.081 * [backup-simplify]: Simplify 1/4 into 1/4 2.081 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 2.081 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 2.081 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.081 * [taylor]: Taking taylor expansion of U in U 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.081 * [taylor]: Taking taylor expansion of 1/2 in U 2.081 * [backup-simplify]: Simplify 1/2 into 1/2 2.081 * [taylor]: Taking taylor expansion of K in U 2.081 * [backup-simplify]: Simplify K into K 2.081 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.081 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.081 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.082 * [backup-simplify]: Simplify (* 1 1) into 1 2.082 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.082 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.082 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.082 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.083 * [backup-simplify]: Simplify (+ 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.084 * [backup-simplify]: Simplify (- 0) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [taylor]: Taking taylor expansion of 0 in U 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.086 * [taylor]: Taking taylor expansion of 0 in U 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.087 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.088 * [backup-simplify]: Simplify (- 0) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.096 * [backup-simplify]: Simplify (+ 0) into 0 2.097 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.099 * [backup-simplify]: Simplify (- 0) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.099 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.100 * [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 2.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 2.104 * [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 2.106 * [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 2.106 * [taylor]: Taking taylor expansion of 0 in K 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [taylor]: Taking taylor expansion of 0 in U 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.106 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in U 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [taylor]: Taking taylor expansion of 0 in U 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.109 * [taylor]: Taking taylor expansion of 0 in U 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.113 * [backup-simplify]: Simplify (- 0) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 2.118 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) (* -2 (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 2.118 * [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 2.118 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 2.118 * [taylor]: Taking taylor expansion of 2 in U 2.118 * [backup-simplify]: Simplify 2 into 2 2.118 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 2.118 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.118 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.119 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.119 * [taylor]: Taking taylor expansion of -1/2 in U 2.119 * [backup-simplify]: Simplify -1/2 into -1/2 2.119 * [taylor]: Taking taylor expansion of K in U 2.119 * [backup-simplify]: Simplify K into K 2.119 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.119 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.119 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.119 * [taylor]: Taking taylor expansion of J in U 2.119 * [backup-simplify]: Simplify J into J 2.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.119 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.120 * [backup-simplify]: Simplify (- 0) into 0 2.120 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.120 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.120 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.120 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.120 * [taylor]: Taking taylor expansion of 1 in U 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.120 * [taylor]: Taking taylor expansion of 1/4 in U 2.120 * [backup-simplify]: Simplify 1/4 into 1/4 2.120 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.120 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.120 * [taylor]: Taking taylor expansion of J in U 2.120 * [backup-simplify]: Simplify J into J 2.120 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.120 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.120 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.120 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.120 * [taylor]: Taking taylor expansion of -1/2 in U 2.120 * [backup-simplify]: Simplify -1/2 into -1/2 2.120 * [taylor]: Taking taylor expansion of K in U 2.120 * [backup-simplify]: Simplify K into K 2.120 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.121 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.121 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.121 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.121 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.121 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.121 * [taylor]: Taking taylor expansion of U in U 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.121 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.122 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.122 * [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))) 2.122 * [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))) 2.122 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (+ 0) into 0 2.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.128 * [backup-simplify]: 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 2.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.129 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 2.129 * [taylor]: Taking taylor expansion of 2 in K 2.129 * [backup-simplify]: Simplify 2 into 2 2.129 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 2.129 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.129 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.129 * [taylor]: Taking taylor expansion of -1/2 in K 2.129 * [backup-simplify]: Simplify -1/2 into -1/2 2.129 * [taylor]: Taking taylor expansion of K in K 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.129 * [taylor]: Taking taylor expansion of J in K 2.129 * [backup-simplify]: Simplify J into J 2.129 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.129 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.129 * [taylor]: Taking taylor expansion of 1 in K 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.129 * [taylor]: Taking taylor expansion of 1/4 in K 2.129 * [backup-simplify]: Simplify 1/4 into 1/4 2.129 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.129 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.129 * [taylor]: Taking taylor expansion of J in K 2.129 * [backup-simplify]: Simplify J into J 2.129 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.129 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.129 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.129 * [taylor]: Taking taylor expansion of -1/2 in K 2.130 * [backup-simplify]: Simplify -1/2 into -1/2 2.130 * [taylor]: Taking taylor expansion of K in K 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.130 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.130 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.130 * [taylor]: Taking taylor expansion of U in K 2.130 * [backup-simplify]: Simplify U into U 2.130 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.130 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.130 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.130 * [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))) 2.131 * [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)))) 2.131 * [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))))) 2.131 * [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)))))) 2.131 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.131 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.132 * [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 2.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.133 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 2.133 * [taylor]: Taking taylor expansion of 2 in J 2.133 * [backup-simplify]: Simplify 2 into 2 2.133 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 2.133 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.133 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.133 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.133 * [taylor]: Taking taylor expansion of -1/2 in J 2.133 * [backup-simplify]: Simplify -1/2 into -1/2 2.133 * [taylor]: Taking taylor expansion of K in J 2.133 * [backup-simplify]: Simplify K into K 2.133 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.133 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.133 * [taylor]: Taking taylor expansion of J in J 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.134 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.134 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.134 * [taylor]: Taking taylor expansion of 1 in J 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.134 * [taylor]: Taking taylor expansion of 1/4 in J 2.134 * [backup-simplify]: Simplify 1/4 into 1/4 2.134 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.134 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.134 * [taylor]: Taking taylor expansion of J in J 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.134 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.134 * [taylor]: Taking taylor expansion of -1/2 in J 2.134 * [backup-simplify]: Simplify -1/2 into -1/2 2.134 * [taylor]: Taking taylor expansion of K in J 2.134 * [backup-simplify]: Simplify K into K 2.134 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.134 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.134 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.134 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.134 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.135 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.135 * [taylor]: Taking taylor expansion of U in J 2.135 * [backup-simplify]: Simplify U into U 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.135 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.135 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.135 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.136 * [backup-simplify]: Simplify (+ 1 0) into 1 2.136 * [backup-simplify]: Simplify (sqrt 1) into 1 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.137 * [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 J 2.137 * [taylor]: Taking taylor expansion of 2 in J 2.137 * [backup-simplify]: Simplify 2 into 2 2.137 * [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 J 2.137 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.137 * [taylor]: Taking taylor expansion of -1/2 in J 2.137 * [backup-simplify]: Simplify -1/2 into -1/2 2.137 * [taylor]: Taking taylor expansion of K in J 2.137 * [backup-simplify]: Simplify K into K 2.137 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.137 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.137 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.137 * [taylor]: Taking taylor expansion of J in J 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.137 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.138 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.138 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.138 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.138 * [taylor]: Taking taylor expansion of 1 in J 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.138 * [taylor]: Taking taylor expansion of 1/4 in J 2.138 * [backup-simplify]: Simplify 1/4 into 1/4 2.138 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.138 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.138 * [taylor]: Taking taylor expansion of J in J 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.138 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.138 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.138 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.138 * [taylor]: Taking taylor expansion of -1/2 in J 2.138 * [backup-simplify]: Simplify -1/2 into -1/2 2.138 * [taylor]: Taking taylor expansion of K in J 2.138 * [backup-simplify]: Simplify K into K 2.138 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.138 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.138 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.138 * [backup-simplify]: Simplify (- 0) into 0 2.138 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.138 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.139 * [taylor]: Taking taylor expansion of U in J 2.139 * [backup-simplify]: Simplify U into U 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.139 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.139 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.139 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.139 * [backup-simplify]: Simplify (+ 1 0) into 1 2.140 * [backup-simplify]: Simplify (sqrt 1) into 1 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.141 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.141 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 2.141 * [taylor]: Taking taylor expansion of 2 in K 2.141 * [backup-simplify]: Simplify 2 into 2 2.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.141 * [taylor]: Taking taylor expansion of -1/2 in K 2.141 * [backup-simplify]: Simplify -1/2 into -1/2 2.141 * [taylor]: Taking taylor expansion of K in K 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.141 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.141 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 2.141 * [taylor]: Taking taylor expansion of 2 in U 2.141 * [backup-simplify]: Simplify 2 into 2 2.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.141 * [taylor]: Taking taylor expansion of -1/2 in U 2.141 * [backup-simplify]: Simplify -1/2 into -1/2 2.141 * [taylor]: Taking taylor expansion of K in U 2.141 * [backup-simplify]: Simplify K into K 2.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.142 * [backup-simplify]: Simplify (+ 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.143 * [backup-simplify]: Simplify (- 0) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in K 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [taylor]: Taking taylor expansion of 0 in U 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in U 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.145 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.146 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.146 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.146 * [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))) 2.146 * [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)))) 2.147 * [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))) 2.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.149 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.149 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [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)))) 2.152 * [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)))) 2.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 2.152 * [taylor]: Taking taylor expansion of 1/4 in K 2.152 * [backup-simplify]: Simplify 1/4 into 1/4 2.152 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 2.152 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 2.152 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.152 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.152 * [taylor]: Taking taylor expansion of -1/2 in K 2.152 * [backup-simplify]: Simplify -1/2 into -1/2 2.152 * [taylor]: Taking taylor expansion of K in K 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.152 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.152 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.152 * [taylor]: Taking taylor expansion of U in K 2.152 * [backup-simplify]: Simplify U into U 2.152 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 2.153 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 2.153 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 2.153 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 2.153 * [taylor]: Taking taylor expansion of 1/4 in U 2.153 * [backup-simplify]: Simplify 1/4 into 1/4 2.153 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 2.153 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.153 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.153 * [taylor]: Taking taylor expansion of -1/2 in U 2.153 * [backup-simplify]: Simplify -1/2 into -1/2 2.153 * [taylor]: Taking taylor expansion of K in U 2.153 * [backup-simplify]: Simplify K into K 2.153 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.153 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.153 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.153 * [taylor]: Taking taylor expansion of U in U 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.153 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.153 * [backup-simplify]: Simplify (- 0) into 0 2.153 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.154 * [backup-simplify]: Simplify (* 1 1) into 1 2.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.154 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (+ 0) into 0 2.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in U 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.158 * [taylor]: Taking taylor expansion of 0 in U 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ 0) into 0 2.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.160 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.161 * [backup-simplify]: Simplify (+ 0) into 0 2.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.163 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.163 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.163 * [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 2.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.164 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 2.165 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.168 * [backup-simplify]: Simplify (- 0) into 0 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.170 * [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 2.170 * [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 2.171 * [taylor]: Taking taylor expansion of 0 in K 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in U 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 2.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in U 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in U 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.172 * [taylor]: Taking taylor expansion of 0 in U 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.175 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.175 * [backup-simplify]: Simplify (- 0) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.176 * [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 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 2.176 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.177 * [backup-simplify]: Simplify (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.177 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 2.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.177 * [taylor]: Taking taylor expansion of 1/4 in J 2.177 * [backup-simplify]: Simplify 1/4 into 1/4 2.177 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.177 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.177 * [taylor]: Taking taylor expansion of U in J 2.177 * [backup-simplify]: Simplify U into U 2.177 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.177 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.177 * [taylor]: Taking taylor expansion of 1/2 in J 2.177 * [backup-simplify]: Simplify 1/2 into 1/2 2.177 * [taylor]: Taking taylor expansion of K in J 2.177 * [backup-simplify]: Simplify K into K 2.177 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.177 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.178 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.178 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.178 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.179 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.179 * [taylor]: Taking taylor expansion of J in J 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.179 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.179 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.179 * [taylor]: Taking taylor expansion of 1/4 in K 2.179 * [backup-simplify]: Simplify 1/4 into 1/4 2.179 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.179 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.179 * [taylor]: Taking taylor expansion of U in K 2.179 * [backup-simplify]: Simplify U into U 2.179 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.179 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.179 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.179 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.179 * [taylor]: Taking taylor expansion of 1/2 in K 2.179 * [backup-simplify]: Simplify 1/2 into 1/2 2.179 * [taylor]: Taking taylor expansion of K in K 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.180 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.180 * [taylor]: Taking taylor expansion of J in K 2.180 * [backup-simplify]: Simplify J into J 2.180 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.181 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.181 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.181 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.181 * [taylor]: Taking taylor expansion of 1/4 in U 2.181 * [backup-simplify]: Simplify 1/4 into 1/4 2.181 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.181 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.181 * [taylor]: Taking taylor expansion of U in U 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.181 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.181 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.181 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.181 * [taylor]: Taking taylor expansion of 1/2 in U 2.181 * [backup-simplify]: Simplify 1/2 into 1/2 2.181 * [taylor]: Taking taylor expansion of K in U 2.181 * [backup-simplify]: Simplify K into K 2.181 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.181 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.181 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.181 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.181 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.182 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.182 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.182 * [taylor]: Taking taylor expansion of J in U 2.182 * [backup-simplify]: Simplify J into J 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.182 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.182 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.182 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.182 * [taylor]: Taking taylor expansion of 1/4 in U 2.182 * [backup-simplify]: Simplify 1/4 into 1/4 2.183 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.183 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.183 * [taylor]: Taking taylor expansion of U in U 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.183 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.183 * [taylor]: Taking taylor expansion of 1/2 in U 2.183 * [backup-simplify]: Simplify 1/2 into 1/2 2.183 * [taylor]: Taking taylor expansion of K in U 2.183 * [backup-simplify]: Simplify K into K 2.183 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.183 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.183 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.183 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.183 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.183 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.183 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.183 * [taylor]: Taking taylor expansion of J in U 2.183 * [backup-simplify]: Simplify J into J 2.184 * [backup-simplify]: Simplify (* 1 1) into 1 2.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.184 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.184 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.184 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.185 * [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))) 2.185 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.185 * [taylor]: Taking taylor expansion of 1/4 in K 2.185 * [backup-simplify]: Simplify 1/4 into 1/4 2.185 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.185 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.185 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.185 * [taylor]: Taking taylor expansion of 1/2 in K 2.185 * [backup-simplify]: Simplify 1/2 into 1/2 2.185 * [taylor]: Taking taylor expansion of K in K 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.186 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.186 * [taylor]: Taking taylor expansion of J in K 2.186 * [backup-simplify]: Simplify J into J 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.186 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.186 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.186 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 2.186 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 2.186 * [taylor]: Taking taylor expansion of 1/4 in J 2.186 * [backup-simplify]: Simplify 1/4 into 1/4 2.186 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.186 * [taylor]: Taking taylor expansion of J in J 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (* 1 1) into 1 2.187 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.187 * [backup-simplify]: Simplify 1/4 into 1/4 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.188 * [backup-simplify]: Simplify (+ 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.189 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.191 * [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 2.191 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.191 * [taylor]: Taking taylor expansion of 0 in K 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in J 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.191 * [backup-simplify]: Simplify (+ 0) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 2.192 * [taylor]: Taking taylor expansion of 0 in J 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.194 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.195 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.197 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.198 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.198 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.199 * [taylor]: Taking taylor expansion of 0 in K 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [taylor]: Taking taylor expansion of 0 in J 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [taylor]: Taking taylor expansion of 0 in J 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.200 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 2.201 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 2.201 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 2.201 * [taylor]: Taking taylor expansion of 1/16 in J 2.201 * [backup-simplify]: Simplify 1/16 into 1/16 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 2.201 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.201 * [taylor]: Taking taylor expansion of J in J 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 2.202 * [backup-simplify]: Simplify 1/16 into 1/16 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.208 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.208 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.209 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.210 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.211 * [taylor]: Taking taylor expansion of 0 in K 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [taylor]: Taking taylor expansion of 0 in J 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [taylor]: Taking taylor expansion of 0 in J 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [taylor]: Taking taylor expansion of 0 in J 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.213 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 2.216 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 2.216 * [taylor]: Taking taylor expansion of 0 in J 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.223 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 2.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.236 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.237 * [backup-simplify]: Simplify (- 0) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.240 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.241 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 2.243 * [taylor]: Taking taylor expansion of 0 in K 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [taylor]: Taking taylor expansion of 0 in J 2.243 * [backup-simplify]: Simplify 0 into 0 2.244 * [taylor]: Taking taylor expansion of 0 in J 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [taylor]: Taking taylor expansion of 0 in J 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [taylor]: Taking taylor expansion of 0 in J 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.249 * [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 2.251 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 2.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 2.254 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 2.254 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 2.254 * [taylor]: Taking taylor expansion of 1/96 in J 2.254 * [backup-simplify]: Simplify 1/96 into 1/96 2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 2.254 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.254 * [taylor]: Taking taylor expansion of J in J 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (* 1 1) into 1 2.255 * [backup-simplify]: Simplify (/ 1 1) into 1 2.255 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 2.255 * [backup-simplify]: Simplify 1/96 into 1/96 2.257 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 2.257 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.257 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 2.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.257 * [taylor]: Taking taylor expansion of 1/4 in J 2.257 * [backup-simplify]: Simplify 1/4 into 1/4 2.257 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.257 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.257 * [taylor]: Taking taylor expansion of J in J 2.257 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.258 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.258 * [taylor]: Taking taylor expansion of U in J 2.258 * [backup-simplify]: Simplify U into U 2.258 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.258 * [taylor]: Taking taylor expansion of 1/2 in J 2.258 * [backup-simplify]: Simplify 1/2 into 1/2 2.258 * [taylor]: Taking taylor expansion of K in J 2.258 * [backup-simplify]: Simplify K into K 2.258 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.259 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.260 * [backup-simplify]: Simplify (* 1 1) into 1 2.260 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.260 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.260 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.260 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.260 * [taylor]: Taking taylor expansion of 1/4 in K 2.260 * [backup-simplify]: Simplify 1/4 into 1/4 2.260 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.260 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.260 * [taylor]: Taking taylor expansion of J in K 2.260 * [backup-simplify]: Simplify J into J 2.260 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.260 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.260 * [taylor]: Taking taylor expansion of U in K 2.260 * [backup-simplify]: Simplify U into U 2.260 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.261 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.261 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.261 * [taylor]: Taking taylor expansion of 1/2 in K 2.261 * [backup-simplify]: Simplify 1/2 into 1/2 2.261 * [taylor]: Taking taylor expansion of K in K 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.261 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.261 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.261 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.261 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.261 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.262 * [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))) 2.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.262 * [taylor]: Taking taylor expansion of 1/4 in U 2.262 * [backup-simplify]: Simplify 1/4 into 1/4 2.262 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.262 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.262 * [taylor]: Taking taylor expansion of J in U 2.262 * [backup-simplify]: Simplify J into J 2.262 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.262 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.262 * [taylor]: Taking taylor expansion of U in U 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.262 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.262 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.262 * [taylor]: Taking taylor expansion of 1/2 in U 2.262 * [backup-simplify]: Simplify 1/2 into 1/2 2.262 * [taylor]: Taking taylor expansion of K in U 2.262 * [backup-simplify]: Simplify K into K 2.262 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.262 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.262 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.262 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.262 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.262 * [backup-simplify]: Simplify (- 0) into 0 2.262 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.263 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.263 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.263 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.263 * [taylor]: Taking taylor expansion of 1/4 in U 2.263 * [backup-simplify]: Simplify 1/4 into 1/4 2.263 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.263 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.263 * [taylor]: Taking taylor expansion of J in U 2.263 * [backup-simplify]: Simplify J into J 2.263 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.263 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.263 * [taylor]: Taking taylor expansion of U in U 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.263 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.263 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.263 * [taylor]: Taking taylor expansion of 1/2 in U 2.263 * [backup-simplify]: Simplify 1/2 into 1/2 2.263 * [taylor]: Taking taylor expansion of K in U 2.263 * [backup-simplify]: Simplify K into K 2.263 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.263 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.263 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.263 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.263 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.264 * [backup-simplify]: Simplify (- 0) into 0 2.264 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.264 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.264 * [backup-simplify]: Simplify (* 1 1) into 1 2.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.264 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.264 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.265 * [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))) 2.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 2.265 * [taylor]: Taking taylor expansion of 1/4 in K 2.265 * [backup-simplify]: Simplify 1/4 into 1/4 2.265 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 2.265 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.265 * [taylor]: Taking taylor expansion of J in K 2.265 * [backup-simplify]: Simplify J into J 2.265 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.265 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.265 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.265 * [taylor]: Taking taylor expansion of 1/2 in K 2.265 * [backup-simplify]: Simplify 1/2 into 1/2 2.265 * [taylor]: Taking taylor expansion of K in K 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.265 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.265 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.266 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.266 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.266 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.266 * [taylor]: Taking taylor expansion of 1/4 in J 2.266 * [backup-simplify]: Simplify 1/4 into 1/4 2.266 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.266 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.266 * [taylor]: Taking taylor expansion of J in J 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.266 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.266 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.266 * [taylor]: Taking taylor expansion of 1/2 in J 2.266 * [backup-simplify]: Simplify 1/2 into 1/2 2.266 * [taylor]: Taking taylor expansion of K in J 2.266 * [backup-simplify]: Simplify K into K 2.266 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.266 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.266 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.266 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.266 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.266 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.267 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.267 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.267 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.267 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.267 * [backup-simplify]: Simplify (+ 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.269 * [backup-simplify]: Simplify (- 0) into 0 2.269 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.270 * [backup-simplify]: 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 2.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.271 * [taylor]: Taking taylor expansion of 0 in K 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [taylor]: Taking taylor expansion of 0 in J 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.271 * [backup-simplify]: 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 2.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.272 * [taylor]: Taking taylor expansion of 0 in J 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify (+ 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.274 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.277 * [backup-simplify]: Simplify (- 0) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.279 * [backup-simplify]: 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 2.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.280 * [taylor]: Taking taylor expansion of 0 in K 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [taylor]: Taking taylor expansion of 0 in J 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [taylor]: Taking taylor expansion of 0 in J 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.281 * [backup-simplify]: 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 2.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.282 * [taylor]: Taking taylor expansion of 0 in J 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.282 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.282 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 2.282 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.282 * [taylor]: Taking taylor expansion of 1/4 in J 2.282 * [backup-simplify]: Simplify 1/4 into 1/4 2.282 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.282 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.282 * [taylor]: Taking taylor expansion of J in J 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.282 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.282 * [taylor]: Taking taylor expansion of -1/2 in J 2.283 * [backup-simplify]: Simplify -1/2 into -1/2 2.283 * [taylor]: Taking taylor expansion of K in J 2.283 * [backup-simplify]: Simplify K into K 2.283 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.283 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.283 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.283 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.283 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.283 * [taylor]: Taking taylor expansion of U in J 2.283 * [backup-simplify]: Simplify U into U 2.283 * [backup-simplify]: Simplify (* 1 1) into 1 2.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.284 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.284 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.284 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.284 * [taylor]: Taking taylor expansion of 1/4 in K 2.284 * [backup-simplify]: Simplify 1/4 into 1/4 2.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.284 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.284 * [taylor]: Taking taylor expansion of J in K 2.284 * [backup-simplify]: Simplify J into J 2.284 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.284 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.284 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.284 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.284 * [taylor]: Taking taylor expansion of -1/2 in K 2.284 * [backup-simplify]: Simplify -1/2 into -1/2 2.284 * [taylor]: Taking taylor expansion of K in K 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.284 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.284 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.284 * [taylor]: Taking taylor expansion of U in K 2.284 * [backup-simplify]: Simplify U into U 2.284 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.285 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.285 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.285 * [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))) 2.285 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.285 * [taylor]: Taking taylor expansion of 1/4 in U 2.285 * [backup-simplify]: Simplify 1/4 into 1/4 2.285 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.285 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.285 * [taylor]: Taking taylor expansion of J in U 2.285 * [backup-simplify]: Simplify J into J 2.285 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.285 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.285 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.285 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.285 * [taylor]: Taking taylor expansion of -1/2 in U 2.285 * [backup-simplify]: Simplify -1/2 into -1/2 2.285 * [taylor]: Taking taylor expansion of K in U 2.285 * [backup-simplify]: Simplify K into K 2.285 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.285 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.285 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.285 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.286 * [backup-simplify]: Simplify (- 0) into 0 2.286 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.286 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.286 * [taylor]: Taking taylor expansion of U in U 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.286 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.286 * [backup-simplify]: Simplify (* 1 1) into 1 2.286 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.286 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.286 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.286 * [taylor]: Taking taylor expansion of 1/4 in U 2.286 * [backup-simplify]: Simplify 1/4 into 1/4 2.286 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.286 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.286 * [taylor]: Taking taylor expansion of J in U 2.286 * [backup-simplify]: Simplify J into J 2.286 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.286 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.286 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.286 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.286 * [taylor]: Taking taylor expansion of -1/2 in U 2.286 * [backup-simplify]: Simplify -1/2 into -1/2 2.286 * [taylor]: Taking taylor expansion of K in U 2.286 * [backup-simplify]: Simplify K into K 2.287 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.287 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.287 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.287 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.287 * [backup-simplify]: Simplify (- 0) into 0 2.287 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.287 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.287 * [taylor]: Taking taylor expansion of U in U 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.287 * [backup-simplify]: Simplify (* 1 1) into 1 2.288 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.288 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.288 * [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))) 2.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 2.288 * [taylor]: Taking taylor expansion of 1/4 in K 2.288 * [backup-simplify]: Simplify 1/4 into 1/4 2.288 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 2.288 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.288 * [taylor]: Taking taylor expansion of J in K 2.288 * [backup-simplify]: Simplify J into J 2.288 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.288 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.288 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.288 * [taylor]: Taking taylor expansion of -1/2 in K 2.288 * [backup-simplify]: Simplify -1/2 into -1/2 2.288 * [taylor]: Taking taylor expansion of K in K 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.288 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.288 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.289 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.289 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.289 * [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))) 2.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.289 * [taylor]: Taking taylor expansion of 1/4 in J 2.289 * [backup-simplify]: Simplify 1/4 into 1/4 2.289 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.289 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.289 * [taylor]: Taking taylor expansion of J in J 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.289 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.289 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.289 * [taylor]: Taking taylor expansion of -1/2 in J 2.289 * [backup-simplify]: Simplify -1/2 into -1/2 2.289 * [taylor]: Taking taylor expansion of K in J 2.289 * [backup-simplify]: Simplify K into K 2.289 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.289 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.289 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.289 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.289 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.290 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.290 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.291 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.291 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.291 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.292 * [backup-simplify]: Simplify (+ 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.295 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.295 * [backup-simplify]: 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 2.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.296 * [taylor]: Taking taylor expansion of 0 in K 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [taylor]: Taking taylor expansion of 0 in J 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.297 * [backup-simplify]: 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 2.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.298 * [taylor]: Taking taylor expansion of 0 in J 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (+ 0) into 0 2.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.308 * [backup-simplify]: Simplify (- 0) into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.310 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.310 * [backup-simplify]: 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 2.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.311 * [taylor]: Taking taylor expansion of 0 in K 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [taylor]: Taking taylor expansion of 0 in J 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [taylor]: Taking taylor expansion of 0 in J 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.313 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.314 * [taylor]: Taking taylor expansion of 0 in J 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2) 2.314 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* 2 J)) into (* 2 (* (cos (* 1/2 K)) J)) 2.314 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0 2.314 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.314 * [taylor]: Taking taylor expansion of 2 in J 2.314 * [backup-simplify]: Simplify 2 into 2 2.314 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.314 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.314 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.314 * [taylor]: Taking taylor expansion of 1/2 in J 2.314 * [backup-simplify]: Simplify 1/2 into 1/2 2.314 * [taylor]: Taking taylor expansion of K in J 2.314 * [backup-simplify]: Simplify K into K 2.314 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.314 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.314 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.314 * [taylor]: Taking taylor expansion of J in J 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.314 * [taylor]: Taking taylor expansion of 2 in K 2.314 * [backup-simplify]: Simplify 2 into 2 2.314 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.314 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.314 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.314 * [taylor]: Taking taylor expansion of 1/2 in K 2.314 * [backup-simplify]: Simplify 1/2 into 1/2 2.314 * [taylor]: Taking taylor expansion of K in K 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.315 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.315 * [taylor]: Taking taylor expansion of J in K 2.315 * [backup-simplify]: Simplify J into J 2.315 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.315 * [taylor]: Taking taylor expansion of 2 in K 2.315 * [backup-simplify]: Simplify 2 into 2 2.315 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.315 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.316 * [taylor]: Taking taylor expansion of 1/2 in K 2.316 * [backup-simplify]: Simplify 1/2 into 1/2 2.316 * [taylor]: Taking taylor expansion of K in K 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.316 * [taylor]: Taking taylor expansion of J in K 2.316 * [backup-simplify]: Simplify J into J 2.316 * [backup-simplify]: Simplify (* 1 J) into J 2.316 * [backup-simplify]: Simplify (* 2 J) into (* 2 J) 2.316 * [taylor]: Taking taylor expansion of (* 2 J) in J 2.316 * [taylor]: Taking taylor expansion of 2 in J 2.316 * [backup-simplify]: Simplify 2 into 2 2.316 * [taylor]: Taking taylor expansion of J in J 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (* 2 0) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ 0) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.318 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0 2.318 * [taylor]: Taking taylor expansion of 0 in J 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.318 * [backup-simplify]: Simplify 2 into 2 2.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.320 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J)) 2.320 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J 2.320 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 2.320 * [taylor]: Taking taylor expansion of 1/4 in J 2.320 * [backup-simplify]: Simplify 1/4 into 1/4 2.320 * [taylor]: Taking taylor expansion of J in J 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.320 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.322 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 2.324 * [taylor]: Taking taylor expansion of 0 in J 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 2.324 * [backup-simplify]: Simplify (- 1/4) into -1/4 2.324 * [backup-simplify]: Simplify -1/4 into -1/4 2.324 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.327 * [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 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.329 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J) 2.329 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 2.329 * [taylor]: Taking taylor expansion of 1/192 in J 2.329 * [backup-simplify]: Simplify 1/192 into 1/192 2.329 * [taylor]: Taking taylor expansion of J in J 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (* 1/192 0) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J))) 2.331 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.331 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 2.331 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.331 * [taylor]: Taking taylor expansion of 2 in J 2.331 * [backup-simplify]: Simplify 2 into 2 2.331 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.331 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.331 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.331 * [taylor]: Taking taylor expansion of 1/2 in J 2.331 * [backup-simplify]: Simplify 1/2 into 1/2 2.331 * [taylor]: Taking taylor expansion of K in J 2.331 * [backup-simplify]: Simplify K into K 2.331 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.331 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.331 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.331 * [taylor]: Taking taylor expansion of J in J 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.331 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.331 * [backup-simplify]: Simplify (- 0) into 0 2.331 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.331 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.331 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.331 * [taylor]: Taking taylor expansion of 2 in K 2.331 * [backup-simplify]: Simplify 2 into 2 2.331 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.331 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.332 * [taylor]: Taking taylor expansion of 1/2 in K 2.332 * [backup-simplify]: Simplify 1/2 into 1/2 2.332 * [taylor]: Taking taylor expansion of K in K 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.332 * [taylor]: Taking taylor expansion of J in K 2.332 * [backup-simplify]: Simplify J into J 2.332 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.332 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.332 * [taylor]: Taking taylor expansion of 2 in K 2.332 * [backup-simplify]: Simplify 2 into 2 2.332 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.332 * [taylor]: Taking taylor expansion of 1/2 in K 2.332 * [backup-simplify]: Simplify 1/2 into 1/2 2.332 * [taylor]: Taking taylor expansion of K in K 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.333 * [taylor]: Taking taylor expansion of J in K 2.333 * [backup-simplify]: Simplify J into J 2.333 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.333 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.333 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.333 * [taylor]: Taking taylor expansion of 2 in J 2.333 * [backup-simplify]: Simplify 2 into 2 2.333 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.333 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.333 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.333 * [taylor]: Taking taylor expansion of 1/2 in J 2.333 * [backup-simplify]: Simplify 1/2 into 1/2 2.333 * [taylor]: Taking taylor expansion of K in J 2.333 * [backup-simplify]: Simplify K into K 2.333 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.333 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.333 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.333 * [taylor]: Taking taylor expansion of J in J 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.333 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.333 * [backup-simplify]: Simplify (- 0) into 0 2.333 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.334 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.334 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.334 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.334 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.334 * [taylor]: Taking taylor expansion of 0 in J 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ 0) into 0 2.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.336 * [backup-simplify]: Simplify (- 0) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 2.338 * [taylor]: Taking taylor expansion of 0 in J 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.339 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 2.344 * [taylor]: Taking taylor expansion of 0 in J 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.351 * [backup-simplify]: Simplify (- 0) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 2.355 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.355 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.355 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.355 * [taylor]: Taking taylor expansion of -2 in J 2.355 * [backup-simplify]: Simplify -2 into -2 2.355 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.355 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.355 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.355 * [taylor]: Taking taylor expansion of -1/2 in J 2.355 * [backup-simplify]: Simplify -1/2 into -1/2 2.355 * [taylor]: Taking taylor expansion of K in J 2.355 * [backup-simplify]: Simplify K into K 2.355 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.355 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.356 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.356 * [taylor]: Taking taylor expansion of J in J 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.356 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.356 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.356 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.356 * [taylor]: Taking taylor expansion of -2 in K 2.357 * [backup-simplify]: Simplify -2 into -2 2.357 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.357 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.357 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.357 * [taylor]: Taking taylor expansion of -1/2 in K 2.357 * [backup-simplify]: Simplify -1/2 into -1/2 2.357 * [taylor]: Taking taylor expansion of K in K 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.357 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.357 * [taylor]: Taking taylor expansion of J in K 2.357 * [backup-simplify]: Simplify J into J 2.357 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.357 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.357 * [taylor]: Taking taylor expansion of -2 in K 2.357 * [backup-simplify]: Simplify -2 into -2 2.357 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.357 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.358 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.358 * [taylor]: Taking taylor expansion of -1/2 in K 2.358 * [backup-simplify]: Simplify -1/2 into -1/2 2.358 * [taylor]: Taking taylor expansion of K in K 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.358 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.358 * [taylor]: Taking taylor expansion of J in K 2.358 * [backup-simplify]: Simplify J into J 2.358 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.358 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.358 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.359 * [taylor]: Taking taylor expansion of -2 in J 2.359 * [backup-simplify]: Simplify -2 into -2 2.359 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.359 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.359 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.359 * [taylor]: Taking taylor expansion of -1/2 in J 2.359 * [backup-simplify]: Simplify -1/2 into -1/2 2.359 * [taylor]: Taking taylor expansion of K in J 2.359 * [backup-simplify]: Simplify K into K 2.359 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.359 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.359 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.359 * [taylor]: Taking taylor expansion of J in J 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.359 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.360 * [backup-simplify]: Simplify (- 0) into 0 2.360 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.360 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.360 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.360 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.360 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.361 * [taylor]: Taking taylor expansion of 0 in J 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (+ 0) into 0 2.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.363 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.367 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.367 * [taylor]: Taking taylor expansion of 0 in J 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.370 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.371 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.375 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.375 * [taylor]: Taking taylor expansion of 0 in J 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 2.385 * * * [progress]: simplifying candidates 2.385 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 2.385 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 14 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> 2.386 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 19 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 2.386 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 36 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 2.387 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 40 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #real (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> 2.388 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 2.388 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 62 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 2.389 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 2.390 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 88 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 2.391 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 103 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 110 / 145 ] simplifiying candidate # 2.392 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> 2.393 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 2.393 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> 2.394 * * * * [progress]: [ 133 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 2.394 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 2.397 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (+ (+ (log J) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (+ (+ (log J) (log (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (+ (log (* J (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J J) J) (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J J) J) (* (* (* -2 (cos (/ K 2))) (* -2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt 1)) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) 1) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 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(log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2)))) (exp (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J))))) (* (/ (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (/ (* (* U U) U) (* (* (* 2 4) (* J J)) J))) (* (/ (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) 2))) (/ (* (* (* U U) U) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J))))) (* (/ (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (/ (* (* U U) U) (* (* (* 2 4) (* J J)) J))) (* (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J)))) (/ (* (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* U U) U)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))) (* (/ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J))) (/ (* (* U U) U) (* 2 J))) (* (/ (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) 2))) (/ (* (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* U U) U)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))) (* (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (/ (* (* (* U U) U) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J))))) (* (/ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J))) (/ (* (* U U) U) (* 2 J))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cbrt (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (cbrt (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (cbrt (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (fabs (/ U (* (* (cos (/ K 2)) J) 2))) (fabs (/ U (* (* (cos (/ K 2)) J) 2))) (* U U) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2))))) (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2)))) (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)) (* (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U)))) (* (/ (cbrt U) (* 2 J)) (/ (cbrt U) (* 2 J))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J))) (/ (/ 1 (cos (/ K 2))) (cos (/ K 2))) (* (/ U (* 2 J)) (/ U (* 2 J))) 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* U U) (* (/ (/ 1 (cos (/ K 2))) (* 2 J)) (/ (/ 1 (cos (/ K 2))) (* 2 J))) (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)) 2 (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2))))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (sqrt (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* 2 J)) (/ (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) (cos (/ K 2)))) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (/ (/ U (* (* (cos (/ K 2)) J) 2)) (cos (/ K 2))) (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2)) (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (sqrt (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ (/ (cbrt U) (* 2 J)) (* 2 J)) (/ U (cos (/ K 2)))) (* (/ (/ (sqrt U) (* 2 J)) (cos (/ K 2))) (/ U (* 2 J))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2)) (real->posit16 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2) (log (* (* (cos (/ K 2)) J) 2)) (log (* (* (cos (/ K 2)) J) 2)) (log (* (* (cos (/ K 2)) J) 2)) (exp (* (* (cos (/ K 2)) J) 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J)) (* (cbrt (* (* (cos (/ K 2)) J) 2)) (cbrt (* (* (cos (/ K 2)) J) 2))) (cbrt (* (* (cos (/ K 2)) J) 2)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (sqrt (* (* (cos (/ K 2)) J) 2)) (sqrt (* (* (cos (/ K 2)) J) 2)) (* (cos (/ K 2)) 2) (* (* 2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (cos (/ K 2))) 2) J) (* (* (cos (/ K 2)) J) 2) (real->posit16 (* (* (cos (/ K 2)) J) 2)) 1 (/ (* 1/2 U) (* (cos (* 1/2 K)) J)) (/ (* 1/2 U) (* (cos (* 1/2 K)) J)) 0 (* (* -2 J) (cos (* 1/2 K))) (* (* -2 J) (cos (* 1/2 K))) (+ (* 1/16 (/ (* K K) (/ (* J J) (* U U)))) (+ (/ (* 1/4 (* U U)) (* J J)) (* 1/96 (/ (* (* K K) (* K K)) (/ (* J J) (* U U)))))) (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (* J (- 2 (* 1/4 (* K K)))) (* (* (cos (* 1/2 K)) J) 2) (* (* (cos (* 1/2 K)) J) 2) 4.163 * * * [progress]: adding candidates to table 4.891 * * [progress]: iteration 2 / 4 4.891 * * * [progress]: picking best candidate 4.958 * * * * [pick]: Picked # 4.958 * * * [progress]: localizing error 5.013 * * * [progress]: generating rewritten candidates 5.013 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 5.595 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 2) 5.612 * * * [progress]: generating series expansions 5.612 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.612 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 5.612 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 5.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.612 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.612 * [taylor]: Taking taylor expansion of 1/4 in J 5.612 * [backup-simplify]: Simplify 1/4 into 1/4 5.612 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.612 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.612 * [taylor]: Taking taylor expansion of U in J 5.612 * [backup-simplify]: Simplify U into U 5.613 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.613 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.613 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.613 * [taylor]: Taking taylor expansion of 1/2 in J 5.613 * [backup-simplify]: Simplify 1/2 into 1/2 5.613 * [taylor]: Taking taylor expansion of K in J 5.613 * [backup-simplify]: Simplify K into K 5.613 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.613 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.613 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.613 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.614 * [backup-simplify]: Simplify (- 0) into 0 5.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.614 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.614 * [taylor]: Taking taylor expansion of J in J 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.615 * [backup-simplify]: Simplify (* 1 1) into 1 5.615 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.615 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.615 * [taylor]: Taking taylor expansion of 1 in J 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [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))) 5.615 * [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))) 5.615 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.615 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.616 * [backup-simplify]: Simplify (+ 0) into 0 5.616 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.618 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.618 * [backup-simplify]: Simplify (- 0) into 0 5.618 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.619 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.619 * [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 5.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.620 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.620 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.620 * [taylor]: Taking taylor expansion of 1/4 in K 5.620 * [backup-simplify]: Simplify 1/4 into 1/4 5.620 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.620 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.620 * [taylor]: Taking taylor expansion of U in K 5.620 * [backup-simplify]: Simplify U into U 5.620 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.620 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.620 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.620 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.620 * [taylor]: Taking taylor expansion of 1/2 in K 5.620 * [backup-simplify]: Simplify 1/2 into 1/2 5.620 * [taylor]: Taking taylor expansion of K in K 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify 1 into 1 5.620 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.621 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.621 * [taylor]: Taking taylor expansion of J in K 5.621 * [backup-simplify]: Simplify J into J 5.621 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.621 * [backup-simplify]: Simplify (* 1 1) into 1 5.621 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.621 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.622 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.622 * [taylor]: Taking taylor expansion of 1 in K 5.622 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.622 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.622 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.622 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.622 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.623 * [backup-simplify]: Simplify (+ 0) into 0 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.625 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.626 * [backup-simplify]: Simplify (+ 0 0) into 0 5.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.626 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.626 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.626 * [taylor]: Taking taylor expansion of 1/4 in U 5.626 * [backup-simplify]: Simplify 1/4 into 1/4 5.626 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.626 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.626 * [taylor]: Taking taylor expansion of U in U 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify 1 into 1 5.626 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.626 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.626 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.626 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.626 * [taylor]: Taking taylor expansion of 1/2 in U 5.626 * [backup-simplify]: Simplify 1/2 into 1/2 5.627 * [taylor]: Taking taylor expansion of K in U 5.627 * [backup-simplify]: Simplify K into K 5.627 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.627 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.627 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.627 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.627 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.628 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.628 * [taylor]: Taking taylor expansion of J in U 5.628 * [backup-simplify]: Simplify J into J 5.628 * [backup-simplify]: Simplify (* 1 1) into 1 5.628 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.628 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.628 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.629 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.629 * [taylor]: Taking taylor expansion of 1 in U 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (+ 0 1) into 1 5.630 * [backup-simplify]: Simplify (sqrt 1) into 1 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.631 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.631 * [taylor]: Taking taylor expansion of 1/4 in U 5.631 * [backup-simplify]: Simplify 1/4 into 1/4 5.631 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.631 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.631 * [taylor]: Taking taylor expansion of U in U 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.631 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.631 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.631 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.631 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.631 * [taylor]: Taking taylor expansion of 1/2 in U 5.631 * [backup-simplify]: Simplify 1/2 into 1/2 5.631 * [taylor]: Taking taylor expansion of K in U 5.631 * [backup-simplify]: Simplify K into K 5.631 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.632 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.632 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.632 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.632 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.632 * [backup-simplify]: Simplify (- 0) into 0 5.632 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.632 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.632 * [taylor]: Taking taylor expansion of J in U 5.632 * [backup-simplify]: Simplify J into J 5.633 * [backup-simplify]: Simplify (* 1 1) into 1 5.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.633 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.633 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.633 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.634 * [taylor]: Taking taylor expansion of 1 in U 5.634 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (+ 0 1) into 1 5.634 * [backup-simplify]: Simplify (sqrt 1) into 1 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.636 * [taylor]: Taking taylor expansion of 1 in K 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of 1 in J 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of 0 in K 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [taylor]: Taking taylor expansion of 0 in J 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [taylor]: Taking taylor expansion of 0 in J 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [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))) 5.637 * [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)))) 5.638 * [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))) 5.638 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.638 * [taylor]: Taking taylor expansion of 1/8 in K 5.638 * [backup-simplify]: Simplify 1/8 into 1/8 5.638 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.638 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.639 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.639 * [taylor]: Taking taylor expansion of 1/2 in K 5.639 * [backup-simplify]: Simplify 1/2 into 1/2 5.639 * [taylor]: Taking taylor expansion of K in K 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.640 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.640 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.640 * [taylor]: Taking taylor expansion of J in K 5.640 * [backup-simplify]: Simplify J into J 5.640 * [backup-simplify]: Simplify (* 1 1) into 1 5.641 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.641 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.641 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 5.641 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 5.641 * [taylor]: Taking taylor expansion of 1/8 in J 5.641 * [backup-simplify]: Simplify 1/8 into 1/8 5.641 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.641 * [taylor]: Taking taylor expansion of J in J 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (* 1 1) into 1 5.642 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 5.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [taylor]: Taking taylor expansion of 0 in J 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [taylor]: Taking taylor expansion of 0 in J 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.645 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.645 * [backup-simplify]: Simplify (+ 0) into 0 5.646 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.648 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.648 * [backup-simplify]: Simplify (- 0) into 0 5.649 * [backup-simplify]: Simplify (+ 0 0) into 0 5.649 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.649 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.650 * [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 5.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 5.652 * [taylor]: Taking taylor expansion of 0 in K 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [taylor]: Taking taylor expansion of 0 in J 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.653 * [backup-simplify]: Simplify (+ 0) into 0 5.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.654 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 5.654 * [taylor]: Taking taylor expansion of 0 in J 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [taylor]: Taking taylor expansion of 0 in J 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [taylor]: Taking taylor expansion of 0 in J 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 5.656 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 5.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.656 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.656 * [taylor]: Taking taylor expansion of 1/4 in J 5.656 * [backup-simplify]: Simplify 1/4 into 1/4 5.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.656 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.656 * [taylor]: Taking taylor expansion of J in J 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.656 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.656 * [taylor]: Taking taylor expansion of U in J 5.656 * [backup-simplify]: Simplify U into U 5.656 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.656 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.656 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.656 * [taylor]: Taking taylor expansion of 1/2 in J 5.656 * [backup-simplify]: Simplify 1/2 into 1/2 5.656 * [taylor]: Taking taylor expansion of K in J 5.656 * [backup-simplify]: Simplify K into K 5.656 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.656 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.656 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.656 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.656 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.656 * [backup-simplify]: Simplify (- 0) into 0 5.656 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.657 * [backup-simplify]: Simplify (* 1 1) into 1 5.657 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.657 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.657 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.657 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.657 * [taylor]: Taking taylor expansion of 1 in J 5.657 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (+ 0 1) into 1 5.658 * [backup-simplify]: Simplify (sqrt 1) into 1 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.658 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.658 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.659 * [taylor]: Taking taylor expansion of 1/4 in K 5.659 * [backup-simplify]: Simplify 1/4 into 1/4 5.659 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.659 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.659 * [taylor]: Taking taylor expansion of J in K 5.659 * [backup-simplify]: Simplify J into J 5.659 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.659 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.659 * [taylor]: Taking taylor expansion of U in K 5.659 * [backup-simplify]: Simplify U into U 5.659 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.659 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.659 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.659 * [taylor]: Taking taylor expansion of 1/2 in K 5.659 * [backup-simplify]: Simplify 1/2 into 1/2 5.659 * [taylor]: Taking taylor expansion of K in K 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.659 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.659 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.659 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.659 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.659 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.659 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.660 * [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))) 5.660 * [taylor]: Taking taylor expansion of 1 in K 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [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)))) 5.660 * [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) 5.660 * [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)) 5.660 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.660 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.660 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.661 * [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 5.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.662 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.662 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.662 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.662 * [taylor]: Taking taylor expansion of 1/4 in U 5.662 * [backup-simplify]: Simplify 1/4 into 1/4 5.662 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.662 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.662 * [taylor]: Taking taylor expansion of J in U 5.662 * [backup-simplify]: Simplify J into J 5.662 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.662 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.662 * [taylor]: Taking taylor expansion of U in U 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.662 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.662 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.662 * [taylor]: Taking taylor expansion of 1/2 in U 5.662 * [backup-simplify]: Simplify 1/2 into 1/2 5.662 * [taylor]: Taking taylor expansion of K in U 5.662 * [backup-simplify]: Simplify K into K 5.662 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.663 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.663 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.663 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.663 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.664 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.664 * [backup-simplify]: Simplify (* 1 1) into 1 5.664 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.664 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.665 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.665 * [taylor]: Taking taylor expansion of 1 in U 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [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))) 5.665 * [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))) 5.665 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.665 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.665 * [backup-simplify]: Simplify (+ 0) into 0 5.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.667 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.667 * [backup-simplify]: Simplify (- 0) into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.668 * [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 5.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.669 * [backup-simplify]: Simplify (+ 0 0) into 0 5.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.669 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.669 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.669 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.669 * [taylor]: Taking taylor expansion of 1/4 in U 5.669 * [backup-simplify]: Simplify 1/4 into 1/4 5.669 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.669 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.669 * [taylor]: Taking taylor expansion of J in U 5.669 * [backup-simplify]: Simplify J into J 5.670 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.670 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.670 * [taylor]: Taking taylor expansion of U in U 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.670 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.670 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.670 * [taylor]: Taking taylor expansion of 1/2 in U 5.670 * [backup-simplify]: Simplify 1/2 into 1/2 5.670 * [taylor]: Taking taylor expansion of K in U 5.670 * [backup-simplify]: Simplify K into K 5.670 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.670 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.670 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.670 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.670 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.670 * [backup-simplify]: Simplify (- 0) into 0 5.670 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.670 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.671 * [backup-simplify]: Simplify (* 1 1) into 1 5.671 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.671 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.671 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.671 * [taylor]: Taking taylor expansion of 1 in U 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [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))) 5.671 * [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))) 5.671 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.671 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.672 * [backup-simplify]: Simplify (+ 0) into 0 5.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.672 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.673 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.673 * [backup-simplify]: Simplify (- 0) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.674 * [backup-simplify]: 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 5.675 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 5.675 * [taylor]: Taking taylor expansion of 1/2 in K 5.675 * [backup-simplify]: Simplify 1/2 into 1/2 5.675 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 5.675 * [taylor]: Taking taylor expansion of J in K 5.675 * [backup-simplify]: Simplify J into J 5.675 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.675 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.675 * [taylor]: Taking taylor expansion of 1/2 in K 5.675 * [backup-simplify]: Simplify 1/2 into 1/2 5.675 * [taylor]: Taking taylor expansion of K in K 5.675 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.676 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 5.676 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 5.676 * [taylor]: Taking taylor expansion of 1/2 in J 5.676 * [backup-simplify]: Simplify 1/2 into 1/2 5.676 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 5.676 * [taylor]: Taking taylor expansion of J in J 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.676 * [taylor]: Taking taylor expansion of 1/2 in J 5.676 * [backup-simplify]: Simplify 1/2 into 1/2 5.676 * [taylor]: Taking taylor expansion of K in J 5.676 * [backup-simplify]: Simplify K into K 5.676 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.676 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.676 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.677 * [backup-simplify]: Simplify (- 0) into 0 5.677 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.677 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.677 * [taylor]: Taking taylor expansion of 0 in K 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [taylor]: Taking taylor expansion of 0 in J 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 5.678 * [taylor]: Taking taylor expansion of 0 in J 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 5.678 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.678 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.685 * [backup-simplify]: Simplify (- 0) into 0 5.686 * [backup-simplify]: Simplify (+ 0 0) into 0 5.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.689 * [backup-simplify]: 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 5.690 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.691 * [backup-simplify]: Simplify (+ 0 1) into 1 5.692 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 5.692 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 5.692 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.692 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.692 * [taylor]: Taking taylor expansion of 1/2 in K 5.692 * [backup-simplify]: Simplify 1/2 into 1/2 5.692 * [taylor]: Taking taylor expansion of K in K 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.692 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.692 * [taylor]: Taking taylor expansion of J in K 5.692 * [backup-simplify]: Simplify J into J 5.693 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 5.693 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.693 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.693 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.693 * [taylor]: Taking taylor expansion of 1/2 in J 5.693 * [backup-simplify]: Simplify 1/2 into 1/2 5.693 * [taylor]: Taking taylor expansion of K in J 5.693 * [backup-simplify]: Simplify K into K 5.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.693 * [taylor]: Taking taylor expansion of J in J 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.693 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.694 * [backup-simplify]: Simplify (- 0) into 0 5.694 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.694 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.694 * [backup-simplify]: Simplify (+ 0) into 0 5.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.695 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.697 * [backup-simplify]: Simplify (- 0) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [taylor]: Taking taylor expansion of 0 in J 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [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 5.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 5.699 * [taylor]: Taking taylor expansion of 0 in J 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify (+ 0) into 0 5.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.702 * [backup-simplify]: Simplify (- 0) into 0 5.703 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.703 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.704 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 5.704 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 5.704 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.705 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.705 * [taylor]: Taking taylor expansion of 1 in J 5.705 * [backup-simplify]: Simplify 1 into 1 5.705 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.705 * [taylor]: Taking taylor expansion of 1/4 in J 5.705 * [backup-simplify]: Simplify 1/4 into 1/4 5.705 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.705 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.705 * [taylor]: Taking taylor expansion of J in J 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 1 into 1 5.705 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.705 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.705 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.705 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.705 * [taylor]: Taking taylor expansion of -1/2 in J 5.705 * [backup-simplify]: Simplify -1/2 into -1/2 5.705 * [taylor]: Taking taylor expansion of K in J 5.705 * [backup-simplify]: Simplify K into K 5.705 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.705 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.705 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.705 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.705 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.706 * [backup-simplify]: Simplify (- 0) into 0 5.706 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.706 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.706 * [taylor]: Taking taylor expansion of U in J 5.706 * [backup-simplify]: Simplify U into U 5.706 * [backup-simplify]: Simplify (* 1 1) into 1 5.707 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.707 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.707 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.707 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.707 * [backup-simplify]: Simplify (+ 1 0) into 1 5.708 * [backup-simplify]: Simplify (sqrt 1) into 1 5.708 * [backup-simplify]: Simplify (+ 0 0) into 0 5.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.709 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.709 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.709 * [taylor]: Taking taylor expansion of 1 in K 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.709 * [taylor]: Taking taylor expansion of 1/4 in K 5.709 * [backup-simplify]: Simplify 1/4 into 1/4 5.709 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.709 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.709 * [taylor]: Taking taylor expansion of J in K 5.709 * [backup-simplify]: Simplify J into J 5.709 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.709 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.709 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.709 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.709 * [taylor]: Taking taylor expansion of -1/2 in K 5.709 * [backup-simplify]: Simplify -1/2 into -1/2 5.709 * [taylor]: Taking taylor expansion of K in K 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.710 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.710 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.710 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.710 * [taylor]: Taking taylor expansion of U in K 5.710 * [backup-simplify]: Simplify U into U 5.710 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.710 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.710 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.710 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.710 * [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))) 5.710 * [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)))) 5.710 * [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))))) 5.711 * [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)))))) 5.711 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.711 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.711 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.711 * [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 5.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.712 * [backup-simplify]: Simplify (+ 0 0) into 0 5.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.712 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.712 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.712 * [taylor]: Taking taylor expansion of 1 in U 5.712 * [backup-simplify]: Simplify 1 into 1 5.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.712 * [taylor]: Taking taylor expansion of 1/4 in U 5.712 * [backup-simplify]: Simplify 1/4 into 1/4 5.712 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.712 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.712 * [taylor]: Taking taylor expansion of J in U 5.712 * [backup-simplify]: Simplify J into J 5.713 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.713 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.713 * [taylor]: Taking taylor expansion of -1/2 in U 5.713 * [backup-simplify]: Simplify -1/2 into -1/2 5.713 * [taylor]: Taking taylor expansion of K in U 5.713 * [backup-simplify]: Simplify K into K 5.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.713 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.713 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.713 * [backup-simplify]: Simplify (- 0) into 0 5.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.713 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.713 * [taylor]: Taking taylor expansion of U in U 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.714 * [backup-simplify]: Simplify (* 1 1) into 1 5.714 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.714 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.714 * [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))) 5.714 * [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))) 5.714 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.714 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.715 * [backup-simplify]: Simplify (+ 0) into 0 5.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.716 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.716 * [backup-simplify]: Simplify (- 0) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.717 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.717 * [backup-simplify]: 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 5.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.718 * [backup-simplify]: Simplify (+ 0 0) into 0 5.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.718 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.718 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.718 * [taylor]: Taking taylor expansion of 1 in U 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.718 * [taylor]: Taking taylor expansion of 1/4 in U 5.718 * [backup-simplify]: Simplify 1/4 into 1/4 5.718 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.718 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.718 * [taylor]: Taking taylor expansion of J in U 5.718 * [backup-simplify]: Simplify J into J 5.718 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.718 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.718 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.718 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.718 * [taylor]: Taking taylor expansion of -1/2 in U 5.718 * [backup-simplify]: Simplify -1/2 into -1/2 5.718 * [taylor]: Taking taylor expansion of K in U 5.718 * [backup-simplify]: Simplify K into K 5.718 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.718 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.719 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.719 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.719 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.719 * [backup-simplify]: Simplify (- 0) into 0 5.719 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.719 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.719 * [taylor]: Taking taylor expansion of U in U 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.719 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.719 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.720 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.720 * [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))) 5.720 * [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))) 5.720 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.720 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify (+ 0) into 0 5.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.722 * [backup-simplify]: Simplify (- 0) into 0 5.722 * [backup-simplify]: Simplify (+ 0 0) into 0 5.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.723 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.723 * [backup-simplify]: 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 5.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.724 * [backup-simplify]: Simplify (+ 0 0) into 0 5.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 5.724 * [taylor]: Taking taylor expansion of 1/2 in K 5.724 * [backup-simplify]: Simplify 1/2 into 1/2 5.724 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 5.724 * [taylor]: Taking taylor expansion of J in K 5.724 * [backup-simplify]: Simplify J into J 5.724 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.724 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.724 * [taylor]: Taking taylor expansion of -1/2 in K 5.724 * [backup-simplify]: Simplify -1/2 into -1/2 5.724 * [taylor]: Taking taylor expansion of K in K 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.725 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.725 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 5.725 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 5.725 * [taylor]: Taking taylor expansion of 1/2 in J 5.725 * [backup-simplify]: Simplify 1/2 into 1/2 5.725 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 5.725 * [taylor]: Taking taylor expansion of J in J 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.725 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.725 * [taylor]: Taking taylor expansion of -1/2 in J 5.725 * [backup-simplify]: Simplify -1/2 into -1/2 5.725 * [taylor]: Taking taylor expansion of K in J 5.725 * [backup-simplify]: Simplify K into K 5.725 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.725 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.725 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.725 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.725 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.726 * [backup-simplify]: Simplify (- 0) into 0 5.726 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.726 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 5.726 * [taylor]: Taking taylor expansion of 0 in K 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [taylor]: Taking taylor expansion of 0 in J 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 5.726 * [taylor]: Taking taylor expansion of 0 in J 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 5.727 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.727 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.729 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.729 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.730 * [backup-simplify]: Simplify (- 0) into 0 5.730 * [backup-simplify]: Simplify (+ 0 0) into 0 5.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.731 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.731 * [backup-simplify]: 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 5.732 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.732 * [backup-simplify]: Simplify (+ 1 0) into 1 5.732 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 5.732 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 5.732 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.732 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.732 * [taylor]: Taking taylor expansion of -1/2 in K 5.733 * [backup-simplify]: Simplify -1/2 into -1/2 5.733 * [taylor]: Taking taylor expansion of K in K 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.733 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.733 * [taylor]: Taking taylor expansion of J in K 5.733 * [backup-simplify]: Simplify J into J 5.733 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 5.733 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.733 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.733 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.733 * [taylor]: Taking taylor expansion of -1/2 in J 5.733 * [backup-simplify]: Simplify -1/2 into -1/2 5.733 * [taylor]: Taking taylor expansion of K in J 5.733 * [backup-simplify]: Simplify K into K 5.733 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.733 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.733 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.733 * [taylor]: Taking taylor expansion of J in J 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.733 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.734 * [backup-simplify]: Simplify (- 0) into 0 5.734 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.734 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.734 * [backup-simplify]: Simplify (+ 0) into 0 5.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.735 * [backup-simplify]: Simplify (- 0) into 0 5.736 * [backup-simplify]: Simplify (+ 0 0) into 0 5.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [taylor]: Taking taylor expansion of 0 in J 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [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 5.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 5.737 * [taylor]: Taking taylor expansion of 0 in J 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify (+ 0) into 0 5.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.740 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.740 * [backup-simplify]: Simplify (- 0) into 0 5.741 * [backup-simplify]: Simplify (+ 0 0) into 0 5.741 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.742 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.742 * [backup-simplify]: Simplify (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 5.743 * [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 5.743 * [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 5.743 * [taylor]: Taking taylor expansion of -2 in U 5.743 * [backup-simplify]: Simplify -2 into -2 5.743 * [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 5.743 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 5.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.743 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.743 * [taylor]: Taking taylor expansion of 1/2 in U 5.743 * [backup-simplify]: Simplify 1/2 into 1/2 5.743 * [taylor]: Taking taylor expansion of K in U 5.743 * [backup-simplify]: Simplify K into K 5.743 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.743 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.743 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.743 * [taylor]: Taking taylor expansion of J in U 5.743 * [backup-simplify]: Simplify J into J 5.743 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.743 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.743 * [taylor]: Taking taylor expansion of 1/4 in U 5.743 * [backup-simplify]: Simplify 1/4 into 1/4 5.743 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.743 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.743 * [taylor]: Taking taylor expansion of U in U 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.743 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.744 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.744 * [taylor]: Taking taylor expansion of 1/2 in U 5.744 * [backup-simplify]: Simplify 1/2 into 1/2 5.744 * [taylor]: Taking taylor expansion of K in U 5.744 * [backup-simplify]: Simplify K into K 5.744 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.744 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.744 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.744 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.744 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.745 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.745 * [taylor]: Taking taylor expansion of J in U 5.745 * [backup-simplify]: Simplify J into J 5.745 * [backup-simplify]: Simplify (* 1 1) into 1 5.745 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.745 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.745 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.746 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.746 * [taylor]: Taking taylor expansion of 1 in U 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [backup-simplify]: Simplify (+ 0 1) into 1 5.747 * [backup-simplify]: Simplify (sqrt 1) into 1 5.747 * [backup-simplify]: Simplify (+ 0 0) into 0 5.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.748 * [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 5.748 * [taylor]: Taking taylor expansion of -2 in K 5.748 * [backup-simplify]: Simplify -2 into -2 5.748 * [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 5.748 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 5.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.748 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.748 * [taylor]: Taking taylor expansion of 1/2 in K 5.748 * [backup-simplify]: Simplify 1/2 into 1/2 5.748 * [taylor]: Taking taylor expansion of K in K 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.749 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.749 * [taylor]: Taking taylor expansion of J in K 5.749 * [backup-simplify]: Simplify J into J 5.750 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.750 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.750 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.750 * [taylor]: Taking taylor expansion of 1/4 in K 5.750 * [backup-simplify]: Simplify 1/4 into 1/4 5.750 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.750 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.750 * [taylor]: Taking taylor expansion of U in K 5.750 * [backup-simplify]: Simplify U into U 5.750 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.750 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.750 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.750 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.750 * [taylor]: Taking taylor expansion of 1/2 in K 5.750 * [backup-simplify]: Simplify 1/2 into 1/2 5.750 * [taylor]: Taking taylor expansion of K in K 5.750 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify 1 into 1 5.750 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.751 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.751 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.751 * [taylor]: Taking taylor expansion of J in K 5.751 * [backup-simplify]: Simplify J into J 5.751 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.752 * [backup-simplify]: Simplify (* 1 1) into 1 5.752 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.752 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.752 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.752 * [taylor]: Taking taylor expansion of 1 in K 5.752 * [backup-simplify]: Simplify 1 into 1 5.752 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.753 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.753 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.753 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.753 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.753 * [backup-simplify]: Simplify (+ 0) into 0 5.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.755 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.756 * [backup-simplify]: Simplify (+ 0 0) into 0 5.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.756 * [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 5.756 * [taylor]: Taking taylor expansion of -2 in J 5.756 * [backup-simplify]: Simplify -2 into -2 5.756 * [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 5.756 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.757 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.757 * [taylor]: Taking taylor expansion of 1/2 in J 5.757 * [backup-simplify]: Simplify 1/2 into 1/2 5.757 * [taylor]: Taking taylor expansion of K in J 5.757 * [backup-simplify]: Simplify K into K 5.757 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.757 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.757 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.757 * [taylor]: Taking taylor expansion of J in J 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.757 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.757 * [taylor]: Taking taylor expansion of 1/4 in J 5.757 * [backup-simplify]: Simplify 1/4 into 1/4 5.757 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.757 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.757 * [taylor]: Taking taylor expansion of U in J 5.757 * [backup-simplify]: Simplify U into U 5.757 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.757 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.757 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.757 * [taylor]: Taking taylor expansion of 1/2 in J 5.757 * [backup-simplify]: Simplify 1/2 into 1/2 5.757 * [taylor]: Taking taylor expansion of K in J 5.757 * [backup-simplify]: Simplify K into K 5.758 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.758 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.758 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.758 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.758 * [backup-simplify]: Simplify (- 0) into 0 5.758 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.758 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.758 * [taylor]: Taking taylor expansion of J in J 5.758 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.759 * [backup-simplify]: Simplify (* 1 1) into 1 5.759 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.759 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.759 * [taylor]: Taking taylor expansion of 1 in J 5.759 * [backup-simplify]: Simplify 1 into 1 5.760 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 5.760 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 5.760 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.760 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.761 * [backup-simplify]: Simplify (+ 0) into 0 5.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.764 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.764 * [backup-simplify]: Simplify (- 0) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.765 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.766 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.766 * [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 5.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.767 * [backup-simplify]: Simplify (+ 0 0) into 0 5.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.768 * [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 5.768 * [taylor]: Taking taylor expansion of -2 in J 5.768 * [backup-simplify]: Simplify -2 into -2 5.768 * [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 5.768 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.768 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.768 * [taylor]: Taking taylor expansion of 1/2 in J 5.768 * [backup-simplify]: Simplify 1/2 into 1/2 5.768 * [taylor]: Taking taylor expansion of K in J 5.768 * [backup-simplify]: Simplify K into K 5.768 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.768 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.768 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.768 * [taylor]: Taking taylor expansion of J in J 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.768 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.768 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.768 * [taylor]: Taking taylor expansion of 1/4 in J 5.769 * [backup-simplify]: Simplify 1/4 into 1/4 5.769 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.769 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.769 * [taylor]: Taking taylor expansion of U in J 5.769 * [backup-simplify]: Simplify U into U 5.769 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.769 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.769 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.769 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.769 * [taylor]: Taking taylor expansion of 1/2 in J 5.769 * [backup-simplify]: Simplify 1/2 into 1/2 5.769 * [taylor]: Taking taylor expansion of K in J 5.769 * [backup-simplify]: Simplify K into K 5.769 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.769 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.769 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.769 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.769 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.770 * [backup-simplify]: Simplify (- 0) into 0 5.770 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.770 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.770 * [taylor]: Taking taylor expansion of J in J 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 1 into 1 5.770 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.771 * [backup-simplify]: Simplify (* 1 1) into 1 5.771 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.771 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.771 * [taylor]: Taking taylor expansion of 1 in J 5.771 * [backup-simplify]: Simplify 1 into 1 5.771 * [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))) 5.771 * [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))) 5.772 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.772 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.773 * [backup-simplify]: Simplify (+ 0) into 0 5.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.776 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.776 * [backup-simplify]: Simplify (- 0) into 0 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.777 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.778 * [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 5.778 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.779 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.779 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.780 * [backup-simplify]: Simplify (- 0) into 0 5.780 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.780 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 5.780 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 5.780 * [backup-simplify]: Simplify (* -2 0) into 0 5.780 * [taylor]: Taking taylor expansion of 0 in K 5.780 * [backup-simplify]: Simplify 0 into 0 5.781 * [taylor]: Taking taylor expansion of 0 in U 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (+ 0) into 0 5.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.783 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.784 * [backup-simplify]: Simplify (- 0) into 0 5.784 * [backup-simplify]: Simplify (+ 0 0) into 0 5.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 5.785 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 5.786 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 5.786 * [taylor]: Taking taylor expansion of (- U) in K 5.786 * [taylor]: Taking taylor expansion of U in K 5.786 * [backup-simplify]: Simplify U into U 5.786 * [backup-simplify]: Simplify (- U) into (- U) 5.786 * [taylor]: Taking taylor expansion of (- U) in U 5.786 * [taylor]: Taking taylor expansion of U in U 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 1 into 1 5.786 * [backup-simplify]: Simplify (- 0) into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [taylor]: Taking taylor expansion of 0 in U 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.789 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.792 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.792 * [backup-simplify]: Simplify (- 0) into 0 5.793 * [backup-simplify]: Simplify (+ 0 0) into 0 5.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.794 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.795 * [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 5.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 5.796 * [backup-simplify]: Simplify (+ 0 1) into 1 5.797 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 5.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.800 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.801 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.801 * [backup-simplify]: Simplify (- 0) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 5.803 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 5.804 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 5.804 * [taylor]: Taking taylor expansion of 0 in K 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [taylor]: Taking taylor expansion of 0 in U 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (- 0) into 0 5.804 * [taylor]: Taking taylor expansion of 0 in U 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify (* (/ 1 J) (* (* -2 (cos (/ (/ 1 K) 2))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 5.805 * [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 5.805 * [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 5.805 * [taylor]: Taking taylor expansion of -2 in U 5.805 * [backup-simplify]: Simplify -2 into -2 5.805 * [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 5.806 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.806 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.806 * [taylor]: Taking taylor expansion of 1/4 in U 5.806 * [backup-simplify]: Simplify 1/4 into 1/4 5.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.806 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.806 * [taylor]: Taking taylor expansion of J in U 5.806 * [backup-simplify]: Simplify J into J 5.806 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.806 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.806 * [taylor]: Taking taylor expansion of U in U 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.806 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.806 * [taylor]: Taking taylor expansion of 1/2 in U 5.806 * [backup-simplify]: Simplify 1/2 into 1/2 5.806 * [taylor]: Taking taylor expansion of K in U 5.806 * [backup-simplify]: Simplify K into K 5.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.807 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.807 * [backup-simplify]: Simplify (- 0) into 0 5.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.807 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.808 * [backup-simplify]: Simplify (* 1 1) into 1 5.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.808 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.808 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.808 * [taylor]: Taking taylor expansion of 1 in U 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [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))) 5.809 * [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))) 5.809 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.809 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.809 * [backup-simplify]: Simplify (+ 0) into 0 5.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.812 * [backup-simplify]: Simplify (- 0) into 0 5.812 * [backup-simplify]: Simplify (+ 0 0) into 0 5.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.814 * [backup-simplify]: 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 5.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.815 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 5.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.815 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.815 * [taylor]: Taking taylor expansion of 1/2 in U 5.816 * [backup-simplify]: Simplify 1/2 into 1/2 5.816 * [taylor]: Taking taylor expansion of K in U 5.816 * [backup-simplify]: Simplify K into K 5.816 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.816 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.816 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.816 * [taylor]: Taking taylor expansion of J in U 5.816 * [backup-simplify]: Simplify J into J 5.816 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.816 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.816 * [backup-simplify]: Simplify (- 0) into 0 5.817 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.817 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 5.817 * [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 5.817 * [taylor]: Taking taylor expansion of -2 in K 5.817 * [backup-simplify]: Simplify -2 into -2 5.817 * [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 5.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.817 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.817 * [taylor]: Taking taylor expansion of 1/4 in K 5.817 * [backup-simplify]: Simplify 1/4 into 1/4 5.817 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.817 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.817 * [taylor]: Taking taylor expansion of J in K 5.817 * [backup-simplify]: Simplify J into J 5.817 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.817 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.817 * [taylor]: Taking taylor expansion of U in K 5.817 * [backup-simplify]: Simplify U into U 5.817 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.817 * [taylor]: Taking taylor expansion of 1/2 in K 5.817 * [backup-simplify]: Simplify 1/2 into 1/2 5.817 * [taylor]: Taking taylor expansion of K in K 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.818 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.818 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.818 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.818 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.819 * [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))) 5.819 * [taylor]: Taking taylor expansion of 1 in K 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [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)))) 5.819 * [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) 5.820 * [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)) 5.820 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.820 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.820 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.821 * [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 5.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.827 * [backup-simplify]: Simplify (+ 0 0) into 0 5.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.827 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 5.827 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.827 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.827 * [taylor]: Taking taylor expansion of 1/2 in K 5.827 * [backup-simplify]: Simplify 1/2 into 1/2 5.827 * [taylor]: Taking taylor expansion of K in K 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.828 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.828 * [taylor]: Taking taylor expansion of J in K 5.828 * [backup-simplify]: Simplify J into J 5.828 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 5.828 * [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 5.828 * [taylor]: Taking taylor expansion of -2 in J 5.828 * [backup-simplify]: Simplify -2 into -2 5.828 * [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 5.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.828 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.828 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.828 * [taylor]: Taking taylor expansion of 1/4 in J 5.828 * [backup-simplify]: Simplify 1/4 into 1/4 5.828 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.828 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.828 * [taylor]: Taking taylor expansion of J in J 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.829 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.829 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.829 * [taylor]: Taking taylor expansion of U in J 5.829 * [backup-simplify]: Simplify U into U 5.829 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.829 * [taylor]: Taking taylor expansion of 1/2 in J 5.829 * [backup-simplify]: Simplify 1/2 into 1/2 5.829 * [taylor]: Taking taylor expansion of K in J 5.829 * [backup-simplify]: Simplify K into K 5.829 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.829 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.829 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.829 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.829 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.830 * [backup-simplify]: Simplify (- 0) into 0 5.830 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.830 * [backup-simplify]: Simplify (* 1 1) into 1 5.830 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.830 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.831 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.831 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.831 * [taylor]: Taking taylor expansion of 1 in J 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (+ 0 1) into 1 5.832 * [backup-simplify]: Simplify (sqrt 1) into 1 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.833 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.833 * [taylor]: Taking taylor expansion of 1/2 in J 5.833 * [backup-simplify]: Simplify 1/2 into 1/2 5.833 * [taylor]: Taking taylor expansion of K in J 5.833 * [backup-simplify]: Simplify K into K 5.833 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.833 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.833 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.833 * [taylor]: Taking taylor expansion of J in J 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.834 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.834 * [backup-simplify]: Simplify (- 0) into 0 5.834 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.834 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.834 * [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 5.834 * [taylor]: Taking taylor expansion of -2 in J 5.834 * [backup-simplify]: Simplify -2 into -2 5.834 * [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 5.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.834 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.834 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.834 * [taylor]: Taking taylor expansion of 1/4 in J 5.834 * [backup-simplify]: Simplify 1/4 into 1/4 5.835 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.835 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.835 * [taylor]: Taking taylor expansion of J in J 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.835 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.835 * [taylor]: Taking taylor expansion of U in J 5.835 * [backup-simplify]: Simplify U into U 5.835 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.835 * [taylor]: Taking taylor expansion of 1/2 in J 5.835 * [backup-simplify]: Simplify 1/2 into 1/2 5.835 * [taylor]: Taking taylor expansion of K in J 5.835 * [backup-simplify]: Simplify K into K 5.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.835 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.835 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.835 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.836 * [backup-simplify]: Simplify (- 0) into 0 5.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.836 * [backup-simplify]: Simplify (* 1 1) into 1 5.836 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.837 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.837 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.837 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.837 * [taylor]: Taking taylor expansion of 1 in J 5.837 * [backup-simplify]: Simplify 1 into 1 5.838 * [backup-simplify]: Simplify (+ 0 1) into 1 5.838 * [backup-simplify]: Simplify (sqrt 1) into 1 5.838 * [backup-simplify]: Simplify (+ 0 0) into 0 5.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.839 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.839 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.839 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.839 * [taylor]: Taking taylor expansion of 1/2 in J 5.840 * [backup-simplify]: Simplify 1/2 into 1/2 5.840 * [taylor]: Taking taylor expansion of K in J 5.840 * [backup-simplify]: Simplify K into K 5.840 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.840 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.840 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.840 * [taylor]: Taking taylor expansion of J in J 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.840 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.841 * [backup-simplify]: Simplify (- 0) into 0 5.841 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.841 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.841 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 5.841 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.841 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 5.841 * [taylor]: Taking taylor expansion of -2 in K 5.841 * [backup-simplify]: Simplify -2 into -2 5.841 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.841 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.841 * [taylor]: Taking taylor expansion of 1/2 in K 5.841 * [backup-simplify]: Simplify 1/2 into 1/2 5.841 * [taylor]: Taking taylor expansion of K in K 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.842 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.842 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.842 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 5.842 * [taylor]: Taking taylor expansion of -2 in U 5.842 * [backup-simplify]: Simplify -2 into -2 5.842 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.842 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.842 * [taylor]: Taking taylor expansion of 1/2 in U 5.842 * [backup-simplify]: Simplify 1/2 into 1/2 5.842 * [taylor]: Taking taylor expansion of K in U 5.842 * [backup-simplify]: Simplify K into K 5.842 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.842 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.842 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.843 * [backup-simplify]: Simplify (+ 0) into 0 5.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.845 * [backup-simplify]: Simplify (- 0) into 0 5.846 * [backup-simplify]: Simplify (+ 0 0) into 0 5.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 5.848 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 5.848 * [taylor]: Taking taylor expansion of 0 in K 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [taylor]: Taking taylor expansion of 0 in U 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 5.849 * [taylor]: Taking taylor expansion of 0 in U 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.849 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.849 * [backup-simplify]: Simplify (- 0) into 0 5.849 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.849 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.849 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.852 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.853 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.853 * [backup-simplify]: Simplify (- 0) into 0 5.854 * [backup-simplify]: Simplify (+ 0 0) into 0 5.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.855 * [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))) 5.855 * [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)))) 5.856 * [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))) 5.856 * [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))))) 5.857 * [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)))))) 5.857 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 5.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 5.857 * [taylor]: Taking taylor expansion of 1/4 in K 5.857 * [backup-simplify]: Simplify 1/4 into 1/4 5.857 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 5.857 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 5.857 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.857 * [taylor]: Taking taylor expansion of U in K 5.857 * [backup-simplify]: Simplify U into U 5.857 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.857 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.857 * [taylor]: Taking taylor expansion of 1/2 in K 5.857 * [backup-simplify]: Simplify 1/2 into 1/2 5.857 * [taylor]: Taking taylor expansion of K in K 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.857 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.857 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.857 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 5.858 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 5.858 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 5.858 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 5.858 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 5.858 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 5.858 * [taylor]: Taking taylor expansion of 1/4 in U 5.858 * [backup-simplify]: Simplify 1/4 into 1/4 5.858 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 5.858 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 5.858 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.858 * [taylor]: Taking taylor expansion of U in U 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.858 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.858 * [taylor]: Taking taylor expansion of 1/2 in U 5.858 * [backup-simplify]: Simplify 1/2 into 1/2 5.858 * [taylor]: Taking taylor expansion of K in U 5.858 * [backup-simplify]: Simplify K into K 5.858 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.858 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.858 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.858 * [backup-simplify]: Simplify (* 1 1) into 1 5.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.859 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.859 * [backup-simplify]: Simplify (- 0) into 0 5.859 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.859 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 5.859 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.859 * [backup-simplify]: Simplify (+ 0) into 0 5.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.861 * [backup-simplify]: Simplify (- 0) into 0 5.861 * [backup-simplify]: Simplify (+ 0 0) into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 5.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.862 * [backup-simplify]: Simplify (- 0) into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [taylor]: Taking taylor expansion of 0 in U 5.862 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.863 * [taylor]: Taking taylor expansion of 0 in U 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify (+ 0) into 0 5.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.865 * [backup-simplify]: Simplify (- 0) into 0 5.865 * [backup-simplify]: Simplify (+ 0 0) into 0 5.865 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.868 * [backup-simplify]: Simplify (- 0) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.870 * [backup-simplify]: Simplify (+ 0) into 0 5.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.872 * [backup-simplify]: Simplify (- 0) into 0 5.872 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.872 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.872 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.873 * [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 5.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.873 * [backup-simplify]: Simplify (+ 0 0) into 0 5.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 5.874 * [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 5.875 * [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 5.875 * [taylor]: Taking taylor expansion of 0 in K 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [taylor]: Taking taylor expansion of 0 in U 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.875 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 5.876 * [backup-simplify]: Simplify (- 0) into 0 5.876 * [taylor]: Taking taylor expansion of 0 in U 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [taylor]: Taking taylor expansion of 0 in U 5.876 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.877 * [taylor]: Taking taylor expansion of 0 in U 5.877 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.879 * [backup-simplify]: Simplify (- 0) into 0 5.880 * [backup-simplify]: Simplify (+ 0 0) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 5.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 5.882 * [backup-simplify]: Simplify (- 0) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 5.884 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (* -2 (cos (/ (/ 1 (- K)) 2))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 5.884 * [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 5.884 * [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 5.884 * [taylor]: Taking taylor expansion of 2 in U 5.884 * [backup-simplify]: Simplify 2 into 2 5.884 * [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 5.884 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 5.884 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.884 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.884 * [taylor]: Taking taylor expansion of -1/2 in U 5.884 * [backup-simplify]: Simplify -1/2 into -1/2 5.884 * [taylor]: Taking taylor expansion of K in U 5.884 * [backup-simplify]: Simplify K into K 5.884 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.884 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.884 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.884 * [taylor]: Taking taylor expansion of J in U 5.884 * [backup-simplify]: Simplify J into J 5.884 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.885 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.885 * [backup-simplify]: Simplify (- 0) into 0 5.885 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.886 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 5.886 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.886 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.886 * [taylor]: Taking taylor expansion of 1 in U 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.886 * [taylor]: Taking taylor expansion of 1/4 in U 5.886 * [backup-simplify]: Simplify 1/4 into 1/4 5.886 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.886 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.886 * [taylor]: Taking taylor expansion of J in U 5.886 * [backup-simplify]: Simplify J into J 5.886 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.886 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.886 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.886 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.886 * [taylor]: Taking taylor expansion of -1/2 in U 5.886 * [backup-simplify]: Simplify -1/2 into -1/2 5.886 * [taylor]: Taking taylor expansion of K in U 5.886 * [backup-simplify]: Simplify K into K 5.886 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.886 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.886 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.886 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.887 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.887 * [backup-simplify]: Simplify (- 0) into 0 5.887 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.887 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.887 * [taylor]: Taking taylor expansion of U in U 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.888 * [backup-simplify]: Simplify (* 1 1) into 1 5.888 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.888 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.889 * [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))) 5.889 * [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))) 5.889 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.889 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.891 * [backup-simplify]: Simplify (+ 0) into 0 5.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.893 * [backup-simplify]: Simplify (- 0) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.894 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.895 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 5.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.896 * [backup-simplify]: Simplify (+ 0 0) into 0 5.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.896 * [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 5.896 * [taylor]: Taking taylor expansion of 2 in K 5.896 * [backup-simplify]: Simplify 2 into 2 5.896 * [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 5.896 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 5.896 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.896 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.896 * [taylor]: Taking taylor expansion of -1/2 in K 5.897 * [backup-simplify]: Simplify -1/2 into -1/2 5.897 * [taylor]: Taking taylor expansion of K in K 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.897 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.897 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.897 * [taylor]: Taking taylor expansion of J in K 5.897 * [backup-simplify]: Simplify J into J 5.897 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 5.897 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.897 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.897 * [taylor]: Taking taylor expansion of 1 in K 5.897 * [backup-simplify]: Simplify 1 into 1 5.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.897 * [taylor]: Taking taylor expansion of 1/4 in K 5.897 * [backup-simplify]: Simplify 1/4 into 1/4 5.898 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.898 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.898 * [taylor]: Taking taylor expansion of J in K 5.898 * [backup-simplify]: Simplify J into J 5.898 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.898 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.898 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.898 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.898 * [taylor]: Taking taylor expansion of -1/2 in K 5.898 * [backup-simplify]: Simplify -1/2 into -1/2 5.898 * [taylor]: Taking taylor expansion of K in K 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.898 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.898 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.898 * [taylor]: Taking taylor expansion of U in K 5.898 * [backup-simplify]: Simplify U into U 5.899 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.899 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.899 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.899 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.899 * [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))) 5.899 * [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)))) 5.900 * [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))))) 5.900 * [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)))))) 5.900 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.900 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.901 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.901 * [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 5.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.903 * [backup-simplify]: Simplify (+ 0 0) into 0 5.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.904 * [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 5.904 * [taylor]: Taking taylor expansion of 2 in J 5.904 * [backup-simplify]: Simplify 2 into 2 5.904 * [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 5.904 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.904 * [taylor]: Taking taylor expansion of -1/2 in J 5.904 * [backup-simplify]: Simplify -1/2 into -1/2 5.904 * [taylor]: Taking taylor expansion of K in J 5.904 * [backup-simplify]: Simplify K into K 5.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.904 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.904 * [taylor]: Taking taylor expansion of J in J 5.904 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.905 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.905 * [backup-simplify]: Simplify (- 0) into 0 5.905 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.905 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.906 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.906 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.906 * [taylor]: Taking taylor expansion of 1 in J 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.906 * [taylor]: Taking taylor expansion of 1/4 in J 5.906 * [backup-simplify]: Simplify 1/4 into 1/4 5.906 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.906 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.906 * [taylor]: Taking taylor expansion of J in J 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.906 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.906 * [taylor]: Taking taylor expansion of -1/2 in J 5.906 * [backup-simplify]: Simplify -1/2 into -1/2 5.906 * [taylor]: Taking taylor expansion of K in J 5.906 * [backup-simplify]: Simplify K into K 5.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.906 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.907 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.907 * [backup-simplify]: Simplify (- 0) into 0 5.907 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.907 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.907 * [taylor]: Taking taylor expansion of U in J 5.907 * [backup-simplify]: Simplify U into U 5.908 * [backup-simplify]: Simplify (* 1 1) into 1 5.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.908 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.908 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.908 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.909 * [backup-simplify]: Simplify (+ 1 0) into 1 5.909 * [backup-simplify]: Simplify (sqrt 1) into 1 5.910 * [backup-simplify]: Simplify (+ 0 0) into 0 5.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.910 * [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 5.910 * [taylor]: Taking taylor expansion of 2 in J 5.910 * [backup-simplify]: Simplify 2 into 2 5.910 * [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 5.910 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.910 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.911 * [taylor]: Taking taylor expansion of -1/2 in J 5.911 * [backup-simplify]: Simplify -1/2 into -1/2 5.911 * [taylor]: Taking taylor expansion of K in J 5.911 * [backup-simplify]: Simplify K into K 5.911 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.911 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.911 * [taylor]: Taking taylor expansion of J in J 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.911 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.911 * [backup-simplify]: Simplify (- 0) into 0 5.912 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.912 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.912 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.912 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.912 * [taylor]: Taking taylor expansion of 1 in J 5.912 * [backup-simplify]: Simplify 1 into 1 5.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.912 * [taylor]: Taking taylor expansion of 1/4 in J 5.912 * [backup-simplify]: Simplify 1/4 into 1/4 5.912 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.912 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.912 * [taylor]: Taking taylor expansion of J in J 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify 1 into 1 5.912 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.912 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.912 * [taylor]: Taking taylor expansion of -1/2 in J 5.912 * [backup-simplify]: Simplify -1/2 into -1/2 5.912 * [taylor]: Taking taylor expansion of K in J 5.912 * [backup-simplify]: Simplify K into K 5.912 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.913 * [backup-simplify]: Simplify (- 0) into 0 5.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.913 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.913 * [taylor]: Taking taylor expansion of U in J 5.913 * [backup-simplify]: Simplify U into U 5.913 * [backup-simplify]: Simplify (* 1 1) into 1 5.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.913 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.914 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.914 * [backup-simplify]: Simplify (+ 1 0) into 1 5.914 * [backup-simplify]: Simplify (sqrt 1) into 1 5.914 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.915 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.915 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 5.915 * [taylor]: Taking taylor expansion of 2 in K 5.915 * [backup-simplify]: Simplify 2 into 2 5.915 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.915 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.915 * [taylor]: Taking taylor expansion of -1/2 in K 5.915 * [backup-simplify]: Simplify -1/2 into -1/2 5.915 * [taylor]: Taking taylor expansion of K in K 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.916 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.916 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.916 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 5.916 * [taylor]: Taking taylor expansion of 2 in U 5.916 * [backup-simplify]: Simplify 2 into 2 5.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.916 * [taylor]: Taking taylor expansion of -1/2 in U 5.916 * [backup-simplify]: Simplify -1/2 into -1/2 5.916 * [taylor]: Taking taylor expansion of K in U 5.916 * [backup-simplify]: Simplify K into K 5.916 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.916 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.916 * [backup-simplify]: Simplify (+ 0) into 0 5.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.918 * [backup-simplify]: Simplify (- 0) into 0 5.918 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 5.919 * [taylor]: Taking taylor expansion of 0 in K 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [taylor]: Taking taylor expansion of 0 in U 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 5.919 * [taylor]: Taking taylor expansion of 0 in U 5.919 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.920 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.920 * [backup-simplify]: Simplify (- 0) into 0 5.920 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.920 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.920 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.920 * [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))) 5.920 * [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)))) 5.921 * [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))) 5.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.923 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.923 * [backup-simplify]: Simplify (- 0) into 0 5.924 * [backup-simplify]: Simplify (+ 0 0) into 0 5.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.925 * [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)))) 5.926 * [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)))) 5.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 5.926 * [taylor]: Taking taylor expansion of 1/4 in K 5.926 * [backup-simplify]: Simplify 1/4 into 1/4 5.926 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 5.926 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 5.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.926 * [taylor]: Taking taylor expansion of -1/2 in K 5.926 * [backup-simplify]: Simplify -1/2 into -1/2 5.926 * [taylor]: Taking taylor expansion of K in K 5.926 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify 1 into 1 5.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.926 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.926 * [taylor]: Taking taylor expansion of U in K 5.926 * [backup-simplify]: Simplify U into U 5.926 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 5.926 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 5.926 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 5.926 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 5.926 * [taylor]: Taking taylor expansion of 1/4 in U 5.926 * [backup-simplify]: Simplify 1/4 into 1/4 5.927 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 5.927 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.927 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.927 * [taylor]: Taking taylor expansion of -1/2 in U 5.927 * [backup-simplify]: Simplify -1/2 into -1/2 5.927 * [taylor]: Taking taylor expansion of K in U 5.927 * [backup-simplify]: Simplify K into K 5.927 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.927 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.927 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.927 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.927 * [taylor]: Taking taylor expansion of U in U 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.927 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.927 * [backup-simplify]: Simplify (- 0) into 0 5.927 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.927 * [backup-simplify]: Simplify (* 1 1) into 1 5.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.928 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 5.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.928 * [backup-simplify]: Simplify (+ 0) into 0 5.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.930 * [backup-simplify]: Simplify (- 0) into 0 5.930 * [backup-simplify]: Simplify (+ 0 0) into 0 5.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.930 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [taylor]: Taking taylor expansion of 0 in U 5.930 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.931 * [taylor]: Taking taylor expansion of 0 in U 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (+ 0) into 0 5.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.933 * [backup-simplify]: Simplify (- 0) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 5.933 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.934 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.934 * [backup-simplify]: Simplify (+ 0) into 0 5.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.937 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.937 * [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 5.937 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.938 * [backup-simplify]: Simplify (+ 0 0) into 0 5.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 5.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.939 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.941 * [backup-simplify]: Simplify (- 0) into 0 5.941 * [backup-simplify]: Simplify (+ 0 0) into 0 5.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.944 * [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 5.945 * [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 5.945 * [taylor]: Taking taylor expansion of 0 in K 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [taylor]: Taking taylor expansion of 0 in U 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 5.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 5.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 5.947 * [taylor]: Taking taylor expansion of 0 in U 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [taylor]: Taking taylor expansion of 0 in U 5.947 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 5.952 * [taylor]: Taking taylor expansion of 0 in U 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.955 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.957 * [backup-simplify]: Simplify (- 0) into 0 5.957 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.959 * [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 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 5.959 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 5.959 * [backup-simplify]: Simplify (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.959 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 5.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.960 * [taylor]: Taking taylor expansion of 1/4 in J 5.960 * [backup-simplify]: Simplify 1/4 into 1/4 5.960 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.960 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.960 * [taylor]: Taking taylor expansion of U in J 5.960 * [backup-simplify]: Simplify U into U 5.960 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.960 * [taylor]: Taking taylor expansion of 1/2 in J 5.960 * [backup-simplify]: Simplify 1/2 into 1/2 5.960 * [taylor]: Taking taylor expansion of K in J 5.960 * [backup-simplify]: Simplify K into K 5.960 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.960 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.960 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.960 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.961 * [backup-simplify]: Simplify (- 0) into 0 5.961 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.961 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.961 * [taylor]: Taking taylor expansion of J in J 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.961 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.961 * [backup-simplify]: Simplify (* 1 1) into 1 5.962 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.962 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.962 * [taylor]: Taking taylor expansion of 1/4 in K 5.962 * [backup-simplify]: Simplify 1/4 into 1/4 5.962 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.962 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.962 * [taylor]: Taking taylor expansion of U in K 5.962 * [backup-simplify]: Simplify U into U 5.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.962 * [taylor]: Taking taylor expansion of 1/2 in K 5.962 * [backup-simplify]: Simplify 1/2 into 1/2 5.962 * [taylor]: Taking taylor expansion of K in K 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.963 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.963 * [taylor]: Taking taylor expansion of J in K 5.963 * [backup-simplify]: Simplify J into J 5.964 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.964 * [backup-simplify]: Simplify (* 1 1) into 1 5.964 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.964 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.964 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.964 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.964 * [taylor]: Taking taylor expansion of 1/4 in U 5.964 * [backup-simplify]: Simplify 1/4 into 1/4 5.964 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.964 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.964 * [taylor]: Taking taylor expansion of U in U 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.964 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.964 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.964 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.964 * [taylor]: Taking taylor expansion of 1/2 in U 5.965 * [backup-simplify]: Simplify 1/2 into 1/2 5.965 * [taylor]: Taking taylor expansion of K in U 5.965 * [backup-simplify]: Simplify K into K 5.965 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.965 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.965 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.965 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.965 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.965 * [backup-simplify]: Simplify (- 0) into 0 5.965 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.966 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.966 * [taylor]: Taking taylor expansion of J in U 5.966 * [backup-simplify]: Simplify J into J 5.966 * [backup-simplify]: Simplify (* 1 1) into 1 5.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.966 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.966 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.966 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.967 * [taylor]: Taking taylor expansion of 1/4 in U 5.967 * [backup-simplify]: Simplify 1/4 into 1/4 5.967 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.967 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.967 * [taylor]: Taking taylor expansion of U in U 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 1 into 1 5.967 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.967 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.967 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.967 * [taylor]: Taking taylor expansion of 1/2 in U 5.967 * [backup-simplify]: Simplify 1/2 into 1/2 5.967 * [taylor]: Taking taylor expansion of K in U 5.967 * [backup-simplify]: Simplify K into K 5.967 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.967 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.967 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.967 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.968 * [backup-simplify]: Simplify (- 0) into 0 5.968 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.968 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.968 * [taylor]: Taking taylor expansion of J in U 5.968 * [backup-simplify]: Simplify J into J 5.968 * [backup-simplify]: Simplify (* 1 1) into 1 5.968 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.969 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.969 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.969 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.969 * [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))) 5.969 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.969 * [taylor]: Taking taylor expansion of 1/4 in K 5.969 * [backup-simplify]: Simplify 1/4 into 1/4 5.969 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.969 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.970 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.970 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.970 * [taylor]: Taking taylor expansion of 1/2 in K 5.970 * [backup-simplify]: Simplify 1/2 into 1/2 5.970 * [taylor]: Taking taylor expansion of K in K 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.971 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.971 * [taylor]: Taking taylor expansion of J in K 5.971 * [backup-simplify]: Simplify J into J 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 (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 5.972 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 5.972 * [taylor]: Taking taylor expansion of 1/4 in J 5.972 * [backup-simplify]: Simplify 1/4 into 1/4 5.972 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.972 * [taylor]: Taking taylor expansion of J in J 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (* 1 1) into 1 5.973 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 5.973 * [backup-simplify]: Simplify 1/4 into 1/4 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.974 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.974 * [backup-simplify]: Simplify (+ 0) into 0 5.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.976 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.977 * [backup-simplify]: Simplify (- 0) into 0 5.977 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.977 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.978 * [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 5.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.979 * [taylor]: Taking taylor expansion of 0 in K 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [taylor]: Taking taylor expansion of 0 in J 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.979 * [backup-simplify]: Simplify (+ 0) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.980 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 5.980 * [taylor]: Taking taylor expansion of 0 in J 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 5.982 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.983 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.988 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.988 * [backup-simplify]: Simplify (- 0) into 0 5.988 * [backup-simplify]: Simplify (+ 0 0) into 0 5.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.989 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 5.990 * [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 5.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 5.990 * [taylor]: Taking taylor expansion of 0 in K 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [taylor]: Taking taylor expansion of 0 in J 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [taylor]: Taking taylor expansion of 0 in J 5.990 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.992 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 5.993 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 5.993 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 5.993 * [taylor]: Taking taylor expansion of 1/16 in J 5.993 * [backup-simplify]: Simplify 1/16 into 1/16 5.993 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 5.993 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.993 * [taylor]: Taking taylor expansion of J in J 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (* 1 1) into 1 5.993 * [backup-simplify]: Simplify (/ 1 1) into 1 5.994 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 5.994 * [backup-simplify]: Simplify 1/16 into 1/16 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.997 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 5.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.999 * [backup-simplify]: Simplify (- 0) into 0 6.000 * [backup-simplify]: Simplify (+ 0 0) into 0 6.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.001 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 6.001 * [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 6.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 6.002 * [taylor]: Taking taylor expansion of 0 in K 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [taylor]: Taking taylor expansion of 0 in J 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [taylor]: Taking taylor expansion of 0 in J 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [taylor]: Taking taylor expansion of 0 in J 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.004 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 6.006 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 6.006 * [taylor]: Taking taylor expansion of 0 in J 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.010 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.011 * [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 6.012 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 6.014 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.014 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.014 * [backup-simplify]: Simplify (- 0) into 0 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 6.016 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 6.017 * [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 6.019 * [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 6.019 * [taylor]: Taking taylor expansion of 0 in K 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [taylor]: Taking taylor expansion of 0 in J 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [taylor]: Taking taylor expansion of 0 in J 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [taylor]: Taking taylor expansion of 0 in J 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [taylor]: Taking taylor expansion of 0 in J 6.019 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 6.026 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 6.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 6.028 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 6.028 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 6.028 * [taylor]: Taking taylor expansion of 1/96 in J 6.029 * [backup-simplify]: Simplify 1/96 into 1/96 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 6.029 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.029 * [taylor]: Taking taylor expansion of J in J 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (* 1 1) into 1 6.029 * [backup-simplify]: Simplify (/ 1 1) into 1 6.030 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 6.030 * [backup-simplify]: Simplify 1/96 into 1/96 6.031 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 6.032 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.032 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 6.032 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.032 * [taylor]: Taking taylor expansion of 1/4 in J 6.032 * [backup-simplify]: Simplify 1/4 into 1/4 6.032 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.032 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.032 * [taylor]: Taking taylor expansion of J in J 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.032 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.032 * [taylor]: Taking taylor expansion of U in J 6.032 * [backup-simplify]: Simplify U into U 6.032 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.032 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.032 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.032 * [taylor]: Taking taylor expansion of 1/2 in J 6.032 * [backup-simplify]: Simplify 1/2 into 1/2 6.032 * [taylor]: Taking taylor expansion of K in J 6.032 * [backup-simplify]: Simplify K into K 6.032 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.032 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.032 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.033 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.033 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.033 * [backup-simplify]: Simplify (- 0) into 0 6.033 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.034 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.034 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.034 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.034 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.034 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.034 * [taylor]: Taking taylor expansion of 1/4 in K 6.034 * [backup-simplify]: Simplify 1/4 into 1/4 6.034 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.034 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.034 * [taylor]: Taking taylor expansion of J in K 6.034 * [backup-simplify]: Simplify J into J 6.034 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.034 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.034 * [taylor]: Taking taylor expansion of U in K 6.034 * [backup-simplify]: Simplify U into U 6.034 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.034 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.034 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.034 * [taylor]: Taking taylor expansion of 1/2 in K 6.034 * [backup-simplify]: Simplify 1/2 into 1/2 6.035 * [taylor]: Taking taylor expansion of K in K 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.035 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.035 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.035 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.035 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.036 * [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))) 6.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.036 * [taylor]: Taking taylor expansion of 1/4 in U 6.036 * [backup-simplify]: Simplify 1/4 into 1/4 6.036 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.036 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.036 * [taylor]: Taking taylor expansion of J in U 6.036 * [backup-simplify]: Simplify J into J 6.036 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.036 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.036 * [taylor]: Taking taylor expansion of U in U 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.036 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.036 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.036 * [taylor]: Taking taylor expansion of 1/2 in U 6.036 * [backup-simplify]: Simplify 1/2 into 1/2 6.036 * [taylor]: Taking taylor expansion of K in U 6.036 * [backup-simplify]: Simplify K into K 6.036 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.036 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.036 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.036 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.037 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.037 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.037 * [backup-simplify]: Simplify (* 1 1) into 1 6.038 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.038 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.038 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.038 * [taylor]: Taking taylor expansion of 1/4 in U 6.038 * [backup-simplify]: Simplify 1/4 into 1/4 6.038 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.038 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.038 * [taylor]: Taking taylor expansion of J in U 6.038 * [backup-simplify]: Simplify J into J 6.038 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.038 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.038 * [taylor]: Taking taylor expansion of U in U 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.038 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.038 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.038 * [taylor]: Taking taylor expansion of 1/2 in U 6.038 * [backup-simplify]: Simplify 1/2 into 1/2 6.038 * [taylor]: Taking taylor expansion of K in U 6.038 * [backup-simplify]: Simplify K into K 6.038 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.038 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.039 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.039 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.039 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.039 * [backup-simplify]: Simplify (- 0) into 0 6.039 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.039 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.040 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.040 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.040 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.040 * [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))) 6.040 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 6.040 * [taylor]: Taking taylor expansion of 1/4 in K 6.040 * [backup-simplify]: Simplify 1/4 into 1/4 6.040 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 6.040 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.040 * [taylor]: Taking taylor expansion of J in K 6.040 * [backup-simplify]: Simplify J into J 6.040 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.040 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.041 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.041 * [taylor]: Taking taylor expansion of 1/2 in K 6.041 * [backup-simplify]: Simplify 1/2 into 1/2 6.041 * [taylor]: Taking taylor expansion of K in K 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 1 into 1 6.041 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.041 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.041 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.041 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.041 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.042 * [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))) 6.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.042 * [taylor]: Taking taylor expansion of 1/4 in J 6.042 * [backup-simplify]: Simplify 1/4 into 1/4 6.042 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.042 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.042 * [taylor]: Taking taylor expansion of J in J 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.042 * [taylor]: Taking taylor expansion of 1/2 in J 6.042 * [backup-simplify]: Simplify 1/2 into 1/2 6.042 * [taylor]: Taking taylor expansion of K in J 6.042 * [backup-simplify]: Simplify K into K 6.042 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.042 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.042 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.042 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.043 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.043 * [backup-simplify]: Simplify (- 0) into 0 6.043 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.043 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.044 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.044 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.044 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.044 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.044 * [backup-simplify]: Simplify (+ 0) into 0 6.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.045 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K)))) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.049 * [backup-simplify]: 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 6.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.050 * [taylor]: Taking taylor expansion of 0 in K 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [taylor]: Taking taylor expansion of 0 in J 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.050 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.051 * [backup-simplify]: 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 6.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.051 * [taylor]: Taking taylor expansion of 0 in J 6.051 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.053 * [backup-simplify]: Simplify (+ 0) into 0 6.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.054 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.055 * [backup-simplify]: Simplify (- 0) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.056 * [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 6.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.061 * [backup-simplify]: Simplify (- 0) into 0 6.061 * [backup-simplify]: Simplify (+ 0 0) into 0 6.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.064 * [backup-simplify]: 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 6.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.065 * [taylor]: Taking taylor expansion of 0 in K 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [taylor]: Taking taylor expansion of 0 in J 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [taylor]: Taking taylor expansion of 0 in J 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.067 * [backup-simplify]: 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 6.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.068 * [taylor]: Taking taylor expansion of 0 in J 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.069 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.069 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 6.069 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.069 * [taylor]: Taking taylor expansion of 1/4 in J 6.069 * [backup-simplify]: Simplify 1/4 into 1/4 6.069 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.069 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.069 * [taylor]: Taking taylor expansion of J in J 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.069 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.070 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.070 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.070 * [taylor]: Taking taylor expansion of -1/2 in J 6.070 * [backup-simplify]: Simplify -1/2 into -1/2 6.070 * [taylor]: Taking taylor expansion of K in J 6.070 * [backup-simplify]: Simplify K into K 6.070 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.070 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.070 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.070 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.070 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.070 * [backup-simplify]: Simplify (- 0) into 0 6.071 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.071 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.071 * [taylor]: Taking taylor expansion of U in J 6.071 * [backup-simplify]: Simplify U into U 6.071 * [backup-simplify]: Simplify (* 1 1) into 1 6.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.071 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.071 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.072 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.072 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.072 * [taylor]: Taking taylor expansion of 1/4 in K 6.072 * [backup-simplify]: Simplify 1/4 into 1/4 6.072 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.072 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.072 * [taylor]: Taking taylor expansion of J in K 6.072 * [backup-simplify]: Simplify J into J 6.072 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.072 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.072 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.072 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.072 * [taylor]: Taking taylor expansion of -1/2 in K 6.072 * [backup-simplify]: Simplify -1/2 into -1/2 6.072 * [taylor]: Taking taylor expansion of K in K 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.072 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.073 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.073 * [taylor]: Taking taylor expansion of U in K 6.073 * [backup-simplify]: Simplify U into U 6.073 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.073 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.073 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.073 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.073 * [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))) 6.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.073 * [taylor]: Taking taylor expansion of 1/4 in U 6.073 * [backup-simplify]: Simplify 1/4 into 1/4 6.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.073 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.073 * [taylor]: Taking taylor expansion of J in U 6.073 * [backup-simplify]: Simplify J into J 6.073 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.074 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.074 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.074 * [taylor]: Taking taylor expansion of -1/2 in U 6.074 * [backup-simplify]: Simplify -1/2 into -1/2 6.074 * [taylor]: Taking taylor expansion of K in U 6.074 * [backup-simplify]: Simplify K into K 6.074 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.074 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.074 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.074 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.074 * [backup-simplify]: Simplify (- 0) into 0 6.075 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.075 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.075 * [taylor]: Taking taylor expansion of U in U 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.075 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.075 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.075 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.076 * [taylor]: Taking taylor expansion of 1/4 in U 6.076 * [backup-simplify]: Simplify 1/4 into 1/4 6.076 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.076 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.076 * [taylor]: Taking taylor expansion of J in U 6.076 * [backup-simplify]: Simplify J into J 6.076 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.076 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.076 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.076 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.076 * [taylor]: Taking taylor expansion of -1/2 in U 6.076 * [backup-simplify]: Simplify -1/2 into -1/2 6.076 * [taylor]: Taking taylor expansion of K in U 6.076 * [backup-simplify]: Simplify K into K 6.076 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.076 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.076 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.076 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.076 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.077 * [backup-simplify]: Simplify (- 0) into 0 6.077 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.077 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.077 * [taylor]: Taking taylor expansion of U in U 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.077 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.078 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.078 * [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))) 6.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 6.078 * [taylor]: Taking taylor expansion of 1/4 in K 6.078 * [backup-simplify]: Simplify 1/4 into 1/4 6.078 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 6.078 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.078 * [taylor]: Taking taylor expansion of J in K 6.078 * [backup-simplify]: Simplify J into J 6.078 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.078 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.078 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.078 * [taylor]: Taking taylor expansion of -1/2 in K 6.078 * [backup-simplify]: Simplify -1/2 into -1/2 6.078 * [taylor]: Taking taylor expansion of K in K 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.079 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.079 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.079 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.079 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.079 * [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))) 6.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.080 * [taylor]: Taking taylor expansion of 1/4 in J 6.080 * [backup-simplify]: Simplify 1/4 into 1/4 6.080 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.080 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.080 * [taylor]: Taking taylor expansion of J in J 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.080 * [taylor]: Taking taylor expansion of -1/2 in J 6.080 * [backup-simplify]: Simplify -1/2 into -1/2 6.080 * [taylor]: Taking taylor expansion of K in J 6.080 * [backup-simplify]: Simplify K into K 6.080 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.080 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.080 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.080 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.080 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.085 * [backup-simplify]: Simplify (- 0) into 0 6.085 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.086 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.086 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.086 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.086 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 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 6.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.090 * [backup-simplify]: Simplify (- 0) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.091 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.092 * [backup-simplify]: 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 6.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.092 * [taylor]: Taking taylor expansion of 0 in K 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [taylor]: Taking taylor expansion of 0 in J 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.093 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.093 * [backup-simplify]: 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 6.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.094 * [taylor]: Taking taylor expansion of 0 in J 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.095 * [backup-simplify]: Simplify (+ 0) into 0 6.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.096 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.098 * [backup-simplify]: Simplify (- 0) into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.099 * [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 6.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.105 * [backup-simplify]: Simplify (- 0) into 0 6.105 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.106 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.107 * [backup-simplify]: 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 6.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.107 * [taylor]: Taking taylor expansion of 0 in K 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [taylor]: Taking taylor expansion of 0 in J 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [taylor]: Taking taylor expansion of 0 in J 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.108 * [backup-simplify]: 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 6.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.109 * [taylor]: Taking taylor expansion of 0 in J 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.109 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2 2) 6.109 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* 2 J)) into (* 2 (* (cos (* 1/2 K)) J)) 6.109 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0 6.110 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 6.110 * [taylor]: Taking taylor expansion of 2 in J 6.110 * [backup-simplify]: Simplify 2 into 2 6.110 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.110 * [taylor]: Taking taylor expansion of 1/2 in J 6.110 * [backup-simplify]: Simplify 1/2 into 1/2 6.110 * [taylor]: Taking taylor expansion of K in J 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)) 6.110 * [taylor]: Taking taylor expansion of J in J 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 1 into 1 6.110 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.110 * [taylor]: Taking taylor expansion of 2 in K 6.110 * [backup-simplify]: Simplify 2 into 2 6.110 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.110 * [taylor]: Taking taylor expansion of 1/2 in K 6.110 * [backup-simplify]: Simplify 1/2 into 1/2 6.110 * [taylor]: Taking taylor expansion of K in K 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 1 into 1 6.110 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.111 * [taylor]: Taking taylor expansion of J in K 6.112 * [backup-simplify]: Simplify J into J 6.112 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.112 * [taylor]: Taking taylor expansion of 2 in K 6.112 * [backup-simplify]: Simplify 2 into 2 6.112 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.112 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.112 * [taylor]: Taking taylor expansion of 1/2 in K 6.112 * [backup-simplify]: Simplify 1/2 into 1/2 6.112 * [taylor]: Taking taylor expansion of K in K 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.113 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.113 * [taylor]: Taking taylor expansion of J in K 6.113 * [backup-simplify]: Simplify J into J 6.113 * [backup-simplify]: Simplify (* 1 J) into J 6.113 * [backup-simplify]: Simplify (* 2 J) into (* 2 J) 6.113 * [taylor]: Taking taylor expansion of (* 2 J) in J 6.113 * [taylor]: Taking taylor expansion of 2 in J 6.113 * [backup-simplify]: Simplify 2 into 2 6.113 * [taylor]: Taking taylor expansion of J in J 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (* 2 0) into 0 6.113 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify (+ 0) into 0 6.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.114 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0 6.114 * [taylor]: Taking taylor expansion of 0 in J 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.115 * [backup-simplify]: Simplify 2 into 2 6.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 6.116 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J)) 6.116 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J 6.116 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 6.116 * [taylor]: Taking taylor expansion of 1/4 in J 6.117 * [backup-simplify]: Simplify 1/4 into 1/4 6.117 * [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 (* 1/4 0) into 0 6.117 * [backup-simplify]: Simplify (- 0) into 0 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.119 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 6.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 6.120 * [taylor]: Taking taylor expansion of 0 in J 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 6.121 * [backup-simplify]: Simplify (- 1/4) into -1/4 6.121 * [backup-simplify]: Simplify -1/4 into -1/4 6.121 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 6.126 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J) 6.126 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 6.126 * [taylor]: Taking taylor expansion of 1/192 in J 6.126 * [backup-simplify]: Simplify 1/192 into 1/192 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 (* 1/192 0) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 6.127 * [backup-simplify]: Simplify (- 0) into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J))) 6.128 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.128 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 6.128 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.128 * [taylor]: Taking taylor expansion of 2 in J 6.128 * [backup-simplify]: Simplify 2 into 2 6.128 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.128 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.128 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.128 * [taylor]: Taking taylor expansion of 1/2 in J 6.128 * [backup-simplify]: Simplify 1/2 into 1/2 6.128 * [taylor]: Taking taylor expansion of K in J 6.128 * [backup-simplify]: Simplify K into K 6.128 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.128 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.128 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.128 * [taylor]: Taking taylor expansion of J in J 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.128 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.128 * [backup-simplify]: Simplify (- 0) into 0 6.128 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.128 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.128 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.128 * [taylor]: Taking taylor expansion of 2 in K 6.128 * [backup-simplify]: Simplify 2 into 2 6.129 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.129 * [taylor]: Taking taylor expansion of 1/2 in K 6.129 * [backup-simplify]: Simplify 1/2 into 1/2 6.129 * [taylor]: Taking taylor expansion of K in K 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.129 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.129 * [taylor]: Taking taylor expansion of J in K 6.129 * [backup-simplify]: Simplify J into J 6.129 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.129 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.129 * [taylor]: Taking taylor expansion of 2 in K 6.129 * [backup-simplify]: Simplify 2 into 2 6.129 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.129 * [taylor]: Taking taylor expansion of 1/2 in K 6.129 * [backup-simplify]: Simplify 1/2 into 1/2 6.129 * [taylor]: Taking taylor expansion of K in K 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.130 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.130 * [taylor]: Taking taylor expansion of J in K 6.130 * [backup-simplify]: Simplify J into J 6.130 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.130 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.130 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.130 * [taylor]: Taking taylor expansion of 2 in J 6.130 * [backup-simplify]: Simplify 2 into 2 6.130 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.130 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.130 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.130 * [taylor]: Taking taylor expansion of 1/2 in J 6.130 * [backup-simplify]: Simplify 1/2 into 1/2 6.130 * [taylor]: Taking taylor expansion of K in J 6.130 * [backup-simplify]: Simplify K into K 6.130 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.130 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.130 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.130 * [taylor]: Taking taylor expansion of J in J 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.130 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.130 * [backup-simplify]: Simplify (- 0) into 0 6.131 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.131 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.131 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.131 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.131 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 6.131 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 6.131 * [taylor]: Taking taylor expansion of 0 in J 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify (+ 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.133 * [backup-simplify]: Simplify (- 0) into 0 6.133 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 6.136 * [taylor]: Taking taylor expansion of 0 in J 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.139 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.139 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.140 * [backup-simplify]: Simplify (- 0) into 0 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 6.144 * [taylor]: Taking taylor expansion of 0 in J 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.147 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.149 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 6.154 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.154 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 6.154 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.154 * [taylor]: Taking taylor expansion of -2 in J 6.154 * [backup-simplify]: Simplify -2 into -2 6.154 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.154 * [taylor]: Taking taylor expansion of -1/2 in J 6.154 * [backup-simplify]: Simplify -1/2 into -1/2 6.154 * [taylor]: Taking taylor expansion of K in J 6.154 * [backup-simplify]: Simplify K into K 6.154 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.154 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.154 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.154 * [taylor]: Taking taylor expansion of J in J 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.154 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.155 * [backup-simplify]: Simplify (- 0) into 0 6.155 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.155 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.155 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.155 * [taylor]: Taking taylor expansion of -2 in K 6.155 * [backup-simplify]: Simplify -2 into -2 6.155 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.155 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.155 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.155 * [taylor]: Taking taylor expansion of -1/2 in K 6.155 * [backup-simplify]: Simplify -1/2 into -1/2 6.155 * [taylor]: Taking taylor expansion of K in K 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.156 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.156 * [taylor]: Taking taylor expansion of J in K 6.156 * [backup-simplify]: Simplify J into J 6.156 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.156 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.156 * [taylor]: Taking taylor expansion of -2 in K 6.156 * [backup-simplify]: Simplify -2 into -2 6.156 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.157 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.157 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.157 * [taylor]: Taking taylor expansion of -1/2 in K 6.157 * [backup-simplify]: Simplify -1/2 into -1/2 6.157 * [taylor]: Taking taylor expansion of K in K 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.157 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.157 * [taylor]: Taking taylor expansion of J in K 6.157 * [backup-simplify]: Simplify J into J 6.157 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.158 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.158 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.158 * [taylor]: Taking taylor expansion of -2 in J 6.158 * [backup-simplify]: Simplify -2 into -2 6.158 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.158 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.158 * [taylor]: Taking taylor expansion of -1/2 in J 6.158 * [backup-simplify]: Simplify -1/2 into -1/2 6.158 * [taylor]: Taking taylor expansion of K in J 6.158 * [backup-simplify]: Simplify K into K 6.158 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.158 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.158 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.158 * [taylor]: Taking taylor expansion of J in J 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.158 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.159 * [backup-simplify]: Simplify (- 0) into 0 6.159 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.159 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.159 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.159 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.159 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 6.160 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 6.160 * [taylor]: Taking taylor expansion of 0 in J 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (+ 0) into 0 6.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.166 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 6.166 * [taylor]: Taking taylor expansion of 0 in J 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.168 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.170 * [backup-simplify]: Simplify (- 0) into 0 6.170 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.173 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.174 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 6.174 * [taylor]: Taking taylor expansion of 0 in J 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.179 * [backup-simplify]: Simplify (- 0) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 6.183 * * * [progress]: simplifying candidates 6.183 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 6.184 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 6.185 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 6.185 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 6.186 * * * * [progress]: [ 39 / 142 ] simplifiying candidate #real (real->posit16 (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 6.186 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 6.187 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 6.188 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 6.189 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 6.190 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 6.191 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 6.191 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 6.191 * * * * [progress]: [ 91 / 142 ] simplifiying 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[progress]: [ 107 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> 6.192 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 6.192 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 6.193 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 6.193 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 6.193 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 6.193 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 6.193 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 6.193 * 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2 J)) (* (sqrt (cos (/ K 2))) (* 2 J)) (* (cos (/ K 2)) (* 2 J)) (real->posit16 (* (cos (/ K 2)) (* 2 J))) 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))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (- (* 2 J) (* 1/4 (* (pow K 2) J))) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) 6.201 * * [simplify]: iteration 0: 237 enodes 6.305 * * [simplify]: iteration 1: 696 enodes 6.554 * * [simplify]: iteration 2: 2003 enodes 7.039 * * [simplify]: iteration complete: 2003 enodes 7.039 * * [simplify]: Extracting #0: cost 93 inf + 0 7.041 * * [simplify]: Extracting #1: cost 597 inf + 4 7.046 * * [simplify]: Extracting #2: cost 818 inf + 3404 7.051 * * [simplify]: Extracting #3: cost 762 inf + 12643 7.056 * * [simplify]: Extracting #4: cost 704 inf + 19935 7.064 * * [simplify]: Extracting #5: cost 554 inf + 55030 7.090 * * [simplify]: Extracting #6: cost 259 inf + 164557 7.135 * * [simplify]: Extracting #7: cost 67 inf + 245787 7.209 * * [simplify]: Extracting #8: cost 2 inf + 278562 7.272 * * [simplify]: Extracting #9: cost 0 inf + 279168 7.344 * [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 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J) (* U U))) 1/16) (* 1/4 (/ (* U U) (* J J)))) (* (/ (* (* K K) (* K K)) (/ (* J J) (* U U))) 1/96)) (/ (* 1/4 (* U U)) (* (* J J) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (/ (* 1/4 (* U U)) (* (* J J) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (* J (- 2 (* 1/4 (* K K)))) (* (* 2 J) (cos (* 1/2 K))) (* (* 2 J) (cos (* 1/2 K))) 7.361 * * * [progress]: adding candidates to table 8.187 * * [progress]: iteration 3 / 4 8.187 * * * [progress]: picking best candidate 8.279 * * * * [pick]: Picked # 8.279 * * * [progress]: localizing error 8.360 * * * [progress]: generating rewritten candidates 8.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.496 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.674 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 8.976 * * * [progress]: generating series expansions 8.976 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.976 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 8.976 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 8.976 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.976 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.976 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.976 * [taylor]: Taking taylor expansion of 1/4 in J 8.976 * [backup-simplify]: Simplify 1/4 into 1/4 8.976 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.976 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.976 * [taylor]: Taking taylor expansion of U in J 8.976 * [backup-simplify]: Simplify U into U 8.976 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.976 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.976 * [taylor]: Taking taylor expansion of 1/2 in J 8.976 * [backup-simplify]: Simplify 1/2 into 1/2 8.976 * [taylor]: Taking taylor expansion of K in J 8.976 * [backup-simplify]: Simplify K into K 8.976 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.976 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.976 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.977 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.977 * [backup-simplify]: Simplify (- 0) into 0 8.977 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.977 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.977 * [taylor]: Taking taylor expansion of J in J 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.977 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.978 * [backup-simplify]: Simplify (* 1 1) into 1 8.978 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.978 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.978 * [taylor]: Taking taylor expansion of 1 in J 8.978 * [backup-simplify]: Simplify 1 into 1 8.978 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.978 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.978 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.978 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.979 * [backup-simplify]: Simplify (+ 0) into 0 8.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.981 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.981 * [backup-simplify]: Simplify (- 0) into 0 8.981 * [backup-simplify]: Simplify (+ 0 0) into 0 8.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.982 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.982 * [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 8.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 8.983 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.983 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.983 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.983 * [taylor]: Taking taylor expansion of 1/4 in K 8.983 * [backup-simplify]: Simplify 1/4 into 1/4 8.983 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.983 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.983 * [taylor]: Taking taylor expansion of U in K 8.983 * [backup-simplify]: Simplify U into U 8.983 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.983 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.983 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.983 * [taylor]: Taking taylor expansion of 1/2 in K 8.983 * [backup-simplify]: Simplify 1/2 into 1/2 8.983 * [taylor]: Taking taylor expansion of K in K 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.984 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.984 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.984 * [taylor]: Taking taylor expansion of J in K 8.984 * [backup-simplify]: Simplify J into J 8.984 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.984 * [backup-simplify]: Simplify (* 1 1) into 1 8.984 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.984 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.984 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.984 * [taylor]: Taking taylor expansion of 1 in K 8.984 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.985 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.985 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.985 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.985 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.985 * [backup-simplify]: Simplify (+ 0) into 0 8.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.986 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.986 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 8.987 * [backup-simplify]: Simplify (+ 0 0) into 0 8.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.987 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.987 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.987 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.987 * [taylor]: Taking taylor expansion of 1/4 in U 8.987 * [backup-simplify]: Simplify 1/4 into 1/4 8.987 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.987 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.987 * [taylor]: Taking taylor expansion of U in U 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.987 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.987 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.987 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.987 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.987 * [taylor]: Taking taylor expansion of 1/2 in U 8.987 * [backup-simplify]: Simplify 1/2 into 1/2 8.987 * [taylor]: Taking taylor expansion of K in U 8.987 * [backup-simplify]: Simplify K into K 8.987 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.987 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.987 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.987 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.987 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.988 * [backup-simplify]: Simplify (- 0) into 0 8.988 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.988 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.988 * [taylor]: Taking taylor expansion of J in U 8.988 * [backup-simplify]: Simplify J into J 8.988 * [backup-simplify]: Simplify (* 1 1) into 1 8.988 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.988 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.988 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.988 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.988 * [taylor]: Taking taylor expansion of 1 in U 8.989 * [backup-simplify]: Simplify 1 into 1 8.991 * [backup-simplify]: Simplify (+ 0 1) into 1 8.991 * [backup-simplify]: Simplify (sqrt 1) into 1 8.991 * [backup-simplify]: Simplify (+ 0 0) into 0 8.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.992 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.992 * [taylor]: Taking taylor expansion of 1/4 in U 8.992 * [backup-simplify]: Simplify 1/4 into 1/4 8.992 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.992 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.992 * [taylor]: Taking taylor expansion of U in U 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 1 into 1 8.992 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.992 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.992 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.992 * [taylor]: Taking taylor expansion of 1/2 in U 8.992 * [backup-simplify]: Simplify 1/2 into 1/2 8.992 * [taylor]: Taking taylor expansion of K in U 8.992 * [backup-simplify]: Simplify K into K 8.992 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.992 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.992 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.992 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.992 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.993 * [backup-simplify]: Simplify (- 0) into 0 8.993 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.993 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.993 * [taylor]: Taking taylor expansion of J in U 8.993 * [backup-simplify]: Simplify J into J 8.993 * [backup-simplify]: Simplify (* 1 1) into 1 8.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.993 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.993 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.994 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.994 * [taylor]: Taking taylor expansion of 1 in U 8.994 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (+ 0 1) into 1 8.994 * [backup-simplify]: Simplify (sqrt 1) into 1 8.994 * [backup-simplify]: Simplify (+ 0 0) into 0 8.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.995 * [taylor]: Taking taylor expansion of 1 in K 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [taylor]: Taking taylor expansion of 1 in J 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [taylor]: Taking taylor expansion of 0 in K 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [taylor]: Taking taylor expansion of 0 in J 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [taylor]: Taking taylor expansion of 0 in J 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.996 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.996 * [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))) 8.997 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.997 * [taylor]: Taking taylor expansion of 1/8 in K 8.997 * [backup-simplify]: Simplify 1/8 into 1/8 8.997 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.997 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.997 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.997 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.997 * [taylor]: Taking taylor expansion of 1/2 in K 8.997 * [backup-simplify]: Simplify 1/2 into 1/2 8.997 * [taylor]: Taking taylor expansion of K in K 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.999 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.999 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.999 * [taylor]: Taking taylor expansion of J in K 8.999 * [backup-simplify]: Simplify J into J 9.000 * [backup-simplify]: Simplify (* 1 1) into 1 9.000 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.000 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.000 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 9.000 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 9.000 * [taylor]: Taking taylor expansion of 1/8 in J 9.000 * [backup-simplify]: Simplify 1/8 into 1/8 9.000 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.000 * [taylor]: Taking taylor expansion of J in J 9.000 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (* 1 1) into 1 9.001 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [taylor]: Taking taylor expansion of 0 in J 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [taylor]: Taking taylor expansion of 0 in J 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.002 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.002 * [backup-simplify]: Simplify (+ 0) into 0 9.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.004 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.004 * [backup-simplify]: Simplify (- 0) into 0 9.004 * [backup-simplify]: Simplify (+ 0 0) into 0 9.005 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.005 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 9.005 * [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 9.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 9.006 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.006 * [taylor]: Taking taylor expansion of 0 in K 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [taylor]: Taking taylor expansion of 0 in J 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.006 * [backup-simplify]: Simplify (+ 0) into 0 9.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.007 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 9.007 * [taylor]: Taking taylor expansion of 0 in J 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [taylor]: Taking taylor expansion of 0 in J 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [taylor]: Taking taylor expansion of 0 in J 9.007 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.009 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 9.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.009 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.009 * [taylor]: Taking taylor expansion of 1/4 in J 9.009 * [backup-simplify]: Simplify 1/4 into 1/4 9.009 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.009 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.009 * [taylor]: Taking taylor expansion of J in J 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.009 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.009 * [taylor]: Taking taylor expansion of U in J 9.009 * [backup-simplify]: Simplify U into U 9.009 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.009 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.009 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.009 * [taylor]: Taking taylor expansion of 1/2 in J 9.009 * [backup-simplify]: Simplify 1/2 into 1/2 9.009 * [taylor]: Taking taylor expansion of K in J 9.009 * [backup-simplify]: Simplify K into K 9.009 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.009 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.010 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.010 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.010 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.010 * [backup-simplify]: Simplify (- 0) into 0 9.010 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.010 * [backup-simplify]: Simplify (* 1 1) into 1 9.010 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.010 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.010 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.011 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.011 * [taylor]: Taking taylor expansion of 1 in J 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (+ 0 1) into 1 9.011 * [backup-simplify]: Simplify (sqrt 1) into 1 9.011 * [backup-simplify]: Simplify (+ 0 0) into 0 9.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.012 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.012 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.012 * [taylor]: Taking taylor expansion of 1/4 in K 9.012 * [backup-simplify]: Simplify 1/4 into 1/4 9.012 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.012 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.012 * [taylor]: Taking taylor expansion of J in K 9.012 * [backup-simplify]: Simplify J into J 9.012 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.012 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.012 * [taylor]: Taking taylor expansion of U in K 9.012 * [backup-simplify]: Simplify U into U 9.012 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.012 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.012 * [taylor]: Taking taylor expansion of 1/2 in K 9.012 * [backup-simplify]: Simplify 1/2 into 1/2 9.012 * [taylor]: Taking taylor expansion of K in K 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.013 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.013 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.013 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.013 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.013 * [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))) 9.013 * [taylor]: Taking taylor expansion of 1 in K 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [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)))) 9.013 * [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) 9.014 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.014 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.014 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.014 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.014 * [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 9.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.015 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.015 * [taylor]: Taking taylor expansion of 1/4 in U 9.015 * [backup-simplify]: Simplify 1/4 into 1/4 9.015 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.015 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.015 * [taylor]: Taking taylor expansion of J in U 9.015 * [backup-simplify]: Simplify J into J 9.015 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.015 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.015 * [taylor]: Taking taylor expansion of U in U 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify 1 into 1 9.015 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.015 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.015 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.016 * [taylor]: Taking taylor expansion of 1/2 in U 9.016 * [backup-simplify]: Simplify 1/2 into 1/2 9.016 * [taylor]: Taking taylor expansion of K in U 9.016 * [backup-simplify]: Simplify K into K 9.016 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.016 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.016 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.016 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.016 * [backup-simplify]: Simplify (- 0) into 0 9.016 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.016 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.016 * [backup-simplify]: Simplify (* 1 1) into 1 9.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.017 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.017 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.017 * [taylor]: Taking taylor expansion of 1 in U 9.017 * [backup-simplify]: Simplify 1 into 1 9.017 * [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))) 9.017 * [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))) 9.017 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.017 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.017 * [backup-simplify]: Simplify (+ 0) into 0 9.018 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.019 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.019 * [backup-simplify]: Simplify (- 0) into 0 9.019 * [backup-simplify]: Simplify (+ 0 0) into 0 9.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.020 * [backup-simplify]: 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 9.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.021 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.021 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.021 * [taylor]: Taking taylor expansion of 1/4 in U 9.021 * [backup-simplify]: Simplify 1/4 into 1/4 9.021 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.021 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.021 * [taylor]: Taking taylor expansion of J in U 9.021 * [backup-simplify]: Simplify J into J 9.021 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.021 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.021 * [taylor]: Taking taylor expansion of U in U 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.021 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.021 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.021 * [taylor]: Taking taylor expansion of 1/2 in U 9.021 * [backup-simplify]: Simplify 1/2 into 1/2 9.021 * [taylor]: Taking taylor expansion of K in U 9.021 * [backup-simplify]: Simplify K into K 9.021 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.022 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.022 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.022 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.022 * [backup-simplify]: Simplify (- 0) into 0 9.022 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.022 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.022 * [backup-simplify]: Simplify (* 1 1) into 1 9.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.023 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.023 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.023 * [taylor]: Taking taylor expansion of 1 in U 9.023 * [backup-simplify]: Simplify 1 into 1 9.023 * [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))) 9.023 * [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))) 9.023 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.023 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.024 * [backup-simplify]: Simplify (+ 0) into 0 9.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.026 * [backup-simplify]: Simplify (- 0) into 0 9.026 * [backup-simplify]: Simplify (+ 0 0) into 0 9.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.028 * [backup-simplify]: 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 9.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.029 * [backup-simplify]: Simplify (+ 0 0) into 0 9.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 9.029 * [taylor]: Taking taylor expansion of 1/2 in K 9.029 * [backup-simplify]: Simplify 1/2 into 1/2 9.030 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 9.030 * [taylor]: Taking taylor expansion of J in K 9.030 * [backup-simplify]: Simplify J into J 9.030 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.030 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.030 * [taylor]: Taking taylor expansion of 1/2 in K 9.030 * [backup-simplify]: Simplify 1/2 into 1/2 9.030 * [taylor]: Taking taylor expansion of K in K 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 1 into 1 9.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.030 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.030 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.031 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 9.031 * [taylor]: Taking taylor expansion of 1/2 in J 9.031 * [backup-simplify]: Simplify 1/2 into 1/2 9.031 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.031 * [taylor]: Taking taylor expansion of J in J 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.031 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.031 * [taylor]: Taking taylor expansion of 1/2 in J 9.031 * [backup-simplify]: Simplify 1/2 into 1/2 9.031 * [taylor]: Taking taylor expansion of K in J 9.031 * [backup-simplify]: Simplify K into K 9.031 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.031 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.031 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.031 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.031 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.032 * [backup-simplify]: Simplify (- 0) into 0 9.032 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.032 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.032 * [taylor]: Taking taylor expansion of 0 in K 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [taylor]: Taking taylor expansion of 0 in J 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.033 * [taylor]: Taking taylor expansion of 0 in J 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 9.033 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.034 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.038 * [backup-simplify]: Simplify (- 0) into 0 9.038 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.042 * [backup-simplify]: 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 9.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.043 * [backup-simplify]: Simplify (+ 0 1) into 1 9.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.044 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 9.044 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.044 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.044 * [taylor]: Taking taylor expansion of 1/2 in K 9.044 * [backup-simplify]: Simplify 1/2 into 1/2 9.044 * [taylor]: Taking taylor expansion of K in K 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.045 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.045 * [taylor]: Taking taylor expansion of J in K 9.045 * [backup-simplify]: Simplify J into J 9.045 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 9.045 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.045 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.045 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.045 * [taylor]: Taking taylor expansion of 1/2 in J 9.045 * [backup-simplify]: Simplify 1/2 into 1/2 9.045 * [taylor]: Taking taylor expansion of K in J 9.045 * [backup-simplify]: Simplify K into K 9.045 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.045 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.045 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.045 * [taylor]: Taking taylor expansion of J in J 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify 1 into 1 9.046 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.046 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.046 * [backup-simplify]: Simplify (- 0) into 0 9.046 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.046 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.047 * [backup-simplify]: Simplify (+ 0) into 0 9.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.047 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.049 * [backup-simplify]: Simplify (- 0) into 0 9.049 * [backup-simplify]: Simplify (+ 0 0) into 0 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [taylor]: Taking taylor expansion of 0 in J 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 9.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 9.053 * [taylor]: Taking taylor expansion of 0 in J 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify (+ 0) into 0 9.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.054 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.056 * [backup-simplify]: Simplify (- 0) into 0 9.056 * [backup-simplify]: Simplify (+ 0 0) into 0 9.057 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 9.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 9.058 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 9.058 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.058 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.058 * [taylor]: Taking taylor expansion of 1 in J 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.058 * [taylor]: Taking taylor expansion of 1/4 in J 9.058 * [backup-simplify]: Simplify 1/4 into 1/4 9.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.058 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.058 * [taylor]: Taking taylor expansion of J in J 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.059 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.059 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.059 * [taylor]: Taking taylor expansion of -1/2 in J 9.059 * [backup-simplify]: Simplify -1/2 into -1/2 9.059 * [taylor]: Taking taylor expansion of K in J 9.059 * [backup-simplify]: Simplify K into K 9.059 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.059 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.059 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.060 * [backup-simplify]: Simplify (- 0) into 0 9.060 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.060 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.060 * [taylor]: Taking taylor expansion of U in J 9.060 * [backup-simplify]: Simplify U into U 9.060 * [backup-simplify]: Simplify (* 1 1) into 1 9.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.060 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.060 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.061 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.061 * [backup-simplify]: Simplify (+ 1 0) into 1 9.062 * [backup-simplify]: Simplify (sqrt 1) into 1 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.063 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.063 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.063 * [taylor]: Taking taylor expansion of 1 in K 9.063 * [backup-simplify]: Simplify 1 into 1 9.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.063 * [taylor]: Taking taylor expansion of 1/4 in K 9.063 * [backup-simplify]: Simplify 1/4 into 1/4 9.063 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.063 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.063 * [taylor]: Taking taylor expansion of J in K 9.063 * [backup-simplify]: Simplify J into J 9.063 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.063 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.063 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.063 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.063 * [taylor]: Taking taylor expansion of -1/2 in K 9.063 * [backup-simplify]: Simplify -1/2 into -1/2 9.063 * [taylor]: Taking taylor expansion of K in K 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.064 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.064 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.064 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.064 * [taylor]: Taking taylor expansion of U in K 9.064 * [backup-simplify]: Simplify U into U 9.064 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.064 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.064 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.064 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.064 * [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))) 9.065 * [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)))) 9.065 * [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))))) 9.066 * [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)))))) 9.066 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.066 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.066 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 9.067 * [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 9.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 9.068 * [backup-simplify]: Simplify (+ 0 0) into 0 9.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.068 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.068 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.068 * [taylor]: Taking taylor expansion of 1 in U 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.068 * [taylor]: Taking taylor expansion of 1/4 in U 9.069 * [backup-simplify]: Simplify 1/4 into 1/4 9.069 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.069 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.069 * [taylor]: Taking taylor expansion of J in U 9.069 * [backup-simplify]: Simplify J into J 9.069 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.069 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.069 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.069 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.069 * [taylor]: Taking taylor expansion of -1/2 in U 9.069 * [backup-simplify]: Simplify -1/2 into -1/2 9.069 * [taylor]: Taking taylor expansion of K in U 9.069 * [backup-simplify]: Simplify K into K 9.069 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.069 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.069 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.069 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.069 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.070 * [backup-simplify]: Simplify (- 0) into 0 9.070 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.070 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.070 * [taylor]: Taking taylor expansion of U in U 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.070 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.071 * [backup-simplify]: Simplify (* 1 1) into 1 9.071 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.071 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.071 * [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))) 9.072 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.072 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.072 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.073 * [backup-simplify]: Simplify (+ 0) into 0 9.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.076 * [backup-simplify]: Simplify (- 0) into 0 9.077 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.077 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.078 * [backup-simplify]: 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 9.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.079 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.079 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.079 * [taylor]: Taking taylor expansion of 1 in U 9.079 * [backup-simplify]: Simplify 1 into 1 9.079 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.079 * [taylor]: Taking taylor expansion of 1/4 in U 9.079 * [backup-simplify]: Simplify 1/4 into 1/4 9.079 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.079 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.080 * [taylor]: Taking taylor expansion of J in U 9.080 * [backup-simplify]: Simplify J into J 9.080 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.080 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.080 * [taylor]: Taking taylor expansion of -1/2 in U 9.080 * [backup-simplify]: Simplify -1/2 into -1/2 9.080 * [taylor]: Taking taylor expansion of K in U 9.080 * [backup-simplify]: Simplify K into K 9.080 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.080 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.080 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.080 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.080 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.081 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.081 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.081 * [taylor]: Taking taylor expansion of U in U 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.081 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.081 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.081 * [backup-simplify]: Simplify (* 1 1) into 1 9.082 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.082 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.082 * [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))) 9.082 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.083 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.083 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.084 * [backup-simplify]: Simplify (+ 0) into 0 9.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.086 * [backup-simplify]: Simplify (- 0) into 0 9.087 * [backup-simplify]: Simplify (+ 0 0) into 0 9.087 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.087 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.088 * [backup-simplify]: 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 9.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 9.089 * [taylor]: Taking taylor expansion of 1/2 in K 9.089 * [backup-simplify]: Simplify 1/2 into 1/2 9.089 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 9.089 * [taylor]: Taking taylor expansion of J in K 9.089 * [backup-simplify]: Simplify J into J 9.089 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.090 * [taylor]: Taking taylor expansion of -1/2 in K 9.090 * [backup-simplify]: Simplify -1/2 into -1/2 9.090 * [taylor]: Taking taylor expansion of K in K 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 1 into 1 9.090 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.090 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.090 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 9.090 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 9.091 * [taylor]: Taking taylor expansion of 1/2 in J 9.091 * [backup-simplify]: Simplify 1/2 into 1/2 9.091 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.091 * [taylor]: Taking taylor expansion of J in J 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify 1 into 1 9.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.091 * [taylor]: Taking taylor expansion of -1/2 in J 9.091 * [backup-simplify]: Simplify -1/2 into -1/2 9.091 * [taylor]: Taking taylor expansion of K in J 9.091 * [backup-simplify]: Simplify K into K 9.091 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.092 * [backup-simplify]: Simplify (- 0) into 0 9.092 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.092 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.092 * [taylor]: Taking taylor expansion of 0 in K 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [taylor]: Taking taylor expansion of 0 in J 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 9.093 * [taylor]: Taking taylor expansion of 0 in J 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 9.093 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.094 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.098 * [backup-simplify]: Simplify (- 0) into 0 9.099 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.100 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.101 * [backup-simplify]: 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 9.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.102 * [backup-simplify]: Simplify (+ 1 0) into 1 9.102 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 9.102 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 9.102 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.102 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.102 * [taylor]: Taking taylor expansion of -1/2 in K 9.102 * [backup-simplify]: Simplify -1/2 into -1/2 9.102 * [taylor]: Taking taylor expansion of K in K 9.102 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.103 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.103 * [taylor]: Taking taylor expansion of J in K 9.103 * [backup-simplify]: Simplify J into J 9.103 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 9.103 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.103 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.103 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.103 * [taylor]: Taking taylor expansion of -1/2 in J 9.103 * [backup-simplify]: Simplify -1/2 into -1/2 9.103 * [taylor]: Taking taylor expansion of K in J 9.103 * [backup-simplify]: Simplify K into K 9.103 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.103 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.103 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.103 * [taylor]: Taking taylor expansion of J in J 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.103 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.103 * [backup-simplify]: Simplify (- 0) into 0 9.104 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.104 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.104 * [backup-simplify]: Simplify (+ 0) into 0 9.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.105 * [backup-simplify]: Simplify (- 0) into 0 9.106 * [backup-simplify]: Simplify (+ 0 0) into 0 9.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [taylor]: Taking taylor expansion of 0 in J 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 9.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 9.107 * [taylor]: Taking taylor expansion of 0 in J 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify (+ 0) into 0 9.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.109 * [backup-simplify]: Simplify (- 0) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.109 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.109 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 9.110 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.110 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 9.110 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 9.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.110 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.110 * [taylor]: Taking taylor expansion of 1/4 in J 9.110 * [backup-simplify]: Simplify 1/4 into 1/4 9.110 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.110 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.110 * [taylor]: Taking taylor expansion of U in J 9.110 * [backup-simplify]: Simplify U into U 9.110 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.110 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.110 * [taylor]: Taking taylor expansion of 1/2 in J 9.110 * [backup-simplify]: Simplify 1/2 into 1/2 9.110 * [taylor]: Taking taylor expansion of K in J 9.110 * [backup-simplify]: Simplify K into K 9.110 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.110 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.110 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.110 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.110 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.111 * [backup-simplify]: Simplify (- 0) into 0 9.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.111 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.111 * [taylor]: Taking taylor expansion of J in J 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.111 * [backup-simplify]: Simplify (* 1 1) into 1 9.111 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.111 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.111 * [taylor]: Taking taylor expansion of 1 in J 9.111 * [backup-simplify]: Simplify 1 into 1 9.112 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 9.112 * [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))) 9.112 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.112 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.113 * [backup-simplify]: Simplify (+ 0) into 0 9.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.114 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.114 * [backup-simplify]: Simplify (- 0) into 0 9.114 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.115 * [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 9.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 9.116 * [backup-simplify]: Simplify (+ 0 0) into 0 9.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.116 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.116 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.116 * [taylor]: Taking taylor expansion of 1/4 in K 9.116 * [backup-simplify]: Simplify 1/4 into 1/4 9.116 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.116 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.116 * [taylor]: Taking taylor expansion of U in K 9.116 * [backup-simplify]: Simplify U into U 9.116 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.116 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.116 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.116 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.116 * [taylor]: Taking taylor expansion of 1/2 in K 9.116 * [backup-simplify]: Simplify 1/2 into 1/2 9.116 * [taylor]: Taking taylor expansion of K in K 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify 1 into 1 9.116 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.117 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.117 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.117 * [taylor]: Taking taylor expansion of J in K 9.117 * [backup-simplify]: Simplify J into J 9.117 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.117 * [backup-simplify]: Simplify (* 1 1) into 1 9.117 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.117 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.117 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.117 * [taylor]: Taking taylor expansion of 1 in K 9.117 * [backup-simplify]: Simplify 1 into 1 9.118 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.118 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.118 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.118 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.118 * [backup-simplify]: Simplify (+ 0) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.119 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 9.120 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.120 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.120 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.120 * [taylor]: Taking taylor expansion of 1/4 in U 9.120 * [backup-simplify]: Simplify 1/4 into 1/4 9.120 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.120 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.120 * [taylor]: Taking taylor expansion of U in U 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.120 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.120 * [taylor]: Taking taylor expansion of 1/2 in U 9.120 * [backup-simplify]: Simplify 1/2 into 1/2 9.120 * [taylor]: Taking taylor expansion of K in U 9.120 * [backup-simplify]: Simplify K into K 9.120 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.120 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.120 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.120 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.120 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.121 * [backup-simplify]: Simplify (- 0) into 0 9.121 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.121 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.121 * [taylor]: Taking taylor expansion of J in U 9.121 * [backup-simplify]: Simplify J into J 9.121 * [backup-simplify]: Simplify (* 1 1) into 1 9.121 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.121 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.121 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.121 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.121 * [taylor]: Taking taylor expansion of 1 in U 9.121 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify (+ 0 1) into 1 9.122 * [backup-simplify]: Simplify (sqrt 1) into 1 9.122 * [backup-simplify]: Simplify (+ 0 0) into 0 9.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.123 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.123 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.123 * [taylor]: Taking taylor expansion of 1/4 in U 9.123 * [backup-simplify]: Simplify 1/4 into 1/4 9.123 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.123 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.123 * [taylor]: Taking taylor expansion of U in U 9.123 * [backup-simplify]: Simplify 0 into 0 9.123 * [backup-simplify]: Simplify 1 into 1 9.123 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.123 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.123 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.123 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.123 * [taylor]: Taking taylor expansion of 1/2 in U 9.123 * [backup-simplify]: Simplify 1/2 into 1/2 9.123 * [taylor]: Taking taylor expansion of K in U 9.123 * [backup-simplify]: Simplify K into K 9.123 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.123 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.123 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.123 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.123 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.123 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.123 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.123 * [taylor]: Taking taylor expansion of J in U 9.123 * [backup-simplify]: Simplify J into J 9.124 * [backup-simplify]: Simplify (* 1 1) into 1 9.124 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.124 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.124 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.124 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.124 * [taylor]: Taking taylor expansion of 1 in U 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [backup-simplify]: Simplify (+ 0 1) into 1 9.125 * [backup-simplify]: Simplify (sqrt 1) into 1 9.125 * [backup-simplify]: Simplify (+ 0 0) into 0 9.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.125 * [taylor]: Taking taylor expansion of 1 in K 9.125 * [backup-simplify]: Simplify 1 into 1 9.125 * [taylor]: Taking taylor expansion of 1 in J 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [taylor]: Taking taylor expansion of 0 in K 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [taylor]: Taking taylor expansion of 0 in J 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [taylor]: Taking taylor expansion of 0 in J 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [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))) 9.126 * [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)))) 9.130 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.130 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.130 * [taylor]: Taking taylor expansion of 1/8 in K 9.130 * [backup-simplify]: Simplify 1/8 into 1/8 9.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.130 * [taylor]: Taking taylor expansion of 1/2 in K 9.130 * [backup-simplify]: Simplify 1/2 into 1/2 9.130 * [taylor]: Taking taylor expansion of K in K 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.131 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.131 * [taylor]: Taking taylor expansion of J in K 9.131 * [backup-simplify]: Simplify J into J 9.131 * [backup-simplify]: Simplify (* 1 1) into 1 9.131 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.131 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.131 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 9.131 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 9.131 * [taylor]: Taking taylor expansion of 1/8 in J 9.131 * [backup-simplify]: Simplify 1/8 into 1/8 9.131 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.131 * [taylor]: Taking taylor expansion of J in J 9.131 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (* 1 1) into 1 9.132 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [taylor]: Taking taylor expansion of 0 in J 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [taylor]: Taking taylor expansion of 0 in J 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.134 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.134 * [backup-simplify]: Simplify (+ 0) into 0 9.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.137 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.137 * [backup-simplify]: Simplify (- 0) into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.138 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 9.138 * [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 9.139 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 9.140 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.140 * [taylor]: Taking taylor expansion of 0 in K 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [taylor]: Taking taylor expansion of 0 in J 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.141 * [backup-simplify]: Simplify (+ 0) into 0 9.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.142 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 9.142 * [taylor]: Taking taylor expansion of 0 in J 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [taylor]: Taking taylor expansion of 0 in J 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [taylor]: Taking taylor expansion of 0 in J 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.145 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 9.145 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.145 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.145 * [taylor]: Taking taylor expansion of 1/4 in J 9.145 * [backup-simplify]: Simplify 1/4 into 1/4 9.146 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.146 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.146 * [taylor]: Taking taylor expansion of J in J 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 1 into 1 9.146 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.146 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.146 * [taylor]: Taking taylor expansion of U in J 9.146 * [backup-simplify]: Simplify U into U 9.146 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.146 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.146 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.146 * [taylor]: Taking taylor expansion of 1/2 in J 9.146 * [backup-simplify]: Simplify 1/2 into 1/2 9.146 * [taylor]: Taking taylor expansion of K in J 9.146 * [backup-simplify]: Simplify K into K 9.146 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.146 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.146 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.146 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.147 * [backup-simplify]: Simplify (- 0) into 0 9.147 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.147 * [backup-simplify]: Simplify (* 1 1) into 1 9.147 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.147 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.148 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.148 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.148 * [taylor]: Taking taylor expansion of 1 in J 9.148 * [backup-simplify]: Simplify 1 into 1 9.148 * [backup-simplify]: Simplify (+ 0 1) into 1 9.149 * [backup-simplify]: Simplify (sqrt 1) into 1 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.150 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.150 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.150 * [taylor]: Taking taylor expansion of 1/4 in K 9.150 * [backup-simplify]: Simplify 1/4 into 1/4 9.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.150 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.150 * [taylor]: Taking taylor expansion of J in K 9.150 * [backup-simplify]: Simplify J into J 9.150 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.150 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.150 * [taylor]: Taking taylor expansion of U in K 9.150 * [backup-simplify]: Simplify U into U 9.150 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.150 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.150 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.150 * [taylor]: Taking taylor expansion of 1/2 in K 9.150 * [backup-simplify]: Simplify 1/2 into 1/2 9.150 * [taylor]: Taking taylor expansion of K in K 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 1 into 1 9.151 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.151 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.151 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.151 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.151 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.152 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.152 * [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))) 9.152 * [taylor]: Taking taylor expansion of 1 in K 9.152 * [backup-simplify]: Simplify 1 into 1 9.152 * [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)))) 9.153 * [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) 9.153 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.153 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.154 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.154 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.154 * [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 9.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.156 * [backup-simplify]: Simplify (+ 0 0) into 0 9.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.156 * [taylor]: Taking taylor expansion of 1/4 in U 9.156 * [backup-simplify]: Simplify 1/4 into 1/4 9.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.156 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.156 * [taylor]: Taking taylor expansion of J in U 9.156 * [backup-simplify]: Simplify J into J 9.156 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.157 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.157 * [taylor]: Taking taylor expansion of U in U 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.157 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.157 * [taylor]: Taking taylor expansion of 1/2 in U 9.157 * [backup-simplify]: Simplify 1/2 into 1/2 9.157 * [taylor]: Taking taylor expansion of K in U 9.157 * [backup-simplify]: Simplify K into K 9.157 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.157 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.157 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.158 * [backup-simplify]: Simplify (- 0) into 0 9.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.158 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.158 * [backup-simplify]: Simplify (* 1 1) into 1 9.158 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.158 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.159 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.159 * [taylor]: Taking taylor expansion of 1 in U 9.159 * [backup-simplify]: Simplify 1 into 1 9.159 * [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))) 9.159 * [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))) 9.159 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.160 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.160 * [backup-simplify]: Simplify (+ 0) into 0 9.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.162 * [backup-simplify]: Simplify (- 0) into 0 9.163 * [backup-simplify]: Simplify (+ 0 0) into 0 9.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.165 * [backup-simplify]: 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 9.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.166 * [backup-simplify]: Simplify (+ 0 0) into 0 9.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.166 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.166 * [taylor]: Taking taylor expansion of 1/4 in U 9.166 * [backup-simplify]: Simplify 1/4 into 1/4 9.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.166 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.166 * [taylor]: Taking taylor expansion of J in U 9.166 * [backup-simplify]: Simplify J into J 9.166 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.166 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.166 * [taylor]: Taking taylor expansion of U in U 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.166 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.166 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.167 * [taylor]: Taking taylor expansion of 1/2 in U 9.167 * [backup-simplify]: Simplify 1/2 into 1/2 9.167 * [taylor]: Taking taylor expansion of K in U 9.167 * [backup-simplify]: Simplify K into K 9.167 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.167 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.167 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.167 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.167 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.167 * [backup-simplify]: Simplify (- 0) into 0 9.168 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.168 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.168 * [backup-simplify]: Simplify (* 1 1) into 1 9.168 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.168 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.168 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.168 * [taylor]: Taking taylor expansion of 1 in U 9.168 * [backup-simplify]: Simplify 1 into 1 9.169 * [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))) 9.169 * [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))) 9.169 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.169 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.170 * [backup-simplify]: Simplify (+ 0) into 0 9.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.172 * [backup-simplify]: Simplify (- 0) into 0 9.173 * [backup-simplify]: Simplify (+ 0 0) into 0 9.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.175 * [backup-simplify]: 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 9.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.176 * [backup-simplify]: Simplify (+ 0 0) into 0 9.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 9.176 * [taylor]: Taking taylor expansion of 1/2 in K 9.176 * [backup-simplify]: Simplify 1/2 into 1/2 9.176 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 9.177 * [taylor]: Taking taylor expansion of J in K 9.177 * [backup-simplify]: Simplify J into J 9.177 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.177 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.177 * [taylor]: Taking taylor expansion of 1/2 in K 9.177 * [backup-simplify]: Simplify 1/2 into 1/2 9.177 * [taylor]: Taking taylor expansion of K in K 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.177 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.177 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.178 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 9.178 * [taylor]: Taking taylor expansion of 1/2 in J 9.178 * [backup-simplify]: Simplify 1/2 into 1/2 9.178 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.178 * [taylor]: Taking taylor expansion of J in J 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.178 * [taylor]: Taking taylor expansion of 1/2 in J 9.178 * [backup-simplify]: Simplify 1/2 into 1/2 9.178 * [taylor]: Taking taylor expansion of K in J 9.178 * [backup-simplify]: Simplify K into K 9.178 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.178 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.178 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.179 * [backup-simplify]: Simplify (- 0) into 0 9.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.179 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.179 * [taylor]: Taking taylor expansion of 0 in K 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [taylor]: Taking taylor expansion of 0 in J 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.180 * [taylor]: Taking taylor expansion of 0 in J 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 9.181 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.181 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.183 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.185 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.185 * [backup-simplify]: Simplify (- 0) into 0 9.185 * [backup-simplify]: Simplify (+ 0 0) into 0 9.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.188 * [backup-simplify]: 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 9.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.190 * [backup-simplify]: Simplify (+ 0 1) into 1 9.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.191 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 9.191 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.191 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.191 * [taylor]: Taking taylor expansion of 1/2 in K 9.191 * [backup-simplify]: Simplify 1/2 into 1/2 9.191 * [taylor]: Taking taylor expansion of K in K 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.192 * [taylor]: Taking taylor expansion of J in K 9.192 * [backup-simplify]: Simplify J into J 9.192 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 9.192 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.192 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.192 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.192 * [taylor]: Taking taylor expansion of 1/2 in J 9.192 * [backup-simplify]: Simplify 1/2 into 1/2 9.192 * [taylor]: Taking taylor expansion of K in J 9.192 * [backup-simplify]: Simplify K into K 9.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.192 * [taylor]: Taking taylor expansion of J in J 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 1 into 1 9.193 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.193 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.193 * [backup-simplify]: Simplify (- 0) into 0 9.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.194 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.194 * [backup-simplify]: Simplify (+ 0) into 0 9.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.196 * [backup-simplify]: Simplify (- 0) into 0 9.197 * [backup-simplify]: Simplify (+ 0 0) into 0 9.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [taylor]: Taking taylor expansion of 0 in J 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 9.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 9.200 * [taylor]: Taking taylor expansion of 0 in J 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify (+ 0) into 0 9.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.203 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify (+ 0 0) into 0 9.204 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 9.205 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 9.206 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 9.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.206 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.206 * [taylor]: Taking taylor expansion of 1 in J 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.206 * [taylor]: Taking taylor expansion of 1/4 in J 9.206 * [backup-simplify]: Simplify 1/4 into 1/4 9.206 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.206 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.206 * [taylor]: Taking taylor expansion of J in J 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.206 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.206 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.206 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.206 * [taylor]: Taking taylor expansion of -1/2 in J 9.206 * [backup-simplify]: Simplify -1/2 into -1/2 9.206 * [taylor]: Taking taylor expansion of K in J 9.206 * [backup-simplify]: Simplify K into K 9.206 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.206 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.206 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.206 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.206 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.207 * [backup-simplify]: Simplify (- 0) into 0 9.207 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.207 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.207 * [taylor]: Taking taylor expansion of U in J 9.207 * [backup-simplify]: Simplify U into U 9.207 * [backup-simplify]: Simplify (* 1 1) into 1 9.208 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.208 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.208 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.208 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.208 * [backup-simplify]: Simplify (+ 1 0) into 1 9.209 * [backup-simplify]: Simplify (sqrt 1) into 1 9.209 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.210 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.210 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.210 * [taylor]: Taking taylor expansion of 1 in K 9.210 * [backup-simplify]: Simplify 1 into 1 9.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.210 * [taylor]: Taking taylor expansion of 1/4 in K 9.210 * [backup-simplify]: Simplify 1/4 into 1/4 9.210 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.210 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.210 * [taylor]: Taking taylor expansion of J in K 9.210 * [backup-simplify]: Simplify J into J 9.210 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.210 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.210 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.210 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.210 * [taylor]: Taking taylor expansion of -1/2 in K 9.210 * [backup-simplify]: Simplify -1/2 into -1/2 9.210 * [taylor]: Taking taylor expansion of K in K 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.211 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.211 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.211 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.211 * [taylor]: Taking taylor expansion of U in K 9.211 * [backup-simplify]: Simplify U into U 9.211 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.211 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.212 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.212 * [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))) 9.212 * [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)))) 9.212 * [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))))) 9.213 * [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)))))) 9.213 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.213 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.213 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 9.214 * [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 9.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 9.215 * [backup-simplify]: Simplify (+ 0 0) into 0 9.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.216 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.216 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.216 * [taylor]: Taking taylor expansion of 1 in U 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.216 * [taylor]: Taking taylor expansion of 1/4 in U 9.216 * [backup-simplify]: Simplify 1/4 into 1/4 9.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.216 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.216 * [taylor]: Taking taylor expansion of J in U 9.216 * [backup-simplify]: Simplify J into J 9.216 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.216 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.216 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.216 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.216 * [taylor]: Taking taylor expansion of -1/2 in U 9.216 * [backup-simplify]: Simplify -1/2 into -1/2 9.216 * [taylor]: Taking taylor expansion of K in U 9.216 * [backup-simplify]: Simplify K into K 9.216 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.216 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.217 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.217 * [backup-simplify]: Simplify (- 0) into 0 9.217 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.217 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.217 * [taylor]: Taking taylor expansion of U in U 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.218 * [backup-simplify]: Simplify (* 1 1) into 1 9.218 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.218 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.218 * [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))) 9.219 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.219 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.219 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.220 * [backup-simplify]: Simplify (+ 0) into 0 9.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.222 * [backup-simplify]: Simplify (- 0) into 0 9.223 * [backup-simplify]: Simplify (+ 0 0) into 0 9.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.223 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.224 * [backup-simplify]: 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 9.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.225 * [backup-simplify]: Simplify (+ 0 0) into 0 9.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.225 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.225 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.225 * [taylor]: Taking taylor expansion of 1 in U 9.225 * [backup-simplify]: Simplify 1 into 1 9.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.225 * [taylor]: Taking taylor expansion of 1/4 in U 9.225 * [backup-simplify]: Simplify 1/4 into 1/4 9.225 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.225 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.225 * [taylor]: Taking taylor expansion of J in U 9.225 * [backup-simplify]: Simplify J into J 9.225 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.225 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.225 * [taylor]: Taking taylor expansion of -1/2 in U 9.225 * [backup-simplify]: Simplify -1/2 into -1/2 9.226 * [taylor]: Taking taylor expansion of K in U 9.226 * [backup-simplify]: Simplify K into K 9.226 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.226 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.226 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.226 * [backup-simplify]: Simplify (- 0) into 0 9.226 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.226 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.226 * [taylor]: Taking taylor expansion of U in U 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.227 * [backup-simplify]: Simplify (* 1 1) into 1 9.227 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.227 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.228 * [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))) 9.228 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.228 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.228 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.229 * [backup-simplify]: Simplify (+ 0) into 0 9.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.231 * [backup-simplify]: Simplify (- 0) into 0 9.231 * [backup-simplify]: Simplify (+ 0 0) into 0 9.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.231 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.231 * [backup-simplify]: 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 9.232 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 9.232 * [taylor]: Taking taylor expansion of 1/2 in K 9.232 * [backup-simplify]: Simplify 1/2 into 1/2 9.232 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 9.232 * [taylor]: Taking taylor expansion of J in K 9.232 * [backup-simplify]: Simplify J into J 9.232 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.233 * [taylor]: Taking taylor expansion of -1/2 in K 9.233 * [backup-simplify]: Simplify -1/2 into -1/2 9.233 * [taylor]: Taking taylor expansion of K in K 9.233 * [backup-simplify]: Simplify 0 into 0 9.233 * [backup-simplify]: Simplify 1 into 1 9.233 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.233 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 9.233 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 9.233 * [taylor]: Taking taylor expansion of 1/2 in J 9.233 * [backup-simplify]: Simplify 1/2 into 1/2 9.233 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.233 * [taylor]: Taking taylor expansion of J in J 9.233 * [backup-simplify]: Simplify 0 into 0 9.233 * [backup-simplify]: Simplify 1 into 1 9.233 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.233 * [taylor]: Taking taylor expansion of -1/2 in J 9.233 * [backup-simplify]: Simplify -1/2 into -1/2 9.233 * [taylor]: Taking taylor expansion of K in J 9.233 * [backup-simplify]: Simplify K into K 9.233 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.233 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.233 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.234 * [backup-simplify]: Simplify (- 0) into 0 9.234 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.234 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.234 * [taylor]: Taking taylor expansion of 0 in K 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [taylor]: Taking taylor expansion of 0 in J 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 9.235 * [taylor]: Taking taylor expansion of 0 in J 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 9.235 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.235 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.237 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.238 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.238 * [backup-simplify]: Simplify (- 0) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.239 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.240 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.241 * [backup-simplify]: Simplify (+ 1 0) into 1 9.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 9.241 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 9.241 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.241 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.241 * [taylor]: Taking taylor expansion of -1/2 in K 9.241 * [backup-simplify]: Simplify -1/2 into -1/2 9.241 * [taylor]: Taking taylor expansion of K in K 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.242 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.242 * [taylor]: Taking taylor expansion of J in K 9.242 * [backup-simplify]: Simplify J into J 9.242 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 9.242 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.242 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.242 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.242 * [taylor]: Taking taylor expansion of -1/2 in J 9.242 * [backup-simplify]: Simplify -1/2 into -1/2 9.242 * [taylor]: Taking taylor expansion of K in J 9.242 * [backup-simplify]: Simplify K into K 9.242 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.242 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.242 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.242 * [taylor]: Taking taylor expansion of J in J 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.242 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.242 * [backup-simplify]: Simplify (- 0) into 0 9.242 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.242 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.243 * [backup-simplify]: Simplify (+ 0) into 0 9.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.243 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.244 * [backup-simplify]: Simplify (- 0) into 0 9.244 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in J 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 9.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 9.246 * [taylor]: Taking taylor expansion of 0 in J 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify (+ 0) into 0 9.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.248 * [backup-simplify]: Simplify (- 0) into 0 9.248 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 9.249 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.249 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 9.249 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 9.249 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 9.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 9.249 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 9.249 * [taylor]: Taking taylor expansion of 1/4 in J 9.249 * [backup-simplify]: Simplify 1/4 into 1/4 9.249 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.249 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.249 * [taylor]: Taking taylor expansion of 1/4 in J 9.249 * [backup-simplify]: Simplify 1/4 into 1/4 9.249 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.249 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.249 * [taylor]: Taking taylor expansion of U in J 9.249 * [backup-simplify]: Simplify U into U 9.249 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.249 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.249 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.249 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.249 * [taylor]: Taking taylor expansion of 1/2 in J 9.249 * [backup-simplify]: Simplify 1/2 into 1/2 9.250 * [taylor]: Taking taylor expansion of K in J 9.250 * [backup-simplify]: Simplify K into K 9.250 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.250 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.250 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.250 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.250 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.250 * [backup-simplify]: Simplify (- 0) into 0 9.250 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.250 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.250 * [taylor]: Taking taylor expansion of J in J 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.250 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.251 * [backup-simplify]: Simplify (* 1 1) into 1 9.251 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.251 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.251 * [taylor]: Taking taylor expansion of 1 in J 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [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))) 9.251 * [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))) 9.251 * [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)))) 9.252 * [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))) 9.252 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 9.253 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 9.253 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 9.253 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 9.253 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 9.253 * [taylor]: Taking taylor expansion of 1/4 in K 9.253 * [backup-simplify]: Simplify 1/4 into 1/4 9.253 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.253 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.253 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.253 * [taylor]: Taking taylor expansion of 1/4 in K 9.253 * [backup-simplify]: Simplify 1/4 into 1/4 9.253 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.253 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.253 * [taylor]: Taking taylor expansion of U in K 9.253 * [backup-simplify]: Simplify U into U 9.253 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.253 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.253 * [taylor]: Taking taylor expansion of 1/2 in K 9.253 * [backup-simplify]: Simplify 1/2 into 1/2 9.253 * [taylor]: Taking taylor expansion of K in K 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.255 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.255 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.255 * [taylor]: Taking taylor expansion of J in K 9.255 * [backup-simplify]: Simplify J into J 9.255 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.255 * [backup-simplify]: Simplify (* 1 1) into 1 9.255 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.256 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.256 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.256 * [taylor]: Taking taylor expansion of 1 in K 9.256 * [backup-simplify]: Simplify 1 into 1 9.256 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.256 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.256 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.257 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 9.257 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 9.257 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.257 * [taylor]: Taking taylor expansion of 1/4 in U 9.257 * [backup-simplify]: Simplify 1/4 into 1/4 9.257 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.257 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.257 * [taylor]: Taking taylor expansion of 1/4 in U 9.257 * [backup-simplify]: Simplify 1/4 into 1/4 9.257 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.257 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.257 * [taylor]: Taking taylor expansion of U in U 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.258 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.258 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.258 * [taylor]: Taking taylor expansion of 1/2 in U 9.258 * [backup-simplify]: Simplify 1/2 into 1/2 9.258 * [taylor]: Taking taylor expansion of K in U 9.258 * [backup-simplify]: Simplify K into K 9.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.258 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.259 * [backup-simplify]: Simplify (- 0) into 0 9.259 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.259 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.259 * [taylor]: Taking taylor expansion of J in U 9.259 * [backup-simplify]: Simplify J into J 9.259 * [backup-simplify]: Simplify (* 1 1) into 1 9.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.259 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.260 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.260 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.260 * [taylor]: Taking taylor expansion of 1 in U 9.260 * [backup-simplify]: Simplify 1 into 1 9.260 * [backup-simplify]: Simplify (+ 0 1) into 1 9.261 * [backup-simplify]: Simplify (log 1) into 0 9.261 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.262 * [backup-simplify]: Simplify (+ 0 0) into 0 9.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.264 * [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))) 9.264 * [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)))) 9.266 * [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))) 9.267 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.267 * [backup-simplify]: Simplify (exp 0) into 1 9.267 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.267 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.267 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.267 * [taylor]: Taking taylor expansion of 1/4 in U 9.268 * [backup-simplify]: Simplify 1/4 into 1/4 9.268 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.268 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.268 * [taylor]: Taking taylor expansion of 1/4 in U 9.268 * [backup-simplify]: Simplify 1/4 into 1/4 9.268 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.268 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.268 * [taylor]: Taking taylor expansion of U in U 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify 1 into 1 9.268 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.268 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.268 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.268 * [taylor]: Taking taylor expansion of 1/2 in U 9.268 * [backup-simplify]: Simplify 1/2 into 1/2 9.268 * [taylor]: Taking taylor expansion of K in U 9.268 * [backup-simplify]: Simplify K into K 9.268 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.268 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.268 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.268 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.269 * [backup-simplify]: Simplify (- 0) into 0 9.269 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.269 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.269 * [taylor]: Taking taylor expansion of J in U 9.269 * [backup-simplify]: Simplify J into J 9.269 * [backup-simplify]: Simplify (* 1 1) into 1 9.269 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.269 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.270 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.270 * [taylor]: Taking taylor expansion of 1 in U 9.270 * [backup-simplify]: Simplify 1 into 1 9.270 * [backup-simplify]: Simplify (+ 0 1) into 1 9.270 * [backup-simplify]: Simplify (log 1) into 0 9.270 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.271 * [backup-simplify]: Simplify (+ 0 0) into 0 9.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.275 * [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))) 9.275 * [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)))) 9.277 * [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))) 9.277 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.277 * [backup-simplify]: Simplify (exp 0) into 1 9.278 * [taylor]: Taking taylor expansion of 1 in K 9.278 * [backup-simplify]: Simplify 1 into 1 9.278 * [taylor]: Taking taylor expansion of 1 in J 9.278 * [backup-simplify]: Simplify 1 into 1 9.278 * [backup-simplify]: Simplify 1 into 1 9.278 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.278 * [taylor]: Taking taylor expansion of 0 in K 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [taylor]: Taking taylor expansion of 0 in J 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [taylor]: Taking taylor expansion of 0 in J 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.279 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.279 * [taylor]: Taking taylor expansion of 1/16 in K 9.279 * [backup-simplify]: Simplify 1/16 into 1/16 9.279 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.279 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.279 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.279 * [taylor]: Taking taylor expansion of 1/2 in K 9.279 * [backup-simplify]: Simplify 1/2 into 1/2 9.279 * [taylor]: Taking taylor expansion of K in K 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.280 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.280 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.280 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.280 * [taylor]: Taking taylor expansion of J in K 9.280 * [backup-simplify]: Simplify J into J 9.280 * [backup-simplify]: Simplify (* 1 1) into 1 9.280 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.280 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.280 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 9.280 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 9.280 * [taylor]: Taking taylor expansion of 1/16 in J 9.280 * [backup-simplify]: Simplify 1/16 into 1/16 9.281 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.281 * [taylor]: Taking taylor expansion of J in J 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 1 into 1 9.281 * [backup-simplify]: Simplify (* 1 1) into 1 9.281 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [taylor]: Taking taylor expansion of 0 in J 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [taylor]: Taking taylor expansion of 0 in J 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 1 into 1 9.284 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.284 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 9.284 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 9.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 9.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 9.284 * [taylor]: Taking taylor expansion of 1/4 in J 9.284 * [backup-simplify]: Simplify 1/4 into 1/4 9.284 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.284 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.284 * [taylor]: Taking taylor expansion of 1/4 in J 9.284 * [backup-simplify]: Simplify 1/4 into 1/4 9.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.284 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.284 * [taylor]: Taking taylor expansion of J in J 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 1 into 1 9.284 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.284 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.284 * [taylor]: Taking taylor expansion of U in J 9.284 * [backup-simplify]: Simplify U into U 9.284 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.284 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.284 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.284 * [taylor]: Taking taylor expansion of 1/2 in J 9.284 * [backup-simplify]: Simplify 1/2 into 1/2 9.284 * [taylor]: Taking taylor expansion of K in J 9.284 * [backup-simplify]: Simplify K into K 9.284 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.284 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.284 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.284 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.284 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.285 * [backup-simplify]: Simplify (- 0) into 0 9.285 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.285 * [backup-simplify]: Simplify (* 1 1) into 1 9.285 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.285 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.285 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.286 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.286 * [taylor]: Taking taylor expansion of 1 in J 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [backup-simplify]: Simplify (+ 0 1) into 1 9.286 * [backup-simplify]: Simplify (log 1) into 0 9.286 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.287 * [backup-simplify]: Simplify (+ 0 0) into 0 9.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.288 * [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))) 9.288 * [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)))) 9.289 * [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))) 9.290 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 9.290 * [backup-simplify]: Simplify (exp 0) into 1 9.290 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 9.290 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 9.290 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 9.290 * [taylor]: Taking taylor expansion of 1/4 in K 9.290 * [backup-simplify]: Simplify 1/4 into 1/4 9.290 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.290 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.290 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.290 * [taylor]: Taking taylor expansion of 1/4 in K 9.290 * [backup-simplify]: Simplify 1/4 into 1/4 9.290 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.290 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.290 * [taylor]: Taking taylor expansion of J in K 9.290 * [backup-simplify]: Simplify J into J 9.290 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.290 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.290 * [taylor]: Taking taylor expansion of U in K 9.290 * [backup-simplify]: Simplify U into U 9.290 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.290 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.290 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.290 * [taylor]: Taking taylor expansion of 1/2 in K 9.290 * [backup-simplify]: Simplify 1/2 into 1/2 9.290 * [taylor]: Taking taylor expansion of K in K 9.290 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify 1 into 1 9.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.291 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.291 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.291 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.291 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.291 * [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))) 9.291 * [taylor]: Taking taylor expansion of 1 in K 9.291 * [backup-simplify]: Simplify 1 into 1 9.291 * [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)))) 9.291 * [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) 9.292 * [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)) 9.292 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 9.292 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.292 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.292 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.292 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.292 * [taylor]: Taking taylor expansion of 1/4 in U 9.292 * [backup-simplify]: Simplify 1/4 into 1/4 9.292 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.292 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.292 * [taylor]: Taking taylor expansion of 1/4 in U 9.292 * [backup-simplify]: Simplify 1/4 into 1/4 9.292 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.292 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.292 * [taylor]: Taking taylor expansion of J in U 9.292 * [backup-simplify]: Simplify J into J 9.292 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.292 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.292 * [taylor]: Taking taylor expansion of U in U 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify 1 into 1 9.292 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.292 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.292 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.292 * [taylor]: Taking taylor expansion of 1/2 in U 9.292 * [backup-simplify]: Simplify 1/2 into 1/2 9.293 * [taylor]: Taking taylor expansion of K in U 9.293 * [backup-simplify]: Simplify K into K 9.293 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.293 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.293 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.293 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.293 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.293 * [backup-simplify]: Simplify (- 0) into 0 9.293 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.293 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.293 * [backup-simplify]: Simplify (* 1 1) into 1 9.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.294 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.294 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.294 * [taylor]: Taking taylor expansion of 1 in U 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [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))) 9.294 * [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))) 9.294 * [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)))) 9.295 * [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))) 9.295 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.295 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.295 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.295 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.295 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.295 * [taylor]: Taking taylor expansion of 1/4 in U 9.295 * [backup-simplify]: Simplify 1/4 into 1/4 9.295 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.295 * [taylor]: Taking taylor expansion of 1/4 in U 9.295 * [backup-simplify]: Simplify 1/4 into 1/4 9.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.295 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.295 * [taylor]: Taking taylor expansion of J in U 9.295 * [backup-simplify]: Simplify J into J 9.295 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.295 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.295 * [taylor]: Taking taylor expansion of U in U 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.295 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.295 * [taylor]: Taking taylor expansion of 1/2 in U 9.295 * [backup-simplify]: Simplify 1/2 into 1/2 9.295 * [taylor]: Taking taylor expansion of K in U 9.295 * [backup-simplify]: Simplify K into K 9.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.295 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.296 * [backup-simplify]: Simplify (- 0) into 0 9.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.296 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.296 * [backup-simplify]: Simplify (* 1 1) into 1 9.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.296 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.296 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.297 * [taylor]: Taking taylor expansion of 1 in U 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [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))) 9.297 * [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))) 9.297 * [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)))) 9.298 * [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))) 9.298 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.298 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.298 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 9.298 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 9.298 * [taylor]: Taking taylor expansion of 1/4 in K 9.298 * [backup-simplify]: Simplify 1/4 into 1/4 9.298 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 9.299 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.299 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 9.299 * [taylor]: Taking taylor expansion of 1/4 in K 9.299 * [backup-simplify]: Simplify 1/4 into 1/4 9.299 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 9.299 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.299 * [taylor]: Taking taylor expansion of J in K 9.299 * [backup-simplify]: Simplify J into J 9.299 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.299 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.299 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.299 * [taylor]: Taking taylor expansion of 1/2 in K 9.299 * [backup-simplify]: Simplify 1/2 into 1/2 9.299 * [taylor]: Taking taylor expansion of K in K 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.299 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.300 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.300 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.300 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.300 * [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))) 9.300 * [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)))) 9.300 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.300 * [taylor]: Taking taylor expansion of 2 in K 9.300 * [backup-simplify]: Simplify 2 into 2 9.300 * [taylor]: Taking taylor expansion of (log U) in K 9.300 * [taylor]: Taking taylor expansion of U in K 9.300 * [backup-simplify]: Simplify U into U 9.300 * [backup-simplify]: Simplify (log U) into (log U) 9.301 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.301 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.301 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.301 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.302 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.302 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.302 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.302 * [taylor]: Taking taylor expansion of 1/4 in J 9.302 * [backup-simplify]: Simplify 1/4 into 1/4 9.302 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.302 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.302 * [taylor]: Taking taylor expansion of 1/4 in J 9.302 * [backup-simplify]: Simplify 1/4 into 1/4 9.302 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.302 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.302 * [taylor]: Taking taylor expansion of J in J 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify 1 into 1 9.302 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.302 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.302 * [taylor]: Taking taylor expansion of 1/2 in J 9.302 * [backup-simplify]: Simplify 1/2 into 1/2 9.302 * [taylor]: Taking taylor expansion of K in J 9.302 * [backup-simplify]: Simplify K into K 9.302 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.302 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.302 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.302 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.303 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.303 * [backup-simplify]: Simplify (- 0) into 0 9.303 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.304 * [backup-simplify]: Simplify (* 1 1) into 1 9.304 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.304 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.304 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.304 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.304 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.304 * [taylor]: Taking taylor expansion of 2 in J 9.304 * [backup-simplify]: Simplify 2 into 2 9.304 * [taylor]: Taking taylor expansion of (log U) in J 9.304 * [taylor]: Taking taylor expansion of U in J 9.304 * [backup-simplify]: Simplify U into U 9.304 * [backup-simplify]: Simplify (log U) into (log U) 9.305 * [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)))) 9.305 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.305 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.305 * [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))) 9.306 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.306 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.306 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.306 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.307 * [backup-simplify]: Simplify (+ 0) into 0 9.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.309 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.309 * [backup-simplify]: Simplify (- 0) into 0 9.310 * [backup-simplify]: Simplify (+ 0 0) into 0 9.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.311 * [backup-simplify]: 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 9.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.312 * [backup-simplify]: Simplify (+ 0 0) into 0 9.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 9.314 * [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))) 9.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.316 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.316 * [taylor]: Taking taylor expansion of 0 in K 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [taylor]: Taking taylor expansion of 0 in J 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.317 * [backup-simplify]: 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 9.317 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 9.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.318 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.319 * [backup-simplify]: Simplify (- 0) into 0 9.319 * [backup-simplify]: Simplify (+ 0 0) into 0 9.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.320 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.320 * [taylor]: Taking taylor expansion of 0 in J 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.321 * [backup-simplify]: Simplify (+ 0) into 0 9.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.322 * [backup-simplify]: Simplify (- 0) into 0 9.323 * [backup-simplify]: Simplify (+ 0 0) into 0 9.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.323 * [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 9.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.325 * [backup-simplify]: Simplify (- 0) into 0 9.325 * [backup-simplify]: Simplify (+ 0 0) into 0 9.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.326 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.329 * [backup-simplify]: Simplify (- 0) into 0 9.329 * [backup-simplify]: Simplify (+ 0 0) into 0 9.329 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.331 * [backup-simplify]: 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 9.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.332 * [backup-simplify]: Simplify (+ 0 1) into 1 9.333 * [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))) 9.333 * [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))) 9.334 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 9.335 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 9.335 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 9.335 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 9.335 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 9.335 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 9.335 * [taylor]: Taking taylor expansion of 1/4 in K 9.335 * [backup-simplify]: Simplify 1/4 into 1/4 9.335 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 9.335 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 9.335 * [taylor]: Taking taylor expansion of 1/4 in K 9.335 * [backup-simplify]: Simplify 1/4 into 1/4 9.335 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 9.335 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.335 * [taylor]: Taking taylor expansion of J in K 9.335 * [backup-simplify]: Simplify J into J 9.335 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.335 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.335 * [taylor]: Taking taylor expansion of 1/2 in K 9.335 * [backup-simplify]: Simplify 1/2 into 1/2 9.335 * [taylor]: Taking taylor expansion of K in K 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.336 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.336 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.336 * [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))) 9.336 * [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)))) 9.336 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.336 * [taylor]: Taking taylor expansion of 2 in K 9.336 * [backup-simplify]: Simplify 2 into 2 9.336 * [taylor]: Taking taylor expansion of (log U) in K 9.336 * [taylor]: Taking taylor expansion of U in K 9.336 * [backup-simplify]: Simplify U into U 9.336 * [backup-simplify]: Simplify (log U) into (log U) 9.336 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.336 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.336 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.337 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.337 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.337 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.337 * [taylor]: Taking taylor expansion of 1/2 in K 9.337 * [backup-simplify]: Simplify 1/2 into 1/2 9.337 * [taylor]: Taking taylor expansion of K in K 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.337 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.337 * [taylor]: Taking taylor expansion of J in K 9.337 * [backup-simplify]: Simplify J into J 9.337 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.338 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.338 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.338 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 9.338 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 9.338 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 9.338 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.338 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.338 * [taylor]: Taking taylor expansion of 1/4 in J 9.338 * [backup-simplify]: Simplify 1/4 into 1/4 9.338 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.338 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.338 * [taylor]: Taking taylor expansion of 1/4 in J 9.338 * [backup-simplify]: Simplify 1/4 into 1/4 9.338 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.338 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.338 * [taylor]: Taking taylor expansion of J in J 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.338 * [taylor]: Taking taylor expansion of 1/2 in J 9.338 * [backup-simplify]: Simplify 1/2 into 1/2 9.338 * [taylor]: Taking taylor expansion of K in J 9.338 * [backup-simplify]: Simplify K into K 9.338 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.338 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.339 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.339 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.339 * [backup-simplify]: Simplify (- 0) into 0 9.339 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.339 * [backup-simplify]: Simplify (* 1 1) into 1 9.339 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.339 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.339 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.340 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.340 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.340 * [taylor]: Taking taylor expansion of 2 in J 9.340 * [backup-simplify]: Simplify 2 into 2 9.340 * [taylor]: Taking taylor expansion of (log U) in J 9.340 * [taylor]: Taking taylor expansion of U in J 9.340 * [backup-simplify]: Simplify U into U 9.340 * [backup-simplify]: Simplify (log U) into (log U) 9.340 * [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)))) 9.340 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.340 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.340 * [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))) 9.340 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.341 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.341 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.341 * [taylor]: Taking taylor expansion of 1/2 in J 9.341 * [backup-simplify]: Simplify 1/2 into 1/2 9.341 * [taylor]: Taking taylor expansion of K in J 9.341 * [backup-simplify]: Simplify K into K 9.341 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.341 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.341 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.341 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.341 * [backup-simplify]: Simplify (- 0) into 0 9.341 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.341 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.341 * [taylor]: Taking taylor expansion of J in J 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.342 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.342 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.343 * [backup-simplify]: Simplify (+ 0) into 0 9.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.345 * [backup-simplify]: Simplify (- 0) into 0 9.345 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.346 * [backup-simplify]: Simplify (- 0) into 0 9.347 * [backup-simplify]: Simplify (+ 0 0) into 0 9.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.348 * [backup-simplify]: Simplify (+ 0) into 0 9.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.348 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.349 * [backup-simplify]: Simplify (- 0) into 0 9.349 * [backup-simplify]: Simplify (+ 0 0) into 0 9.349 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.350 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.353 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.353 * [backup-simplify]: Simplify (- 0) into 0 9.353 * [backup-simplify]: Simplify (+ 0 0) into 0 9.354 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.355 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.355 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.360 * [backup-simplify]: Simplify (- 0) into 0 9.360 * [backup-simplify]: Simplify (+ 0 0) into 0 9.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.361 * [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 9.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 9.364 * [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 9.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.367 * [backup-simplify]: Simplify (- 0) into 0 9.368 * [backup-simplify]: Simplify (+ 0 0) into 0 9.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.371 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.371 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.373 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 9.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [taylor]: Taking taylor expansion of 0 in J 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.378 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.378 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 9.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.385 * [backup-simplify]: Simplify (- 0) into 0 9.385 * [backup-simplify]: Simplify (+ 0 0) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.388 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.388 * [taylor]: Taking taylor expansion of 0 in J 9.388 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 9.390 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 9.390 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 9.390 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 9.390 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 9.390 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 9.390 * [taylor]: Taking taylor expansion of 1/4 in J 9.390 * [backup-simplify]: Simplify 1/4 into 1/4 9.390 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.390 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.390 * [taylor]: Taking taylor expansion of 1 in J 9.390 * [backup-simplify]: Simplify 1 into 1 9.390 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.390 * [taylor]: Taking taylor expansion of 1/4 in J 9.390 * [backup-simplify]: Simplify 1/4 into 1/4 9.390 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.390 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.390 * [taylor]: Taking taylor expansion of J in J 9.390 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify 1 into 1 9.390 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.390 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.390 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.390 * [taylor]: Taking taylor expansion of -1/2 in J 9.390 * [backup-simplify]: Simplify -1/2 into -1/2 9.390 * [taylor]: Taking taylor expansion of K in J 9.390 * [backup-simplify]: Simplify K into K 9.390 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.391 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.391 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.391 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.391 * [backup-simplify]: Simplify (- 0) into 0 9.391 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.391 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.391 * [taylor]: Taking taylor expansion of U in J 9.391 * [backup-simplify]: Simplify U into U 9.392 * [backup-simplify]: Simplify (* 1 1) into 1 9.392 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.392 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.392 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.392 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.393 * [backup-simplify]: Simplify (+ 1 0) into 1 9.397 * [backup-simplify]: Simplify (log 1) into 0 9.398 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.398 * [backup-simplify]: Simplify (+ 0 0) into 0 9.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.400 * [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))) 9.401 * [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)))) 9.403 * [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))) 9.404 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 9.404 * [backup-simplify]: Simplify (exp 0) into 1 9.404 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 9.404 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 9.404 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 9.404 * [taylor]: Taking taylor expansion of 1/4 in K 9.404 * [backup-simplify]: Simplify 1/4 into 1/4 9.404 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.404 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.404 * [taylor]: Taking taylor expansion of 1 in K 9.404 * [backup-simplify]: Simplify 1 into 1 9.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.404 * [taylor]: Taking taylor expansion of 1/4 in K 9.404 * [backup-simplify]: Simplify 1/4 into 1/4 9.404 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.404 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.404 * [taylor]: Taking taylor expansion of J in K 9.404 * [backup-simplify]: Simplify J into J 9.404 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.404 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.404 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.404 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.404 * [taylor]: Taking taylor expansion of -1/2 in K 9.404 * [backup-simplify]: Simplify -1/2 into -1/2 9.404 * [taylor]: Taking taylor expansion of K in K 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.405 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.405 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.405 * [taylor]: Taking taylor expansion of U in K 9.405 * [backup-simplify]: Simplify U into U 9.405 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.405 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.405 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.405 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.406 * [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))) 9.406 * [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)))) 9.406 * [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))))) 9.407 * [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)))))) 9.407 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 9.407 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 9.407 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 9.407 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 9.408 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 9.408 * [taylor]: Taking taylor expansion of 1/4 in U 9.408 * [backup-simplify]: Simplify 1/4 into 1/4 9.408 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.408 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.408 * [taylor]: Taking taylor expansion of 1 in U 9.408 * [backup-simplify]: Simplify 1 into 1 9.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.408 * [taylor]: Taking taylor expansion of 1/4 in U 9.408 * [backup-simplify]: Simplify 1/4 into 1/4 9.408 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.408 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.408 * [taylor]: Taking taylor expansion of J in U 9.408 * [backup-simplify]: Simplify J into J 9.408 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.408 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.408 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.408 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.408 * [taylor]: Taking taylor expansion of -1/2 in U 9.408 * [backup-simplify]: Simplify -1/2 into -1/2 9.408 * [taylor]: Taking taylor expansion of K in U 9.408 * [backup-simplify]: Simplify K into K 9.408 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.408 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.408 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.408 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.408 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.409 * [backup-simplify]: Simplify (- 0) into 0 9.409 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.409 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.409 * [taylor]: Taking taylor expansion of U in U 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.409 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.410 * [backup-simplify]: Simplify (* 1 1) into 1 9.410 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.410 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.410 * [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))) 9.410 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.411 * [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)))) 9.411 * [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))) 9.412 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.412 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.412 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 9.412 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 9.412 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 9.412 * [taylor]: Taking taylor expansion of 1/4 in U 9.412 * [backup-simplify]: Simplify 1/4 into 1/4 9.412 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.412 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.412 * [taylor]: Taking taylor expansion of 1 in U 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.412 * [taylor]: Taking taylor expansion of 1/4 in U 9.412 * [backup-simplify]: Simplify 1/4 into 1/4 9.412 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.412 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.412 * [taylor]: Taking taylor expansion of J in U 9.412 * [backup-simplify]: Simplify J into J 9.412 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.412 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.413 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.413 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.413 * [taylor]: Taking taylor expansion of -1/2 in U 9.413 * [backup-simplify]: Simplify -1/2 into -1/2 9.413 * [taylor]: Taking taylor expansion of K in U 9.413 * [backup-simplify]: Simplify K into K 9.413 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.413 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.413 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.413 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.413 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.413 * [backup-simplify]: Simplify (- 0) into 0 9.414 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.414 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.414 * [taylor]: Taking taylor expansion of U in U 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.414 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.414 * [backup-simplify]: Simplify (* 1 1) into 1 9.414 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.414 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.415 * [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))) 9.415 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.415 * [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)))) 9.416 * [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))) 9.416 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.416 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.417 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 9.417 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 9.417 * [taylor]: Taking taylor expansion of 1/4 in K 9.417 * [backup-simplify]: Simplify 1/4 into 1/4 9.417 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 9.417 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 9.417 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 9.417 * [taylor]: Taking taylor expansion of 1/4 in K 9.417 * [backup-simplify]: Simplify 1/4 into 1/4 9.417 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 9.417 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.417 * [taylor]: Taking taylor expansion of J in K 9.417 * [backup-simplify]: Simplify J into J 9.417 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.417 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.417 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.417 * [taylor]: Taking taylor expansion of -1/2 in K 9.417 * [backup-simplify]: Simplify -1/2 into -1/2 9.417 * [taylor]: Taking taylor expansion of K in K 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.418 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.418 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.418 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.418 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.418 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.418 * [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))) 9.418 * [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)))) 9.418 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.419 * [taylor]: Taking taylor expansion of 2 in K 9.419 * [backup-simplify]: Simplify 2 into 2 9.419 * [taylor]: Taking taylor expansion of (log U) in K 9.419 * [taylor]: Taking taylor expansion of U in K 9.419 * [backup-simplify]: Simplify U into U 9.419 * [backup-simplify]: Simplify (log U) into (log U) 9.419 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.419 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.419 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.419 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.420 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.420 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 9.420 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.420 * [taylor]: Taking taylor expansion of 1/4 in J 9.420 * [backup-simplify]: Simplify 1/4 into 1/4 9.420 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.420 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.420 * [taylor]: Taking taylor expansion of 1/4 in J 9.420 * [backup-simplify]: Simplify 1/4 into 1/4 9.420 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.420 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.420 * [taylor]: Taking taylor expansion of J in J 9.420 * [backup-simplify]: Simplify 0 into 0 9.420 * [backup-simplify]: Simplify 1 into 1 9.420 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.420 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.420 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.420 * [taylor]: Taking taylor expansion of -1/2 in J 9.420 * [backup-simplify]: Simplify -1/2 into -1/2 9.420 * [taylor]: Taking taylor expansion of K in J 9.420 * [backup-simplify]: Simplify K into K 9.420 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.420 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.421 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.421 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.421 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.421 * [backup-simplify]: Simplify (- 0) into 0 9.421 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.422 * [backup-simplify]: Simplify (* 1 1) into 1 9.422 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.422 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.422 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.422 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.422 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.422 * [taylor]: Taking taylor expansion of 2 in J 9.422 * [backup-simplify]: Simplify 2 into 2 9.422 * [taylor]: Taking taylor expansion of (log U) in J 9.422 * [taylor]: Taking taylor expansion of U in J 9.422 * [backup-simplify]: Simplify U into U 9.422 * [backup-simplify]: Simplify (log U) into (log U) 9.423 * [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)))) 9.423 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.423 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.423 * [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))) 9.424 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.424 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.424 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.424 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.426 * [backup-simplify]: Simplify (+ 0) into 0 9.426 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.428 * [backup-simplify]: Simplify (- 0) into 0 9.428 * [backup-simplify]: Simplify (+ 0 0) into 0 9.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.429 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.429 * [backup-simplify]: 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 9.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.430 * [backup-simplify]: Simplify (+ 0 0) into 0 9.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 9.432 * [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))) 9.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.434 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.434 * [taylor]: Taking taylor expansion of 0 in K 9.434 * [backup-simplify]: Simplify 0 into 0 9.434 * [taylor]: Taking taylor expansion of 0 in J 9.434 * [backup-simplify]: Simplify 0 into 0 9.434 * [backup-simplify]: Simplify 0 into 0 9.434 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.435 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.435 * [backup-simplify]: 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 9.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 9.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.438 * [backup-simplify]: Simplify (- 0) into 0 9.439 * [backup-simplify]: Simplify (+ 0 0) into 0 9.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.441 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.441 * [taylor]: Taking taylor expansion of 0 in J 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.442 * [backup-simplify]: Simplify (+ 0) into 0 9.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.444 * [backup-simplify]: Simplify (- 0) into 0 9.445 * [backup-simplify]: Simplify (+ 0 0) into 0 9.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.445 * [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 9.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.448 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.448 * [backup-simplify]: Simplify (- 0) into 0 9.449 * [backup-simplify]: Simplify (+ 0 0) into 0 9.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.451 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.456 * [backup-simplify]: Simplify (- 0) into 0 9.456 * [backup-simplify]: Simplify (+ 0 0) into 0 9.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.457 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.458 * [backup-simplify]: 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 9.459 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.459 * [backup-simplify]: Simplify (+ 1 0) into 1 9.462 * [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))) 9.463 * [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))) 9.464 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 9.465 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.466 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 9.466 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 9.466 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.466 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.466 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.466 * [taylor]: Taking taylor expansion of -1/2 in K 9.466 * [backup-simplify]: Simplify -1/2 into -1/2 9.466 * [taylor]: Taking taylor expansion of K in K 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.466 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.466 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 9.466 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 9.466 * [taylor]: Taking taylor expansion of 1/4 in K 9.466 * [backup-simplify]: Simplify 1/4 into 1/4 9.466 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 9.466 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 9.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 9.466 * [taylor]: Taking taylor expansion of 1/4 in K 9.466 * [backup-simplify]: Simplify 1/4 into 1/4 9.466 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 9.466 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.466 * [taylor]: Taking taylor expansion of J in K 9.467 * [backup-simplify]: Simplify J into J 9.467 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.467 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.467 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.467 * [taylor]: Taking taylor expansion of -1/2 in K 9.467 * [backup-simplify]: Simplify -1/2 into -1/2 9.467 * [taylor]: Taking taylor expansion of K in K 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify 1 into 1 9.467 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.467 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.467 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.467 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.468 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.468 * [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))) 9.468 * [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)))) 9.468 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.468 * [taylor]: Taking taylor expansion of 2 in K 9.468 * [backup-simplify]: Simplify 2 into 2 9.468 * [taylor]: Taking taylor expansion of (log U) in K 9.468 * [taylor]: Taking taylor expansion of U in K 9.468 * [backup-simplify]: Simplify U into U 9.468 * [backup-simplify]: Simplify (log U) into (log U) 9.468 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.468 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.469 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.469 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.469 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.469 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.469 * [taylor]: Taking taylor expansion of J in K 9.469 * [backup-simplify]: Simplify J into J 9.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.470 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.470 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.470 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.470 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 9.471 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 9.471 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.471 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.471 * [taylor]: Taking taylor expansion of -1/2 in J 9.471 * [backup-simplify]: Simplify -1/2 into -1/2 9.471 * [taylor]: Taking taylor expansion of K in J 9.471 * [backup-simplify]: Simplify K into K 9.471 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.471 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.471 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.471 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.471 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.472 * [backup-simplify]: Simplify (- 0) into 0 9.472 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 9.472 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.472 * [taylor]: Taking taylor expansion of 1/4 in J 9.472 * [backup-simplify]: Simplify 1/4 into 1/4 9.472 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.472 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.472 * [taylor]: Taking taylor expansion of 1/4 in J 9.472 * [backup-simplify]: Simplify 1/4 into 1/4 9.472 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.472 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.472 * [taylor]: Taking taylor expansion of J in J 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.472 * [taylor]: Taking taylor expansion of -1/2 in J 9.472 * [backup-simplify]: Simplify -1/2 into -1/2 9.472 * [taylor]: Taking taylor expansion of K in J 9.472 * [backup-simplify]: Simplify K into K 9.472 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.473 * [backup-simplify]: Simplify (- 0) into 0 9.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.473 * [backup-simplify]: Simplify (* 1 1) into 1 9.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.474 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.474 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.474 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.474 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.474 * [taylor]: Taking taylor expansion of 2 in J 9.474 * [backup-simplify]: Simplify 2 into 2 9.474 * [taylor]: Taking taylor expansion of (log U) in J 9.474 * [taylor]: Taking taylor expansion of U in J 9.474 * [backup-simplify]: Simplify U into U 9.474 * [backup-simplify]: Simplify (log U) into (log U) 9.474 * [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)))) 9.474 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.474 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.474 * [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))) 9.475 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.475 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.475 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.475 * [taylor]: Taking taylor expansion of J in J 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 1 into 1 9.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.475 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.476 * [backup-simplify]: Simplify (* 1 1) into 1 9.476 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.476 * [backup-simplify]: Simplify (+ 0) into 0 9.477 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.477 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.478 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.478 * [backup-simplify]: Simplify (- 0) into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.478 * [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 9.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.480 * [backup-simplify]: Simplify (- 0) into 0 9.481 * [backup-simplify]: Simplify (+ 0 0) into 0 9.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.484 * [backup-simplify]: Simplify (- 0) into 0 9.484 * [backup-simplify]: Simplify (+ 0 0) into 0 9.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.485 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 9.486 * [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 9.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.488 * [backup-simplify]: Simplify (- 0) into 0 9.488 * [backup-simplify]: Simplify (+ 0 0) into 0 9.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.490 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.490 * [backup-simplify]: Simplify (+ 0) into 0 9.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.491 * [backup-simplify]: Simplify (- 0) into 0 9.492 * [backup-simplify]: Simplify (+ 0 0) into 0 9.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.492 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.495 * [backup-simplify]: Simplify (- 0) into 0 9.495 * [backup-simplify]: Simplify (+ 0 0) into 0 9.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.496 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 9.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.497 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 9.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 9.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [taylor]: Taking taylor expansion of 0 in J 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.500 * [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 9.501 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 9.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.505 * [backup-simplify]: Simplify (- 0) into 0 9.506 * [backup-simplify]: Simplify (+ 0 0) into 0 9.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.509 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.509 * [taylor]: Taking taylor expansion of 0 in J 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 9.509 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.510 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 9.510 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 9.510 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 9.510 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 9.510 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 9.510 * [taylor]: Taking taylor expansion of 1/4 in J 9.510 * [backup-simplify]: Simplify 1/4 into 1/4 9.510 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.510 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.510 * [taylor]: Taking taylor expansion of 1/4 in J 9.510 * [backup-simplify]: Simplify 1/4 into 1/4 9.510 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.510 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.510 * [taylor]: Taking taylor expansion of U in J 9.510 * [backup-simplify]: Simplify U into U 9.510 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.510 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.510 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.510 * [taylor]: Taking taylor expansion of 1/2 in J 9.510 * [backup-simplify]: Simplify 1/2 into 1/2 9.511 * [taylor]: Taking taylor expansion of K in J 9.511 * [backup-simplify]: Simplify K into K 9.511 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.511 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.511 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.511 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.511 * [backup-simplify]: Simplify (- 0) into 0 9.511 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.511 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.511 * [taylor]: Taking taylor expansion of J in J 9.512 * [backup-simplify]: Simplify 0 into 0 9.512 * [backup-simplify]: Simplify 1 into 1 9.512 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.512 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.512 * [backup-simplify]: Simplify (* 1 1) into 1 9.512 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.512 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.512 * [taylor]: Taking taylor expansion of 1 in J 9.513 * [backup-simplify]: Simplify 1 into 1 9.513 * [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))) 9.513 * [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))) 9.513 * [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)))) 9.514 * [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))) 9.514 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 9.515 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 9.515 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 9.515 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 9.515 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 9.515 * [taylor]: Taking taylor expansion of 1/4 in K 9.515 * [backup-simplify]: Simplify 1/4 into 1/4 9.515 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.515 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.515 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.515 * [taylor]: Taking taylor expansion of 1/4 in K 9.515 * [backup-simplify]: Simplify 1/4 into 1/4 9.515 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.515 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.515 * [taylor]: Taking taylor expansion of U in K 9.515 * [backup-simplify]: Simplify U into U 9.515 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.515 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.515 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.515 * [taylor]: Taking taylor expansion of 1/2 in K 9.515 * [backup-simplify]: Simplify 1/2 into 1/2 9.515 * [taylor]: Taking taylor expansion of K in K 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify 1 into 1 9.516 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.516 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.516 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.517 * [taylor]: Taking taylor expansion of J in K 9.517 * [backup-simplify]: Simplify J into J 9.517 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.517 * [backup-simplify]: Simplify (* 1 1) into 1 9.517 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.517 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.517 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.517 * [taylor]: Taking taylor expansion of 1 in K 9.517 * [backup-simplify]: Simplify 1 into 1 9.517 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.518 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.518 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.518 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 9.519 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 9.519 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.519 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.519 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.519 * [taylor]: Taking taylor expansion of 1/4 in U 9.519 * [backup-simplify]: Simplify 1/4 into 1/4 9.519 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.519 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.519 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.519 * [taylor]: Taking taylor expansion of 1/4 in U 9.519 * [backup-simplify]: Simplify 1/4 into 1/4 9.519 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.519 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.519 * [taylor]: Taking taylor expansion of U in U 9.519 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify 1 into 1 9.519 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.519 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.519 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.519 * [taylor]: Taking taylor expansion of 1/2 in U 9.519 * [backup-simplify]: Simplify 1/2 into 1/2 9.519 * [taylor]: Taking taylor expansion of K in U 9.519 * [backup-simplify]: Simplify K into K 9.520 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.520 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.520 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.520 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.520 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.521 * [backup-simplify]: Simplify (- 0) into 0 9.521 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.521 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.521 * [taylor]: Taking taylor expansion of J in U 9.521 * [backup-simplify]: Simplify J into J 9.521 * [backup-simplify]: Simplify (* 1 1) into 1 9.521 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.521 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.522 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.522 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.522 * [taylor]: Taking taylor expansion of 1 in U 9.522 * [backup-simplify]: Simplify 1 into 1 9.522 * [backup-simplify]: Simplify (+ 0 1) into 1 9.523 * [backup-simplify]: Simplify (log 1) into 0 9.523 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.523 * [backup-simplify]: Simplify (+ 0 0) into 0 9.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.526 * [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))) 9.526 * [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)))) 9.528 * [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))) 9.528 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.528 * [backup-simplify]: Simplify (exp 0) into 1 9.529 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.529 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.529 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.529 * [taylor]: Taking taylor expansion of 1/4 in U 9.529 * [backup-simplify]: Simplify 1/4 into 1/4 9.529 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.529 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.529 * [taylor]: Taking taylor expansion of 1/4 in U 9.529 * [backup-simplify]: Simplify 1/4 into 1/4 9.529 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.529 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.529 * [taylor]: Taking taylor expansion of U in U 9.529 * [backup-simplify]: Simplify 0 into 0 9.529 * [backup-simplify]: Simplify 1 into 1 9.529 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.529 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.529 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.529 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.529 * [taylor]: Taking taylor expansion of 1/2 in U 9.529 * [backup-simplify]: Simplify 1/2 into 1/2 9.529 * [taylor]: Taking taylor expansion of K in U 9.529 * [backup-simplify]: Simplify K into K 9.529 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.529 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.529 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.529 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.530 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.530 * [backup-simplify]: Simplify (- 0) into 0 9.530 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.530 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.530 * [taylor]: Taking taylor expansion of J in U 9.530 * [backup-simplify]: Simplify J into J 9.530 * [backup-simplify]: Simplify (* 1 1) into 1 9.531 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.531 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.531 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.531 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.531 * [taylor]: Taking taylor expansion of 1 in U 9.531 * [backup-simplify]: Simplify 1 into 1 9.532 * [backup-simplify]: Simplify (+ 0 1) into 1 9.532 * [backup-simplify]: Simplify (log 1) into 0 9.537 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.537 * [backup-simplify]: Simplify (+ 0 0) into 0 9.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.539 * [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))) 9.540 * [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)))) 9.542 * [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))) 9.542 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.543 * [backup-simplify]: Simplify (exp 0) into 1 9.543 * [taylor]: Taking taylor expansion of 1 in K 9.543 * [backup-simplify]: Simplify 1 into 1 9.543 * [taylor]: Taking taylor expansion of 1 in J 9.543 * [backup-simplify]: Simplify 1 into 1 9.543 * [backup-simplify]: Simplify 1 into 1 9.544 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.544 * [taylor]: Taking taylor expansion of 0 in K 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [taylor]: Taking taylor expansion of 0 in J 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [taylor]: Taking taylor expansion of 0 in J 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.545 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.545 * [taylor]: Taking taylor expansion of 1/16 in K 9.545 * [backup-simplify]: Simplify 1/16 into 1/16 9.545 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.545 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.545 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.545 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.545 * [taylor]: Taking taylor expansion of 1/2 in K 9.545 * [backup-simplify]: Simplify 1/2 into 1/2 9.545 * [taylor]: Taking taylor expansion of K in K 9.545 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify 1 into 1 9.546 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.546 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.546 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.546 * [taylor]: Taking taylor expansion of J in K 9.546 * [backup-simplify]: Simplify J into J 9.546 * [backup-simplify]: Simplify (* 1 1) into 1 9.546 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.546 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.546 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 9.546 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 9.546 * [taylor]: Taking taylor expansion of 1/16 in J 9.547 * [backup-simplify]: Simplify 1/16 into 1/16 9.547 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.547 * [taylor]: Taking taylor expansion of J in J 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (* 1 1) into 1 9.547 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 9.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 9.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [taylor]: Taking taylor expansion of 0 in J 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [taylor]: Taking taylor expansion of 0 in J 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [backup-simplify]: Simplify 1 into 1 9.550 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.550 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 9.550 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 9.550 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 9.550 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 9.550 * [taylor]: Taking taylor expansion of 1/4 in J 9.550 * [backup-simplify]: Simplify 1/4 into 1/4 9.550 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.550 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.550 * [taylor]: Taking taylor expansion of 1/4 in J 9.550 * [backup-simplify]: Simplify 1/4 into 1/4 9.550 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.550 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.550 * [taylor]: Taking taylor expansion of J in J 9.550 * [backup-simplify]: Simplify 0 into 0 9.550 * [backup-simplify]: Simplify 1 into 1 9.550 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.550 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.550 * [taylor]: Taking taylor expansion of U in J 9.550 * [backup-simplify]: Simplify U into U 9.550 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.550 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.550 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.550 * [taylor]: Taking taylor expansion of 1/2 in J 9.550 * [backup-simplify]: Simplify 1/2 into 1/2 9.550 * [taylor]: Taking taylor expansion of K in J 9.550 * [backup-simplify]: Simplify K into K 9.550 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.550 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.551 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.551 * [backup-simplify]: Simplify (- 0) into 0 9.551 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.551 * [backup-simplify]: Simplify (* 1 1) into 1 9.551 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.551 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.551 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.552 * [taylor]: Taking taylor expansion of 1 in J 9.552 * [backup-simplify]: Simplify 1 into 1 9.552 * [backup-simplify]: Simplify (+ 0 1) into 1 9.552 * [backup-simplify]: Simplify (log 1) into 0 9.552 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.553 * [backup-simplify]: Simplify (+ 0 0) into 0 9.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.554 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.554 * [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))) 9.554 * [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)))) 9.555 * [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))) 9.556 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 9.556 * [backup-simplify]: Simplify (exp 0) into 1 9.556 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 9.556 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 9.556 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 9.556 * [taylor]: Taking taylor expansion of 1/4 in K 9.556 * [backup-simplify]: Simplify 1/4 into 1/4 9.556 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.556 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.556 * [taylor]: Taking taylor expansion of 1/4 in K 9.556 * [backup-simplify]: Simplify 1/4 into 1/4 9.556 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.556 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.556 * [taylor]: Taking taylor expansion of J in K 9.556 * [backup-simplify]: Simplify J into J 9.556 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.556 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.556 * [taylor]: Taking taylor expansion of U in K 9.556 * [backup-simplify]: Simplify U into U 9.556 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.556 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.556 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.556 * [taylor]: Taking taylor expansion of 1/2 in K 9.556 * [backup-simplify]: Simplify 1/2 into 1/2 9.556 * [taylor]: Taking taylor expansion of K in K 9.556 * [backup-simplify]: Simplify 0 into 0 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.557 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.557 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.557 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.557 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.557 * [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))) 9.557 * [taylor]: Taking taylor expansion of 1 in K 9.557 * [backup-simplify]: Simplify 1 into 1 9.557 * [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)))) 9.557 * [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) 9.558 * [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)) 9.558 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 9.558 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.558 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.558 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.558 * [taylor]: Taking taylor expansion of 1/4 in U 9.558 * [backup-simplify]: Simplify 1/4 into 1/4 9.558 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.558 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.558 * [taylor]: Taking taylor expansion of 1/4 in U 9.558 * [backup-simplify]: Simplify 1/4 into 1/4 9.558 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.558 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.558 * [taylor]: Taking taylor expansion of J in U 9.558 * [backup-simplify]: Simplify J into J 9.558 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.558 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.558 * [taylor]: Taking taylor expansion of U in U 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.558 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.558 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.558 * [taylor]: Taking taylor expansion of 1/2 in U 9.559 * [backup-simplify]: Simplify 1/2 into 1/2 9.559 * [taylor]: Taking taylor expansion of K in U 9.559 * [backup-simplify]: Simplify K into K 9.559 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.559 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.559 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.559 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.559 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.559 * [backup-simplify]: Simplify (- 0) into 0 9.559 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.559 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.560 * [backup-simplify]: Simplify (* 1 1) into 1 9.560 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.560 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.560 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.560 * [taylor]: Taking taylor expansion of 1 in U 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [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))) 9.560 * [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))) 9.560 * [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)))) 9.561 * [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))) 9.561 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.561 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.561 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.561 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.561 * [taylor]: Taking taylor expansion of 1/4 in U 9.561 * [backup-simplify]: Simplify 1/4 into 1/4 9.561 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.561 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.561 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.561 * [taylor]: Taking taylor expansion of 1/4 in U 9.561 * [backup-simplify]: Simplify 1/4 into 1/4 9.561 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.561 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.561 * [taylor]: Taking taylor expansion of J in U 9.561 * [backup-simplify]: Simplify J into J 9.561 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.561 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.561 * [taylor]: Taking taylor expansion of U in U 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 1 into 1 9.561 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.562 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.562 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.562 * [taylor]: Taking taylor expansion of 1/2 in U 9.562 * [backup-simplify]: Simplify 1/2 into 1/2 9.562 * [taylor]: Taking taylor expansion of K in U 9.562 * [backup-simplify]: Simplify K into K 9.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.562 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.562 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.562 * [backup-simplify]: Simplify (- 0) into 0 9.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.562 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.562 * [backup-simplify]: Simplify (* 1 1) into 1 9.563 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.563 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.563 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.563 * [taylor]: Taking taylor expansion of 1 in U 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [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))) 9.563 * [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))) 9.564 * [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)))) 9.564 * [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))) 9.564 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.564 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.564 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 9.564 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 9.564 * [taylor]: Taking taylor expansion of 1/4 in K 9.564 * [backup-simplify]: Simplify 1/4 into 1/4 9.564 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 9.564 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 9.565 * [taylor]: Taking taylor expansion of 1/4 in K 9.565 * [backup-simplify]: Simplify 1/4 into 1/4 9.565 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 9.565 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.565 * [taylor]: Taking taylor expansion of J in K 9.565 * [backup-simplify]: Simplify J into J 9.565 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.565 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.565 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.565 * [taylor]: Taking taylor expansion of 1/2 in K 9.565 * [backup-simplify]: Simplify 1/2 into 1/2 9.565 * [taylor]: Taking taylor expansion of K in K 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 1 into 1 9.565 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.565 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.565 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.565 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.565 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.565 * [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))) 9.566 * [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)))) 9.566 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.566 * [taylor]: Taking taylor expansion of 2 in K 9.566 * [backup-simplify]: Simplify 2 into 2 9.566 * [taylor]: Taking taylor expansion of (log U) in K 9.566 * [taylor]: Taking taylor expansion of U in K 9.566 * [backup-simplify]: Simplify U into U 9.566 * [backup-simplify]: Simplify (log U) into (log U) 9.566 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.566 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.566 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.566 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.566 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.566 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.566 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.566 * [taylor]: Taking taylor expansion of 1/4 in J 9.566 * [backup-simplify]: Simplify 1/4 into 1/4 9.566 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.566 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.566 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.566 * [taylor]: Taking taylor expansion of 1/4 in J 9.566 * [backup-simplify]: Simplify 1/4 into 1/4 9.566 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.566 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.566 * [taylor]: Taking taylor expansion of J in J 9.566 * [backup-simplify]: Simplify 0 into 0 9.566 * [backup-simplify]: Simplify 1 into 1 9.567 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.567 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.567 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.567 * [taylor]: Taking taylor expansion of 1/2 in J 9.567 * [backup-simplify]: Simplify 1/2 into 1/2 9.567 * [taylor]: Taking taylor expansion of K in J 9.567 * [backup-simplify]: Simplify K into K 9.567 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.567 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.567 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.567 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.567 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.567 * [backup-simplify]: Simplify (- 0) into 0 9.567 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.567 * [backup-simplify]: Simplify (* 1 1) into 1 9.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.568 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.568 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.568 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.568 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.568 * [taylor]: Taking taylor expansion of 2 in J 9.568 * [backup-simplify]: Simplify 2 into 2 9.568 * [taylor]: Taking taylor expansion of (log U) in J 9.568 * [taylor]: Taking taylor expansion of U in J 9.568 * [backup-simplify]: Simplify U into U 9.568 * [backup-simplify]: Simplify (log U) into (log U) 9.568 * [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)))) 9.568 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.568 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.569 * [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))) 9.569 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.569 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.569 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.569 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.569 * [backup-simplify]: Simplify (+ 0) into 0 9.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.571 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.571 * [backup-simplify]: Simplify (- 0) into 0 9.571 * [backup-simplify]: Simplify (+ 0 0) into 0 9.571 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.572 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.573 * [backup-simplify]: Simplify (+ 0 0) into 0 9.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 9.574 * [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))) 9.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.575 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.575 * [taylor]: Taking taylor expansion of 0 in K 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [taylor]: Taking taylor expansion of 0 in J 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.575 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.575 * [backup-simplify]: 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 9.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 9.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.577 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.577 * [backup-simplify]: Simplify (- 0) into 0 9.578 * [backup-simplify]: Simplify (+ 0 0) into 0 9.578 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.579 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.579 * [taylor]: Taking taylor expansion of 0 in J 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.579 * [backup-simplify]: Simplify (+ 0) into 0 9.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.580 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.581 * [backup-simplify]: Simplify (- 0) into 0 9.581 * [backup-simplify]: Simplify (+ 0 0) into 0 9.581 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.581 * [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 9.582 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.583 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.583 * [backup-simplify]: Simplify (- 0) into 0 9.584 * [backup-simplify]: Simplify (+ 0 0) into 0 9.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.585 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.585 * [backup-simplify]: Simplify 0 into 0 9.585 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.587 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.587 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.588 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.589 * [backup-simplify]: Simplify (- 0) into 0 9.589 * [backup-simplify]: Simplify (+ 0 0) into 0 9.590 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.592 * [backup-simplify]: 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 9.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.594 * [backup-simplify]: Simplify (+ 0 1) into 1 9.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 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))) 9.596 * [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))) 9.598 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 9.599 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 9.599 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 9.599 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 9.599 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 9.599 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 9.599 * [taylor]: Taking taylor expansion of 1/4 in K 9.599 * [backup-simplify]: Simplify 1/4 into 1/4 9.599 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 9.599 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 9.599 * [taylor]: Taking taylor expansion of 1/4 in K 9.599 * [backup-simplify]: Simplify 1/4 into 1/4 9.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 9.599 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.599 * [taylor]: Taking taylor expansion of J in K 9.599 * [backup-simplify]: Simplify J into J 9.600 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.600 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.600 * [taylor]: Taking taylor expansion of 1/2 in K 9.600 * [backup-simplify]: Simplify 1/2 into 1/2 9.600 * [taylor]: Taking taylor expansion of K in K 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 1 into 1 9.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.600 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.601 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.601 * [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))) 9.601 * [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)))) 9.601 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.601 * [taylor]: Taking taylor expansion of 2 in K 9.601 * [backup-simplify]: Simplify 2 into 2 9.601 * [taylor]: Taking taylor expansion of (log U) in K 9.601 * [taylor]: Taking taylor expansion of U in K 9.601 * [backup-simplify]: Simplify U into U 9.601 * [backup-simplify]: Simplify (log U) into (log U) 9.601 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.601 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.602 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.602 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.602 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.602 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.603 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.603 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.603 * [taylor]: Taking taylor expansion of 1/2 in K 9.603 * [backup-simplify]: Simplify 1/2 into 1/2 9.603 * [taylor]: Taking taylor expansion of K in K 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.603 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.603 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.603 * [taylor]: Taking taylor expansion of J in K 9.603 * [backup-simplify]: Simplify J into J 9.604 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.604 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.604 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.605 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 9.605 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 9.605 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 9.605 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.605 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.605 * [taylor]: Taking taylor expansion of 1/4 in J 9.605 * [backup-simplify]: Simplify 1/4 into 1/4 9.605 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.605 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.605 * [taylor]: Taking taylor expansion of 1/4 in J 9.605 * [backup-simplify]: Simplify 1/4 into 1/4 9.605 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.605 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.605 * [taylor]: Taking taylor expansion of J in J 9.605 * [backup-simplify]: Simplify 0 into 0 9.605 * [backup-simplify]: Simplify 1 into 1 9.605 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.605 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.605 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.605 * [taylor]: Taking taylor expansion of 1/2 in J 9.605 * [backup-simplify]: Simplify 1/2 into 1/2 9.605 * [taylor]: Taking taylor expansion of K in J 9.605 * [backup-simplify]: Simplify K into K 9.605 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.605 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.605 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.606 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.606 * [backup-simplify]: Simplify (- 0) into 0 9.606 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.607 * [backup-simplify]: Simplify (* 1 1) into 1 9.607 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.607 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.607 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.607 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.607 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.607 * [taylor]: Taking taylor expansion of 2 in J 9.607 * [backup-simplify]: Simplify 2 into 2 9.607 * [taylor]: Taking taylor expansion of (log U) in J 9.607 * [taylor]: Taking taylor expansion of U in J 9.607 * [backup-simplify]: Simplify U into U 9.607 * [backup-simplify]: Simplify (log U) into (log U) 9.608 * [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)))) 9.608 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.608 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.609 * [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))) 9.609 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.609 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.609 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.609 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.609 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.609 * [taylor]: Taking taylor expansion of 1/2 in J 9.609 * [backup-simplify]: Simplify 1/2 into 1/2 9.609 * [taylor]: Taking taylor expansion of K in J 9.609 * [backup-simplify]: Simplify K into K 9.610 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.610 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.610 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.610 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.610 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.610 * [backup-simplify]: Simplify (- 0) into 0 9.610 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.610 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.610 * [taylor]: Taking taylor expansion of J in J 9.610 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify 1 into 1 9.611 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.611 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.612 * [backup-simplify]: Simplify (* 1 1) into 1 9.612 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.613 * [backup-simplify]: Simplify (+ 0) into 0 9.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.614 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.617 * [backup-simplify]: Simplify (- 0) into 0 9.617 * [backup-simplify]: Simplify (+ 0 0) into 0 9.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.618 * [backup-simplify]: Simplify (- 0) into 0 9.618 * [backup-simplify]: Simplify (+ 0 0) into 0 9.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.620 * [backup-simplify]: Simplify (+ 0) into 0 9.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.622 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.622 * [backup-simplify]: Simplify (- 0) into 0 9.622 * [backup-simplify]: Simplify (+ 0 0) into 0 9.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.623 * [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 9.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.625 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.625 * [backup-simplify]: Simplify (- 0) into 0 9.626 * [backup-simplify]: Simplify (+ 0 0) into 0 9.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.627 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.631 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.631 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.631 * [backup-simplify]: Simplify (- 0) into 0 9.632 * [backup-simplify]: Simplify (+ 0 0) into 0 9.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.633 * [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 9.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 9.635 * [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 9.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.637 * [backup-simplify]: Simplify (- 0) into 0 9.638 * [backup-simplify]: Simplify (+ 0 0) into 0 9.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.640 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.641 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.642 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [taylor]: Taking taylor expansion of 0 in J 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.647 * [backup-simplify]: 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 9.647 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 9.650 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.650 * [backup-simplify]: Simplify (- 0) into 0 9.651 * [backup-simplify]: Simplify (+ 0 0) into 0 9.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.652 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.652 * [taylor]: Taking taylor expansion of 0 in J 9.652 * [backup-simplify]: Simplify 0 into 0 9.652 * [backup-simplify]: Simplify 0 into 0 9.653 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 9.653 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 9.653 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 9.653 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 9.653 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 9.653 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 9.653 * [taylor]: Taking taylor expansion of 1/4 in J 9.653 * [backup-simplify]: Simplify 1/4 into 1/4 9.653 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.653 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.653 * [taylor]: Taking taylor expansion of 1 in J 9.653 * [backup-simplify]: Simplify 1 into 1 9.653 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.653 * [taylor]: Taking taylor expansion of 1/4 in J 9.653 * [backup-simplify]: Simplify 1/4 into 1/4 9.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.653 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.653 * [taylor]: Taking taylor expansion of J in J 9.653 * [backup-simplify]: Simplify 0 into 0 9.653 * [backup-simplify]: Simplify 1 into 1 9.653 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.653 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.653 * [taylor]: Taking taylor expansion of -1/2 in J 9.654 * [backup-simplify]: Simplify -1/2 into -1/2 9.654 * [taylor]: Taking taylor expansion of K in J 9.654 * [backup-simplify]: Simplify K into K 9.654 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.654 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.654 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.654 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.657 * [backup-simplify]: Simplify (- 0) into 0 9.657 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.658 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.658 * [taylor]: Taking taylor expansion of U in J 9.658 * [backup-simplify]: Simplify U into U 9.658 * [backup-simplify]: Simplify (* 1 1) into 1 9.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.658 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.658 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.658 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.659 * [backup-simplify]: Simplify (+ 1 0) into 1 9.659 * [backup-simplify]: Simplify (log 1) into 0 9.659 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.660 * [backup-simplify]: Simplify (+ 0 0) into 0 9.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.661 * [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))) 9.661 * [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)))) 9.662 * [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))) 9.663 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 9.663 * [backup-simplify]: Simplify (exp 0) into 1 9.663 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 9.663 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 9.663 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 9.663 * [taylor]: Taking taylor expansion of 1/4 in K 9.663 * [backup-simplify]: Simplify 1/4 into 1/4 9.663 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.663 * [taylor]: Taking taylor expansion of 1 in K 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.663 * [taylor]: Taking taylor expansion of 1/4 in K 9.663 * [backup-simplify]: Simplify 1/4 into 1/4 9.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.663 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.663 * [taylor]: Taking taylor expansion of J in K 9.663 * [backup-simplify]: Simplify J into J 9.663 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.663 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.663 * [taylor]: Taking taylor expansion of -1/2 in K 9.663 * [backup-simplify]: Simplify -1/2 into -1/2 9.663 * [taylor]: Taking taylor expansion of K in K 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.664 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.664 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.664 * [taylor]: Taking taylor expansion of U in K 9.664 * [backup-simplify]: Simplify U into U 9.664 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.664 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.664 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.664 * [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))) 9.664 * [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)))) 9.664 * [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))))) 9.665 * [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)))))) 9.665 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 9.665 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 9.665 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 9.665 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 9.665 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 9.665 * [taylor]: Taking taylor expansion of 1/4 in U 9.665 * [backup-simplify]: Simplify 1/4 into 1/4 9.665 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.665 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.665 * [taylor]: Taking taylor expansion of 1 in U 9.665 * [backup-simplify]: Simplify 1 into 1 9.665 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.665 * [taylor]: Taking taylor expansion of 1/4 in U 9.665 * [backup-simplify]: Simplify 1/4 into 1/4 9.665 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.665 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.665 * [taylor]: Taking taylor expansion of J in U 9.665 * [backup-simplify]: Simplify J into J 9.665 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.665 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.665 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.665 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.665 * [taylor]: Taking taylor expansion of -1/2 in U 9.665 * [backup-simplify]: Simplify -1/2 into -1/2 9.665 * [taylor]: Taking taylor expansion of K in U 9.665 * [backup-simplify]: Simplify K into K 9.665 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.666 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.666 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.666 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.666 * [backup-simplify]: Simplify (- 0) into 0 9.666 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.666 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.666 * [taylor]: Taking taylor expansion of U in U 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.667 * [backup-simplify]: Simplify (* 1 1) into 1 9.667 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.667 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.667 * [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))) 9.667 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.667 * [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)))) 9.668 * [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))) 9.668 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.668 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.668 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 9.668 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 9.668 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 9.668 * [taylor]: Taking taylor expansion of 1/4 in U 9.668 * [backup-simplify]: Simplify 1/4 into 1/4 9.668 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.668 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.668 * [taylor]: Taking taylor expansion of 1 in U 9.668 * [backup-simplify]: Simplify 1 into 1 9.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.668 * [taylor]: Taking taylor expansion of 1/4 in U 9.668 * [backup-simplify]: Simplify 1/4 into 1/4 9.668 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.668 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.668 * [taylor]: Taking taylor expansion of J in U 9.668 * [backup-simplify]: Simplify J into J 9.668 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.668 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.668 * [taylor]: Taking taylor expansion of -1/2 in U 9.668 * [backup-simplify]: Simplify -1/2 into -1/2 9.668 * [taylor]: Taking taylor expansion of K in U 9.668 * [backup-simplify]: Simplify K into K 9.668 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.669 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.669 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.669 * [backup-simplify]: Simplify (- 0) into 0 9.669 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.669 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.669 * [taylor]: Taking taylor expansion of U in U 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify 1 into 1 9.669 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.669 * [backup-simplify]: Simplify (* 1 1) into 1 9.670 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.670 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.670 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.670 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.670 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 9.670 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.671 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.671 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.671 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 9.671 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 9.671 * [taylor]: Taking taylor expansion of 1/4 in K 9.671 * [backup-simplify]: Simplify 1/4 into 1/4 9.671 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 9.671 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 9.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 9.671 * [taylor]: Taking taylor expansion of 1/4 in K 9.671 * [backup-simplify]: Simplify 1/4 into 1/4 9.671 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 9.671 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.671 * [taylor]: Taking taylor expansion of J in K 9.671 * [backup-simplify]: Simplify J into J 9.671 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.671 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.671 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.671 * [taylor]: Taking taylor expansion of -1/2 in K 9.671 * [backup-simplify]: Simplify -1/2 into -1/2 9.671 * [taylor]: Taking taylor expansion of K in K 9.671 * [backup-simplify]: Simplify 0 into 0 9.671 * [backup-simplify]: Simplify 1 into 1 9.672 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.672 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.672 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.672 * [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))) 9.672 * [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)))) 9.672 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.672 * [taylor]: Taking taylor expansion of 2 in K 9.672 * [backup-simplify]: Simplify 2 into 2 9.672 * [taylor]: Taking taylor expansion of (log U) in K 9.672 * [taylor]: Taking taylor expansion of U in K 9.672 * [backup-simplify]: Simplify U into U 9.672 * [backup-simplify]: Simplify (log U) into (log U) 9.672 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.672 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.673 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.673 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.673 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.673 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 9.673 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.673 * [taylor]: Taking taylor expansion of 1/4 in J 9.673 * [backup-simplify]: Simplify 1/4 into 1/4 9.673 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.673 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.673 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.673 * [taylor]: Taking taylor expansion of 1/4 in J 9.673 * [backup-simplify]: Simplify 1/4 into 1/4 9.673 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.673 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.673 * [taylor]: Taking taylor expansion of J in J 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify 1 into 1 9.673 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.673 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.673 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.673 * [taylor]: Taking taylor expansion of -1/2 in J 9.673 * [backup-simplify]: Simplify -1/2 into -1/2 9.673 * [taylor]: Taking taylor expansion of K in J 9.673 * [backup-simplify]: Simplify K into K 9.673 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.673 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.673 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.674 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.674 * [backup-simplify]: Simplify (- 0) into 0 9.674 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.674 * [backup-simplify]: Simplify (* 1 1) into 1 9.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.674 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.675 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.675 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.675 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.675 * [taylor]: Taking taylor expansion of 2 in J 9.675 * [backup-simplify]: Simplify 2 into 2 9.675 * [taylor]: Taking taylor expansion of (log U) in J 9.675 * [taylor]: Taking taylor expansion of U in J 9.675 * [backup-simplify]: Simplify U into U 9.675 * [backup-simplify]: Simplify (log U) into (log U) 9.675 * [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)))) 9.675 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.675 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.676 * [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))) 9.676 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.676 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.677 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.678 * [backup-simplify]: Simplify (+ 0) into 0 9.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.678 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.679 * [backup-simplify]: Simplify (- 0) into 0 9.679 * [backup-simplify]: Simplify (+ 0 0) into 0 9.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.680 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.680 * [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))))) into 0 9.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.681 * [backup-simplify]: Simplify (+ 0 0) into 0 9.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 9.682 * [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))) 9.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.683 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.683 * [taylor]: Taking taylor expansion of 0 in K 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [taylor]: Taking taylor expansion of 0 in J 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.684 * [backup-simplify]: 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 9.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 9.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.685 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.685 * [backup-simplify]: Simplify (- 0) into 0 9.686 * [backup-simplify]: Simplify (+ 0 0) into 0 9.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.687 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.687 * [taylor]: Taking taylor expansion of 0 in J 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.688 * [backup-simplify]: Simplify (+ 0) into 0 9.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.689 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.689 * [backup-simplify]: Simplify (- 0) into 0 9.689 * [backup-simplify]: Simplify (+ 0 0) into 0 9.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.690 * [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 9.690 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.691 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.691 * [backup-simplify]: Simplify (- 0) into 0 9.692 * [backup-simplify]: Simplify (+ 0 0) into 0 9.692 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.693 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.693 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.698 * [backup-simplify]: Simplify (- 0) into 0 9.698 * [backup-simplify]: Simplify (+ 0 0) into 0 9.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.699 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.700 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.701 * [backup-simplify]: Simplify (+ 1 0) into 1 9.703 * [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))) 9.704 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.705 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 9.706 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.706 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 9.706 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 9.706 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.706 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.706 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.706 * [taylor]: Taking taylor expansion of -1/2 in K 9.706 * [backup-simplify]: Simplify -1/2 into -1/2 9.706 * [taylor]: Taking taylor expansion of K in K 9.706 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify 1 into 1 9.707 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.707 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 9.707 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 9.707 * [taylor]: Taking taylor expansion of 1/4 in K 9.707 * [backup-simplify]: Simplify 1/4 into 1/4 9.707 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 9.707 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 9.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 9.707 * [taylor]: Taking taylor expansion of 1/4 in K 9.707 * [backup-simplify]: Simplify 1/4 into 1/4 9.707 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 9.707 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.707 * [taylor]: Taking taylor expansion of J in K 9.707 * [backup-simplify]: Simplify J into J 9.707 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.707 * [taylor]: Taking taylor expansion of -1/2 in K 9.707 * [backup-simplify]: Simplify -1/2 into -1/2 9.707 * [taylor]: Taking taylor expansion of K in K 9.707 * [backup-simplify]: Simplify 0 into 0 9.707 * [backup-simplify]: Simplify 1 into 1 9.708 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.708 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.708 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.709 * [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))) 9.709 * [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)))) 9.709 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.709 * [taylor]: Taking taylor expansion of 2 in K 9.709 * [backup-simplify]: Simplify 2 into 2 9.709 * [taylor]: Taking taylor expansion of (log U) in K 9.709 * [taylor]: Taking taylor expansion of U in K 9.709 * [backup-simplify]: Simplify U into U 9.709 * [backup-simplify]: Simplify (log U) into (log U) 9.709 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.709 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.709 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.709 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.710 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.710 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.710 * [taylor]: Taking taylor expansion of J in K 9.710 * [backup-simplify]: Simplify J into J 9.710 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.710 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.710 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.710 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.710 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 9.710 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 9.710 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.710 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.710 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.710 * [taylor]: Taking taylor expansion of -1/2 in J 9.711 * [backup-simplify]: Simplify -1/2 into -1/2 9.711 * [taylor]: Taking taylor expansion of K in J 9.711 * [backup-simplify]: Simplify K into K 9.711 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.711 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.711 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.711 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.711 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.711 * [backup-simplify]: Simplify (- 0) into 0 9.711 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.711 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 9.711 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.711 * [taylor]: Taking taylor expansion of 1/4 in J 9.711 * [backup-simplify]: Simplify 1/4 into 1/4 9.711 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.711 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.711 * [taylor]: Taking taylor expansion of 1/4 in J 9.711 * [backup-simplify]: Simplify 1/4 into 1/4 9.711 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.711 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.711 * [taylor]: Taking taylor expansion of J in J 9.711 * [backup-simplify]: Simplify 0 into 0 9.711 * [backup-simplify]: Simplify 1 into 1 9.711 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.711 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.711 * [taylor]: Taking taylor expansion of -1/2 in J 9.711 * [backup-simplify]: Simplify -1/2 into -1/2 9.711 * [taylor]: Taking taylor expansion of K in J 9.711 * [backup-simplify]: Simplify K into K 9.712 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.712 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.712 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.712 * [backup-simplify]: Simplify (- 0) into 0 9.712 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.712 * [backup-simplify]: Simplify (* 1 1) into 1 9.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.712 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.713 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.713 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.713 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.713 * [taylor]: Taking taylor expansion of 2 in J 9.713 * [backup-simplify]: Simplify 2 into 2 9.713 * [taylor]: Taking taylor expansion of (log U) in J 9.713 * [taylor]: Taking taylor expansion of U in J 9.713 * [backup-simplify]: Simplify U into U 9.713 * [backup-simplify]: Simplify (log U) into (log U) 9.713 * [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)))) 9.713 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.713 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.713 * [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))) 9.714 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.714 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.714 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.714 * [taylor]: Taking taylor expansion of J in J 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.714 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.714 * [backup-simplify]: Simplify (* 1 1) into 1 9.715 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.715 * [backup-simplify]: Simplify (+ 0) into 0 9.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.717 * [backup-simplify]: Simplify (- 0) into 0 9.717 * [backup-simplify]: Simplify (+ 0 0) into 0 9.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.717 * [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 9.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.719 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.719 * [backup-simplify]: Simplify (- 0) into 0 9.719 * [backup-simplify]: Simplify (+ 0 0) into 0 9.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.723 * [backup-simplify]: Simplify (- 0) into 0 9.723 * [backup-simplify]: Simplify (+ 0 0) into 0 9.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.723 * [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 9.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 9.725 * [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 9.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.727 * [backup-simplify]: Simplify (- 0) into 0 9.727 * [backup-simplify]: Simplify (+ 0 0) into 0 9.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.729 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.729 * [backup-simplify]: Simplify (+ 0) into 0 9.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.729 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.730 * [backup-simplify]: Simplify (- 0) into 0 9.731 * [backup-simplify]: Simplify (+ 0 0) into 0 9.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.731 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.733 * [backup-simplify]: Simplify (- 0) into 0 9.734 * [backup-simplify]: Simplify (+ 0 0) into 0 9.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.735 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 9.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.735 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 9.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 9.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [taylor]: Taking taylor expansion of 0 in J 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.739 * [backup-simplify]: 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 9.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 9.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.743 * [backup-simplify]: Simplify (- 0) into 0 9.743 * [backup-simplify]: Simplify (+ 0 0) into 0 9.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.746 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.746 * [taylor]: Taking taylor expansion of 0 in J 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 9.747 * * * [progress]: simplifying candidates 9.747 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 9.747 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 9.747 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 9.747 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 9.747 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 9.747 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 9.747 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 9.748 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 9.748 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 9.749 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))> 9.750 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 9.750 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 9.751 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 9.752 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 9.752 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 9.753 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))> 9.754 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 9.754 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 9.756 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (log (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (log (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 9.761 * * [simplify]: iteration 0: 92 enodes 9.803 * * [simplify]: iteration 1: 182 enodes 9.875 * * [simplify]: iteration 2: 492 enodes 10.035 * * [simplify]: iteration 3: 2018 enodes 10.574 * * [simplify]: iteration complete: 2018 enodes 10.574 * * [simplify]: Extracting #0: cost 35 inf + 0 10.574 * * [simplify]: Extracting #1: cost 113 inf + 3 10.576 * * [simplify]: Extracting #2: cost 296 inf + 202 10.578 * * [simplify]: Extracting #3: cost 684 inf + 1132 10.582 * * [simplify]: Extracting #4: cost 794 inf + 9520 10.589 * * [simplify]: Extracting #5: cost 655 inf + 43136 10.602 * * [simplify]: Extracting #6: cost 504 inf + 84893 10.664 * * [simplify]: Extracting #7: cost 162 inf + 206571 10.751 * * [simplify]: Extracting #8: cost 21 inf + 263158 10.812 * * [simplify]: Extracting #9: cost 0 inf + 272546 10.874 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (* (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) 1 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)) (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) -1)) 1/2 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (* (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) 1 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)) (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) -1)) 1/2 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (log (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (exp (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (* (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (fabs (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 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2)) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (* (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (fabs (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) 1 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) 1 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1))) (sqrt (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (sqrt (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) -1))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) 1 (* 1/2 (/ (/ U J) (cos (* K 1/2)))) (* 1/2 (/ (/ U J) (cos (* K 1/2)))) 1 (* 1/2 (/ (/ U J) (cos (* K 1/2)))) (* 1/2 (/ (/ U J) (cos (* K 1/2)))) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (- (log J)) (log U)))) 1/4)) (exp (* (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) 1/4)) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (- (log J)) (log U)))) 1/4)) (exp (* (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) 1/4)) 10.898 * * * [progress]: adding candidates to table 11.572 * * [progress]: iteration 4 / 4 11.572 * * * [progress]: picking best candidate 11.656 * * * * [pick]: Picked # 11.656 * * * [progress]: localizing error 11.745 * * * [progress]: generating rewritten candidates 11.745 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 11.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 2) 12.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 12.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.453 * * * [progress]: generating series expansions 12.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 12.453 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.454 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 12.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.454 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.454 * [taylor]: Taking taylor expansion of 1/4 in J 12.454 * [backup-simplify]: Simplify 1/4 into 1/4 12.454 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.454 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.454 * [taylor]: Taking taylor expansion of U in J 12.454 * [backup-simplify]: Simplify U into U 12.454 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.454 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.454 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.454 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.454 * [taylor]: Taking taylor expansion of 1/2 in J 12.454 * [backup-simplify]: Simplify 1/2 into 1/2 12.454 * [taylor]: Taking taylor expansion of K in J 12.454 * [backup-simplify]: Simplify K into K 12.454 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.454 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.454 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.454 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.454 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.455 * [backup-simplify]: Simplify (- 0) into 0 12.455 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.455 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.455 * [taylor]: Taking taylor expansion of J in J 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 1 into 1 12.456 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.456 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.456 * [backup-simplify]: Simplify (* 1 1) into 1 12.457 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.457 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.457 * [taylor]: Taking taylor expansion of 1 in J 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.457 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.458 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.458 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.459 * [backup-simplify]: Simplify (+ 0) into 0 12.459 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.461 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.462 * [backup-simplify]: Simplify (- 0) into 0 12.462 * [backup-simplify]: Simplify (+ 0 0) into 0 12.462 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.463 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.463 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.464 * [backup-simplify]: Simplify (+ 0 0) into 0 12.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.464 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.464 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.464 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.464 * [taylor]: Taking taylor expansion of 1/4 in K 12.465 * [backup-simplify]: Simplify 1/4 into 1/4 12.465 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.465 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.465 * [taylor]: Taking taylor expansion of U in K 12.465 * [backup-simplify]: Simplify U into U 12.465 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.465 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.465 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.465 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.465 * [taylor]: Taking taylor expansion of 1/2 in K 12.465 * [backup-simplify]: Simplify 1/2 into 1/2 12.465 * [taylor]: Taking taylor expansion of K in K 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 1 into 1 12.465 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.466 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.466 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.466 * [taylor]: Taking taylor expansion of J in K 12.466 * [backup-simplify]: Simplify J into J 12.466 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.467 * [backup-simplify]: Simplify (* 1 1) into 1 12.467 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.467 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.467 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.467 * [taylor]: Taking taylor expansion of 1 in K 12.467 * [backup-simplify]: Simplify 1 into 1 12.467 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.467 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.468 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.468 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.468 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.468 * [backup-simplify]: Simplify (+ 0) into 0 12.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.470 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.470 * [backup-simplify]: Simplify (+ 0 0) into 0 12.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.470 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.470 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.470 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.470 * [taylor]: Taking taylor expansion of 1/4 in U 12.471 * [backup-simplify]: Simplify 1/4 into 1/4 12.471 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.471 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.471 * [taylor]: Taking taylor expansion of U in U 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 1 into 1 12.471 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.471 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.471 * [taylor]: Taking taylor expansion of 1/2 in U 12.471 * [backup-simplify]: Simplify 1/2 into 1/2 12.471 * [taylor]: Taking taylor expansion of K in U 12.471 * [backup-simplify]: Simplify K into K 12.471 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.471 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.471 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.471 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.471 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.471 * [backup-simplify]: Simplify (- 0) into 0 12.471 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.471 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.471 * [taylor]: Taking taylor expansion of J in U 12.471 * [backup-simplify]: Simplify J into J 12.472 * [backup-simplify]: Simplify (* 1 1) into 1 12.472 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.472 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.472 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.472 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.472 * [taylor]: Taking taylor expansion of 1 in U 12.472 * [backup-simplify]: Simplify 1 into 1 12.472 * [backup-simplify]: Simplify (+ 0 1) into 1 12.472 * [backup-simplify]: Simplify (sqrt 1) into 1 12.473 * [backup-simplify]: Simplify (+ 0 0) into 0 12.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.473 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.473 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.473 * [taylor]: Taking taylor expansion of 1/4 in U 12.473 * [backup-simplify]: Simplify 1/4 into 1/4 12.473 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.473 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.473 * [taylor]: Taking taylor expansion of U in U 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 1 into 1 12.473 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.473 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.473 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.473 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.473 * [taylor]: Taking taylor expansion of 1/2 in U 12.473 * [backup-simplify]: Simplify 1/2 into 1/2 12.473 * [taylor]: Taking taylor expansion of K in U 12.473 * [backup-simplify]: Simplify K into K 12.473 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.474 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.474 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.474 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.474 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.474 * [backup-simplify]: Simplify (- 0) into 0 12.474 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.474 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.474 * [taylor]: Taking taylor expansion of J in U 12.474 * [backup-simplify]: Simplify J into J 12.475 * [backup-simplify]: Simplify (* 1 1) into 1 12.475 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.475 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.475 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.475 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.475 * [taylor]: Taking taylor expansion of 1 in U 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [backup-simplify]: Simplify (+ 0 1) into 1 12.475 * [backup-simplify]: Simplify (sqrt 1) into 1 12.476 * [backup-simplify]: Simplify (+ 0 0) into 0 12.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.476 * [taylor]: Taking taylor expansion of 1 in K 12.476 * [backup-simplify]: Simplify 1 into 1 12.476 * [taylor]: Taking taylor expansion of 1 in J 12.476 * [backup-simplify]: Simplify 1 into 1 12.476 * [taylor]: Taking taylor expansion of 0 in K 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [taylor]: Taking taylor expansion of 0 in J 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [taylor]: Taking taylor expansion of 0 in J 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify 1 into 1 12.476 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.477 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.478 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.478 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.478 * [taylor]: Taking taylor expansion of 1/8 in K 12.478 * [backup-simplify]: Simplify 1/8 into 1/8 12.478 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.478 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.478 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.478 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.478 * [taylor]: Taking taylor expansion of 1/2 in K 12.478 * [backup-simplify]: Simplify 1/2 into 1/2 12.478 * [taylor]: Taking taylor expansion of K in K 12.478 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.478 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.478 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.478 * [taylor]: Taking taylor expansion of J in K 12.479 * [backup-simplify]: Simplify J into J 12.479 * [backup-simplify]: Simplify (* 1 1) into 1 12.479 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.479 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.479 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 12.479 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 12.479 * [taylor]: Taking taylor expansion of 1/8 in J 12.479 * [backup-simplify]: Simplify 1/8 into 1/8 12.479 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.479 * [taylor]: Taking taylor expansion of J in J 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [backup-simplify]: Simplify (* 1 1) into 1 12.480 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 12.480 * [backup-simplify]: Simplify 0 into 0 12.481 * [taylor]: Taking taylor expansion of 0 in J 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [taylor]: Taking taylor expansion of 0 in J 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.481 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.481 * [backup-simplify]: Simplify (+ 0) into 0 12.482 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.483 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.483 * [backup-simplify]: Simplify (- 0) into 0 12.483 * [backup-simplify]: Simplify (+ 0 0) into 0 12.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.483 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.484 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.484 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.484 * [backup-simplify]: Simplify (+ 0 0) into 0 12.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.485 * [taylor]: Taking taylor expansion of 0 in K 12.485 * [backup-simplify]: Simplify 0 into 0 12.485 * [taylor]: Taking taylor expansion of 0 in J 12.485 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.485 * [backup-simplify]: Simplify (+ 0) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.486 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 12.486 * [taylor]: Taking taylor expansion of 0 in J 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [taylor]: Taking taylor expansion of 0 in J 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [taylor]: Taking taylor expansion of 0 in J 12.486 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.487 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.488 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 12.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.488 * [taylor]: Taking taylor expansion of 1/4 in J 12.488 * [backup-simplify]: Simplify 1/4 into 1/4 12.488 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.488 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.488 * [taylor]: Taking taylor expansion of J in J 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.488 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.488 * [taylor]: Taking taylor expansion of U in J 12.488 * [backup-simplify]: Simplify U into U 12.488 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.488 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.488 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.488 * [taylor]: Taking taylor expansion of 1/2 in J 12.488 * [backup-simplify]: Simplify 1/2 into 1/2 12.488 * [taylor]: Taking taylor expansion of K in J 12.488 * [backup-simplify]: Simplify K into K 12.488 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.488 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.488 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.488 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.488 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.489 * [backup-simplify]: Simplify (- 0) into 0 12.489 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.489 * [backup-simplify]: Simplify (* 1 1) into 1 12.489 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.489 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.489 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.489 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.489 * [taylor]: Taking taylor expansion of 1 in J 12.489 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (+ 0 1) into 1 12.490 * [backup-simplify]: Simplify (sqrt 1) into 1 12.490 * [backup-simplify]: Simplify (+ 0 0) into 0 12.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.491 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.491 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.491 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.491 * [taylor]: Taking taylor expansion of 1/4 in K 12.491 * [backup-simplify]: Simplify 1/4 into 1/4 12.491 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.491 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.491 * [taylor]: Taking taylor expansion of J in K 12.491 * [backup-simplify]: Simplify J into J 12.491 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.491 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.491 * [taylor]: Taking taylor expansion of U in K 12.491 * [backup-simplify]: Simplify U into U 12.491 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.491 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.491 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.491 * [taylor]: Taking taylor expansion of 1/2 in K 12.491 * [backup-simplify]: Simplify 1/2 into 1/2 12.491 * [taylor]: Taking taylor expansion of K in K 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.491 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.491 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.491 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.492 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.492 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.492 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.492 * [taylor]: Taking taylor expansion of 1 in K 12.492 * [backup-simplify]: Simplify 1 into 1 12.492 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.492 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.492 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.492 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.493 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.493 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.493 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.494 * [backup-simplify]: Simplify (+ 0 0) into 0 12.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.495 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.495 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.495 * [taylor]: Taking taylor expansion of 1/4 in U 12.495 * [backup-simplify]: Simplify 1/4 into 1/4 12.495 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.495 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.495 * [taylor]: Taking taylor expansion of J in U 12.495 * [backup-simplify]: Simplify J into J 12.495 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.495 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.495 * [taylor]: Taking taylor expansion of U in U 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 1 into 1 12.495 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.495 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.495 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.495 * [taylor]: Taking taylor expansion of 1/2 in U 12.495 * [backup-simplify]: Simplify 1/2 into 1/2 12.495 * [taylor]: Taking taylor expansion of K in U 12.495 * [backup-simplify]: Simplify K into K 12.495 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.495 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.495 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.496 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.496 * [backup-simplify]: Simplify (- 0) into 0 12.496 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.496 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.497 * [backup-simplify]: Simplify (* 1 1) into 1 12.497 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.497 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.497 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.497 * [taylor]: Taking taylor expansion of 1 in U 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.497 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.498 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.498 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.498 * [backup-simplify]: Simplify (+ 0) into 0 12.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.499 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.500 * [backup-simplify]: Simplify (- 0) into 0 12.501 * [backup-simplify]: Simplify (+ 0 0) into 0 12.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.502 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.503 * [backup-simplify]: Simplify (+ 0 0) into 0 12.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.504 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.504 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.504 * [taylor]: Taking taylor expansion of 1/4 in U 12.504 * [backup-simplify]: Simplify 1/4 into 1/4 12.504 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.504 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.504 * [taylor]: Taking taylor expansion of J in U 12.504 * [backup-simplify]: Simplify J into J 12.504 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.504 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.504 * [taylor]: Taking taylor expansion of U in U 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.504 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.504 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.504 * [taylor]: Taking taylor expansion of 1/2 in U 12.504 * [backup-simplify]: Simplify 1/2 into 1/2 12.504 * [taylor]: Taking taylor expansion of K in U 12.504 * [backup-simplify]: Simplify K into K 12.504 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.504 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.505 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.505 * [backup-simplify]: Simplify (- 0) into 0 12.505 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.505 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.505 * [backup-simplify]: Simplify (* 1 1) into 1 12.506 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.506 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.506 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.506 * [taylor]: Taking taylor expansion of 1 in U 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.506 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.507 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.507 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.507 * [backup-simplify]: Simplify (+ 0) into 0 12.508 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.508 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.508 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.509 * [backup-simplify]: Simplify (- 0) into 0 12.510 * [backup-simplify]: Simplify (+ 0 0) into 0 12.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.511 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.512 * [backup-simplify]: Simplify (+ 0 0) into 0 12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 12.513 * [taylor]: Taking taylor expansion of 1/2 in K 12.513 * [backup-simplify]: Simplify 1/2 into 1/2 12.513 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 12.513 * [taylor]: Taking taylor expansion of J in K 12.513 * [backup-simplify]: Simplify J into J 12.513 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.513 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.513 * [taylor]: Taking taylor expansion of 1/2 in K 12.513 * [backup-simplify]: Simplify 1/2 into 1/2 12.513 * [taylor]: Taking taylor expansion of K in K 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.513 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.514 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 12.514 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.514 * [taylor]: Taking taylor expansion of 1/2 in J 12.514 * [backup-simplify]: Simplify 1/2 into 1/2 12.514 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.514 * [taylor]: Taking taylor expansion of J in J 12.514 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify 1 into 1 12.514 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.514 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.514 * [taylor]: Taking taylor expansion of 1/2 in J 12.514 * [backup-simplify]: Simplify 1/2 into 1/2 12.514 * [taylor]: Taking taylor expansion of K in J 12.514 * [backup-simplify]: Simplify K into K 12.514 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.514 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.514 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.514 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.514 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.515 * [backup-simplify]: Simplify (- 0) into 0 12.515 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.515 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.515 * [taylor]: Taking taylor expansion of 0 in K 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [taylor]: Taking taylor expansion of 0 in J 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 12.516 * [taylor]: Taking taylor expansion of 0 in J 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.516 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.517 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.520 * [backup-simplify]: Simplify (- 0) into 0 12.520 * [backup-simplify]: Simplify (+ 0 0) into 0 12.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.523 * [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))))) into 0 12.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.525 * [backup-simplify]: Simplify (+ 0 1) into 1 12.526 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.526 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.526 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.526 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.526 * [taylor]: Taking taylor expansion of 1/2 in K 12.526 * [backup-simplify]: Simplify 1/2 into 1/2 12.526 * [taylor]: Taking taylor expansion of K in K 12.526 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.527 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.527 * [taylor]: Taking taylor expansion of J in K 12.527 * [backup-simplify]: Simplify J into J 12.527 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.527 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.527 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.527 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.527 * [taylor]: Taking taylor expansion of 1/2 in J 12.527 * [backup-simplify]: Simplify 1/2 into 1/2 12.527 * [taylor]: Taking taylor expansion of K in J 12.527 * [backup-simplify]: Simplify K into K 12.527 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.528 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.528 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.528 * [taylor]: Taking taylor expansion of J in J 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.528 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.528 * [backup-simplify]: Simplify (- 0) into 0 12.528 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.528 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.529 * [backup-simplify]: Simplify (+ 0) into 0 12.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.531 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify (+ 0 0) into 0 12.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [taylor]: Taking taylor expansion of 0 in J 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 12.534 * [taylor]: Taking taylor expansion of 0 in J 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify (+ 0) into 0 12.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.537 * [backup-simplify]: Simplify (- 0) into 0 12.537 * [backup-simplify]: Simplify (+ 0 0) into 0 12.538 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.538 * [backup-simplify]: Simplify 0 into 0 12.538 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.539 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.539 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 12.539 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.539 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.539 * [taylor]: Taking taylor expansion of 1 in J 12.539 * [backup-simplify]: Simplify 1 into 1 12.539 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.539 * [taylor]: Taking taylor expansion of 1/4 in J 12.539 * [backup-simplify]: Simplify 1/4 into 1/4 12.539 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.540 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.540 * [taylor]: Taking taylor expansion of J in J 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.540 * [taylor]: Taking taylor expansion of -1/2 in J 12.540 * [backup-simplify]: Simplify -1/2 into -1/2 12.540 * [taylor]: Taking taylor expansion of K in J 12.540 * [backup-simplify]: Simplify K into K 12.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.540 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.540 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.541 * [backup-simplify]: Simplify (- 0) into 0 12.541 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.541 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.541 * [taylor]: Taking taylor expansion of U in J 12.541 * [backup-simplify]: Simplify U into U 12.541 * [backup-simplify]: Simplify (* 1 1) into 1 12.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.541 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.542 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.542 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.542 * [backup-simplify]: Simplify (+ 1 0) into 1 12.543 * [backup-simplify]: Simplify (sqrt 1) into 1 12.543 * [backup-simplify]: Simplify (+ 0 0) into 0 12.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.544 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.544 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.544 * [taylor]: Taking taylor expansion of 1 in K 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.544 * [taylor]: Taking taylor expansion of 1/4 in K 12.544 * [backup-simplify]: Simplify 1/4 into 1/4 12.544 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.544 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.544 * [taylor]: Taking taylor expansion of J in K 12.544 * [backup-simplify]: Simplify J into J 12.544 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.544 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.544 * [taylor]: Taking taylor expansion of -1/2 in K 12.544 * [backup-simplify]: Simplify -1/2 into -1/2 12.544 * [taylor]: Taking taylor expansion of K in K 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.549 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.549 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.549 * [taylor]: Taking taylor expansion of U in K 12.549 * [backup-simplify]: Simplify U into U 12.549 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.549 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.549 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.550 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.550 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.550 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.550 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.550 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.550 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.551 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.551 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.552 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.552 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.553 * [taylor]: Taking taylor expansion of 1 in U 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.553 * [taylor]: Taking taylor expansion of 1/4 in U 12.553 * [backup-simplify]: Simplify 1/4 into 1/4 12.553 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.553 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.553 * [taylor]: Taking taylor expansion of J in U 12.553 * [backup-simplify]: Simplify J into J 12.553 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.553 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.553 * [taylor]: Taking taylor expansion of -1/2 in U 12.553 * [backup-simplify]: Simplify -1/2 into -1/2 12.553 * [taylor]: Taking taylor expansion of K in U 12.553 * [backup-simplify]: Simplify K into K 12.553 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.553 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.553 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.553 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.553 * [backup-simplify]: Simplify (- 0) into 0 12.553 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.553 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.553 * [taylor]: Taking taylor expansion of U in U 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.554 * [backup-simplify]: Simplify (* 1 1) into 1 12.554 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.554 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.554 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.554 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.554 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.554 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.555 * [backup-simplify]: Simplify (+ 0) into 0 12.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.557 * [backup-simplify]: Simplify (- 0) into 0 12.557 * [backup-simplify]: Simplify (+ 0 0) into 0 12.557 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.557 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.558 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.558 * [backup-simplify]: Simplify (+ 0 0) into 0 12.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.558 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.558 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.558 * [taylor]: Taking taylor expansion of 1 in U 12.558 * [backup-simplify]: Simplify 1 into 1 12.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.558 * [taylor]: Taking taylor expansion of 1/4 in U 12.558 * [backup-simplify]: Simplify 1/4 into 1/4 12.558 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.559 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.559 * [taylor]: Taking taylor expansion of J in U 12.559 * [backup-simplify]: Simplify J into J 12.559 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.559 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.559 * [taylor]: Taking taylor expansion of -1/2 in U 12.559 * [backup-simplify]: Simplify -1/2 into -1/2 12.559 * [taylor]: Taking taylor expansion of K in U 12.559 * [backup-simplify]: Simplify K into K 12.559 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.559 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.559 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.559 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.559 * [backup-simplify]: Simplify (- 0) into 0 12.559 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.559 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.559 * [taylor]: Taking taylor expansion of U in U 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 1 into 1 12.559 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.560 * [backup-simplify]: Simplify (* 1 1) into 1 12.560 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.560 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.560 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.560 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.560 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.560 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.561 * [backup-simplify]: Simplify (+ 0) into 0 12.561 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.561 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.562 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.562 * [backup-simplify]: Simplify (- 0) into 0 12.563 * [backup-simplify]: Simplify (+ 0 0) into 0 12.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.563 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.563 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.564 * [backup-simplify]: Simplify (+ 0 0) into 0 12.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 12.564 * [taylor]: Taking taylor expansion of 1/2 in K 12.564 * [backup-simplify]: Simplify 1/2 into 1/2 12.564 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 12.564 * [taylor]: Taking taylor expansion of J in K 12.564 * [backup-simplify]: Simplify J into J 12.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.564 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.564 * [taylor]: Taking taylor expansion of -1/2 in K 12.564 * [backup-simplify]: Simplify -1/2 into -1/2 12.564 * [taylor]: Taking taylor expansion of K in K 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 1 into 1 12.565 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.565 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.565 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 12.565 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.565 * [taylor]: Taking taylor expansion of 1/2 in J 12.565 * [backup-simplify]: Simplify 1/2 into 1/2 12.565 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.565 * [taylor]: Taking taylor expansion of J in J 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 1 into 1 12.565 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.565 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.565 * [taylor]: Taking taylor expansion of -1/2 in J 12.565 * [backup-simplify]: Simplify -1/2 into -1/2 12.565 * [taylor]: Taking taylor expansion of K in J 12.565 * [backup-simplify]: Simplify K into K 12.565 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.565 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.565 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.565 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.565 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.566 * [backup-simplify]: Simplify (- 0) into 0 12.566 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.566 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.566 * [taylor]: Taking taylor expansion of 0 in K 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [taylor]: Taking taylor expansion of 0 in J 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 12.566 * [taylor]: Taking taylor expansion of 0 in J 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.566 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.567 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.569 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.569 * [backup-simplify]: Simplify (- 0) into 0 12.570 * [backup-simplify]: Simplify (+ 0 0) into 0 12.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.571 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.571 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.572 * [backup-simplify]: Simplify (+ 1 0) into 1 12.572 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.572 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 12.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.572 * [taylor]: Taking taylor expansion of -1/2 in K 12.572 * [backup-simplify]: Simplify -1/2 into -1/2 12.572 * [taylor]: Taking taylor expansion of K in K 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 1 into 1 12.573 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.573 * [taylor]: Taking taylor expansion of J in K 12.573 * [backup-simplify]: Simplify J into J 12.573 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 12.573 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.573 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.573 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.573 * [taylor]: Taking taylor expansion of -1/2 in J 12.573 * [backup-simplify]: Simplify -1/2 into -1/2 12.573 * [taylor]: Taking taylor expansion of K in J 12.573 * [backup-simplify]: Simplify K into K 12.573 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.573 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.573 * [taylor]: Taking taylor expansion of J in J 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 1 into 1 12.573 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.573 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.573 * [backup-simplify]: Simplify (- 0) into 0 12.573 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.574 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.574 * [backup-simplify]: Simplify (+ 0) into 0 12.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.574 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.575 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.575 * [backup-simplify]: Simplify (- 0) into 0 12.575 * [backup-simplify]: Simplify (+ 0 0) into 0 12.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [taylor]: Taking taylor expansion of 0 in J 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 12.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 12.577 * [taylor]: Taking taylor expansion of 0 in J 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify (+ 0) into 0 12.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.579 * [backup-simplify]: Simplify (- 0) into 0 12.579 * [backup-simplify]: Simplify (+ 0 0) into 0 12.579 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.580 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 2) 12.580 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.580 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 12.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.580 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.580 * [taylor]: Taking taylor expansion of 1/4 in J 12.580 * [backup-simplify]: Simplify 1/4 into 1/4 12.580 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.580 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.580 * [taylor]: Taking taylor expansion of U in J 12.580 * [backup-simplify]: Simplify U into U 12.580 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.580 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.580 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.580 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.580 * [taylor]: Taking taylor expansion of 1/2 in J 12.580 * [backup-simplify]: Simplify 1/2 into 1/2 12.580 * [taylor]: Taking taylor expansion of K in J 12.580 * [backup-simplify]: Simplify K into K 12.580 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.580 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.580 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.581 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.581 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.581 * [backup-simplify]: Simplify (- 0) into 0 12.581 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.581 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.581 * [taylor]: Taking taylor expansion of J in J 12.581 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify 1 into 1 12.581 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.581 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.582 * [backup-simplify]: Simplify (* 1 1) into 1 12.582 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.582 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.582 * [taylor]: Taking taylor expansion of 1 in J 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.582 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.583 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.583 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.584 * [backup-simplify]: Simplify (+ 0) into 0 12.584 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.586 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.587 * [backup-simplify]: Simplify (- 0) into 0 12.587 * [backup-simplify]: Simplify (+ 0 0) into 0 12.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.588 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.588 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.589 * [backup-simplify]: Simplify (+ 0 0) into 0 12.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.590 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.590 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.590 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.590 * [taylor]: Taking taylor expansion of 1/4 in K 12.590 * [backup-simplify]: Simplify 1/4 into 1/4 12.590 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.590 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.590 * [taylor]: Taking taylor expansion of U in K 12.590 * [backup-simplify]: Simplify U into U 12.590 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.590 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.590 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.590 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.590 * [taylor]: Taking taylor expansion of 1/2 in K 12.590 * [backup-simplify]: Simplify 1/2 into 1/2 12.590 * [taylor]: Taking taylor expansion of K in K 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.591 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.591 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.591 * [taylor]: Taking taylor expansion of J in K 12.591 * [backup-simplify]: Simplify J into J 12.591 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.592 * [backup-simplify]: Simplify (* 1 1) into 1 12.592 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.592 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.592 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.592 * [taylor]: Taking taylor expansion of 1 in K 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.592 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.593 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.593 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.593 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.593 * [backup-simplify]: Simplify (+ 0) into 0 12.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.595 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.595 * [backup-simplify]: Simplify (+ 0 0) into 0 12.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.596 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.596 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.596 * [taylor]: Taking taylor expansion of 1/4 in U 12.596 * [backup-simplify]: Simplify 1/4 into 1/4 12.596 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.596 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.596 * [taylor]: Taking taylor expansion of U in U 12.596 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify 1 into 1 12.596 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.596 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.596 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.596 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.596 * [taylor]: Taking taylor expansion of 1/2 in U 12.596 * [backup-simplify]: Simplify 1/2 into 1/2 12.596 * [taylor]: Taking taylor expansion of K in U 12.596 * [backup-simplify]: Simplify K into K 12.596 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.596 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.597 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.597 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.597 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.597 * [backup-simplify]: Simplify (- 0) into 0 12.597 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.597 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.597 * [taylor]: Taking taylor expansion of J in U 12.597 * [backup-simplify]: Simplify J into J 12.598 * [backup-simplify]: Simplify (* 1 1) into 1 12.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.598 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.598 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.598 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.598 * [taylor]: Taking taylor expansion of 1 in U 12.598 * [backup-simplify]: Simplify 1 into 1 12.599 * [backup-simplify]: Simplify (+ 0 1) into 1 12.599 * [backup-simplify]: Simplify (sqrt 1) into 1 12.599 * [backup-simplify]: Simplify (+ 0 0) into 0 12.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.600 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.600 * [taylor]: Taking taylor expansion of 1/4 in U 12.600 * [backup-simplify]: Simplify 1/4 into 1/4 12.600 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.600 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.600 * [taylor]: Taking taylor expansion of U in U 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 1 into 1 12.601 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.601 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.601 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.601 * [taylor]: Taking taylor expansion of 1/2 in U 12.601 * [backup-simplify]: Simplify 1/2 into 1/2 12.601 * [taylor]: Taking taylor expansion of K in U 12.601 * [backup-simplify]: Simplify K into K 12.601 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.601 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.601 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.601 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.601 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.602 * [backup-simplify]: Simplify (- 0) into 0 12.602 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.602 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.602 * [taylor]: Taking taylor expansion of J in U 12.602 * [backup-simplify]: Simplify J into J 12.602 * [backup-simplify]: Simplify (* 1 1) into 1 12.602 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.602 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.602 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.603 * [taylor]: Taking taylor expansion of 1 in U 12.603 * [backup-simplify]: Simplify 1 into 1 12.603 * [backup-simplify]: Simplify (+ 0 1) into 1 12.604 * [backup-simplify]: Simplify (sqrt 1) into 1 12.604 * [backup-simplify]: Simplify (+ 0 0) into 0 12.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.605 * [taylor]: Taking taylor expansion of 1 in K 12.605 * [backup-simplify]: Simplify 1 into 1 12.605 * [taylor]: Taking taylor expansion of 1 in J 12.605 * [backup-simplify]: Simplify 1 into 1 12.605 * [taylor]: Taking taylor expansion of 0 in K 12.605 * [backup-simplify]: Simplify 0 into 0 12.605 * [taylor]: Taking taylor expansion of 0 in J 12.605 * [backup-simplify]: Simplify 0 into 0 12.605 * [taylor]: Taking taylor expansion of 0 in J 12.605 * [backup-simplify]: Simplify 0 into 0 12.605 * [backup-simplify]: Simplify 1 into 1 12.605 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.606 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.607 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.607 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.607 * [taylor]: Taking taylor expansion of 1/8 in K 12.607 * [backup-simplify]: Simplify 1/8 into 1/8 12.607 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.607 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.607 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.607 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.607 * [taylor]: Taking taylor expansion of 1/2 in K 12.607 * [backup-simplify]: Simplify 1/2 into 1/2 12.608 * [taylor]: Taking taylor expansion of K in K 12.608 * [backup-simplify]: Simplify 0 into 0 12.608 * [backup-simplify]: Simplify 1 into 1 12.608 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.609 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.609 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.609 * [taylor]: Taking taylor expansion of J in K 12.609 * [backup-simplify]: Simplify J into J 12.610 * [backup-simplify]: Simplify (* 1 1) into 1 12.610 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.610 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.610 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 12.610 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 12.610 * [taylor]: Taking taylor expansion of 1/8 in J 12.610 * [backup-simplify]: Simplify 1/8 into 1/8 12.610 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.610 * [taylor]: Taking taylor expansion of J in J 12.610 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify 1 into 1 12.610 * [backup-simplify]: Simplify (* 1 1) into 1 12.611 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [taylor]: Taking taylor expansion of 0 in J 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [taylor]: Taking taylor expansion of 0 in J 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.614 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.614 * [backup-simplify]: Simplify (+ 0) into 0 12.615 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.616 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.617 * [backup-simplify]: Simplify (- 0) into 0 12.617 * [backup-simplify]: Simplify (+ 0 0) into 0 12.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.618 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.618 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.619 * [backup-simplify]: Simplify (+ 0 0) into 0 12.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.620 * [taylor]: Taking taylor expansion of 0 in K 12.620 * [backup-simplify]: Simplify 0 into 0 12.620 * [taylor]: Taking taylor expansion of 0 in J 12.620 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.621 * [backup-simplify]: Simplify (+ 0) into 0 12.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.622 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 12.622 * [taylor]: Taking taylor expansion of 0 in J 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [taylor]: Taking taylor expansion of 0 in J 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [taylor]: Taking taylor expansion of 0 in J 12.622 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.625 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 12.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.625 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.625 * [taylor]: Taking taylor expansion of 1/4 in J 12.625 * [backup-simplify]: Simplify 1/4 into 1/4 12.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.625 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.625 * [taylor]: Taking taylor expansion of J in J 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.625 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.625 * [taylor]: Taking taylor expansion of U in J 12.625 * [backup-simplify]: Simplify U into U 12.625 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.625 * [taylor]: Taking taylor expansion of 1/2 in J 12.625 * [backup-simplify]: Simplify 1/2 into 1/2 12.625 * [taylor]: Taking taylor expansion of K in J 12.625 * [backup-simplify]: Simplify K into K 12.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.626 * [backup-simplify]: Simplify (- 0) into 0 12.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.626 * [backup-simplify]: Simplify (* 1 1) into 1 12.626 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.627 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.627 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.627 * [taylor]: Taking taylor expansion of 1 in J 12.627 * [backup-simplify]: Simplify 1 into 1 12.627 * [backup-simplify]: Simplify (+ 0 1) into 1 12.627 * [backup-simplify]: Simplify (sqrt 1) into 1 12.627 * [backup-simplify]: Simplify (+ 0 0) into 0 12.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.628 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.628 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.628 * [taylor]: Taking taylor expansion of 1/4 in K 12.628 * [backup-simplify]: Simplify 1/4 into 1/4 12.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.628 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.628 * [taylor]: Taking taylor expansion of J in K 12.628 * [backup-simplify]: Simplify J into J 12.628 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.628 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.628 * [taylor]: Taking taylor expansion of U in K 12.628 * [backup-simplify]: Simplify U into U 12.628 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.628 * [taylor]: Taking taylor expansion of 1/2 in K 12.628 * [backup-simplify]: Simplify 1/2 into 1/2 12.628 * [taylor]: Taking taylor expansion of K in K 12.628 * [backup-simplify]: Simplify 0 into 0 12.628 * [backup-simplify]: Simplify 1 into 1 12.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.629 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.629 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.629 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.629 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.629 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.629 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.629 * [taylor]: Taking taylor expansion of 1 in K 12.629 * [backup-simplify]: Simplify 1 into 1 12.629 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.629 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.630 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.630 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.630 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.630 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.630 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.631 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.631 * [backup-simplify]: Simplify (+ 0 0) into 0 12.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.631 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.631 * [taylor]: Taking taylor expansion of 1/4 in U 12.631 * [backup-simplify]: Simplify 1/4 into 1/4 12.631 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.631 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.631 * [taylor]: Taking taylor expansion of J in U 12.631 * [backup-simplify]: Simplify J into J 12.631 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.631 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.631 * [taylor]: Taking taylor expansion of U in U 12.631 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify 1 into 1 12.631 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.632 * [taylor]: Taking taylor expansion of 1/2 in U 12.632 * [backup-simplify]: Simplify 1/2 into 1/2 12.632 * [taylor]: Taking taylor expansion of K in U 12.632 * [backup-simplify]: Simplify K into K 12.632 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.632 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.632 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.632 * [backup-simplify]: Simplify (- 0) into 0 12.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.632 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.632 * [backup-simplify]: Simplify (* 1 1) into 1 12.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.633 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.633 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.633 * [taylor]: Taking taylor expansion of 1 in U 12.633 * [backup-simplify]: Simplify 1 into 1 12.633 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.633 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.633 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.633 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.633 * [backup-simplify]: Simplify (+ 0) into 0 12.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.635 * [backup-simplify]: Simplify (- 0) into 0 12.635 * [backup-simplify]: Simplify (+ 0 0) into 0 12.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.636 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.637 * [backup-simplify]: Simplify (+ 0 0) into 0 12.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.637 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.637 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.637 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.637 * [taylor]: Taking taylor expansion of 1/4 in U 12.637 * [backup-simplify]: Simplify 1/4 into 1/4 12.637 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.637 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.637 * [taylor]: Taking taylor expansion of J in U 12.637 * [backup-simplify]: Simplify J into J 12.637 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.637 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.637 * [taylor]: Taking taylor expansion of U in U 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify 1 into 1 12.637 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.637 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.637 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.637 * [taylor]: Taking taylor expansion of 1/2 in U 12.637 * [backup-simplify]: Simplify 1/2 into 1/2 12.637 * [taylor]: Taking taylor expansion of K in U 12.637 * [backup-simplify]: Simplify K into K 12.637 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.637 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.637 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.637 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.638 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.638 * [backup-simplify]: Simplify (- 0) into 0 12.638 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.638 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.638 * [backup-simplify]: Simplify (* 1 1) into 1 12.638 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.638 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.638 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.638 * [taylor]: Taking taylor expansion of 1 in U 12.638 * [backup-simplify]: Simplify 1 into 1 12.639 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.639 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.639 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.639 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.639 * [backup-simplify]: Simplify (+ 0) into 0 12.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.641 * [backup-simplify]: Simplify (- 0) into 0 12.641 * [backup-simplify]: Simplify (+ 0 0) into 0 12.641 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.642 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.643 * [backup-simplify]: Simplify (+ 0 0) into 0 12.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 12.643 * [taylor]: Taking taylor expansion of 1/2 in K 12.643 * [backup-simplify]: Simplify 1/2 into 1/2 12.643 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 12.643 * [taylor]: Taking taylor expansion of J in K 12.643 * [backup-simplify]: Simplify J into J 12.643 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.643 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.643 * [taylor]: Taking taylor expansion of 1/2 in K 12.643 * [backup-simplify]: Simplify 1/2 into 1/2 12.643 * [taylor]: Taking taylor expansion of K in K 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.643 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.643 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 12.643 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.644 * [taylor]: Taking taylor expansion of 1/2 in J 12.644 * [backup-simplify]: Simplify 1/2 into 1/2 12.644 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.644 * [taylor]: Taking taylor expansion of J in J 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 1 into 1 12.644 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.644 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.644 * [taylor]: Taking taylor expansion of 1/2 in J 12.644 * [backup-simplify]: Simplify 1/2 into 1/2 12.644 * [taylor]: Taking taylor expansion of K in J 12.644 * [backup-simplify]: Simplify K into K 12.644 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.644 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.644 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.644 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.644 * [backup-simplify]: Simplify (- 0) into 0 12.644 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.644 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.644 * [taylor]: Taking taylor expansion of 0 in K 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [taylor]: Taking taylor expansion of 0 in J 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 12.645 * [taylor]: Taking taylor expansion of 0 in J 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.645 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.646 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.647 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.648 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.648 * [backup-simplify]: Simplify (- 0) into 0 12.648 * [backup-simplify]: Simplify (+ 0 0) into 0 12.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.650 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.651 * [backup-simplify]: Simplify (+ 0 1) into 1 12.651 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.651 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.651 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.651 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.651 * [taylor]: Taking taylor expansion of 1/2 in K 12.651 * [backup-simplify]: Simplify 1/2 into 1/2 12.651 * [taylor]: Taking taylor expansion of K in K 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify 1 into 1 12.652 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.652 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.652 * [taylor]: Taking taylor expansion of J in K 12.652 * [backup-simplify]: Simplify J into J 12.652 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.652 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.652 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.652 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.652 * [taylor]: Taking taylor expansion of 1/2 in J 12.652 * [backup-simplify]: Simplify 1/2 into 1/2 12.652 * [taylor]: Taking taylor expansion of K in J 12.652 * [backup-simplify]: Simplify K into K 12.652 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.652 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.652 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.652 * [taylor]: Taking taylor expansion of J in J 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.652 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.652 * [backup-simplify]: Simplify (- 0) into 0 12.652 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.652 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.653 * [backup-simplify]: Simplify (+ 0) into 0 12.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.655 * [backup-simplify]: Simplify (- 0) into 0 12.655 * [backup-simplify]: Simplify (+ 0 0) into 0 12.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [taylor]: Taking taylor expansion of 0 in J 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.657 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 12.658 * [taylor]: Taking taylor expansion of 0 in J 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify (+ 0) into 0 12.659 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.660 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.660 * [backup-simplify]: Simplify (- 0) into 0 12.661 * [backup-simplify]: Simplify (+ 0 0) into 0 12.661 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.662 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.663 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 12.663 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.663 * [taylor]: Taking taylor expansion of 1 in J 12.663 * [backup-simplify]: Simplify 1 into 1 12.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.663 * [taylor]: Taking taylor expansion of 1/4 in J 12.663 * [backup-simplify]: Simplify 1/4 into 1/4 12.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.663 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.663 * [taylor]: Taking taylor expansion of J in J 12.663 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify 1 into 1 12.663 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.663 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.663 * [taylor]: Taking taylor expansion of -1/2 in J 12.663 * [backup-simplify]: Simplify -1/2 into -1/2 12.663 * [taylor]: Taking taylor expansion of K in J 12.663 * [backup-simplify]: Simplify K into K 12.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.663 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.664 * [backup-simplify]: Simplify (- 0) into 0 12.664 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.664 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.664 * [taylor]: Taking taylor expansion of U in J 12.664 * [backup-simplify]: Simplify U into U 12.669 * [backup-simplify]: Simplify (* 1 1) into 1 12.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.669 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.669 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.670 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.671 * [backup-simplify]: Simplify (+ 1 0) into 1 12.671 * [backup-simplify]: Simplify (sqrt 1) into 1 12.671 * [backup-simplify]: Simplify (+ 0 0) into 0 12.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.672 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.672 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.672 * [taylor]: Taking taylor expansion of 1 in K 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.672 * [taylor]: Taking taylor expansion of 1/4 in K 12.672 * [backup-simplify]: Simplify 1/4 into 1/4 12.672 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.673 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.673 * [taylor]: Taking taylor expansion of J in K 12.673 * [backup-simplify]: Simplify J into J 12.673 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.673 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.673 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.673 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.673 * [taylor]: Taking taylor expansion of -1/2 in K 12.673 * [backup-simplify]: Simplify -1/2 into -1/2 12.673 * [taylor]: Taking taylor expansion of K in K 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify 1 into 1 12.673 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.673 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.673 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.673 * [taylor]: Taking taylor expansion of U in K 12.673 * [backup-simplify]: Simplify U into U 12.674 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.674 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.674 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.674 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.674 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.675 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.675 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.675 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.675 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.676 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.676 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.677 * [backup-simplify]: Simplify (+ 0 0) into 0 12.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.678 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.678 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.678 * [taylor]: Taking taylor expansion of 1 in U 12.678 * [backup-simplify]: Simplify 1 into 1 12.678 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.678 * [taylor]: Taking taylor expansion of 1/4 in U 12.678 * [backup-simplify]: Simplify 1/4 into 1/4 12.678 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.678 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.678 * [taylor]: Taking taylor expansion of J in U 12.678 * [backup-simplify]: Simplify J into J 12.678 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.678 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.678 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.678 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.678 * [taylor]: Taking taylor expansion of -1/2 in U 12.678 * [backup-simplify]: Simplify -1/2 into -1/2 12.678 * [taylor]: Taking taylor expansion of K in U 12.678 * [backup-simplify]: Simplify K into K 12.679 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.679 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.679 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.679 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.679 * [backup-simplify]: Simplify (- 0) into 0 12.679 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.679 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.679 * [taylor]: Taking taylor expansion of U in U 12.679 * [backup-simplify]: Simplify 0 into 0 12.679 * [backup-simplify]: Simplify 1 into 1 12.680 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.680 * [backup-simplify]: Simplify (* 1 1) into 1 12.680 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.680 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.681 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.681 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.681 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.681 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.682 * [backup-simplify]: Simplify (+ 0) into 0 12.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.684 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.685 * [backup-simplify]: Simplify (- 0) into 0 12.685 * [backup-simplify]: Simplify (+ 0 0) into 0 12.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.686 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.686 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.687 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.688 * [backup-simplify]: Simplify (+ 0 0) into 0 12.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.688 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.688 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.688 * [taylor]: Taking taylor expansion of 1 in U 12.688 * [backup-simplify]: Simplify 1 into 1 12.688 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.688 * [taylor]: Taking taylor expansion of 1/4 in U 12.688 * [backup-simplify]: Simplify 1/4 into 1/4 12.688 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.688 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.688 * [taylor]: Taking taylor expansion of J in U 12.688 * [backup-simplify]: Simplify J into J 12.688 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.688 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.688 * [taylor]: Taking taylor expansion of -1/2 in U 12.688 * [backup-simplify]: Simplify -1/2 into -1/2 12.688 * [taylor]: Taking taylor expansion of K in U 12.688 * [backup-simplify]: Simplify K into K 12.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.689 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.689 * [backup-simplify]: Simplify (- 0) into 0 12.689 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.689 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.689 * [taylor]: Taking taylor expansion of U in U 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 1 into 1 12.690 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.690 * [backup-simplify]: Simplify (* 1 1) into 1 12.690 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.690 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.691 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.691 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.691 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.691 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.693 * [backup-simplify]: Simplify (+ 0) into 0 12.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.695 * [backup-simplify]: Simplify (- 0) into 0 12.696 * [backup-simplify]: Simplify (+ 0 0) into 0 12.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.697 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.697 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.697 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.698 * [backup-simplify]: Simplify (+ 0 0) into 0 12.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 12.698 * [taylor]: Taking taylor expansion of 1/2 in K 12.698 * [backup-simplify]: Simplify 1/2 into 1/2 12.698 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 12.698 * [taylor]: Taking taylor expansion of J in K 12.698 * [backup-simplify]: Simplify J into J 12.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.698 * [taylor]: Taking taylor expansion of -1/2 in K 12.698 * [backup-simplify]: Simplify -1/2 into -1/2 12.698 * [taylor]: Taking taylor expansion of K in K 12.698 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify 1 into 1 12.698 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.699 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 12.699 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.699 * [taylor]: Taking taylor expansion of 1/2 in J 12.699 * [backup-simplify]: Simplify 1/2 into 1/2 12.699 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.699 * [taylor]: Taking taylor expansion of J in J 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify 1 into 1 12.699 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.699 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.699 * [taylor]: Taking taylor expansion of -1/2 in J 12.699 * [backup-simplify]: Simplify -1/2 into -1/2 12.699 * [taylor]: Taking taylor expansion of K in J 12.699 * [backup-simplify]: Simplify K into K 12.699 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.699 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.699 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.699 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.699 * [backup-simplify]: Simplify (- 0) into 0 12.699 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.699 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.699 * [taylor]: Taking taylor expansion of 0 in K 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [taylor]: Taking taylor expansion of 0 in J 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 12.700 * [taylor]: Taking taylor expansion of 0 in J 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.700 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.701 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.703 * [backup-simplify]: Simplify (- 0) into 0 12.704 * [backup-simplify]: Simplify (+ 0 0) into 0 12.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.705 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.706 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.707 * [backup-simplify]: Simplify (+ 1 0) into 1 12.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.707 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 12.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.707 * [taylor]: Taking taylor expansion of -1/2 in K 12.707 * [backup-simplify]: Simplify -1/2 into -1/2 12.707 * [taylor]: Taking taylor expansion of K in K 12.707 * [backup-simplify]: Simplify 0 into 0 12.707 * [backup-simplify]: Simplify 1 into 1 12.708 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.708 * [taylor]: Taking taylor expansion of J in K 12.708 * [backup-simplify]: Simplify J into J 12.708 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 12.708 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.708 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.708 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.708 * [taylor]: Taking taylor expansion of -1/2 in J 12.708 * [backup-simplify]: Simplify -1/2 into -1/2 12.708 * [taylor]: Taking taylor expansion of K in J 12.708 * [backup-simplify]: Simplify K into K 12.708 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.708 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.708 * [taylor]: Taking taylor expansion of J in J 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify 1 into 1 12.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.708 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.709 * [backup-simplify]: Simplify (- 0) into 0 12.709 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.709 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.709 * [backup-simplify]: Simplify (+ 0) into 0 12.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.710 * [backup-simplify]: Simplify (- 0) into 0 12.711 * [backup-simplify]: Simplify (+ 0 0) into 0 12.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [taylor]: Taking taylor expansion of 0 in J 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 12.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 12.712 * [taylor]: Taking taylor expansion of 0 in J 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 0 into 0 12.713 * [backup-simplify]: Simplify (+ 0) into 0 12.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.713 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.713 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.714 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.714 * [backup-simplify]: Simplify (- 0) into 0 12.714 * [backup-simplify]: Simplify (+ 0 0) into 0 12.714 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.715 * [backup-simplify]: Simplify 0 into 0 12.715 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 12.715 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.715 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 12.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.715 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.715 * [taylor]: Taking taylor expansion of 1/4 in J 12.715 * [backup-simplify]: Simplify 1/4 into 1/4 12.715 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.715 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.715 * [taylor]: Taking taylor expansion of U in J 12.715 * [backup-simplify]: Simplify U into U 12.715 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.715 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.716 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.716 * [taylor]: Taking taylor expansion of 1/2 in J 12.716 * [backup-simplify]: Simplify 1/2 into 1/2 12.716 * [taylor]: Taking taylor expansion of K in J 12.716 * [backup-simplify]: Simplify K into K 12.716 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.716 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.716 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.716 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.716 * [backup-simplify]: Simplify (- 0) into 0 12.716 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.716 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.716 * [taylor]: Taking taylor expansion of J in J 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.717 * [backup-simplify]: Simplify (* 1 1) into 1 12.717 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.717 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.717 * [taylor]: Taking taylor expansion of 1 in J 12.717 * [backup-simplify]: Simplify 1 into 1 12.717 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.717 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.717 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.717 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.718 * [backup-simplify]: Simplify (+ 0) into 0 12.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.719 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.720 * [backup-simplify]: Simplify (- 0) into 0 12.720 * [backup-simplify]: Simplify (+ 0 0) into 0 12.720 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.720 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.720 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.721 * [backup-simplify]: Simplify (+ 0 0) into 0 12.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.721 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.721 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.721 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.721 * [taylor]: Taking taylor expansion of 1/4 in K 12.721 * [backup-simplify]: Simplify 1/4 into 1/4 12.721 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.721 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.721 * [taylor]: Taking taylor expansion of U in K 12.721 * [backup-simplify]: Simplify U into U 12.721 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.721 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.721 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.722 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.722 * [taylor]: Taking taylor expansion of 1/2 in K 12.722 * [backup-simplify]: Simplify 1/2 into 1/2 12.722 * [taylor]: Taking taylor expansion of K in K 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify 1 into 1 12.722 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.722 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.722 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.722 * [taylor]: Taking taylor expansion of J in K 12.722 * [backup-simplify]: Simplify J into J 12.722 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.723 * [backup-simplify]: Simplify (* 1 1) into 1 12.723 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.723 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.723 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.723 * [taylor]: Taking taylor expansion of 1 in K 12.723 * [backup-simplify]: Simplify 1 into 1 12.723 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.723 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.723 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.723 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.723 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.724 * [backup-simplify]: Simplify (+ 0) into 0 12.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.724 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.725 * [backup-simplify]: Simplify (+ 0 0) into 0 12.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.725 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.725 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.725 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.725 * [taylor]: Taking taylor expansion of 1/4 in U 12.725 * [backup-simplify]: Simplify 1/4 into 1/4 12.725 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.725 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.725 * [taylor]: Taking taylor expansion of U in U 12.725 * [backup-simplify]: Simplify 0 into 0 12.726 * [backup-simplify]: Simplify 1 into 1 12.726 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.726 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.726 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.726 * [taylor]: Taking taylor expansion of 1/2 in U 12.726 * [backup-simplify]: Simplify 1/2 into 1/2 12.726 * [taylor]: Taking taylor expansion of K in U 12.726 * [backup-simplify]: Simplify K into K 12.726 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.726 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.726 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.726 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.726 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.726 * [backup-simplify]: Simplify (- 0) into 0 12.726 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.726 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.726 * [taylor]: Taking taylor expansion of J in U 12.726 * [backup-simplify]: Simplify J into J 12.726 * [backup-simplify]: Simplify (* 1 1) into 1 12.727 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.727 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.727 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.727 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.727 * [taylor]: Taking taylor expansion of 1 in U 12.727 * [backup-simplify]: Simplify 1 into 1 12.727 * [backup-simplify]: Simplify (+ 0 1) into 1 12.727 * [backup-simplify]: Simplify (sqrt 1) into 1 12.728 * [backup-simplify]: Simplify (+ 0 0) into 0 12.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.728 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.728 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.728 * [taylor]: Taking taylor expansion of 1/4 in U 12.728 * [backup-simplify]: Simplify 1/4 into 1/4 12.728 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.728 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.728 * [taylor]: Taking taylor expansion of U in U 12.728 * [backup-simplify]: Simplify 0 into 0 12.728 * [backup-simplify]: Simplify 1 into 1 12.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.728 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.728 * [taylor]: Taking taylor expansion of 1/2 in U 12.728 * [backup-simplify]: Simplify 1/2 into 1/2 12.728 * [taylor]: Taking taylor expansion of K in U 12.728 * [backup-simplify]: Simplify K into K 12.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.729 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.729 * [backup-simplify]: Simplify (- 0) into 0 12.729 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.729 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.729 * [taylor]: Taking taylor expansion of J in U 12.729 * [backup-simplify]: Simplify J into J 12.729 * [backup-simplify]: Simplify (* 1 1) into 1 12.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.730 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.730 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.730 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.730 * [taylor]: Taking taylor expansion of 1 in U 12.730 * [backup-simplify]: Simplify 1 into 1 12.730 * [backup-simplify]: Simplify (+ 0 1) into 1 12.731 * [backup-simplify]: Simplify (sqrt 1) into 1 12.731 * [backup-simplify]: Simplify (+ 0 0) into 0 12.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.732 * [taylor]: Taking taylor expansion of 1 in K 12.732 * [backup-simplify]: Simplify 1 into 1 12.732 * [taylor]: Taking taylor expansion of 1 in J 12.732 * [backup-simplify]: Simplify 1 into 1 12.732 * [taylor]: Taking taylor expansion of 0 in K 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [taylor]: Taking taylor expansion of 0 in J 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [taylor]: Taking taylor expansion of 0 in J 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 1 into 1 12.733 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.733 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.735 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.735 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.735 * [taylor]: Taking taylor expansion of 1/8 in K 12.735 * [backup-simplify]: Simplify 1/8 into 1/8 12.735 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.735 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.735 * [taylor]: Taking taylor expansion of 1/2 in K 12.735 * [backup-simplify]: Simplify 1/2 into 1/2 12.735 * [taylor]: Taking taylor expansion of K in K 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.736 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.736 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.736 * [taylor]: Taking taylor expansion of J in K 12.736 * [backup-simplify]: Simplify J into J 12.737 * [backup-simplify]: Simplify (* 1 1) into 1 12.737 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.737 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.737 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 12.737 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 12.737 * [taylor]: Taking taylor expansion of 1/8 in J 12.737 * [backup-simplify]: Simplify 1/8 into 1/8 12.737 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.737 * [taylor]: Taking taylor expansion of J in J 12.737 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify 1 into 1 12.738 * [backup-simplify]: Simplify (* 1 1) into 1 12.738 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [taylor]: Taking taylor expansion of 0 in J 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [taylor]: Taking taylor expansion of 0 in J 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.741 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.741 * [backup-simplify]: Simplify (+ 0) into 0 12.742 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.744 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.744 * [backup-simplify]: Simplify (- 0) into 0 12.745 * [backup-simplify]: Simplify (+ 0 0) into 0 12.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.745 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.745 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.746 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.746 * [backup-simplify]: Simplify (+ 0 0) into 0 12.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.746 * [taylor]: Taking taylor expansion of 0 in K 12.746 * [backup-simplify]: Simplify 0 into 0 12.746 * [taylor]: Taking taylor expansion of 0 in J 12.746 * [backup-simplify]: Simplify 0 into 0 12.747 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.747 * [backup-simplify]: Simplify (+ 0) into 0 12.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.748 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 12.748 * [taylor]: Taking taylor expansion of 0 in J 12.748 * [backup-simplify]: Simplify 0 into 0 12.748 * [taylor]: Taking taylor expansion of 0 in J 12.748 * [backup-simplify]: Simplify 0 into 0 12.748 * [taylor]: Taking taylor expansion of 0 in J 12.748 * [backup-simplify]: Simplify 0 into 0 12.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.749 * [backup-simplify]: Simplify 0 into 0 12.749 * [backup-simplify]: Simplify 0 into 0 12.749 * [backup-simplify]: Simplify 1 into 1 12.749 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.749 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 12.749 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.749 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.749 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.749 * [taylor]: Taking taylor expansion of 1/4 in J 12.749 * [backup-simplify]: Simplify 1/4 into 1/4 12.749 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.749 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.750 * [taylor]: Taking taylor expansion of J in J 12.750 * [backup-simplify]: Simplify 0 into 0 12.750 * [backup-simplify]: Simplify 1 into 1 12.750 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.750 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.750 * [taylor]: Taking taylor expansion of U in J 12.750 * [backup-simplify]: Simplify U into U 12.750 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.750 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.750 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.750 * [taylor]: Taking taylor expansion of 1/2 in J 12.750 * [backup-simplify]: Simplify 1/2 into 1/2 12.750 * [taylor]: Taking taylor expansion of K in J 12.750 * [backup-simplify]: Simplify K into K 12.750 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.750 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.750 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.750 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.750 * [backup-simplify]: Simplify (- 0) into 0 12.750 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.751 * [backup-simplify]: Simplify (* 1 1) into 1 12.751 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.751 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.751 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.751 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.751 * [taylor]: Taking taylor expansion of 1 in J 12.751 * [backup-simplify]: Simplify 1 into 1 12.751 * [backup-simplify]: Simplify (+ 0 1) into 1 12.751 * [backup-simplify]: Simplify (sqrt 1) into 1 12.752 * [backup-simplify]: Simplify (+ 0 0) into 0 12.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.752 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.752 * [taylor]: Taking taylor expansion of 1/4 in K 12.752 * [backup-simplify]: Simplify 1/4 into 1/4 12.752 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.752 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.752 * [taylor]: Taking taylor expansion of J in K 12.752 * [backup-simplify]: Simplify J into J 12.752 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.752 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.752 * [taylor]: Taking taylor expansion of U in K 12.752 * [backup-simplify]: Simplify U into U 12.752 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.752 * [taylor]: Taking taylor expansion of 1/2 in K 12.752 * [backup-simplify]: Simplify 1/2 into 1/2 12.752 * [taylor]: Taking taylor expansion of K in K 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify 1 into 1 12.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.753 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.753 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.753 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.753 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.753 * [taylor]: Taking taylor expansion of 1 in K 12.753 * [backup-simplify]: Simplify 1 into 1 12.753 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.754 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.754 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.754 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.754 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.754 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.754 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.755 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.755 * [backup-simplify]: Simplify (+ 0 0) into 0 12.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.756 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.756 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.756 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.756 * [taylor]: Taking taylor expansion of 1/4 in U 12.756 * [backup-simplify]: Simplify 1/4 into 1/4 12.756 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.756 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.756 * [taylor]: Taking taylor expansion of J in U 12.756 * [backup-simplify]: Simplify J into J 12.756 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.756 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.756 * [taylor]: Taking taylor expansion of U in U 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 1 into 1 12.756 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.756 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.756 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.756 * [taylor]: Taking taylor expansion of 1/2 in U 12.756 * [backup-simplify]: Simplify 1/2 into 1/2 12.756 * [taylor]: Taking taylor expansion of K in U 12.756 * [backup-simplify]: Simplify K into K 12.756 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.756 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.756 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.756 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.756 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.756 * [backup-simplify]: Simplify (- 0) into 0 12.756 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.757 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.757 * [backup-simplify]: Simplify (* 1 1) into 1 12.757 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.757 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.757 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.757 * [taylor]: Taking taylor expansion of 1 in U 12.757 * [backup-simplify]: Simplify 1 into 1 12.757 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.757 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.758 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.758 * [backup-simplify]: Simplify (+ 0) into 0 12.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.759 * [backup-simplify]: Simplify (- 0) into 0 12.760 * [backup-simplify]: Simplify (+ 0 0) into 0 12.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.761 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.762 * [backup-simplify]: Simplify (+ 0 0) into 0 12.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.762 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.762 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.762 * [taylor]: Taking taylor expansion of 1/4 in U 12.762 * [backup-simplify]: Simplify 1/4 into 1/4 12.762 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.762 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.762 * [taylor]: Taking taylor expansion of J in U 12.762 * [backup-simplify]: Simplify J into J 12.762 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.762 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.762 * [taylor]: Taking taylor expansion of U in U 12.762 * [backup-simplify]: Simplify 0 into 0 12.762 * [backup-simplify]: Simplify 1 into 1 12.762 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.762 * [taylor]: Taking taylor expansion of 1/2 in U 12.762 * [backup-simplify]: Simplify 1/2 into 1/2 12.762 * [taylor]: Taking taylor expansion of K in U 12.762 * [backup-simplify]: Simplify K into K 12.762 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.763 * [backup-simplify]: Simplify (- 0) into 0 12.763 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.763 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.763 * [backup-simplify]: Simplify (* 1 1) into 1 12.763 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.763 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.763 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.763 * [taylor]: Taking taylor expansion of 1 in U 12.763 * [backup-simplify]: Simplify 1 into 1 12.764 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.764 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.764 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.764 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.764 * [backup-simplify]: Simplify (+ 0) into 0 12.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.766 * [backup-simplify]: Simplify (- 0) into 0 12.766 * [backup-simplify]: Simplify (+ 0 0) into 0 12.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.767 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.768 * [backup-simplify]: Simplify (+ 0 0) into 0 12.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 12.768 * [taylor]: Taking taylor expansion of 1/2 in K 12.768 * [backup-simplify]: Simplify 1/2 into 1/2 12.768 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 12.768 * [taylor]: Taking taylor expansion of J in K 12.768 * [backup-simplify]: Simplify J into J 12.768 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.768 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.768 * [taylor]: Taking taylor expansion of 1/2 in K 12.768 * [backup-simplify]: Simplify 1/2 into 1/2 12.768 * [taylor]: Taking taylor expansion of K in K 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 1 into 1 12.768 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.768 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.768 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 12.768 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.768 * [taylor]: Taking taylor expansion of 1/2 in J 12.769 * [backup-simplify]: Simplify 1/2 into 1/2 12.769 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.769 * [taylor]: Taking taylor expansion of J in J 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.769 * [taylor]: Taking taylor expansion of 1/2 in J 12.769 * [backup-simplify]: Simplify 1/2 into 1/2 12.769 * [taylor]: Taking taylor expansion of K in J 12.769 * [backup-simplify]: Simplify K into K 12.769 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.769 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.769 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.769 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.769 * [backup-simplify]: Simplify (- 0) into 0 12.769 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.769 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.769 * [taylor]: Taking taylor expansion of 0 in K 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [taylor]: Taking taylor expansion of 0 in J 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 12.770 * [taylor]: Taking taylor expansion of 0 in J 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.770 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.770 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.771 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.771 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.773 * [backup-simplify]: Simplify (- 0) into 0 12.773 * [backup-simplify]: Simplify (+ 0 0) into 0 12.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.776 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.777 * [backup-simplify]: Simplify (+ 0 1) into 1 12.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.778 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.778 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.778 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.778 * [taylor]: Taking taylor expansion of 1/2 in K 12.778 * [backup-simplify]: Simplify 1/2 into 1/2 12.778 * [taylor]: Taking taylor expansion of K in K 12.778 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify 1 into 1 12.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.779 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.779 * [taylor]: Taking taylor expansion of J in K 12.779 * [backup-simplify]: Simplify J into J 12.779 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.779 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.779 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.779 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.779 * [taylor]: Taking taylor expansion of 1/2 in J 12.779 * [backup-simplify]: Simplify 1/2 into 1/2 12.779 * [taylor]: Taking taylor expansion of K in J 12.779 * [backup-simplify]: Simplify K into K 12.779 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.779 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.779 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.779 * [taylor]: Taking taylor expansion of J in J 12.779 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify 1 into 1 12.780 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.780 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.780 * [backup-simplify]: Simplify (- 0) into 0 12.780 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.780 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.781 * [backup-simplify]: Simplify (+ 0) into 0 12.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.781 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.783 * [backup-simplify]: Simplify (- 0) into 0 12.783 * [backup-simplify]: Simplify (+ 0 0) into 0 12.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [taylor]: Taking taylor expansion of 0 in J 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 12.786 * [taylor]: Taking taylor expansion of 0 in J 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify (+ 0) into 0 12.787 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.787 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.788 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.789 * [backup-simplify]: Simplify (- 0) into 0 12.789 * [backup-simplify]: Simplify (+ 0 0) into 0 12.789 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.794 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.795 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.795 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 12.796 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.796 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.796 * [taylor]: Taking taylor expansion of 1 in J 12.796 * [backup-simplify]: Simplify 1 into 1 12.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.796 * [taylor]: Taking taylor expansion of 1/4 in J 12.796 * [backup-simplify]: Simplify 1/4 into 1/4 12.796 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.796 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.796 * [taylor]: Taking taylor expansion of J in J 12.796 * [backup-simplify]: Simplify 0 into 0 12.796 * [backup-simplify]: Simplify 1 into 1 12.796 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.796 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.796 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.796 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.796 * [taylor]: Taking taylor expansion of -1/2 in J 12.796 * [backup-simplify]: Simplify -1/2 into -1/2 12.796 * [taylor]: Taking taylor expansion of K in J 12.796 * [backup-simplify]: Simplify K into K 12.796 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.796 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.796 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.796 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.796 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.797 * [backup-simplify]: Simplify (- 0) into 0 12.797 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.797 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.797 * [taylor]: Taking taylor expansion of U in J 12.797 * [backup-simplify]: Simplify U into U 12.798 * [backup-simplify]: Simplify (* 1 1) into 1 12.798 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.798 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.798 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.798 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.799 * [backup-simplify]: Simplify (+ 1 0) into 1 12.799 * [backup-simplify]: Simplify (sqrt 1) into 1 12.800 * [backup-simplify]: Simplify (+ 0 0) into 0 12.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.800 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.801 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.801 * [taylor]: Taking taylor expansion of 1 in K 12.801 * [backup-simplify]: Simplify 1 into 1 12.801 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.801 * [taylor]: Taking taylor expansion of 1/4 in K 12.801 * [backup-simplify]: Simplify 1/4 into 1/4 12.801 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.801 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.801 * [taylor]: Taking taylor expansion of J in K 12.801 * [backup-simplify]: Simplify J into J 12.801 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.801 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.801 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.801 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.801 * [taylor]: Taking taylor expansion of -1/2 in K 12.801 * [backup-simplify]: Simplify -1/2 into -1/2 12.801 * [taylor]: Taking taylor expansion of K in K 12.801 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify 1 into 1 12.801 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.802 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.802 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.802 * [taylor]: Taking taylor expansion of U in K 12.802 * [backup-simplify]: Simplify U into U 12.802 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.802 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.802 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.802 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.802 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.803 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.803 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.803 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.803 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.804 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.804 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.804 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.806 * [backup-simplify]: Simplify (+ 0 0) into 0 12.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.807 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.807 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.807 * [taylor]: Taking taylor expansion of 1 in U 12.807 * [backup-simplify]: Simplify 1 into 1 12.807 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.807 * [taylor]: Taking taylor expansion of 1/4 in U 12.807 * [backup-simplify]: Simplify 1/4 into 1/4 12.807 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.807 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.807 * [taylor]: Taking taylor expansion of J in U 12.807 * [backup-simplify]: Simplify J into J 12.807 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.807 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.807 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.807 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.807 * [taylor]: Taking taylor expansion of -1/2 in U 12.807 * [backup-simplify]: Simplify -1/2 into -1/2 12.807 * [taylor]: Taking taylor expansion of K in U 12.807 * [backup-simplify]: Simplify K into K 12.807 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.807 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.807 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.807 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.807 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.808 * [backup-simplify]: Simplify (- 0) into 0 12.808 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.808 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.808 * [taylor]: Taking taylor expansion of U in U 12.808 * [backup-simplify]: Simplify 0 into 0 12.808 * [backup-simplify]: Simplify 1 into 1 12.808 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.808 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.809 * [backup-simplify]: Simplify (* 1 1) into 1 12.809 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.809 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.809 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.810 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.810 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.810 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.811 * [backup-simplify]: Simplify (+ 0) into 0 12.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.812 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.813 * [backup-simplify]: Simplify (- 0) into 0 12.814 * [backup-simplify]: Simplify (+ 0 0) into 0 12.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.814 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.815 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.816 * [backup-simplify]: Simplify (+ 0 0) into 0 12.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.816 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.816 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.816 * [taylor]: Taking taylor expansion of 1 in U 12.816 * [backup-simplify]: Simplify 1 into 1 12.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.816 * [taylor]: Taking taylor expansion of 1/4 in U 12.816 * [backup-simplify]: Simplify 1/4 into 1/4 12.816 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.816 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.816 * [taylor]: Taking taylor expansion of J in U 12.816 * [backup-simplify]: Simplify J into J 12.816 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.816 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.816 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.817 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.817 * [taylor]: Taking taylor expansion of -1/2 in U 12.817 * [backup-simplify]: Simplify -1/2 into -1/2 12.817 * [taylor]: Taking taylor expansion of K in U 12.817 * [backup-simplify]: Simplify K into K 12.817 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.817 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.817 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.817 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.817 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.817 * [backup-simplify]: Simplify (- 0) into 0 12.818 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.818 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.818 * [taylor]: Taking taylor expansion of U in U 12.818 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify 1 into 1 12.818 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.818 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.818 * [backup-simplify]: Simplify (* 1 1) into 1 12.818 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.819 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.819 * [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))) 12.819 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.819 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.819 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.821 * [backup-simplify]: Simplify (+ 0) into 0 12.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.823 * [backup-simplify]: Simplify (- 0) into 0 12.823 * [backup-simplify]: Simplify (+ 0 0) into 0 12.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.824 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.824 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.825 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.825 * [backup-simplify]: Simplify (+ 0 0) into 0 12.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 12.826 * [taylor]: Taking taylor expansion of 1/2 in K 12.826 * [backup-simplify]: Simplify 1/2 into 1/2 12.826 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 12.826 * [taylor]: Taking taylor expansion of J in K 12.826 * [backup-simplify]: Simplify J into J 12.826 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.826 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.826 * [taylor]: Taking taylor expansion of -1/2 in K 12.826 * [backup-simplify]: Simplify -1/2 into -1/2 12.826 * [taylor]: Taking taylor expansion of K in K 12.826 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify 1 into 1 12.826 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.826 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.827 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 12.827 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.827 * [taylor]: Taking taylor expansion of 1/2 in J 12.827 * [backup-simplify]: Simplify 1/2 into 1/2 12.827 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.827 * [taylor]: Taking taylor expansion of J in J 12.827 * [backup-simplify]: Simplify 0 into 0 12.827 * [backup-simplify]: Simplify 1 into 1 12.827 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.827 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.827 * [taylor]: Taking taylor expansion of -1/2 in J 12.827 * [backup-simplify]: Simplify -1/2 into -1/2 12.827 * [taylor]: Taking taylor expansion of K in J 12.827 * [backup-simplify]: Simplify K into K 12.827 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.827 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.827 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.827 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.827 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.828 * [backup-simplify]: Simplify (- 0) into 0 12.828 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.828 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.828 * [taylor]: Taking taylor expansion of 0 in K 12.828 * [backup-simplify]: Simplify 0 into 0 12.828 * [taylor]: Taking taylor expansion of 0 in J 12.828 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 12.829 * [taylor]: Taking taylor expansion of 0 in J 12.829 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.829 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.830 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.833 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.833 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.834 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.835 * [backup-simplify]: Simplify (- 0) into 0 12.835 * [backup-simplify]: Simplify (+ 0 0) into 0 12.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.837 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.837 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.839 * [backup-simplify]: Simplify (+ 1 0) into 1 12.840 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.840 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 12.840 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.840 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.840 * [taylor]: Taking taylor expansion of -1/2 in K 12.840 * [backup-simplify]: Simplify -1/2 into -1/2 12.840 * [taylor]: Taking taylor expansion of K in K 12.840 * [backup-simplify]: Simplify 0 into 0 12.840 * [backup-simplify]: Simplify 1 into 1 12.840 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.841 * [taylor]: Taking taylor expansion of J in K 12.841 * [backup-simplify]: Simplify J into J 12.841 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 12.841 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.841 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.841 * [taylor]: Taking taylor expansion of -1/2 in J 12.841 * [backup-simplify]: Simplify -1/2 into -1/2 12.841 * [taylor]: Taking taylor expansion of K in J 12.841 * [backup-simplify]: Simplify K into K 12.841 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.841 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.841 * [taylor]: Taking taylor expansion of J in J 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 1 into 1 12.841 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.841 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.841 * [backup-simplify]: Simplify (- 0) into 0 12.842 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.842 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.842 * [backup-simplify]: Simplify (+ 0) into 0 12.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.843 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.843 * [backup-simplify]: Simplify (- 0) into 0 12.844 * [backup-simplify]: Simplify (+ 0 0) into 0 12.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [taylor]: Taking taylor expansion of 0 in J 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 12.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 12.845 * [taylor]: Taking taylor expansion of 0 in J 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify (+ 0) into 0 12.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.846 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.847 * [backup-simplify]: Simplify (- 0) into 0 12.847 * [backup-simplify]: Simplify (+ 0 0) into 0 12.847 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.847 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.848 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.848 * [backup-simplify]: Simplify (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 12.848 * [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 12.848 * [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 12.848 * [taylor]: Taking taylor expansion of -2 in U 12.848 * [backup-simplify]: Simplify -2 into -2 12.848 * [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 12.848 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 12.848 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.848 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.848 * [taylor]: Taking taylor expansion of 1/2 in U 12.848 * [backup-simplify]: Simplify 1/2 into 1/2 12.848 * [taylor]: Taking taylor expansion of K in U 12.848 * [backup-simplify]: Simplify K into K 12.848 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.848 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.848 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.848 * [taylor]: Taking taylor expansion of J in U 12.848 * [backup-simplify]: Simplify J into J 12.848 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.849 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.849 * [taylor]: Taking taylor expansion of 1/4 in U 12.849 * [backup-simplify]: Simplify 1/4 into 1/4 12.849 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.849 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.849 * [taylor]: Taking taylor expansion of U in U 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 1 into 1 12.849 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.849 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.849 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.849 * [taylor]: Taking taylor expansion of 1/2 in U 12.849 * [backup-simplify]: Simplify 1/2 into 1/2 12.849 * [taylor]: Taking taylor expansion of K in U 12.849 * [backup-simplify]: Simplify K into K 12.849 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.849 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.849 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.849 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.849 * [backup-simplify]: Simplify (- 0) into 0 12.849 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.849 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.849 * [taylor]: Taking taylor expansion of J in U 12.849 * [backup-simplify]: Simplify J into J 12.850 * [backup-simplify]: Simplify (* 1 1) into 1 12.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.850 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.850 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.850 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.850 * [taylor]: Taking taylor expansion of 1 in U 12.850 * [backup-simplify]: Simplify 1 into 1 12.850 * [backup-simplify]: Simplify (+ 0 1) into 1 12.851 * [backup-simplify]: Simplify (sqrt 1) into 1 12.851 * [backup-simplify]: Simplify (+ 0 0) into 0 12.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.851 * [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 12.851 * [taylor]: Taking taylor expansion of -2 in K 12.851 * [backup-simplify]: Simplify -2 into -2 12.851 * [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 12.851 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 12.851 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.851 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.851 * [taylor]: Taking taylor expansion of 1/2 in K 12.851 * [backup-simplify]: Simplify 1/2 into 1/2 12.851 * [taylor]: Taking taylor expansion of K in K 12.851 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify 1 into 1 12.852 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.852 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.852 * [taylor]: Taking taylor expansion of J in K 12.852 * [backup-simplify]: Simplify J into J 12.852 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.852 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.852 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.852 * [taylor]: Taking taylor expansion of 1/4 in K 12.852 * [backup-simplify]: Simplify 1/4 into 1/4 12.852 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.852 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.852 * [taylor]: Taking taylor expansion of U in K 12.852 * [backup-simplify]: Simplify U into U 12.852 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.852 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.852 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.852 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.852 * [taylor]: Taking taylor expansion of 1/2 in K 12.852 * [backup-simplify]: Simplify 1/2 into 1/2 12.852 * [taylor]: Taking taylor expansion of K in K 12.852 * [backup-simplify]: Simplify 0 into 0 12.852 * [backup-simplify]: Simplify 1 into 1 12.853 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.853 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.853 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.853 * [taylor]: Taking taylor expansion of J in K 12.853 * [backup-simplify]: Simplify J into J 12.853 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.853 * [backup-simplify]: Simplify (* 1 1) into 1 12.854 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.854 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.854 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.854 * [taylor]: Taking taylor expansion of 1 in K 12.854 * [backup-simplify]: Simplify 1 into 1 12.854 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.854 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.854 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.854 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.854 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.854 * [backup-simplify]: Simplify (+ 0) into 0 12.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.855 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.856 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.856 * [backup-simplify]: Simplify (+ 0 0) into 0 12.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.856 * [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 12.856 * [taylor]: Taking taylor expansion of -2 in J 12.856 * [backup-simplify]: Simplify -2 into -2 12.856 * [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 12.856 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 12.856 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.856 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.856 * [taylor]: Taking taylor expansion of 1/2 in J 12.857 * [backup-simplify]: Simplify 1/2 into 1/2 12.857 * [taylor]: Taking taylor expansion of K in J 12.857 * [backup-simplify]: Simplify K into K 12.857 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.857 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.857 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.857 * [taylor]: Taking taylor expansion of J in J 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 1 into 1 12.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.857 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.857 * [taylor]: Taking taylor expansion of 1/4 in J 12.857 * [backup-simplify]: Simplify 1/4 into 1/4 12.857 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.857 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.857 * [taylor]: Taking taylor expansion of U in J 12.857 * [backup-simplify]: Simplify U into U 12.857 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.857 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.857 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.857 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.857 * [taylor]: Taking taylor expansion of 1/2 in J 12.857 * [backup-simplify]: Simplify 1/2 into 1/2 12.857 * [taylor]: Taking taylor expansion of K in J 12.857 * [backup-simplify]: Simplify K into K 12.857 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.857 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.857 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.857 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.857 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.857 * [backup-simplify]: Simplify (- 0) into 0 12.858 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.858 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.858 * [taylor]: Taking taylor expansion of J in J 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 1 into 1 12.858 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.858 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.858 * [backup-simplify]: Simplify (* 1 1) into 1 12.858 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.858 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.858 * [taylor]: Taking taylor expansion of 1 in J 12.858 * [backup-simplify]: Simplify 1 into 1 12.858 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.858 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.859 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.859 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.859 * [backup-simplify]: Simplify (+ 0) into 0 12.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.861 * [backup-simplify]: Simplify (- 0) into 0 12.861 * [backup-simplify]: Simplify (+ 0 0) into 0 12.861 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.862 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.862 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.862 * [backup-simplify]: Simplify (+ 0 0) into 0 12.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.863 * [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 12.863 * [taylor]: Taking taylor expansion of -2 in J 12.863 * [backup-simplify]: Simplify -2 into -2 12.863 * [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 12.863 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 12.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.863 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.863 * [taylor]: Taking taylor expansion of 1/2 in J 12.863 * [backup-simplify]: Simplify 1/2 into 1/2 12.863 * [taylor]: Taking taylor expansion of K in J 12.863 * [backup-simplify]: Simplify K into K 12.863 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.863 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.863 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.863 * [taylor]: Taking taylor expansion of J in J 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify 1 into 1 12.863 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.863 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.863 * [taylor]: Taking taylor expansion of 1/4 in J 12.863 * [backup-simplify]: Simplify 1/4 into 1/4 12.863 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.863 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.863 * [taylor]: Taking taylor expansion of U in J 12.863 * [backup-simplify]: Simplify U into U 12.863 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.863 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.863 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.863 * [taylor]: Taking taylor expansion of 1/2 in J 12.863 * [backup-simplify]: Simplify 1/2 into 1/2 12.863 * [taylor]: Taking taylor expansion of K in J 12.863 * [backup-simplify]: Simplify K into K 12.863 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.863 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.863 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.863 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.863 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.864 * [backup-simplify]: Simplify (- 0) into 0 12.864 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.864 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.864 * [taylor]: Taking taylor expansion of J in J 12.864 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify 1 into 1 12.864 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.864 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.864 * [backup-simplify]: Simplify (* 1 1) into 1 12.864 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.864 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.864 * [taylor]: Taking taylor expansion of 1 in J 12.864 * [backup-simplify]: Simplify 1 into 1 12.865 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.865 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.865 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.865 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.866 * [backup-simplify]: Simplify (+ 0) into 0 12.866 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.867 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.867 * [backup-simplify]: Simplify (- 0) into 0 12.867 * [backup-simplify]: Simplify (+ 0 0) into 0 12.868 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.868 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.868 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.869 * [backup-simplify]: Simplify (+ 0 0) into 0 12.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.869 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.869 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.870 * [backup-simplify]: Simplify (- 0) into 0 12.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 12.870 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 12.870 * [backup-simplify]: Simplify (* -2 0) into 0 12.870 * [taylor]: Taking taylor expansion of 0 in K 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [taylor]: Taking taylor expansion of 0 in U 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify (+ 0) into 0 12.872 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.874 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.874 * [backup-simplify]: Simplify (- 0) into 0 12.874 * [backup-simplify]: Simplify (+ 0 0) into 0 12.875 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 12.875 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 12.876 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 12.876 * [taylor]: Taking taylor expansion of (- U) in K 12.876 * [taylor]: Taking taylor expansion of U in K 12.876 * [backup-simplify]: Simplify U into U 12.876 * [backup-simplify]: Simplify (- U) into (- U) 12.876 * [taylor]: Taking taylor expansion of (- U) in U 12.876 * [taylor]: Taking taylor expansion of U in U 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 1 into 1 12.877 * [backup-simplify]: Simplify (- 0) into 0 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [taylor]: Taking taylor expansion of 0 in U 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 12.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.880 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.882 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.883 * [backup-simplify]: Simplify (- 0) into 0 12.883 * [backup-simplify]: Simplify (+ 0 0) into 0 12.884 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.885 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.885 * [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 12.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 12.888 * [backup-simplify]: Simplify (+ 0 1) into 1 12.889 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 12.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.893 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.893 * [backup-simplify]: Simplify (- 0) into 0 12.894 * [backup-simplify]: Simplify (+ 0 0) into 0 12.895 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 12.895 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 12.896 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 12.896 * [taylor]: Taking taylor expansion of 0 in K 12.896 * [backup-simplify]: Simplify 0 into 0 12.896 * [taylor]: Taking taylor expansion of 0 in U 12.896 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify (- 0) into 0 12.896 * [taylor]: Taking taylor expansion of 0 in U 12.896 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify (* (/ 1 J) (* (* -2 (cos (/ (/ 1 K) 2))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 12.897 * [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 12.897 * [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 12.897 * [taylor]: Taking taylor expansion of -2 in U 12.897 * [backup-simplify]: Simplify -2 into -2 12.897 * [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 12.897 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.897 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.898 * [taylor]: Taking taylor expansion of 1/4 in U 12.898 * [backup-simplify]: Simplify 1/4 into 1/4 12.898 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.898 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.898 * [taylor]: Taking taylor expansion of J in U 12.898 * [backup-simplify]: Simplify J into J 12.898 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.898 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.898 * [taylor]: Taking taylor expansion of U in U 12.898 * [backup-simplify]: Simplify 0 into 0 12.898 * [backup-simplify]: Simplify 1 into 1 12.898 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.898 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.898 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.898 * [taylor]: Taking taylor expansion of 1/2 in U 12.898 * [backup-simplify]: Simplify 1/2 into 1/2 12.898 * [taylor]: Taking taylor expansion of K in U 12.898 * [backup-simplify]: Simplify K into K 12.898 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.898 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.898 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.898 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.898 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.899 * [backup-simplify]: Simplify (- 0) into 0 12.899 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.899 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.899 * [backup-simplify]: Simplify (* 1 1) into 1 12.899 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.900 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.900 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.900 * [taylor]: Taking taylor expansion of 1 in U 12.900 * [backup-simplify]: Simplify 1 into 1 12.900 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.900 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.900 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.901 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.901 * [backup-simplify]: Simplify (+ 0) into 0 12.902 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.902 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.903 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.903 * [backup-simplify]: Simplify (- 0) into 0 12.904 * [backup-simplify]: Simplify (+ 0 0) into 0 12.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.906 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.907 * [backup-simplify]: Simplify (+ 0 0) into 0 12.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.907 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 12.907 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.907 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.907 * [taylor]: Taking taylor expansion of 1/2 in U 12.907 * [backup-simplify]: Simplify 1/2 into 1/2 12.907 * [taylor]: Taking taylor expansion of K in U 12.907 * [backup-simplify]: Simplify K into K 12.908 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.908 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.908 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.908 * [taylor]: Taking taylor expansion of J in U 12.908 * [backup-simplify]: Simplify J into J 12.908 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.908 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.908 * [backup-simplify]: Simplify (- 0) into 0 12.908 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.908 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.909 * [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 12.909 * [taylor]: Taking taylor expansion of -2 in K 12.909 * [backup-simplify]: Simplify -2 into -2 12.909 * [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 12.909 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.909 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.909 * [taylor]: Taking taylor expansion of 1/4 in K 12.909 * [backup-simplify]: Simplify 1/4 into 1/4 12.909 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.909 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.909 * [taylor]: Taking taylor expansion of J in K 12.909 * [backup-simplify]: Simplify J into J 12.909 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.909 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.909 * [taylor]: Taking taylor expansion of U in K 12.909 * [backup-simplify]: Simplify U into U 12.909 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.909 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.909 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.909 * [taylor]: Taking taylor expansion of 1/2 in K 12.909 * [backup-simplify]: Simplify 1/2 into 1/2 12.909 * [taylor]: Taking taylor expansion of K in K 12.909 * [backup-simplify]: Simplify 0 into 0 12.909 * [backup-simplify]: Simplify 1 into 1 12.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.910 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.910 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.910 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.910 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.910 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.910 * [taylor]: Taking taylor expansion of 1 in K 12.910 * [backup-simplify]: Simplify 1 into 1 12.911 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.911 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.911 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.911 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.912 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.912 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.913 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.914 * [backup-simplify]: Simplify (+ 0 0) into 0 12.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.914 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.914 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.914 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.914 * [taylor]: Taking taylor expansion of 1/2 in K 12.914 * [backup-simplify]: Simplify 1/2 into 1/2 12.914 * [taylor]: Taking taylor expansion of K in K 12.914 * [backup-simplify]: Simplify 0 into 0 12.914 * [backup-simplify]: Simplify 1 into 1 12.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.915 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.915 * [taylor]: Taking taylor expansion of J in K 12.915 * [backup-simplify]: Simplify J into J 12.915 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.915 * [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 12.915 * [taylor]: Taking taylor expansion of -2 in J 12.915 * [backup-simplify]: Simplify -2 into -2 12.915 * [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 12.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.915 * [taylor]: Taking taylor expansion of 1/4 in J 12.915 * [backup-simplify]: Simplify 1/4 into 1/4 12.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.916 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.916 * [taylor]: Taking taylor expansion of J in J 12.916 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify 1 into 1 12.916 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.916 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.916 * [taylor]: Taking taylor expansion of U in J 12.916 * [backup-simplify]: Simplify U into U 12.916 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.916 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.916 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.916 * [taylor]: Taking taylor expansion of 1/2 in J 12.916 * [backup-simplify]: Simplify 1/2 into 1/2 12.916 * [taylor]: Taking taylor expansion of K in J 12.916 * [backup-simplify]: Simplify K into K 12.916 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.916 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.916 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.916 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.917 * [backup-simplify]: Simplify (- 0) into 0 12.917 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.917 * [backup-simplify]: Simplify (* 1 1) into 1 12.917 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.917 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.918 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.918 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.918 * [taylor]: Taking taylor expansion of 1 in J 12.918 * [backup-simplify]: Simplify 1 into 1 12.918 * [backup-simplify]: Simplify (+ 0 1) into 1 12.919 * [backup-simplify]: Simplify (sqrt 1) into 1 12.919 * [backup-simplify]: Simplify (+ 0 0) into 0 12.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.920 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.920 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.920 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.920 * [taylor]: Taking taylor expansion of 1/2 in J 12.920 * [backup-simplify]: Simplify 1/2 into 1/2 12.920 * [taylor]: Taking taylor expansion of K in J 12.920 * [backup-simplify]: Simplify K into K 12.920 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.920 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.920 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.920 * [taylor]: Taking taylor expansion of J in J 12.920 * [backup-simplify]: Simplify 0 into 0 12.920 * [backup-simplify]: Simplify 1 into 1 12.920 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.921 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.921 * [backup-simplify]: Simplify (- 0) into 0 12.921 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.921 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.921 * [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 12.921 * [taylor]: Taking taylor expansion of -2 in J 12.921 * [backup-simplify]: Simplify -2 into -2 12.921 * [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 12.921 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.922 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.922 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.922 * [taylor]: Taking taylor expansion of 1/4 in J 12.922 * [backup-simplify]: Simplify 1/4 into 1/4 12.922 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.922 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.922 * [taylor]: Taking taylor expansion of J in J 12.922 * [backup-simplify]: Simplify 0 into 0 12.922 * [backup-simplify]: Simplify 1 into 1 12.922 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.922 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.922 * [taylor]: Taking taylor expansion of U in J 12.922 * [backup-simplify]: Simplify U into U 12.922 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.922 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.922 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.922 * [taylor]: Taking taylor expansion of 1/2 in J 12.922 * [backup-simplify]: Simplify 1/2 into 1/2 12.922 * [taylor]: Taking taylor expansion of K in J 12.922 * [backup-simplify]: Simplify K into K 12.922 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.922 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.922 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.922 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.922 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.923 * [backup-simplify]: Simplify (- 0) into 0 12.923 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.923 * [backup-simplify]: Simplify (* 1 1) into 1 12.923 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.924 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.924 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.924 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.924 * [taylor]: Taking taylor expansion of 1 in J 12.924 * [backup-simplify]: Simplify 1 into 1 12.924 * [backup-simplify]: Simplify (+ 0 1) into 1 12.925 * [backup-simplify]: Simplify (sqrt 1) into 1 12.925 * [backup-simplify]: Simplify (+ 0 0) into 0 12.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.926 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.926 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.926 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.926 * [taylor]: Taking taylor expansion of 1/2 in J 12.926 * [backup-simplify]: Simplify 1/2 into 1/2 12.926 * [taylor]: Taking taylor expansion of K in J 12.926 * [backup-simplify]: Simplify K into K 12.926 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.926 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.927 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.927 * [taylor]: Taking taylor expansion of J in J 12.927 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.927 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.927 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.927 * [backup-simplify]: Simplify (- 0) into 0 12.927 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.927 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.928 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 12.928 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.928 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 12.928 * [taylor]: Taking taylor expansion of -2 in K 12.928 * [backup-simplify]: Simplify -2 into -2 12.928 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.928 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.928 * [taylor]: Taking taylor expansion of 1/2 in K 12.928 * [backup-simplify]: Simplify 1/2 into 1/2 12.928 * [taylor]: Taking taylor expansion of K in K 12.928 * [backup-simplify]: Simplify 0 into 0 12.928 * [backup-simplify]: Simplify 1 into 1 12.928 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.929 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.929 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.929 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 12.929 * [taylor]: Taking taylor expansion of -2 in U 12.929 * [backup-simplify]: Simplify -2 into -2 12.929 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.929 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.929 * [taylor]: Taking taylor expansion of 1/2 in U 12.929 * [backup-simplify]: Simplify 1/2 into 1/2 12.929 * [taylor]: Taking taylor expansion of K in U 12.929 * [backup-simplify]: Simplify K into K 12.929 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.929 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.929 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.930 * [backup-simplify]: Simplify (+ 0) into 0 12.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.932 * [backup-simplify]: Simplify (- 0) into 0 12.932 * [backup-simplify]: Simplify (+ 0 0) into 0 12.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 12.935 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 12.935 * [taylor]: Taking taylor expansion of 0 in K 12.935 * [backup-simplify]: Simplify 0 into 0 12.935 * [taylor]: Taking taylor expansion of 0 in U 12.935 * [backup-simplify]: Simplify 0 into 0 12.940 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 12.940 * [taylor]: Taking taylor expansion of 0 in U 12.940 * [backup-simplify]: Simplify 0 into 0 12.940 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.940 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.941 * [backup-simplify]: Simplify (- 0) into 0 12.941 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.941 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.941 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.945 * [backup-simplify]: Simplify (- 0) into 0 12.945 * [backup-simplify]: Simplify (+ 0 0) into 0 12.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.947 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.947 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.949 * [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))) 12.950 * [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))))) 12.951 * [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)))))) 12.951 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 12.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 12.951 * [taylor]: Taking taylor expansion of 1/4 in K 12.951 * [backup-simplify]: Simplify 1/4 into 1/4 12.951 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 12.951 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 12.951 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.951 * [taylor]: Taking taylor expansion of U in K 12.951 * [backup-simplify]: Simplify U into U 12.951 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.951 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.951 * [taylor]: Taking taylor expansion of 1/2 in K 12.951 * [backup-simplify]: Simplify 1/2 into 1/2 12.951 * [taylor]: Taking taylor expansion of K in K 12.951 * [backup-simplify]: Simplify 0 into 0 12.951 * [backup-simplify]: Simplify 1 into 1 12.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.952 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.952 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.952 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 12.952 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 12.952 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 12.953 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 12.953 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 12.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 12.953 * [taylor]: Taking taylor expansion of 1/4 in U 12.953 * [backup-simplify]: Simplify 1/4 into 1/4 12.953 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 12.953 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 12.953 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.953 * [taylor]: Taking taylor expansion of U in U 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [backup-simplify]: Simplify 1 into 1 12.953 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.953 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.953 * [taylor]: Taking taylor expansion of 1/2 in U 12.953 * [backup-simplify]: Simplify 1/2 into 1/2 12.953 * [taylor]: Taking taylor expansion of K in U 12.953 * [backup-simplify]: Simplify K into K 12.953 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.953 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.953 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.954 * [backup-simplify]: Simplify (* 1 1) into 1 12.954 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.954 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.954 * [backup-simplify]: Simplify (- 0) into 0 12.954 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.954 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 12.955 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.955 * [backup-simplify]: Simplify (+ 0) into 0 12.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.956 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.958 * [backup-simplify]: Simplify (- 0) into 0 12.958 * [backup-simplify]: Simplify (+ 0 0) into 0 12.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 12.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.960 * [backup-simplify]: Simplify (- 0) into 0 12.961 * [backup-simplify]: Simplify 0 into 0 12.961 * [taylor]: Taking taylor expansion of 0 in U 12.961 * [backup-simplify]: Simplify 0 into 0 12.961 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.962 * [taylor]: Taking taylor expansion of 0 in U 12.962 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify (+ 0) into 0 12.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.963 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.964 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.964 * [backup-simplify]: Simplify (- 0) into 0 12.964 * [backup-simplify]: Simplify (+ 0 0) into 0 12.965 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 12.965 * [backup-simplify]: Simplify 0 into 0 12.966 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.967 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.969 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.970 * [backup-simplify]: Simplify (- 0) into 0 12.970 * [backup-simplify]: Simplify (+ 0 0) into 0 12.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.973 * [backup-simplify]: Simplify (+ 0) into 0 12.974 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.976 * [backup-simplify]: Simplify (- 0) into 0 12.976 * [backup-simplify]: Simplify (+ 0 0) into 0 12.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.976 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.977 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.977 * [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 12.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.978 * [backup-simplify]: Simplify (+ 0 0) into 0 12.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 12.980 * [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 12.981 * [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 12.981 * [taylor]: Taking taylor expansion of 0 in K 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [taylor]: Taking taylor expansion of 0 in U 12.981 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.982 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 12.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 12.983 * [backup-simplify]: Simplify (- 0) into 0 12.983 * [taylor]: Taking taylor expansion of 0 in U 12.983 * [backup-simplify]: Simplify 0 into 0 12.983 * [taylor]: Taking taylor expansion of 0 in U 12.983 * [backup-simplify]: Simplify 0 into 0 12.984 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.985 * [taylor]: Taking taylor expansion of 0 in U 12.985 * [backup-simplify]: Simplify 0 into 0 12.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.988 * [backup-simplify]: Simplify (- 0) into 0 12.989 * [backup-simplify]: Simplify (+ 0 0) into 0 12.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 12.992 * [backup-simplify]: Simplify (- 0) into 0 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 12.993 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (* -2 (cos (/ (/ 1 (- K)) 2))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 12.993 * [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 12.994 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.994 * [taylor]: Taking taylor expansion of 2 in U 12.994 * [backup-simplify]: Simplify 2 into 2 12.994 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.994 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 12.994 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.994 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.994 * [taylor]: Taking taylor expansion of -1/2 in U 12.994 * [backup-simplify]: Simplify -1/2 into -1/2 12.994 * [taylor]: Taking taylor expansion of K in U 12.994 * [backup-simplify]: Simplify K into K 12.994 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.994 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.994 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.994 * [taylor]: Taking taylor expansion of J in U 12.994 * [backup-simplify]: Simplify J into J 12.994 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.994 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.995 * [backup-simplify]: Simplify (- 0) into 0 12.995 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.995 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 12.995 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.995 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.995 * [taylor]: Taking taylor expansion of 1 in U 12.995 * [backup-simplify]: Simplify 1 into 1 12.995 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.995 * [taylor]: Taking taylor expansion of 1/4 in U 12.995 * [backup-simplify]: Simplify 1/4 into 1/4 12.995 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.995 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.995 * [taylor]: Taking taylor expansion of J in U 12.995 * [backup-simplify]: Simplify J into J 12.995 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.995 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.995 * [taylor]: Taking taylor expansion of -1/2 in U 12.996 * [backup-simplify]: Simplify -1/2 into -1/2 12.996 * [taylor]: Taking taylor expansion of K in U 12.996 * [backup-simplify]: Simplify K into K 12.996 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.996 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.996 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.996 * [backup-simplify]: Simplify (- 0) into 0 12.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.997 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.997 * [taylor]: Taking taylor expansion of U in U 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify 1 into 1 12.997 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.998 * [backup-simplify]: Simplify (* 1 1) into 1 12.998 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.998 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.998 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.998 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.999 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.999 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.000 * [backup-simplify]: Simplify (+ 0) into 0 13.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.003 * [backup-simplify]: Simplify (- 0) into 0 13.003 * [backup-simplify]: Simplify (+ 0 0) into 0 13.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.004 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.004 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.005 * [backup-simplify]: Simplify (+ 0 0) into 0 13.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.006 * [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 13.006 * [taylor]: Taking taylor expansion of 2 in K 13.006 * [backup-simplify]: Simplify 2 into 2 13.006 * [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 13.006 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 13.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.006 * [taylor]: Taking taylor expansion of -1/2 in K 13.006 * [backup-simplify]: Simplify -1/2 into -1/2 13.006 * [taylor]: Taking taylor expansion of K in K 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify 1 into 1 13.006 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.007 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.007 * [taylor]: Taking taylor expansion of J in K 13.007 * [backup-simplify]: Simplify J into J 13.007 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 13.007 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.007 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.007 * [taylor]: Taking taylor expansion of 1 in K 13.007 * [backup-simplify]: Simplify 1 into 1 13.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.007 * [taylor]: Taking taylor expansion of 1/4 in K 13.007 * [backup-simplify]: Simplify 1/4 into 1/4 13.007 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.007 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.007 * [taylor]: Taking taylor expansion of J in K 13.007 * [backup-simplify]: Simplify J into J 13.007 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.007 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.007 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.007 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.007 * [taylor]: Taking taylor expansion of -1/2 in K 13.007 * [backup-simplify]: Simplify -1/2 into -1/2 13.007 * [taylor]: Taking taylor expansion of K in K 13.007 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.008 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.008 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.008 * [taylor]: Taking taylor expansion of U in K 13.008 * [backup-simplify]: Simplify U into U 13.008 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.008 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.008 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.009 * [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))) 13.009 * [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)))) 13.009 * [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))))) 13.010 * [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)))))) 13.010 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.010 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.010 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.011 * [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 13.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.012 * [backup-simplify]: Simplify (+ 0 0) into 0 13.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.013 * [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 13.013 * [taylor]: Taking taylor expansion of 2 in J 13.013 * [backup-simplify]: Simplify 2 into 2 13.013 * [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 13.013 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.013 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.013 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.013 * [taylor]: Taking taylor expansion of -1/2 in J 13.013 * [backup-simplify]: Simplify -1/2 into -1/2 13.013 * [taylor]: Taking taylor expansion of K in J 13.013 * [backup-simplify]: Simplify K into K 13.013 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.013 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.013 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.013 * [taylor]: Taking taylor expansion of J in J 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.014 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.014 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.014 * [backup-simplify]: Simplify (- 0) into 0 13.014 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.014 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.014 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.014 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.014 * [taylor]: Taking taylor expansion of 1 in J 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.014 * [taylor]: Taking taylor expansion of 1/4 in J 13.014 * [backup-simplify]: Simplify 1/4 into 1/4 13.014 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.015 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.015 * [taylor]: Taking taylor expansion of J in J 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.015 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.015 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.015 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.015 * [taylor]: Taking taylor expansion of -1/2 in J 13.015 * [backup-simplify]: Simplify -1/2 into -1/2 13.015 * [taylor]: Taking taylor expansion of K in J 13.015 * [backup-simplify]: Simplify K into K 13.015 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.015 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.015 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.015 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.015 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.016 * [backup-simplify]: Simplify (- 0) into 0 13.016 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.016 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.016 * [taylor]: Taking taylor expansion of U in J 13.016 * [backup-simplify]: Simplify U into U 13.016 * [backup-simplify]: Simplify (* 1 1) into 1 13.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.016 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.017 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.017 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.018 * [backup-simplify]: Simplify (+ 1 0) into 1 13.018 * [backup-simplify]: Simplify (sqrt 1) into 1 13.018 * [backup-simplify]: Simplify (+ 0 0) into 0 13.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.019 * [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 13.019 * [taylor]: Taking taylor expansion of 2 in J 13.019 * [backup-simplify]: Simplify 2 into 2 13.019 * [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 13.019 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.019 * [taylor]: Taking taylor expansion of -1/2 in J 13.019 * [backup-simplify]: Simplify -1/2 into -1/2 13.019 * [taylor]: Taking taylor expansion of K in J 13.019 * [backup-simplify]: Simplify K into K 13.020 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.020 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.020 * [taylor]: Taking taylor expansion of J in J 13.020 * [backup-simplify]: Simplify 0 into 0 13.020 * [backup-simplify]: Simplify 1 into 1 13.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.020 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.020 * [backup-simplify]: Simplify (- 0) into 0 13.020 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.021 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.021 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.021 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.021 * [taylor]: Taking taylor expansion of 1 in J 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.021 * [taylor]: Taking taylor expansion of 1/4 in J 13.021 * [backup-simplify]: Simplify 1/4 into 1/4 13.021 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.021 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.021 * [taylor]: Taking taylor expansion of J in J 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.021 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.021 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.021 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.021 * [taylor]: Taking taylor expansion of -1/2 in J 13.021 * [backup-simplify]: Simplify -1/2 into -1/2 13.021 * [taylor]: Taking taylor expansion of K in J 13.021 * [backup-simplify]: Simplify K into K 13.021 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.021 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.021 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.022 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.022 * [backup-simplify]: Simplify (- 0) into 0 13.022 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.022 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.022 * [taylor]: Taking taylor expansion of U in J 13.022 * [backup-simplify]: Simplify U into U 13.023 * [backup-simplify]: Simplify (* 1 1) into 1 13.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.023 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.023 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.023 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.024 * [backup-simplify]: Simplify (+ 1 0) into 1 13.024 * [backup-simplify]: Simplify (sqrt 1) into 1 13.024 * [backup-simplify]: Simplify (+ 0 0) into 0 13.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.025 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.025 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 13.025 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 13.026 * [taylor]: Taking taylor expansion of 2 in K 13.026 * [backup-simplify]: Simplify 2 into 2 13.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.026 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.026 * [taylor]: Taking taylor expansion of -1/2 in K 13.026 * [backup-simplify]: Simplify -1/2 into -1/2 13.026 * [taylor]: Taking taylor expansion of K in K 13.026 * [backup-simplify]: Simplify 0 into 0 13.026 * [backup-simplify]: Simplify 1 into 1 13.026 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.026 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.026 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 13.026 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 13.026 * [taylor]: Taking taylor expansion of 2 in U 13.027 * [backup-simplify]: Simplify 2 into 2 13.027 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.027 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.027 * [taylor]: Taking taylor expansion of -1/2 in U 13.027 * [backup-simplify]: Simplify -1/2 into -1/2 13.027 * [taylor]: Taking taylor expansion of K in U 13.027 * [backup-simplify]: Simplify K into K 13.027 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.027 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.027 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.027 * [backup-simplify]: Simplify (+ 0) into 0 13.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.030 * [backup-simplify]: Simplify (- 0) into 0 13.030 * [backup-simplify]: Simplify (+ 0 0) into 0 13.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 13.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.032 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 13.032 * [taylor]: Taking taylor expansion of 0 in K 13.032 * [backup-simplify]: Simplify 0 into 0 13.032 * [taylor]: Taking taylor expansion of 0 in U 13.033 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 13.033 * [taylor]: Taking taylor expansion of 0 in U 13.033 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.033 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.034 * [backup-simplify]: Simplify (- 0) into 0 13.034 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.034 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 13.034 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 13.034 * [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))) 13.035 * [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)))) 13.036 * [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))) 13.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.038 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.040 * [backup-simplify]: Simplify (- 0) into 0 13.041 * [backup-simplify]: Simplify (+ 0 0) into 0 13.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.043 * [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)))) 13.044 * [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)))) 13.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 13.044 * [taylor]: Taking taylor expansion of 1/4 in K 13.044 * [backup-simplify]: Simplify 1/4 into 1/4 13.044 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 13.044 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 13.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.044 * [taylor]: Taking taylor expansion of -1/2 in K 13.044 * [backup-simplify]: Simplify -1/2 into -1/2 13.044 * [taylor]: Taking taylor expansion of K in K 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 1 into 1 13.045 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.045 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.045 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.046 * [taylor]: Taking taylor expansion of U in K 13.046 * [backup-simplify]: Simplify U into U 13.046 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 13.046 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 13.046 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 13.046 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 13.046 * [taylor]: Taking taylor expansion of 1/4 in U 13.046 * [backup-simplify]: Simplify 1/4 into 1/4 13.046 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 13.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.046 * [taylor]: Taking taylor expansion of -1/2 in U 13.047 * [backup-simplify]: Simplify -1/2 into -1/2 13.047 * [taylor]: Taking taylor expansion of K in U 13.047 * [backup-simplify]: Simplify K into K 13.047 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.047 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.047 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.047 * [taylor]: Taking taylor expansion of U in U 13.047 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify 1 into 1 13.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.047 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.048 * [backup-simplify]: Simplify (- 0) into 0 13.048 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.048 * [backup-simplify]: Simplify (* 1 1) into 1 13.048 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.049 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 13.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.050 * [backup-simplify]: Simplify (+ 0) into 0 13.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.050 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.052 * [backup-simplify]: Simplify (- 0) into 0 13.053 * [backup-simplify]: Simplify (+ 0 0) into 0 13.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.053 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.053 * [backup-simplify]: Simplify 0 into 0 13.053 * [taylor]: Taking taylor expansion of 0 in U 13.053 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.054 * [taylor]: Taking taylor expansion of 0 in U 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify (+ 0) into 0 13.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.056 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.057 * [backup-simplify]: Simplify (- 0) into 0 13.058 * [backup-simplify]: Simplify (+ 0 0) into 0 13.058 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.059 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.059 * [backup-simplify]: Simplify (+ 0) into 0 13.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.062 * [backup-simplify]: Simplify (- 0) into 0 13.062 * [backup-simplify]: Simplify (+ 0 0) into 0 13.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.062 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.063 * [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 13.064 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.064 * [backup-simplify]: Simplify (+ 0 0) into 0 13.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 13.066 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.070 * [backup-simplify]: Simplify (- 0) into 0 13.070 * [backup-simplify]: Simplify (+ 0 0) into 0 13.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.073 * [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 13.074 * [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 13.074 * [taylor]: Taking taylor expansion of 0 in K 13.074 * [backup-simplify]: Simplify 0 into 0 13.074 * [taylor]: Taking taylor expansion of 0 in U 13.074 * [backup-simplify]: Simplify 0 into 0 13.075 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 13.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 13.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 13.076 * [taylor]: Taking taylor expansion of 0 in U 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [taylor]: Taking taylor expansion of 0 in U 13.076 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 13.077 * [taylor]: Taking taylor expansion of 0 in U 13.077 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.082 * [backup-simplify]: Simplify (- 0) into 0 13.082 * [backup-simplify]: Simplify (+ 0 0) into 0 13.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.083 * [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 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 13.084 * * * [progress]: simplifying candidates 13.084 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 13.084 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))> 13.085 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 13.085 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 13.086 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 32 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 13.087 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 13.087 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 48 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 13.088 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 13.088 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 13.089 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 71 / 84 ] simplifiying candidate #real (real->posit16 (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))> 13.090 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 13.090 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 13.091 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 13.093 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) 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(* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (cos (/ K 2))) J)) (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) -1)) (* (* (cos (/ K 2)) J) -2)) (real->posit16 (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) 1 (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)) 1 (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)) 1 (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)) 0 (* (* (cos (/ K 2)) J) -2) (* (* (cos (/ K 2)) J) -2) 14.529 * * * [progress]: adding candidates to table 15.293 * [progress]: [Phase 3 of 3] Extracting. 15.293 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))>) 15.301 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 15.301 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))>) 15.411 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))>) 15.539 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))>) 15.678 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))>) 15.820 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))>) 15.941 * * * [regime]: Found split indices: #