36.519 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.184 * * * [progress]: [2/2] Setting up program. 0.192 * [progress]: [Phase 2 of 3] Improving. 0.192 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.195 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.195 * * [simplify]: iteration 0: 17 enodes 0.202 * * [simplify]: iteration 1: 36 enodes 0.216 * * [simplify]: iteration 2: 81 enodes 0.250 * * [simplify]: iteration 3: 215 enodes 0.334 * * [simplify]: iteration 4: 782 enodes 0.676 * * [simplify]: iteration 5: 2090 enodes 1.085 * * [simplify]: iteration complete: 2090 enodes 1.085 * * [simplify]: Extracting #0: cost 1 inf + 0 1.085 * * [simplify]: Extracting #1: cost 91 inf + 0 1.086 * * [simplify]: Extracting #2: cost 131 inf + 44 1.087 * * [simplify]: Extracting #3: cost 117 inf + 717 1.089 * * [simplify]: Extracting #4: cost 341 inf + 1006 1.098 * * [simplify]: Extracting #5: cost 509 inf + 21867 1.140 * * [simplify]: Extracting #6: cost 316 inf + 82822 1.179 * * [simplify]: Extracting #7: cost 56 inf + 162896 1.233 * * [simplify]: Extracting #8: cost 2 inf + 188172 1.281 * * [simplify]: Extracting #9: cost 0 inf + 189122 1.330 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1.340 * * [progress]: iteration 1 / 4 1.340 * * * [progress]: picking best candidate 1.343 * * * * [pick]: Picked # 1.344 * * * [progress]: localizing error 1.384 * * * [progress]: generating rewritten candidates 1.384 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.528 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.764 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) 1.928 * * * [progress]: generating series expansions 1.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.929 * [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)) 1.929 * [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 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.929 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.929 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.929 * [taylor]: Taking taylor expansion of 1/4 in J 1.929 * [backup-simplify]: Simplify 1/4 into 1/4 1.929 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.929 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.929 * [taylor]: Taking taylor expansion of U in J 1.929 * [backup-simplify]: Simplify U into U 1.929 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.929 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.929 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.929 * [taylor]: Taking taylor expansion of 1/2 in J 1.929 * [backup-simplify]: Simplify 1/2 into 1/2 1.929 * [taylor]: Taking taylor expansion of K in J 1.929 * [backup-simplify]: Simplify K into K 1.929 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.929 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.929 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.930 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.930 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.931 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.931 * [taylor]: Taking taylor expansion of J in J 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.931 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.931 * [backup-simplify]: Simplify (* 1 1) into 1 1.931 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.932 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.932 * [taylor]: Taking taylor expansion of 1 in J 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [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))) 1.932 * [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))) 1.933 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.933 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.934 * [backup-simplify]: Simplify (+ 0) into 0 1.934 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.936 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.938 * [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 1.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.940 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.940 * [taylor]: Taking taylor expansion of 1/4 in K 1.940 * [backup-simplify]: Simplify 1/4 into 1/4 1.940 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.940 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.940 * [taylor]: Taking taylor expansion of U in K 1.940 * [backup-simplify]: Simplify U into U 1.940 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.940 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.940 * [taylor]: Taking taylor expansion of 1/2 in K 1.940 * [backup-simplify]: Simplify 1/2 into 1/2 1.940 * [taylor]: Taking taylor expansion of K in K 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.941 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.941 * [taylor]: Taking taylor expansion of J in K 1.941 * [backup-simplify]: Simplify J into J 1.941 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.942 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.942 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.942 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.942 * [taylor]: Taking taylor expansion of 1 in K 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.942 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.943 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.943 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.943 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.943 * [backup-simplify]: Simplify (+ 0) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.949 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.949 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.949 * [taylor]: Taking taylor expansion of 1/4 in U 1.950 * [backup-simplify]: Simplify 1/4 into 1/4 1.950 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.950 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.950 * [taylor]: Taking taylor expansion of U in U 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.950 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.950 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.950 * [taylor]: Taking taylor expansion of 1/2 in U 1.950 * [backup-simplify]: Simplify 1/2 into 1/2 1.950 * [taylor]: Taking taylor expansion of K in U 1.950 * [backup-simplify]: Simplify K into K 1.950 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.950 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.950 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.950 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.950 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.951 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.951 * [taylor]: Taking taylor expansion of J in U 1.951 * [backup-simplify]: Simplify J into J 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.951 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.951 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.951 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.951 * [taylor]: Taking taylor expansion of 1 in U 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.952 * [backup-simplify]: Simplify (sqrt 1) into 1 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.953 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.953 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.953 * [taylor]: Taking taylor expansion of 1/4 in U 1.953 * [backup-simplify]: Simplify 1/4 into 1/4 1.953 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.953 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.954 * [taylor]: Taking taylor expansion of U in U 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 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 1.954 * [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 J 2) in U 1.955 * [taylor]: Taking taylor expansion of J in U 1.955 * [backup-simplify]: Simplify J into J 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* J J) into (pow J 2) 1.955 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.956 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.956 * [taylor]: Taking taylor expansion of 1 in U 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (+ 0 1) into 1 1.956 * [backup-simplify]: Simplify (sqrt 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.958 * [taylor]: Taking taylor expansion of 1 in K 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of 1 in J 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of 0 in K 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [taylor]: Taking taylor expansion of 0 in J 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [taylor]: Taking taylor expansion of 0 in J 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [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))) 1.958 * [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)))) 1.960 * [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))) 1.960 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.960 * [taylor]: Taking taylor expansion of 1/8 in K 1.960 * [backup-simplify]: Simplify 1/8 into 1/8 1.960 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.960 * [taylor]: Taking taylor expansion of 1/2 in K 1.960 * [backup-simplify]: Simplify 1/2 into 1/2 1.960 * [taylor]: Taking taylor expansion of K in K 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.961 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.961 * [taylor]: Taking taylor expansion of J in K 1.961 * [backup-simplify]: Simplify J into J 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.962 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.962 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.962 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.962 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.962 * [taylor]: Taking taylor expansion of 1/8 in J 1.962 * [backup-simplify]: Simplify 1/8 into 1/8 1.962 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.962 * [taylor]: Taking taylor expansion of J in J 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [taylor]: Taking taylor expansion of 0 in J 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [taylor]: Taking taylor expansion of 0 in J 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.965 * [backup-simplify]: Simplify (+ 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.967 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.969 * [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 1.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in K 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [taylor]: Taking taylor expansion of 0 in J 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.971 * [backup-simplify]: Simplify (+ 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in J 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [taylor]: Taking taylor expansion of 0 in J 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [taylor]: Taking taylor expansion of 0 in J 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [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)) 1.975 * [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 1.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.975 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.975 * [taylor]: Taking taylor expansion of 1/4 in J 1.975 * [backup-simplify]: Simplify 1/4 into 1/4 1.975 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.975 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.975 * [taylor]: Taking taylor expansion of J in J 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.975 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.975 * [taylor]: Taking taylor expansion of U in J 1.975 * [backup-simplify]: Simplify U into U 1.975 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.975 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.975 * [taylor]: Taking taylor expansion of 1/2 in J 1.976 * [backup-simplify]: Simplify 1/2 into 1/2 1.976 * [taylor]: Taking taylor expansion of K in J 1.976 * [backup-simplify]: Simplify K into K 1.976 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.976 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.976 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.976 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.977 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.977 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.977 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.977 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.977 * [taylor]: Taking taylor expansion of 1 in J 1.977 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (+ 0 1) into 1 1.978 * [backup-simplify]: Simplify (sqrt 1) into 1 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.979 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.979 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.979 * [taylor]: Taking taylor expansion of 1/4 in K 1.979 * [backup-simplify]: Simplify 1/4 into 1/4 1.979 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.979 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.979 * [taylor]: Taking taylor expansion of J in K 1.979 * [backup-simplify]: Simplify J into J 1.979 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.979 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.979 * [taylor]: Taking taylor expansion of U in K 1.979 * [backup-simplify]: Simplify U into U 1.979 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.979 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.979 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.979 * [taylor]: Taking taylor expansion of 1/2 in K 1.979 * [backup-simplify]: Simplify 1/2 into 1/2 1.979 * [taylor]: Taking taylor expansion of K in K 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.980 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.980 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.980 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.980 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.980 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.980 * [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))) 1.980 * [taylor]: Taking taylor expansion of 1 in K 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [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)))) 1.981 * [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) 1.981 * [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)) 1.982 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.982 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.983 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.984 * [taylor]: Taking taylor expansion of 1/4 in U 1.984 * [backup-simplify]: Simplify 1/4 into 1/4 1.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.984 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.984 * [taylor]: Taking taylor expansion of J in U 1.984 * [backup-simplify]: Simplify J into J 1.984 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.984 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.984 * [taylor]: Taking taylor expansion of U in U 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.985 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.985 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.985 * [taylor]: Taking taylor expansion of 1/2 in U 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [taylor]: Taking taylor expansion of K in U 1.985 * [backup-simplify]: Simplify K into K 1.985 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.985 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.985 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.986 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.986 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.986 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.986 * [taylor]: Taking taylor expansion of 1 in U 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.986 * [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))) 1.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.986 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.986 * [backup-simplify]: Simplify (+ 0) into 0 1.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.989 * [backup-simplify]: 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 1.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.990 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.990 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.990 * [taylor]: Taking taylor expansion of 1/4 in U 1.990 * [backup-simplify]: Simplify 1/4 into 1/4 1.990 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.990 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.990 * [taylor]: Taking taylor expansion of J in U 1.990 * [backup-simplify]: Simplify J into J 1.990 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.990 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.990 * [taylor]: Taking taylor expansion of U in U 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.990 * [taylor]: Taking taylor expansion of 1/2 in U 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of K in U 1.990 * [backup-simplify]: Simplify K into K 1.990 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.990 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.990 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.991 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.991 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.991 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.992 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.992 * [taylor]: Taking taylor expansion of 1 in U 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.992 * [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))) 1.992 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.992 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.992 * [backup-simplify]: Simplify (+ 0) into 0 1.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.994 * [backup-simplify]: Simplify (- 0) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.996 * [taylor]: Taking taylor expansion of 1/2 in K 1.996 * [backup-simplify]: Simplify 1/2 into 1/2 1.996 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.996 * [taylor]: Taking taylor expansion of J in K 1.996 * [backup-simplify]: Simplify J into J 1.996 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.996 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.996 * [taylor]: Taking taylor expansion of 1/2 in K 1.996 * [backup-simplify]: Simplify 1/2 into 1/2 1.996 * [taylor]: Taking taylor expansion of K in K 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.996 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.997 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.997 * [taylor]: Taking taylor expansion of 1/2 in J 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.997 * [taylor]: Taking taylor expansion of J in J 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.997 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.997 * [taylor]: Taking taylor expansion of 1/2 in J 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of K in J 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 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.997 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.997 * [taylor]: Taking taylor expansion of 0 in K 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [taylor]: Taking taylor expansion of 0 in J 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.998 * [taylor]: Taking taylor expansion of 0 in J 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.998 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.999 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.001 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.001 * [backup-simplify]: Simplify (- 0) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.003 * [backup-simplify]: 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 2.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 1) into 1 2.004 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.004 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.005 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.005 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.005 * [taylor]: Taking taylor expansion of 1/2 in K 2.005 * [backup-simplify]: Simplify 1/2 into 1/2 2.005 * [taylor]: Taking taylor expansion of K in K 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.005 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.005 * [taylor]: Taking taylor expansion of J in K 2.005 * [backup-simplify]: Simplify J into J 2.005 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.005 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.005 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.005 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.005 * [taylor]: Taking taylor expansion of 1/2 in J 2.005 * [backup-simplify]: Simplify 1/2 into 1/2 2.005 * [taylor]: Taking taylor expansion of K in J 2.005 * [backup-simplify]: Simplify K into K 2.005 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.005 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.005 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.005 * [taylor]: Taking taylor expansion of J in J 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.005 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.006 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.006 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.006 * [backup-simplify]: Simplify (+ 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.007 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [taylor]: Taking taylor expansion of 0 in J 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in J 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [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 (- (/ 0 K) (+ (* (/ 1/2 K) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.012 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 2.012 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 2.012 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.012 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.012 * [taylor]: Taking taylor expansion of 1 in J 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.012 * [taylor]: Taking taylor expansion of 1/4 in J 2.012 * [backup-simplify]: Simplify 1/4 into 1/4 2.012 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.012 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.012 * [taylor]: Taking taylor expansion of J in J 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.012 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.012 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.012 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.012 * [taylor]: Taking taylor expansion of -1/2 in J 2.012 * [backup-simplify]: Simplify -1/2 into -1/2 2.012 * [taylor]: Taking taylor expansion of K in J 2.012 * [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 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 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 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* U U) into (pow U 2) 2.014 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.014 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.015 * [backup-simplify]: Simplify (+ 1 0) into 1 2.015 * [backup-simplify]: Simplify (sqrt 1) into 1 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.016 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.016 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.016 * [taylor]: Taking taylor expansion of 1 in K 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.016 * [taylor]: Taking taylor expansion of 1/4 in K 2.016 * [backup-simplify]: Simplify 1/4 into 1/4 2.016 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.016 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.017 * [taylor]: Taking taylor expansion of J in K 2.017 * [backup-simplify]: Simplify J into J 2.017 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.017 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.017 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.017 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.017 * [taylor]: Taking taylor expansion of -1/2 in K 2.017 * [backup-simplify]: Simplify -1/2 into -1/2 2.017 * [taylor]: Taking taylor expansion of K in K 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.017 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.017 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.018 * [taylor]: Taking taylor expansion of U in K 2.018 * [backup-simplify]: Simplify U into U 2.018 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.018 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.018 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.018 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.018 * [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))) 2.018 * [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)))) 2.019 * [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))))) 2.019 * [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)))))) 2.019 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.019 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.020 * [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 2.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.022 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.022 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.022 * [taylor]: Taking taylor expansion of 1 in U 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.022 * [taylor]: Taking taylor expansion of 1/4 in U 2.022 * [backup-simplify]: Simplify 1/4 into 1/4 2.022 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.022 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.022 * [taylor]: Taking taylor expansion of J in U 2.022 * [backup-simplify]: Simplify J into J 2.022 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.022 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.022 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.022 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.022 * [taylor]: Taking taylor expansion of -1/2 in U 2.022 * [backup-simplify]: Simplify -1/2 into -1/2 2.022 * [taylor]: Taking taylor expansion of K in U 2.022 * [backup-simplify]: Simplify K into K 2.022 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.022 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.022 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.023 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.023 * [taylor]: Taking taylor expansion of (pow U 2) 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 (* J J) into (pow J 2) 2.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.024 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.024 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.024 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.025 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.025 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (+ 0) into 0 2.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.029 * [backup-simplify]: 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 2.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.030 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.030 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.030 * [taylor]: Taking taylor expansion of 1 in U 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.030 * [taylor]: Taking taylor expansion of 1/4 in U 2.030 * [backup-simplify]: Simplify 1/4 into 1/4 2.030 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.030 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.030 * [taylor]: Taking taylor expansion of J in U 2.030 * [backup-simplify]: Simplify J into J 2.030 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.030 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.030 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.030 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.030 * [taylor]: Taking taylor expansion of -1/2 in U 2.030 * [backup-simplify]: Simplify -1/2 into -1/2 2.030 * [taylor]: Taking taylor expansion of K in U 2.030 * [backup-simplify]: Simplify K into K 2.030 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.030 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.030 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.030 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.031 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.031 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.031 * [taylor]: Taking taylor expansion of U in U 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.031 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.032 * [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))) 2.032 * [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))) 2.032 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.032 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (+ 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.034 * [backup-simplify]: Simplify (- 0) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.035 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 2.036 * [taylor]: Taking taylor expansion of 1/2 in K 2.036 * [backup-simplify]: Simplify 1/2 into 1/2 2.036 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 2.036 * [taylor]: Taking taylor expansion of J in K 2.036 * [backup-simplify]: Simplify J into J 2.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.036 * [taylor]: Taking taylor expansion of -1/2 in K 2.036 * [backup-simplify]: Simplify -1/2 into -1/2 2.036 * [taylor]: Taking taylor expansion of K in K 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.037 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.037 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.037 * [taylor]: Taking taylor expansion of 1/2 in J 2.037 * [backup-simplify]: Simplify 1/2 into 1/2 2.037 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.037 * [taylor]: Taking taylor expansion of J in J 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.037 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.037 * [taylor]: Taking taylor expansion of -1/2 in J 2.037 * [backup-simplify]: Simplify -1/2 into -1/2 2.037 * [taylor]: Taking taylor expansion of K in J 2.037 * [backup-simplify]: Simplify K into K 2.037 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.037 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.037 * [backup-simplify]: Simplify (- 0) into 0 2.037 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.038 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 2.038 * [taylor]: Taking taylor expansion of 0 in K 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [taylor]: Taking taylor expansion of 0 in J 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.038 * [taylor]: Taking taylor expansion of 0 in J 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 2.038 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.039 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.044 * [backup-simplify]: Simplify (+ 1 0) into 1 2.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.045 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.045 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.045 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.045 * [taylor]: Taking taylor expansion of -1/2 in K 2.045 * [backup-simplify]: Simplify -1/2 into -1/2 2.045 * [taylor]: Taking taylor expansion of K in K 2.045 * [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 * [taylor]: Taking taylor expansion of J in K 2.045 * [backup-simplify]: Simplify J into J 2.045 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.045 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.045 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.045 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.045 * [taylor]: Taking taylor expansion of -1/2 in J 2.045 * [backup-simplify]: Simplify -1/2 into -1/2 2.045 * [taylor]: Taking taylor expansion of K in J 2.045 * [backup-simplify]: Simplify K into K 2.045 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.045 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.045 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.045 * [taylor]: Taking taylor expansion of J in J 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.045 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.046 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.046 * [backup-simplify]: Simplify (+ 0) into 0 2.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.047 * [backup-simplify]: Simplify (- 0) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [taylor]: Taking taylor expansion of 0 in J 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in J 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.051 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.052 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.052 * [backup-simplify]: Simplify (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 2.052 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 2.052 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 2.052 * [taylor]: Taking taylor expansion of -2 in U 2.052 * [backup-simplify]: Simplify -2 into -2 2.052 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 2.052 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.052 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.052 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.052 * [taylor]: Taking taylor expansion of 1/2 in U 2.052 * [backup-simplify]: Simplify 1/2 into 1/2 2.052 * [taylor]: Taking taylor expansion of K in U 2.052 * [backup-simplify]: Simplify K into K 2.052 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.053 * [taylor]: Taking taylor expansion of J in U 2.053 * [backup-simplify]: Simplify J into J 2.053 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.053 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.053 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.053 * [taylor]: Taking taylor expansion of 1/4 in U 2.053 * [backup-simplify]: Simplify 1/4 into 1/4 2.053 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.053 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.053 * [taylor]: Taking taylor expansion of U in U 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.053 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.053 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.053 * [taylor]: Taking taylor expansion of 1/2 in U 2.053 * [backup-simplify]: Simplify 1/2 into 1/2 2.053 * [taylor]: Taking taylor expansion of K in U 2.053 * [backup-simplify]: Simplify K into K 2.053 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.053 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.053 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.054 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.054 * [taylor]: Taking taylor expansion of J in U 2.054 * [backup-simplify]: Simplify J into J 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.054 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.054 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.054 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.054 * [taylor]: Taking taylor expansion of 1 in U 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 2.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.055 * [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 2.056 * [taylor]: Taking taylor expansion of -2 in K 2.056 * [backup-simplify]: Simplify -2 into -2 2.056 * [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 2.056 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.056 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.056 * [taylor]: Taking taylor expansion of 1/2 in K 2.056 * [backup-simplify]: Simplify 1/2 into 1/2 2.056 * [taylor]: Taking taylor expansion of K in K 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.056 * [taylor]: Taking taylor expansion of J in K 2.056 * [backup-simplify]: Simplify J into J 2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.057 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.057 * [taylor]: Taking taylor expansion of 1/4 in K 2.057 * [backup-simplify]: Simplify 1/4 into 1/4 2.057 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.057 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.057 * [taylor]: Taking taylor expansion of U in K 2.057 * [backup-simplify]: Simplify U into U 2.057 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.057 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.057 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.057 * [taylor]: Taking taylor expansion of 1/2 in K 2.057 * [backup-simplify]: Simplify 1/2 into 1/2 2.057 * [taylor]: Taking taylor expansion of K in K 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.058 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.058 * [taylor]: Taking taylor expansion of J in K 2.058 * [backup-simplify]: Simplify J into J 2.058 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.059 * [backup-simplify]: Simplify (* 1 1) into 1 2.059 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.059 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.059 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.059 * [taylor]: Taking taylor expansion of 1 in K 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.059 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.059 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.060 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.060 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.062 * [backup-simplify]: Simplify (+ 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.065 * [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 2.065 * [taylor]: Taking taylor expansion of -2 in J 2.065 * [backup-simplify]: Simplify -2 into -2 2.065 * [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 2.065 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.065 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.065 * [taylor]: Taking taylor expansion of 1/2 in J 2.065 * [backup-simplify]: Simplify 1/2 into 1/2 2.065 * [taylor]: Taking taylor expansion of K in J 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)) 2.065 * [taylor]: Taking taylor expansion of J in J 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.065 * [taylor]: Taking taylor expansion of 1/4 in J 2.065 * [backup-simplify]: Simplify 1/4 into 1/4 2.065 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.066 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.066 * [taylor]: Taking taylor expansion of U in J 2.066 * [backup-simplify]: Simplify U into U 2.066 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.066 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.066 * [taylor]: Taking taylor expansion of 1/2 in J 2.066 * [backup-simplify]: Simplify 1/2 into 1/2 2.066 * [taylor]: Taking taylor expansion of K in J 2.066 * [backup-simplify]: Simplify K into K 2.066 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.066 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.066 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.066 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.066 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.067 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.067 * [taylor]: Taking taylor expansion of J in J 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.067 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.068 * [backup-simplify]: Simplify (* 1 1) into 1 2.068 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.068 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.068 * [taylor]: Taking taylor expansion of 1 in J 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [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))) 2.068 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 2.069 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.069 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (+ 0) into 0 2.070 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.072 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.073 * [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 2.074 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.075 * [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 2.075 * [taylor]: Taking taylor expansion of -2 in J 2.075 * [backup-simplify]: Simplify -2 into -2 2.075 * [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 2.075 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.075 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.075 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.075 * [taylor]: Taking taylor expansion of 1/2 in J 2.075 * [backup-simplify]: Simplify 1/2 into 1/2 2.075 * [taylor]: Taking taylor expansion of K in J 2.075 * [backup-simplify]: Simplify K into K 2.075 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.075 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.075 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.075 * [taylor]: Taking taylor expansion of J in J 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.075 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.075 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.075 * [taylor]: Taking taylor expansion of 1/4 in J 2.075 * [backup-simplify]: Simplify 1/4 into 1/4 2.075 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.075 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.075 * [taylor]: Taking taylor expansion of U in J 2.075 * [backup-simplify]: Simplify U into U 2.075 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.075 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.075 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.075 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.075 * [taylor]: Taking taylor expansion of 1/2 in J 2.075 * [backup-simplify]: Simplify 1/2 into 1/2 2.075 * [taylor]: Taking taylor expansion of K in J 2.075 * [backup-simplify]: Simplify K into K 2.075 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.075 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.076 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.076 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.076 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.076 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.076 * [taylor]: Taking taylor expansion of J in J 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.077 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.077 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.077 * [taylor]: Taking taylor expansion of 1 in J 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [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))) 2.078 * [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))) 2.078 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.078 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify (+ 0) into 0 2.079 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.081 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.081 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.083 * [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 2.083 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.084 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.084 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.084 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.085 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.085 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 2.085 * [backup-simplify]: Simplify (* -2 0) into 0 2.085 * [taylor]: Taking taylor expansion of 0 in K 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [taylor]: Taking taylor expansion of 0 in U 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ 0) into 0 2.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 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 (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.089 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 2.090 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 2.090 * [taylor]: Taking taylor expansion of (- U) in K 2.090 * [taylor]: Taking taylor expansion of U in K 2.090 * [backup-simplify]: Simplify U into U 2.090 * [backup-simplify]: Simplify (- U) into (- U) 2.090 * [taylor]: Taking taylor expansion of (- U) in U 2.090 * [taylor]: Taking taylor expansion of U in U 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [taylor]: Taking taylor expansion of 0 in U 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.096 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.098 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.098 * [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 2.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 1) into 1 2.100 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 2.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.104 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 2.107 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 2.107 * [taylor]: Taking taylor expansion of 0 in K 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [taylor]: Taking taylor expansion of 0 in U 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [taylor]: Taking taylor expansion of 0 in U 2.107 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [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))) 2.108 * [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 2.108 * [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 2.108 * [taylor]: Taking taylor expansion of -2 in U 2.108 * [backup-simplify]: Simplify -2 into -2 2.108 * [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 2.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.108 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.109 * [taylor]: Taking taylor expansion of 1/4 in U 2.109 * [backup-simplify]: Simplify 1/4 into 1/4 2.109 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.109 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.109 * [taylor]: Taking taylor expansion of J in U 2.109 * [backup-simplify]: Simplify J into J 2.109 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.109 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.109 * [taylor]: Taking taylor expansion of U in U 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.109 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.109 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.109 * [taylor]: Taking taylor expansion of 1/2 in U 2.109 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [taylor]: Taking taylor expansion of K in U 2.109 * [backup-simplify]: Simplify K into K 2.109 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.109 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.109 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.109 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.110 * [backup-simplify]: Simplify (- 0) into 0 2.110 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.110 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.110 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.111 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.111 * [taylor]: Taking taylor expansion of 1 in U 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [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))) 2.111 * [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))) 2.111 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.111 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.112 * [backup-simplify]: Simplify (+ 0) into 0 2.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.114 * [backup-simplify]: Simplify (- 0) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.116 * [backup-simplify]: 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 2.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 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 2.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.118 * [taylor]: Taking taylor expansion of 1/2 in U 2.118 * [backup-simplify]: Simplify 1/2 into 1/2 2.118 * [taylor]: Taking taylor expansion of K in U 2.118 * [backup-simplify]: Simplify K into K 2.118 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.118 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.118 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.118 * [taylor]: Taking taylor expansion of J in U 2.118 * [backup-simplify]: Simplify J into J 2.118 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.118 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.119 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.119 * [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 2.119 * [taylor]: Taking taylor expansion of -2 in K 2.119 * [backup-simplify]: Simplify -2 into -2 2.119 * [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 2.119 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.119 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.119 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.119 * [taylor]: Taking taylor expansion of 1/4 in K 2.119 * [backup-simplify]: Simplify 1/4 into 1/4 2.119 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.119 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.119 * [taylor]: Taking taylor expansion of J in K 2.119 * [backup-simplify]: Simplify J into J 2.119 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.119 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.119 * [taylor]: Taking taylor expansion of U in K 2.119 * [backup-simplify]: Simplify U into U 2.119 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.119 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.119 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.119 * [taylor]: Taking taylor expansion of 1/2 in K 2.119 * [backup-simplify]: Simplify 1/2 into 1/2 2.119 * [taylor]: Taking taylor expansion of K in K 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.120 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.120 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.120 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.120 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.120 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.121 * [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))) 2.121 * [taylor]: Taking taylor expansion of 1 in K 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [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)))) 2.121 * [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) 2.122 * [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)) 2.122 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.122 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.123 * [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 2.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.124 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.125 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.125 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.125 * [taylor]: Taking taylor expansion of 1/2 in K 2.125 * [backup-simplify]: Simplify 1/2 into 1/2 2.125 * [taylor]: Taking taylor expansion of K in K 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.125 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.125 * [taylor]: Taking taylor expansion of J in K 2.125 * [backup-simplify]: Simplify J into J 2.125 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.125 * [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 2.125 * [taylor]: Taking taylor expansion of -2 in J 2.125 * [backup-simplify]: Simplify -2 into -2 2.125 * [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 2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.125 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.126 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.126 * [taylor]: Taking taylor expansion of 1/4 in J 2.126 * [backup-simplify]: Simplify 1/4 into 1/4 2.126 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.126 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.126 * [taylor]: Taking taylor expansion of J in J 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.126 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.126 * [taylor]: Taking taylor expansion of U in J 2.126 * [backup-simplify]: Simplify U into U 2.126 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.126 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.126 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.126 * [taylor]: Taking taylor expansion of 1/2 in J 2.126 * [backup-simplify]: Simplify 1/2 into 1/2 2.126 * [taylor]: Taking taylor expansion of K in J 2.126 * [backup-simplify]: Simplify K into K 2.126 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.126 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.126 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.126 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.126 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.127 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.127 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.128 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.128 * [taylor]: Taking taylor expansion of 1 in J 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (+ 0 1) into 1 2.129 * [backup-simplify]: Simplify (sqrt 1) into 1 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.130 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.130 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.130 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.130 * [taylor]: Taking taylor expansion of 1/2 in J 2.130 * [backup-simplify]: Simplify 1/2 into 1/2 2.130 * [taylor]: Taking taylor expansion of K in J 2.130 * [backup-simplify]: Simplify K into K 2.130 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.130 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.130 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.130 * [taylor]: Taking taylor expansion of J in J 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.130 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.131 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.131 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.131 * [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 2.131 * [taylor]: Taking taylor expansion of -2 in J 2.131 * [backup-simplify]: Simplify -2 into -2 2.131 * [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 2.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.131 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.131 * [taylor]: Taking taylor expansion of 1/4 in J 2.131 * [backup-simplify]: Simplify 1/4 into 1/4 2.131 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.131 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.131 * [taylor]: Taking taylor expansion of J in J 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.131 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.131 * [taylor]: Taking taylor expansion of U in J 2.131 * [backup-simplify]: Simplify U into U 2.131 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.131 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.131 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.131 * [taylor]: Taking taylor expansion of 1/2 in J 2.131 * [backup-simplify]: Simplify 1/2 into 1/2 2.131 * [taylor]: Taking taylor expansion of K in J 2.131 * [backup-simplify]: Simplify K into K 2.131 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.132 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.132 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.132 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.132 * [backup-simplify]: Simplify (- 0) into 0 2.132 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.133 * [backup-simplify]: Simplify (* 1 1) into 1 2.133 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.133 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.133 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.133 * [taylor]: Taking taylor expansion of 1 in J 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (+ 0 1) into 1 2.134 * [backup-simplify]: Simplify (sqrt 1) into 1 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.135 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.135 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.135 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.135 * [taylor]: Taking taylor expansion of 1/2 in J 2.135 * [backup-simplify]: Simplify 1/2 into 1/2 2.135 * [taylor]: Taking taylor expansion of K in J 2.135 * [backup-simplify]: Simplify K into K 2.135 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.135 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.135 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.135 * [taylor]: Taking taylor expansion of J in J 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.136 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.136 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.136 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.136 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.136 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.136 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 2.136 * [taylor]: Taking taylor expansion of -2 in K 2.137 * [backup-simplify]: Simplify -2 into -2 2.137 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.137 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.137 * [taylor]: Taking taylor expansion of 1/2 in K 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of K in K 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.137 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.137 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.137 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 2.137 * [taylor]: Taking taylor expansion of -2 in U 2.137 * [backup-simplify]: Simplify -2 into -2 2.137 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.137 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.137 * [taylor]: Taking taylor expansion of 1/2 in U 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of K in U 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 (+ 0) into 0 2.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.140 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in K 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [taylor]: Taking taylor expansion of 0 in U 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in U 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.143 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.144 * [backup-simplify]: Simplify (- 0) into 0 2.144 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.144 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.144 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [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))) 2.150 * [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)))) 2.151 * [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))) 2.153 * [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))))) 2.153 * [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)))))) 2.153 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 2.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 2.153 * [taylor]: Taking taylor expansion of 1/4 in K 2.153 * [backup-simplify]: Simplify 1/4 into 1/4 2.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 2.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 2.154 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.154 * [taylor]: Taking taylor expansion of U in K 2.154 * [backup-simplify]: Simplify U into U 2.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.154 * [taylor]: Taking taylor expansion of 1/2 in K 2.154 * [backup-simplify]: Simplify 1/2 into 1/2 2.154 * [taylor]: Taking taylor expansion of K in K 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.154 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.154 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 2.155 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 2.155 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 2.155 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 2.155 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 2.155 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 2.155 * [taylor]: Taking taylor expansion of 1/4 in U 2.155 * [backup-simplify]: Simplify 1/4 into 1/4 2.155 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 2.155 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 2.155 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.155 * [taylor]: Taking taylor expansion of U in U 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.155 * [taylor]: Taking taylor expansion of 1/2 in U 2.155 * [backup-simplify]: Simplify 1/2 into 1/2 2.155 * [taylor]: Taking taylor expansion of K in U 2.155 * [backup-simplify]: Simplify K into K 2.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.155 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.156 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.157 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.157 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.157 * [backup-simplify]: Simplify (+ 0) into 0 2.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [taylor]: Taking taylor expansion of 0 in U 2.162 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.163 * [taylor]: Taking taylor expansion of 0 in U 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ 0) into 0 2.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.166 * [backup-simplify]: Simplify (- 0) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.166 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.171 * [backup-simplify]: Simplify (- 0) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.175 * [backup-simplify]: Simplify (+ 0) into 0 2.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.177 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.178 * [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 2.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.180 * [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 2.180 * [taylor]: Taking taylor expansion of 0 in K 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [taylor]: Taking taylor expansion of 0 in U 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.180 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [taylor]: Taking taylor expansion of 0 in U 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [taylor]: Taking taylor expansion of 0 in U 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.182 * [taylor]: Taking taylor expansion of 0 in U 2.182 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.183 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.184 * [backup-simplify]: Simplify (- 0) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 2.187 * [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)))))))) 2.187 * [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 2.187 * [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 2.187 * [taylor]: Taking taylor expansion of 2 in U 2.187 * [backup-simplify]: Simplify 2 into 2 2.187 * [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 2.187 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.187 * [taylor]: Taking taylor expansion of -1/2 in U 2.187 * [backup-simplify]: Simplify -1/2 into -1/2 2.187 * [taylor]: Taking taylor expansion of K in U 2.187 * [backup-simplify]: Simplify K into K 2.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.188 * [taylor]: Taking taylor expansion of J in U 2.188 * [backup-simplify]: Simplify J into J 2.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.188 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.188 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.188 * [taylor]: Taking taylor expansion of 1 in U 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.188 * [taylor]: Taking taylor expansion of 1/4 in U 2.188 * [backup-simplify]: Simplify 1/4 into 1/4 2.188 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.188 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.188 * [taylor]: Taking taylor expansion of J in U 2.188 * [backup-simplify]: Simplify J into J 2.188 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.188 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.188 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.188 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.188 * [taylor]: Taking taylor expansion of -1/2 in U 2.188 * [backup-simplify]: Simplify -1/2 into -1/2 2.188 * [taylor]: Taking taylor expansion of K in U 2.188 * [backup-simplify]: Simplify K into K 2.188 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.188 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.189 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.189 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.189 * [taylor]: Taking taylor expansion of U in U 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.189 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.189 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.189 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.190 * [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))) 2.190 * [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))) 2.190 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.190 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (+ 0) into 0 2.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.194 * [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 2.194 * [taylor]: Taking taylor expansion of 2 in K 2.194 * [backup-simplify]: Simplify 2 into 2 2.194 * [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 2.194 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.194 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.194 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.194 * [taylor]: Taking taylor expansion of -1/2 in K 2.194 * [backup-simplify]: Simplify -1/2 into -1/2 2.194 * [taylor]: Taking taylor expansion of K in K 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.194 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.194 * [taylor]: Taking taylor expansion of J in K 2.194 * [backup-simplify]: Simplify J into J 2.194 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.195 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.195 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.195 * [taylor]: Taking taylor expansion of 1 in K 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.195 * [taylor]: Taking taylor expansion of 1/4 in K 2.195 * [backup-simplify]: Simplify 1/4 into 1/4 2.195 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.195 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.195 * [taylor]: Taking taylor expansion of J in K 2.195 * [backup-simplify]: Simplify J into J 2.195 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.195 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.195 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.195 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.195 * [taylor]: Taking taylor expansion of -1/2 in K 2.195 * [backup-simplify]: Simplify -1/2 into -1/2 2.195 * [taylor]: Taking taylor expansion of K in K 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.197 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.197 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.197 * [taylor]: Taking taylor expansion of U in K 2.197 * [backup-simplify]: Simplify U into U 2.197 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.197 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.197 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.198 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.198 * [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))) 2.198 * [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)))) 2.199 * [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))))) 2.199 * [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)))))) 2.199 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.199 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.200 * [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 2.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.202 * [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 2.202 * [taylor]: Taking taylor expansion of 2 in J 2.202 * [backup-simplify]: Simplify 2 into 2 2.202 * [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 2.202 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.202 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.202 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.202 * [taylor]: Taking taylor expansion of -1/2 in J 2.202 * [backup-simplify]: Simplify -1/2 into -1/2 2.202 * [taylor]: Taking taylor expansion of K in J 2.202 * [backup-simplify]: Simplify K into K 2.202 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.202 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.203 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.203 * [taylor]: Taking taylor expansion of J in J 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.203 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.203 * [backup-simplify]: Simplify (- 0) into 0 2.203 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.203 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.203 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.203 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.203 * [taylor]: Taking taylor expansion of 1 in J 2.203 * [backup-simplify]: Simplify 1 into 1 2.204 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.204 * [taylor]: Taking taylor expansion of 1/4 in J 2.204 * [backup-simplify]: Simplify 1/4 into 1/4 2.204 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.204 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.204 * [taylor]: Taking taylor expansion of J in J 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.204 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.204 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.204 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.204 * [taylor]: Taking taylor expansion of -1/2 in J 2.204 * [backup-simplify]: Simplify -1/2 into -1/2 2.204 * [taylor]: Taking taylor expansion of K in J 2.204 * [backup-simplify]: Simplify K into K 2.204 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.204 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.204 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.204 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.204 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.205 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.205 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.205 * [taylor]: Taking taylor expansion of U in J 2.205 * [backup-simplify]: Simplify U into U 2.205 * [backup-simplify]: Simplify (* 1 1) into 1 2.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.205 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.206 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.206 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.206 * [backup-simplify]: Simplify (+ 1 0) into 1 2.207 * [backup-simplify]: Simplify (sqrt 1) into 1 2.207 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.208 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 2.208 * [taylor]: Taking taylor expansion of 2 in J 2.208 * [backup-simplify]: Simplify 2 into 2 2.208 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 2.208 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.208 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.208 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.208 * [taylor]: Taking taylor expansion of -1/2 in J 2.208 * [backup-simplify]: Simplify -1/2 into -1/2 2.208 * [taylor]: Taking taylor expansion of K in J 2.208 * [backup-simplify]: Simplify K into K 2.208 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.208 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.208 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.208 * [taylor]: Taking taylor expansion of J in J 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.209 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.209 * [backup-simplify]: Simplify (- 0) into 0 2.209 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.209 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.209 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.209 * [taylor]: Taking taylor expansion of 1 in J 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.209 * [taylor]: Taking taylor expansion of 1/4 in J 2.209 * [backup-simplify]: Simplify 1/4 into 1/4 2.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.209 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.209 * [taylor]: Taking taylor expansion of J in J 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.210 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.210 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.210 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.210 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.210 * [taylor]: Taking taylor expansion of -1/2 in J 2.210 * [backup-simplify]: Simplify -1/2 into -1/2 2.210 * [taylor]: Taking taylor expansion of K in J 2.210 * [backup-simplify]: Simplify K into K 2.210 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.210 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.210 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.210 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.210 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.211 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.211 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.211 * [taylor]: Taking taylor expansion of U in J 2.211 * [backup-simplify]: Simplify U into U 2.211 * [backup-simplify]: Simplify (* 1 1) into 1 2.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.211 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.211 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.212 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.212 * [backup-simplify]: Simplify (+ 1 0) into 1 2.212 * [backup-simplify]: Simplify (sqrt 1) into 1 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.214 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.214 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 2.214 * [taylor]: Taking taylor expansion of 2 in K 2.214 * [backup-simplify]: Simplify 2 into 2 2.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.214 * [taylor]: Taking taylor expansion of -1/2 in K 2.214 * [backup-simplify]: Simplify -1/2 into -1/2 2.214 * [taylor]: Taking taylor expansion of K in K 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.215 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.215 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.215 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 2.215 * [taylor]: Taking taylor expansion of 2 in U 2.215 * [backup-simplify]: Simplify 2 into 2 2.215 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.215 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.215 * [taylor]: Taking taylor expansion of -1/2 in U 2.215 * [backup-simplify]: Simplify -1/2 into -1/2 2.215 * [taylor]: Taking taylor expansion of K in U 2.215 * [backup-simplify]: Simplify K into K 2.215 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.215 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.215 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.216 * [backup-simplify]: Simplify (+ 0) into 0 2.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.218 * [backup-simplify]: Simplify (- 0) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.220 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.220 * [taylor]: Taking taylor expansion of 0 in K 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [taylor]: Taking taylor expansion of 0 in U 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.221 * [taylor]: Taking taylor expansion of 0 in U 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.222 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.222 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.222 * [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))) 2.222 * [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)))) 2.224 * [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))) 2.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.227 * [backup-simplify]: Simplify (- 0) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [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)))) 2.231 * [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)))) 2.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 2.231 * [taylor]: Taking taylor expansion of 1/4 in K 2.231 * [backup-simplify]: Simplify 1/4 into 1/4 2.231 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 2.231 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 2.231 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.231 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.231 * [taylor]: Taking taylor expansion of -1/2 in K 2.231 * [backup-simplify]: Simplify -1/2 into -1/2 2.231 * [taylor]: Taking taylor expansion of K in K 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.232 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.232 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.232 * [taylor]: Taking taylor expansion of U in K 2.232 * [backup-simplify]: Simplify U into U 2.232 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.232 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 2.232 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 2.233 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 2.233 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 2.233 * [taylor]: Taking taylor expansion of 1/4 in U 2.233 * [backup-simplify]: Simplify 1/4 into 1/4 2.233 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 2.233 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.233 * [taylor]: Taking taylor expansion of -1/2 in U 2.233 * [backup-simplify]: Simplify -1/2 into -1/2 2.233 * [taylor]: Taking taylor expansion of K in U 2.233 * [backup-simplify]: Simplify K into K 2.233 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.233 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.233 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.233 * [taylor]: Taking taylor expansion of U in U 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.233 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.234 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.234 * [backup-simplify]: Simplify (* 1 1) into 1 2.234 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.235 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 2.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.236 * [backup-simplify]: Simplify (+ 0) into 0 2.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.238 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.238 * [backup-simplify]: Simplify (- 0) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.239 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [taylor]: Taking taylor expansion of 0 in U 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.240 * [taylor]: Taking taylor expansion of 0 in U 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (+ 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.243 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.245 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.245 * [backup-simplify]: Simplify (+ 0) into 0 2.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.248 * [backup-simplify]: Simplify (- 0) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.249 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.250 * [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 2.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 2.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.256 * [backup-simplify]: Simplify (- 0) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [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 2.261 * [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 2.261 * [taylor]: Taking taylor expansion of 0 in K 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [taylor]: Taking taylor expansion of 0 in U 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 2.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 2.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 2.262 * [taylor]: Taking taylor expansion of 0 in U 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [taylor]: Taking taylor expansion of 0 in U 2.262 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.263 * [taylor]: Taking taylor expansion of 0 in U 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.265 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.265 * [backup-simplify]: Simplify (- 0) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.266 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 2.266 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.267 * [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)))) 2.267 * [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 2.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.267 * [taylor]: Taking taylor expansion of 1/4 in J 2.267 * [backup-simplify]: Simplify 1/4 into 1/4 2.267 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.267 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.267 * [taylor]: Taking taylor expansion of U in J 2.267 * [backup-simplify]: Simplify U into U 2.267 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.267 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.267 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.267 * [taylor]: Taking taylor expansion of 1/2 in J 2.267 * [backup-simplify]: Simplify 1/2 into 1/2 2.267 * [taylor]: Taking taylor expansion of K in J 2.267 * [backup-simplify]: Simplify K into K 2.267 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.267 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.267 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.267 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.267 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.267 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.267 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.267 * [taylor]: Taking taylor expansion of J in J 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.268 * [backup-simplify]: Simplify (* 1 1) into 1 2.268 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.268 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.268 * [taylor]: Taking taylor expansion of 1/4 in K 2.268 * [backup-simplify]: Simplify 1/4 into 1/4 2.268 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.268 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.268 * [taylor]: Taking taylor expansion of U in K 2.268 * [backup-simplify]: Simplify U into U 2.268 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.268 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.268 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.268 * [taylor]: Taking taylor expansion of 1/2 in K 2.268 * [backup-simplify]: Simplify 1/2 into 1/2 2.268 * [taylor]: Taking taylor expansion of K in K 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.269 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.269 * [taylor]: Taking taylor expansion of J in K 2.269 * [backup-simplify]: Simplify J into J 2.269 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.269 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.269 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.269 * [taylor]: Taking taylor expansion of 1/4 in U 2.269 * [backup-simplify]: Simplify 1/4 into 1/4 2.269 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.270 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.270 * [taylor]: Taking taylor expansion of U in U 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.270 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.270 * [taylor]: Taking taylor expansion of 1/2 in U 2.270 * [backup-simplify]: Simplify 1/2 into 1/2 2.270 * [taylor]: Taking taylor expansion of K in U 2.270 * [backup-simplify]: Simplify K into K 2.270 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.270 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.270 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.270 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.270 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.270 * [backup-simplify]: Simplify (- 0) into 0 2.270 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.270 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.270 * [taylor]: Taking taylor expansion of J in U 2.270 * [backup-simplify]: Simplify J into J 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.271 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.271 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.271 * [taylor]: Taking taylor expansion of 1/4 in U 2.271 * [backup-simplify]: Simplify 1/4 into 1/4 2.271 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.271 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.271 * [taylor]: Taking taylor expansion of U in U 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.271 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.271 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.271 * [taylor]: Taking taylor expansion of 1/2 in U 2.271 * [backup-simplify]: Simplify 1/2 into 1/2 2.271 * [taylor]: Taking taylor expansion of K in U 2.271 * [backup-simplify]: Simplify K into K 2.271 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.271 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.271 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.271 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.272 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.272 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.272 * [taylor]: Taking taylor expansion of J in U 2.272 * [backup-simplify]: Simplify J into J 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.272 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.272 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.272 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.272 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.272 * [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))) 2.272 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.272 * [taylor]: Taking taylor expansion of 1/4 in K 2.272 * [backup-simplify]: Simplify 1/4 into 1/4 2.272 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.272 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.272 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.272 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.272 * [taylor]: Taking taylor expansion of 1/2 in K 2.272 * [backup-simplify]: Simplify 1/2 into 1/2 2.272 * [taylor]: Taking taylor expansion of K in K 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.273 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.273 * [taylor]: Taking taylor expansion of J in K 2.273 * [backup-simplify]: Simplify J into J 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.274 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.274 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 2.274 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 2.274 * [taylor]: Taking taylor expansion of 1/4 in J 2.274 * [backup-simplify]: Simplify 1/4 into 1/4 2.274 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.274 * [taylor]: Taking taylor expansion of J in J 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.274 * [backup-simplify]: Simplify 1/4 into 1/4 2.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.275 * [backup-simplify]: Simplify (+ 0) into 0 2.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.276 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.277 * [backup-simplify]: Simplify (- 0) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.277 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.278 * [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 2.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.278 * [taylor]: Taking taylor expansion of 0 in K 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [taylor]: Taking taylor expansion of 0 in J 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.278 * [backup-simplify]: Simplify (+ 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.279 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 2.279 * [taylor]: Taking taylor expansion of 0 in J 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.281 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.283 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.284 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.286 * [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 2.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.286 * [taylor]: Taking taylor expansion of 0 in K 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [taylor]: Taking taylor expansion of 0 in J 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [taylor]: Taking taylor expansion of 0 in J 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.288 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 2.289 * [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))) 2.289 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 2.289 * [taylor]: Taking taylor expansion of 1/16 in J 2.289 * [backup-simplify]: Simplify 1/16 into 1/16 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow J 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 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 2.290 * [backup-simplify]: Simplify 1/16 into 1/16 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.295 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.300 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.302 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.303 * [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 2.305 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.305 * [taylor]: Taking taylor expansion of 0 in K 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [taylor]: Taking taylor expansion of 0 in J 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [taylor]: Taking taylor expansion of 0 in J 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [taylor]: Taking taylor expansion of 0 in J 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 2.311 * [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 2.312 * [taylor]: Taking taylor expansion of 0 in J 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.318 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.320 * [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 2.321 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.325 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.325 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.330 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.331 * [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 2.333 * [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 2.333 * [taylor]: Taking taylor expansion of 0 in K 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [taylor]: Taking taylor expansion of 0 in J 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [taylor]: Taking taylor expansion of 0 in J 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [taylor]: Taking taylor expansion of 0 in J 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [taylor]: Taking taylor expansion of 0 in J 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.338 * [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 2.340 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 2.342 * [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))) 2.342 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 2.342 * [taylor]: Taking taylor expansion of 1/96 in J 2.342 * [backup-simplify]: Simplify 1/96 into 1/96 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 2.342 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.342 * [taylor]: Taking taylor expansion of J in J 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (* 1 1) into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.343 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 2.343 * [backup-simplify]: Simplify 1/96 into 1/96 2.344 * [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))))) 2.345 * [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)))) 2.345 * [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 2.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.345 * [taylor]: Taking taylor expansion of 1/4 in J 2.345 * [backup-simplify]: Simplify 1/4 into 1/4 2.345 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.345 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.345 * [taylor]: Taking taylor expansion of J in J 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.345 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.345 * [taylor]: Taking taylor expansion of U in J 2.345 * [backup-simplify]: Simplify U into U 2.345 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.345 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.345 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.345 * [taylor]: Taking taylor expansion of 1/2 in J 2.345 * [backup-simplify]: Simplify 1/2 into 1/2 2.345 * [taylor]: Taking taylor expansion of K in J 2.345 * [backup-simplify]: Simplify K into K 2.345 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.345 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.345 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.345 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.346 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.347 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.347 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.347 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.347 * [taylor]: Taking taylor expansion of 1/4 in K 2.347 * [backup-simplify]: Simplify 1/4 into 1/4 2.347 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.347 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.347 * [taylor]: Taking taylor expansion of J in K 2.347 * [backup-simplify]: Simplify J into J 2.347 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.347 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.347 * [taylor]: Taking taylor expansion of U in K 2.347 * [backup-simplify]: Simplify U into U 2.347 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.347 * [taylor]: Taking taylor expansion of 1/2 in K 2.347 * [backup-simplify]: Simplify 1/2 into 1/2 2.347 * [taylor]: Taking taylor expansion of K in K 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.348 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.348 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.348 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.348 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.349 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.349 * [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))) 2.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.349 * [taylor]: Taking taylor expansion of 1/4 in U 2.349 * [backup-simplify]: Simplify 1/4 into 1/4 2.349 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.349 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.349 * [taylor]: Taking taylor expansion of J in U 2.349 * [backup-simplify]: Simplify J into J 2.349 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.349 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.349 * [taylor]: Taking taylor expansion of U in U 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.349 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.349 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.349 * [taylor]: Taking taylor expansion of 1/2 in U 2.349 * [backup-simplify]: Simplify 1/2 into 1/2 2.349 * [taylor]: Taking taylor expansion of K in U 2.349 * [backup-simplify]: Simplify K into K 2.349 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.349 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.350 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.350 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.350 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.350 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.350 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.351 * [backup-simplify]: Simplify (* 1 1) into 1 2.351 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.351 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.351 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.351 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.351 * [taylor]: Taking taylor expansion of 1/4 in U 2.351 * [backup-simplify]: Simplify 1/4 into 1/4 2.351 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.351 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.351 * [taylor]: Taking taylor expansion of J in U 2.351 * [backup-simplify]: Simplify J into J 2.351 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.351 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.351 * [taylor]: Taking taylor expansion of U in U 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.351 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.351 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.351 * [taylor]: Taking taylor expansion of 1/2 in U 2.351 * [backup-simplify]: Simplify 1/2 into 1/2 2.352 * [taylor]: Taking taylor expansion of K in U 2.352 * [backup-simplify]: Simplify K into K 2.352 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.352 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.352 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.352 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.352 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.352 * [backup-simplify]: Simplify (- 0) into 0 2.352 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.352 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.353 * [backup-simplify]: Simplify (* 1 1) into 1 2.353 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.353 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.353 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.353 * [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))) 2.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 2.354 * [taylor]: Taking taylor expansion of 1/4 in K 2.354 * [backup-simplify]: Simplify 1/4 into 1/4 2.354 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 2.354 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.354 * [taylor]: Taking taylor expansion of J in K 2.354 * [backup-simplify]: Simplify J into J 2.354 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.354 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.354 * [taylor]: Taking taylor expansion of 1/2 in K 2.354 * [backup-simplify]: Simplify 1/2 into 1/2 2.354 * [taylor]: Taking taylor expansion of K in K 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.354 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.355 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.355 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.355 * [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))) 2.355 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.355 * [taylor]: Taking taylor expansion of 1/4 in J 2.355 * [backup-simplify]: Simplify 1/4 into 1/4 2.355 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.355 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.355 * [taylor]: Taking taylor expansion of J in J 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) 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)) 2.355 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 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)) 2.357 * [backup-simplify]: Simplify (* 1 1) into 1 2.357 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.357 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.357 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.357 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.357 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.357 * [backup-simplify]: Simplify (+ 0) into 0 2.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.359 * [backup-simplify]: Simplify (- 0) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.360 * [backup-simplify]: 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 2.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.361 * [taylor]: Taking taylor expansion of 0 in K 2.361 * [backup-simplify]: Simplify 0 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 2.361 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.361 * [backup-simplify]: 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 2.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.361 * [taylor]: Taking taylor expansion of 0 in J 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.362 * [backup-simplify]: Simplify (+ 0) into 0 2.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.363 * [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 2.364 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.364 * [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 2.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.369 * [backup-simplify]: 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 2.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.370 * [taylor]: Taking taylor expansion of 0 in K 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [taylor]: Taking taylor expansion of 0 in J 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [taylor]: Taking taylor expansion of 0 in J 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.371 * [backup-simplify]: 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 2.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.371 * [taylor]: Taking taylor expansion of 0 in J 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.372 * [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)))) 2.372 * [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)))) 2.372 * [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 2.372 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.372 * [taylor]: Taking taylor expansion of 1/4 in J 2.372 * [backup-simplify]: Simplify 1/4 into 1/4 2.372 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.372 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.372 * [taylor]: Taking taylor expansion of J in J 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.372 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.372 * [taylor]: Taking taylor expansion of -1/2 in J 2.372 * [backup-simplify]: Simplify -1/2 into -1/2 2.372 * [taylor]: Taking taylor expansion of K in J 2.372 * [backup-simplify]: Simplify K into K 2.372 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.372 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.372 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.372 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.372 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.373 * [backup-simplify]: Simplify (- 0) into 0 2.373 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.373 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.373 * [taylor]: Taking taylor expansion of U in J 2.373 * [backup-simplify]: Simplify U into U 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.373 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.373 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.373 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.373 * [taylor]: Taking taylor expansion of 1/4 in K 2.373 * [backup-simplify]: Simplify 1/4 into 1/4 2.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.373 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.373 * [taylor]: Taking taylor expansion of J in K 2.373 * [backup-simplify]: Simplify J into J 2.373 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.373 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.373 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.373 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.373 * [taylor]: Taking taylor expansion of -1/2 in K 2.374 * [backup-simplify]: Simplify -1/2 into -1/2 2.374 * [taylor]: Taking taylor expansion of K in K 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.374 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.374 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.374 * [taylor]: Taking taylor expansion of U in K 2.374 * [backup-simplify]: Simplify U into U 2.374 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.374 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.374 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.374 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.374 * [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))) 2.374 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.374 * [taylor]: Taking taylor expansion of 1/4 in U 2.374 * [backup-simplify]: Simplify 1/4 into 1/4 2.374 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.374 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.374 * [taylor]: Taking taylor expansion of J in U 2.374 * [backup-simplify]: Simplify J into J 2.374 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.374 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.374 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.374 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.374 * [taylor]: Taking taylor expansion of -1/2 in U 2.374 * [backup-simplify]: Simplify -1/2 into -1/2 2.375 * [taylor]: Taking taylor expansion of K in U 2.375 * [backup-simplify]: Simplify K into K 2.375 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.375 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.375 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.375 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.375 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.375 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.375 * [taylor]: Taking taylor expansion of U in U 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.375 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.376 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.376 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.376 * [taylor]: Taking taylor expansion of 1/4 in U 2.376 * [backup-simplify]: Simplify 1/4 into 1/4 2.376 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.376 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.376 * [taylor]: Taking taylor expansion of J in U 2.376 * [backup-simplify]: Simplify J into J 2.376 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.376 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.376 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.376 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.376 * [taylor]: Taking taylor expansion of -1/2 in U 2.376 * [backup-simplify]: Simplify -1/2 into -1/2 2.376 * [taylor]: Taking taylor expansion of K in U 2.376 * [backup-simplify]: Simplify K into K 2.376 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.376 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.376 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.376 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.376 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.376 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.376 * [taylor]: Taking taylor expansion of U in U 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.377 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.377 * [backup-simplify]: Simplify (* 1 1) into 1 2.377 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.377 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.377 * [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))) 2.377 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 2.377 * [taylor]: Taking taylor expansion of 1/4 in K 2.377 * [backup-simplify]: Simplify 1/4 into 1/4 2.377 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 2.377 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.377 * [taylor]: Taking taylor expansion of J in K 2.377 * [backup-simplify]: Simplify J into J 2.377 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.377 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.377 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.377 * [taylor]: Taking taylor expansion of -1/2 in K 2.377 * [backup-simplify]: Simplify -1/2 into -1/2 2.377 * [taylor]: Taking taylor expansion of K in K 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.378 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.378 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.378 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.378 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.378 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.378 * [taylor]: Taking taylor expansion of 1/4 in J 2.378 * [backup-simplify]: Simplify 1/4 into 1/4 2.378 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.378 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.378 * [taylor]: Taking taylor expansion of J in J 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.378 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.378 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.378 * [taylor]: Taking taylor expansion of -1/2 in J 2.378 * [backup-simplify]: Simplify -1/2 into -1/2 2.378 * [taylor]: Taking taylor expansion of K in J 2.378 * [backup-simplify]: Simplify K into K 2.378 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.378 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.378 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.378 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.379 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.379 * [backup-simplify]: Simplify (* 1 1) into 1 2.379 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.379 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.379 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.379 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.380 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.380 * [backup-simplify]: Simplify (+ 0) into 0 2.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.382 * [backup-simplify]: Simplify (- 0) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.382 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.383 * [backup-simplify]: 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 2.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.383 * [taylor]: Taking taylor expansion of 0 in K 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [taylor]: Taking taylor expansion of 0 in J 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.384 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.384 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.384 * [taylor]: Taking taylor expansion of 0 in J 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.385 * [backup-simplify]: Simplify (+ 0) into 0 2.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.387 * [backup-simplify]: Simplify (- 0) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.388 * [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 2.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.395 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.396 * [backup-simplify]: 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 2.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.397 * [taylor]: Taking taylor expansion of 0 in K 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [taylor]: Taking taylor expansion of 0 in J 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [taylor]: Taking taylor expansion of 0 in J 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.399 * [backup-simplify]: 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 2.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.400 * [taylor]: Taking taylor expansion of 0 in J 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.401 * [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)))) 2.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2) 2.401 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* 2 J)) into (* 2 (* (cos (* 1/2 K)) J)) 2.401 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0 2.401 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.401 * [taylor]: Taking taylor expansion of 2 in J 2.401 * [backup-simplify]: Simplify 2 into 2 2.401 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.401 * [taylor]: Taking taylor expansion of 1/2 in J 2.401 * [backup-simplify]: Simplify 1/2 into 1/2 2.401 * [taylor]: Taking taylor expansion of K in J 2.401 * [backup-simplify]: Simplify K into K 2.401 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.401 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.401 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.401 * [taylor]: Taking taylor expansion of J in J 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.402 * [taylor]: Taking taylor expansion of 2 in K 2.402 * [backup-simplify]: Simplify 2 into 2 2.402 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.402 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.402 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.402 * [taylor]: Taking taylor expansion of 1/2 in K 2.402 * [backup-simplify]: Simplify 1/2 into 1/2 2.402 * [taylor]: Taking taylor expansion of K in K 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.403 * [taylor]: Taking taylor expansion of J in K 2.403 * [backup-simplify]: Simplify J into J 2.403 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.403 * [taylor]: Taking taylor expansion of 2 in K 2.403 * [backup-simplify]: Simplify 2 into 2 2.403 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.403 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.403 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.403 * [taylor]: Taking taylor expansion of 1/2 in K 2.403 * [backup-simplify]: Simplify 1/2 into 1/2 2.403 * [taylor]: Taking taylor expansion of K in K 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.405 * [taylor]: Taking taylor expansion of J in K 2.405 * [backup-simplify]: Simplify J into J 2.405 * [backup-simplify]: Simplify (* 1 J) into J 2.405 * [backup-simplify]: Simplify (* 2 J) into (* 2 J) 2.405 * [taylor]: Taking taylor expansion of (* 2 J) in J 2.405 * [taylor]: Taking taylor expansion of 2 in J 2.405 * [backup-simplify]: Simplify 2 into 2 2.405 * [taylor]: Taking taylor expansion of J in J 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (* 2 0) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (+ 0) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.407 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0 2.407 * [taylor]: Taking taylor expansion of 0 in J 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.408 * [backup-simplify]: Simplify 2 into 2 2.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.411 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J)) 2.411 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J 2.411 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 2.411 * [taylor]: Taking taylor expansion of 1/4 in J 2.411 * [backup-simplify]: Simplify 1/4 into 1/4 2.411 * [taylor]: Taking taylor expansion of J in J 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.412 * [backup-simplify]: Simplify (- 0) into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.415 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 2.418 * [taylor]: Taking taylor expansion of 0 in J 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 2.419 * [backup-simplify]: Simplify (- 1/4) into -1/4 2.419 * [backup-simplify]: Simplify -1/4 into -1/4 2.419 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.425 * [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 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.426 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J) 2.426 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 2.426 * [taylor]: Taking taylor expansion of 1/192 in J 2.426 * [backup-simplify]: Simplify 1/192 into 1/192 2.427 * [taylor]: Taking taylor expansion of J in J 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (* 1/192 0) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 2.428 * [backup-simplify]: Simplify (- 0) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J))) 2.428 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.428 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 2.428 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.428 * [taylor]: Taking taylor expansion of 2 in J 2.428 * [backup-simplify]: Simplify 2 into 2 2.428 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.428 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.428 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.428 * [taylor]: Taking taylor expansion of 1/2 in J 2.428 * [backup-simplify]: Simplify 1/2 into 1/2 2.428 * [taylor]: Taking taylor expansion of K in J 2.428 * [backup-simplify]: Simplify K into K 2.428 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.428 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.428 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.428 * [taylor]: Taking taylor expansion of J in J 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.428 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.429 * [backup-simplify]: Simplify (- 0) into 0 2.429 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.429 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.429 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.429 * [taylor]: Taking taylor expansion of 2 in K 2.429 * [backup-simplify]: Simplify 2 into 2 2.429 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.429 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.429 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.429 * [taylor]: Taking taylor expansion of 1/2 in K 2.429 * [backup-simplify]: Simplify 1/2 into 1/2 2.429 * [taylor]: Taking taylor expansion of K in K 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.429 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.429 * [taylor]: Taking taylor expansion of J in K 2.429 * [backup-simplify]: Simplify J into J 2.429 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.429 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.429 * [taylor]: Taking taylor expansion of 2 in K 2.429 * [backup-simplify]: Simplify 2 into 2 2.430 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.430 * [taylor]: Taking taylor expansion of 1/2 in K 2.430 * [backup-simplify]: Simplify 1/2 into 1/2 2.430 * [taylor]: Taking taylor expansion of K in K 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.430 * [taylor]: Taking taylor expansion of J in K 2.430 * [backup-simplify]: Simplify J into J 2.430 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.430 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.430 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.430 * [taylor]: Taking taylor expansion of 2 in J 2.430 * [backup-simplify]: Simplify 2 into 2 2.430 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.430 * [taylor]: Taking taylor expansion of 1/2 in J 2.430 * [backup-simplify]: Simplify 1/2 into 1/2 2.430 * [taylor]: Taking taylor expansion of K in J 2.430 * [backup-simplify]: Simplify K into K 2.430 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.430 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.430 * [taylor]: Taking taylor expansion of J in J 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.431 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.431 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.431 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.431 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.431 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.431 * [taylor]: Taking taylor expansion of 0 in J 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (+ 0) into 0 2.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 2.435 * [taylor]: Taking taylor expansion of 0 in J 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.436 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.437 * [backup-simplify]: Simplify (- 0) into 0 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 2.440 * [taylor]: Taking taylor expansion of 0 in J 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 2.445 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.445 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.445 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.445 * [taylor]: Taking taylor expansion of -2 in J 2.445 * [backup-simplify]: Simplify -2 into -2 2.445 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.445 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.445 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.445 * [taylor]: Taking taylor expansion of -1/2 in J 2.445 * [backup-simplify]: Simplify -1/2 into -1/2 2.445 * [taylor]: Taking taylor expansion of K in J 2.445 * [backup-simplify]: Simplify K into K 2.445 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.445 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.445 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.445 * [taylor]: Taking taylor expansion of J in J 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.446 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.446 * [backup-simplify]: Simplify (- 0) into 0 2.446 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.446 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.446 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.446 * [taylor]: Taking taylor expansion of -2 in K 2.446 * [backup-simplify]: Simplify -2 into -2 2.446 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.446 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.446 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.446 * [taylor]: Taking taylor expansion of -1/2 in K 2.446 * [backup-simplify]: Simplify -1/2 into -1/2 2.446 * [taylor]: Taking taylor expansion of K in K 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.448 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.448 * [taylor]: Taking taylor expansion of J in K 2.448 * [backup-simplify]: Simplify J into J 2.448 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.448 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.448 * [taylor]: Taking taylor expansion of -2 in K 2.448 * [backup-simplify]: Simplify -2 into -2 2.448 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.448 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.448 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.448 * [taylor]: Taking taylor expansion of -1/2 in K 2.448 * [backup-simplify]: Simplify -1/2 into -1/2 2.448 * [taylor]: Taking taylor expansion of K in K 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.449 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.449 * [taylor]: Taking taylor expansion of J in K 2.449 * [backup-simplify]: Simplify J into J 2.449 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.449 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.449 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.449 * [taylor]: Taking taylor expansion of -2 in J 2.449 * [backup-simplify]: Simplify -2 into -2 2.449 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.449 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.449 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.449 * [taylor]: Taking taylor expansion of -1/2 in J 2.449 * [backup-simplify]: Simplify -1/2 into -1/2 2.449 * [taylor]: Taking taylor expansion of K in J 2.449 * [backup-simplify]: Simplify K into K 2.449 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.449 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.449 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.449 * [taylor]: Taking taylor expansion of J in J 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.449 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.450 * [backup-simplify]: Simplify (- 0) into 0 2.450 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.450 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.450 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.450 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.450 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.450 * [taylor]: Taking taylor expansion of 0 in J 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (+ 0) into 0 2.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.452 * [backup-simplify]: Simplify (- 0) into 0 2.452 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.454 * [taylor]: Taking taylor expansion of 0 in J 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.456 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.460 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.460 * [taylor]: Taking taylor expansion of 0 in J 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.466 * [backup-simplify]: Simplify (- 0) into 0 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 2.470 * * * [progress]: simplifying candidates 2.470 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 14 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> 2.470 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 19 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 2.470 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 36 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 40 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 2.471 * * * * [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))))))> 2.471 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 2.471 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 62 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 2.472 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 88 / 145 ] simplifiying candidate # 2.473 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 103 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 110 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 2.474 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> 2.474 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> 2.475 * * * * [progress]: [ 133 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 2.475 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 2.476 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 2.476 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 2.476 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 2.476 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 2.476 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 2.477 * [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))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1)))) (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (+ 1 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (+ 1 1) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (log (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (exp (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* 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 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 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 2) 2) (* (* 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)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 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)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (sqrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (sqrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* U U) (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2)))) (* (/ (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))) (/ 1 (cos (/ K 2)))) (* (/ U (* 2 J)) (/ U (* 2 J))) (* 1 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* U U) (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ 1 (* (cos (/ K 2)) (* 2 J)))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* 2 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (sqrt U) (cos (/ K 2)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ 1 (cos (/ K 2)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) U) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ (cbrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ (sqrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) U) (* U (/ U (* (cos (/ K 2)) (* 2 J)))) (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J)) (+ (log (cos (/ K 2))) (+ (log 2) (log J))) (+ (log (cos (/ K 2))) (log (* 2 J))) (log (* (cos (/ K 2)) (* 2 J))) (exp (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J))) (* (cbrt (* (cos (/ K 2)) (* 2 J))) (cbrt (* (cos (/ K 2)) (* 2 J)))) (cbrt (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) 2) (* (cbrt (cos (/ K 2))) (* 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)) 2.481 * * [simplify]: iteration 0: 236 enodes 2.562 * * [simplify]: iteration 1: 705 enodes 2.775 * * [simplify]: iteration 2: 2009 enodes 3.158 * * [simplify]: iteration complete: 2009 enodes 3.159 * * [simplify]: Extracting #0: cost 95 inf + 0 3.160 * * [simplify]: Extracting #1: cost 598 inf + 4 3.162 * * [simplify]: Extracting #2: cost 824 inf + 3635 3.167 * * [simplify]: Extracting #3: cost 770 inf + 13666 3.172 * * [simplify]: Extracting #4: cost 715 inf + 20409 3.183 * * [simplify]: Extracting #5: cost 536 inf + 68908 3.242 * * [simplify]: Extracting #6: cost 170 inf + 212602 3.306 * * [simplify]: Extracting #7: cost 31 inf + 267786 3.384 * * [simplify]: Extracting #8: cost 1 inf + 278192 3.459 * * [simplify]: Extracting #9: cost 0 inf + 275858 3.520 * * [simplify]: Extracting #10: cost 0 inf + 275538 3.608 * [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))) (* (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)) (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))) (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))) (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))) (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))) (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (exp (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (* (* (* (* (* (* J J) J) (* 4 -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 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))) (* (* (* (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)) (* J J)) (* (* J (* (* (* 2 (cos (/ K 2))) (* 2 (cos (/ K 2)))) -2)) (cos (/ K 2)))) (* (* (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)) (* (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))))) (* (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (* (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (* (* J -2) (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (sqrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (sqrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (* (* J (* -2 (cos (/ K 2)))) (* (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))))) (* (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (* (* J -2) (cos (/ K 2)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))) (* (* J -2) (cos (/ K 2))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))) (* (* J -2) (cos (/ K 2))) (* (* -2 (cos (/ K 2))) (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)) (* J -2)) (cos (/ K 2))) (* (* J (* -2 (cos (/ K 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))) (real->posit16 (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) 2 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 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))) (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) 3.624 * * * [progress]: adding candidates to table 5.724 * * [progress]: iteration 2 / 4 5.724 * * * [progress]: picking best candidate 5.791 * * * * [pick]: Picked # 5.791 * * * [progress]: localizing error 5.864 * * * [progress]: generating rewritten candidates 5.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.986 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 6.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 2) 6.437 * * * [progress]: generating series expansions 6.437 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 6.438 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 6.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.438 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.438 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.438 * [taylor]: Taking taylor expansion of 1/4 in J 6.438 * [backup-simplify]: Simplify 1/4 into 1/4 6.438 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.438 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.438 * [taylor]: Taking taylor expansion of U in J 6.438 * [backup-simplify]: Simplify U into U 6.438 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.438 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.438 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.438 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.438 * [taylor]: Taking taylor expansion of 1/2 in J 6.438 * [backup-simplify]: Simplify 1/2 into 1/2 6.438 * [taylor]: Taking taylor expansion of K in J 6.438 * [backup-simplify]: Simplify K into K 6.438 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.438 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.438 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.438 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.439 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.440 * [backup-simplify]: Simplify (- 0) into 0 6.440 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.440 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.440 * [taylor]: Taking taylor expansion of J in J 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.440 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.441 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.441 * [taylor]: Taking taylor expansion of 1 in J 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.441 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.442 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.442 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.443 * [backup-simplify]: Simplify (+ 0) into 0 6.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.445 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.445 * [backup-simplify]: Simplify (- 0) into 0 6.446 * [backup-simplify]: Simplify (+ 0 0) into 0 6.446 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.446 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.447 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.448 * [backup-simplify]: Simplify (+ 0 0) into 0 6.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.448 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.448 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.448 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.448 * [taylor]: Taking taylor expansion of 1/4 in K 6.448 * [backup-simplify]: Simplify 1/4 into 1/4 6.448 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.448 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.448 * [taylor]: Taking taylor expansion of U in K 6.448 * [backup-simplify]: Simplify U into U 6.449 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.449 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.449 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.449 * [taylor]: Taking taylor expansion of 1/2 in K 6.449 * [backup-simplify]: Simplify 1/2 into 1/2 6.449 * [taylor]: Taking taylor expansion of K in K 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.450 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.450 * [taylor]: Taking taylor expansion of J in K 6.450 * [backup-simplify]: Simplify J into J 6.450 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.450 * [backup-simplify]: Simplify (* 1 1) into 1 6.451 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.451 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.451 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.451 * [taylor]: Taking taylor expansion of 1 in K 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.451 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.451 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.451 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.452 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.452 * [backup-simplify]: Simplify (+ 0) into 0 6.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.453 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.454 * [backup-simplify]: Simplify (+ 0 0) into 0 6.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.455 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.455 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.455 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.455 * [taylor]: Taking taylor expansion of 1/4 in U 6.455 * [backup-simplify]: Simplify 1/4 into 1/4 6.455 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.455 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.455 * [taylor]: Taking taylor expansion of U in U 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 1 into 1 6.455 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.455 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.455 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.455 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.455 * [taylor]: Taking taylor expansion of 1/2 in U 6.455 * [backup-simplify]: Simplify 1/2 into 1/2 6.455 * [taylor]: Taking taylor expansion of K in U 6.455 * [backup-simplify]: Simplify K into K 6.455 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.456 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.456 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.456 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.456 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.456 * [backup-simplify]: Simplify (- 0) into 0 6.456 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.456 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.456 * [taylor]: Taking taylor expansion of J in U 6.456 * [backup-simplify]: Simplify J into J 6.457 * [backup-simplify]: Simplify (* 1 1) into 1 6.457 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.457 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.457 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.457 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.457 * [taylor]: Taking taylor expansion of 1 in U 6.457 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (+ 0 1) into 1 6.458 * [backup-simplify]: Simplify (sqrt 1) into 1 6.459 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.459 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.459 * [taylor]: Taking taylor expansion of 1/4 in U 6.460 * [backup-simplify]: Simplify 1/4 into 1/4 6.460 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.460 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.460 * [taylor]: Taking taylor expansion of U in U 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.460 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.460 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.460 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.460 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.460 * [taylor]: Taking taylor expansion of 1/2 in U 6.460 * [backup-simplify]: Simplify 1/2 into 1/2 6.460 * [taylor]: Taking taylor expansion of K in U 6.460 * [backup-simplify]: Simplify K into K 6.460 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.460 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.460 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.460 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.460 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.461 * [backup-simplify]: Simplify (- 0) into 0 6.461 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.461 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.461 * [taylor]: Taking taylor expansion of J in U 6.461 * [backup-simplify]: Simplify J into J 6.461 * [backup-simplify]: Simplify (* 1 1) into 1 6.461 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.461 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.462 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.462 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.462 * [taylor]: Taking taylor expansion of 1 in U 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (+ 0 1) into 1 6.463 * [backup-simplify]: Simplify (sqrt 1) into 1 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.464 * [taylor]: Taking taylor expansion of 1 in K 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [taylor]: Taking taylor expansion of 1 in J 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [taylor]: Taking taylor expansion of 0 in K 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [taylor]: Taking taylor expansion of 0 in J 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [taylor]: Taking taylor expansion of 0 in J 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.465 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.466 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.466 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.466 * [taylor]: Taking taylor expansion of 1/8 in K 6.466 * [backup-simplify]: Simplify 1/8 into 1/8 6.466 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.466 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.466 * [taylor]: Taking taylor expansion of 1/2 in K 6.466 * [backup-simplify]: Simplify 1/2 into 1/2 6.466 * [taylor]: Taking taylor expansion of K in K 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.468 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.468 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.468 * [taylor]: Taking taylor expansion of J in K 6.468 * [backup-simplify]: Simplify J into J 6.468 * [backup-simplify]: Simplify (* 1 1) into 1 6.468 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.468 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.468 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 6.468 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 6.468 * [taylor]: Taking taylor expansion of 1/8 in J 6.468 * [backup-simplify]: Simplify 1/8 into 1/8 6.468 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.469 * [taylor]: Taking taylor expansion of J in J 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (* 1 1) into 1 6.469 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 6.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [taylor]: Taking taylor expansion of 0 in J 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [taylor]: Taking taylor expansion of 0 in J 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.472 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.472 * [backup-simplify]: Simplify (+ 0) into 0 6.473 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.475 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.476 * [backup-simplify]: Simplify (- 0) into 0 6.476 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.476 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.477 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.479 * [taylor]: Taking taylor expansion of 0 in K 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [taylor]: Taking taylor expansion of 0 in J 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.479 * [backup-simplify]: Simplify (+ 0) into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.481 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 6.481 * [taylor]: Taking taylor expansion of 0 in J 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [taylor]: Taking taylor expansion of 0 in J 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [taylor]: Taking taylor expansion of 0 in J 6.481 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 1 into 1 6.484 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.484 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 6.484 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.484 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.484 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.484 * [taylor]: Taking taylor expansion of 1/4 in J 6.484 * [backup-simplify]: Simplify 1/4 into 1/4 6.484 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.484 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.484 * [taylor]: Taking taylor expansion of J in J 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.484 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.484 * [taylor]: Taking taylor expansion of U in J 6.484 * [backup-simplify]: Simplify U into U 6.484 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.484 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.484 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.484 * [taylor]: Taking taylor expansion of 1/2 in J 6.484 * [backup-simplify]: Simplify 1/2 into 1/2 6.484 * [taylor]: Taking taylor expansion of K in J 6.484 * [backup-simplify]: Simplify K into K 6.484 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.485 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.485 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.485 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.485 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.485 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.486 * [backup-simplify]: Simplify (* 1 1) into 1 6.486 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.486 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.486 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.486 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.486 * [taylor]: Taking taylor expansion of 1 in J 6.486 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (+ 0 1) into 1 6.487 * [backup-simplify]: Simplify (sqrt 1) into 1 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.489 * [taylor]: Taking taylor expansion of 1/4 in K 6.489 * [backup-simplify]: Simplify 1/4 into 1/4 6.489 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.489 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.489 * [taylor]: Taking taylor expansion of J in K 6.489 * [backup-simplify]: Simplify J into J 6.489 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.489 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.489 * [taylor]: Taking taylor expansion of U in K 6.489 * [backup-simplify]: Simplify U into U 6.489 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.489 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.489 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.489 * [taylor]: Taking taylor expansion of 1/2 in K 6.489 * [backup-simplify]: Simplify 1/2 into 1/2 6.489 * [taylor]: Taking taylor expansion of K in K 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.490 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.490 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.490 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.490 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.490 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.490 * [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))) 6.490 * [taylor]: Taking taylor expansion of 1 in K 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.491 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.491 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.491 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.492 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.492 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.494 * [taylor]: Taking taylor expansion of 1/4 in U 6.494 * [backup-simplify]: Simplify 1/4 into 1/4 6.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.494 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.494 * [taylor]: Taking taylor expansion of J in U 6.494 * [backup-simplify]: Simplify J into J 6.494 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.494 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.494 * [taylor]: Taking taylor expansion of U in U 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify 1 into 1 6.494 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.495 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.495 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.495 * [taylor]: Taking taylor expansion of 1/2 in U 6.495 * [backup-simplify]: Simplify 1/2 into 1/2 6.495 * [taylor]: Taking taylor expansion of K in U 6.495 * [backup-simplify]: Simplify K into K 6.495 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.495 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.495 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.495 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.495 * [backup-simplify]: Simplify (- 0) into 0 6.496 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.496 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.496 * [backup-simplify]: Simplify (* 1 1) into 1 6.496 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.496 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.496 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.496 * [taylor]: Taking taylor expansion of 1 in U 6.497 * [backup-simplify]: Simplify 1 into 1 6.497 * [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))) 6.497 * [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))) 6.497 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.497 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.497 * [backup-simplify]: Simplify (+ 0) into 0 6.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.498 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.499 * [backup-simplify]: Simplify (- 0) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.500 * [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))))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.501 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.501 * [taylor]: Taking taylor expansion of 1/4 in U 6.501 * [backup-simplify]: Simplify 1/4 into 1/4 6.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.501 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.501 * [taylor]: Taking taylor expansion of J in U 6.501 * [backup-simplify]: Simplify J into J 6.501 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.501 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.501 * [taylor]: Taking taylor expansion of U in U 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 1 into 1 6.501 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.501 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.501 * [taylor]: Taking taylor expansion of 1/2 in U 6.501 * [backup-simplify]: Simplify 1/2 into 1/2 6.501 * [taylor]: Taking taylor expansion of K in U 6.501 * [backup-simplify]: Simplify K into K 6.501 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.501 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.501 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.501 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.501 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.502 * [backup-simplify]: Simplify (- 0) into 0 6.502 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.502 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.502 * [backup-simplify]: Simplify (* 1 1) into 1 6.502 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.502 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.502 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.502 * [taylor]: Taking taylor expansion of 1 in U 6.502 * [backup-simplify]: Simplify 1 into 1 6.502 * [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))) 6.503 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.503 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.503 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.503 * [backup-simplify]: Simplify (+ 0) into 0 6.504 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.504 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.505 * [backup-simplify]: Simplify (- 0) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.506 * [backup-simplify]: 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 6.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 6.507 * [taylor]: Taking taylor expansion of 1/2 in K 6.507 * [backup-simplify]: Simplify 1/2 into 1/2 6.507 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 6.507 * [taylor]: Taking taylor expansion of J in K 6.507 * [backup-simplify]: Simplify J into J 6.507 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.507 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.507 * [taylor]: Taking taylor expansion of 1/2 in K 6.507 * [backup-simplify]: Simplify 1/2 into 1/2 6.507 * [taylor]: Taking taylor expansion of K in K 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.507 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.507 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.508 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.508 * [taylor]: Taking taylor expansion of 1/2 in J 6.508 * [backup-simplify]: Simplify 1/2 into 1/2 6.508 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.508 * [taylor]: Taking taylor expansion of J in J 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.508 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.508 * [taylor]: Taking taylor expansion of 1/2 in J 6.508 * [backup-simplify]: Simplify 1/2 into 1/2 6.508 * [taylor]: Taking taylor expansion of K in J 6.508 * [backup-simplify]: Simplify K into K 6.508 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.508 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.508 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.508 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.508 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.508 * [backup-simplify]: Simplify (- 0) into 0 6.508 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.508 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.508 * [taylor]: Taking taylor expansion of 0 in K 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [taylor]: Taking taylor expansion of 0 in J 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.509 * [taylor]: Taking taylor expansion of 0 in J 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.509 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.509 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.511 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.512 * [backup-simplify]: Simplify (- 0) into 0 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.512 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.514 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.514 * [backup-simplify]: Simplify (+ 0 1) into 1 6.515 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.515 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.515 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.515 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.515 * [taylor]: Taking taylor expansion of 1/2 in K 6.515 * [backup-simplify]: Simplify 1/2 into 1/2 6.515 * [taylor]: Taking taylor expansion of K in K 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 1 into 1 6.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.515 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.515 * [taylor]: Taking taylor expansion of J in K 6.516 * [backup-simplify]: Simplify J into J 6.516 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.516 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.516 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.516 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.516 * [taylor]: Taking taylor expansion of 1/2 in J 6.516 * [backup-simplify]: Simplify 1/2 into 1/2 6.516 * [taylor]: Taking taylor expansion of K in J 6.516 * [backup-simplify]: Simplify K into K 6.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.516 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.516 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.516 * [taylor]: Taking taylor expansion of J in J 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify 1 into 1 6.516 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.516 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.516 * [backup-simplify]: Simplify (- 0) into 0 6.516 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.516 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.517 * [backup-simplify]: Simplify (+ 0) into 0 6.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.517 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.518 * [backup-simplify]: Simplify (- 0) into 0 6.518 * [backup-simplify]: Simplify (+ 0 0) into 0 6.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [taylor]: Taking taylor expansion of 0 in J 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 6.520 * [taylor]: Taking taylor expansion of 0 in J 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify (+ 0) into 0 6.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.526 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.527 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.527 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 6.527 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.527 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.528 * [taylor]: Taking taylor expansion of 1 in J 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.528 * [taylor]: Taking taylor expansion of 1/4 in J 6.528 * [backup-simplify]: Simplify 1/4 into 1/4 6.528 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.528 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.528 * [taylor]: Taking taylor expansion of J in J 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.528 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.528 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.528 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.528 * [taylor]: Taking taylor expansion of -1/2 in J 6.528 * [backup-simplify]: Simplify -1/2 into -1/2 6.528 * [taylor]: Taking taylor expansion of K in J 6.528 * [backup-simplify]: Simplify K into K 6.528 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.528 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.528 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.528 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.528 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.528 * [backup-simplify]: Simplify (- 0) into 0 6.529 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.529 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.529 * [taylor]: Taking taylor expansion of U in J 6.529 * [backup-simplify]: Simplify U into U 6.529 * [backup-simplify]: Simplify (* 1 1) into 1 6.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.529 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.529 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.529 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.529 * [backup-simplify]: Simplify (+ 1 0) into 1 6.530 * [backup-simplify]: Simplify (sqrt 1) into 1 6.530 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.530 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.530 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.530 * [taylor]: Taking taylor expansion of 1 in K 6.530 * [backup-simplify]: Simplify 1 into 1 6.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.531 * [taylor]: Taking taylor expansion of 1/4 in K 6.531 * [backup-simplify]: Simplify 1/4 into 1/4 6.531 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.531 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.531 * [taylor]: Taking taylor expansion of J in K 6.531 * [backup-simplify]: Simplify J into J 6.531 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.531 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.531 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.531 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.531 * [taylor]: Taking taylor expansion of -1/2 in K 6.531 * [backup-simplify]: Simplify -1/2 into -1/2 6.531 * [taylor]: Taking taylor expansion of K in K 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.531 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.531 * [taylor]: Taking taylor expansion of U in K 6.531 * [backup-simplify]: Simplify U into U 6.531 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.531 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.531 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.531 * [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))) 6.532 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.532 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.532 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.532 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.532 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.532 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.533 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.533 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.534 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.534 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.534 * [taylor]: Taking taylor expansion of 1 in U 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.534 * [taylor]: Taking taylor expansion of 1/4 in U 6.534 * [backup-simplify]: Simplify 1/4 into 1/4 6.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.534 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.534 * [taylor]: Taking taylor expansion of J in U 6.534 * [backup-simplify]: Simplify J into J 6.534 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.534 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.534 * [taylor]: Taking taylor expansion of -1/2 in U 6.534 * [backup-simplify]: Simplify -1/2 into -1/2 6.534 * [taylor]: Taking taylor expansion of K in U 6.534 * [backup-simplify]: Simplify K into K 6.534 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.534 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.534 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.534 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.534 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.534 * [backup-simplify]: Simplify (- 0) into 0 6.534 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.535 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.535 * [taylor]: Taking taylor expansion of U in U 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.535 * [backup-simplify]: Simplify (* 1 1) into 1 6.535 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.535 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.535 * [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))) 6.535 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.536 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.536 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.536 * [backup-simplify]: Simplify (+ 0) into 0 6.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.537 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.538 * [backup-simplify]: Simplify (- 0) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.538 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.539 * [backup-simplify]: 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 6.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.539 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.539 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.539 * [taylor]: Taking taylor expansion of 1 in U 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.539 * [taylor]: Taking taylor expansion of 1/4 in U 6.539 * [backup-simplify]: Simplify 1/4 into 1/4 6.539 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.540 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.540 * [taylor]: Taking taylor expansion of J in U 6.540 * [backup-simplify]: Simplify J into J 6.540 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.540 * [taylor]: Taking taylor expansion of -1/2 in U 6.540 * [backup-simplify]: Simplify -1/2 into -1/2 6.540 * [taylor]: Taking taylor expansion of K in U 6.540 * [backup-simplify]: Simplify K into K 6.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.540 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.540 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.540 * [backup-simplify]: Simplify (- 0) into 0 6.540 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.540 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.540 * [taylor]: Taking taylor expansion of U in U 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.541 * [backup-simplify]: Simplify (* 1 1) into 1 6.541 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.541 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.541 * [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))) 6.541 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.541 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.541 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.542 * [backup-simplify]: Simplify (+ 0) into 0 6.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.543 * [backup-simplify]: Simplify (- 0) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.544 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.544 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 6.545 * [taylor]: Taking taylor expansion of 1/2 in K 6.545 * [backup-simplify]: Simplify 1/2 into 1/2 6.545 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 6.545 * [taylor]: Taking taylor expansion of J in K 6.545 * [backup-simplify]: Simplify J into J 6.545 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.545 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.545 * [taylor]: Taking taylor expansion of -1/2 in K 6.545 * [backup-simplify]: Simplify -1/2 into -1/2 6.545 * [taylor]: Taking taylor expansion of K in K 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 1 into 1 6.546 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.546 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.546 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.546 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.546 * [taylor]: Taking taylor expansion of 1/2 in J 6.546 * [backup-simplify]: Simplify 1/2 into 1/2 6.546 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.546 * [taylor]: Taking taylor expansion of J in J 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.546 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.546 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.546 * [taylor]: Taking taylor expansion of -1/2 in J 6.546 * [backup-simplify]: Simplify -1/2 into -1/2 6.546 * [taylor]: Taking taylor expansion of K in J 6.546 * [backup-simplify]: Simplify K into K 6.546 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.546 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.546 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.546 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.546 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.546 * [backup-simplify]: Simplify (- 0) into 0 6.546 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.547 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.547 * [taylor]: Taking taylor expansion of 0 in K 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [taylor]: Taking taylor expansion of 0 in J 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.547 * [taylor]: Taking taylor expansion of 0 in J 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.547 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.548 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.550 * [backup-simplify]: Simplify (- 0) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.552 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.552 * [backup-simplify]: 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 6.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.553 * [backup-simplify]: Simplify (+ 1 0) into 1 6.553 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.553 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.553 * [taylor]: Taking taylor expansion of -1/2 in K 6.553 * [backup-simplify]: Simplify -1/2 into -1/2 6.553 * [taylor]: Taking taylor expansion of K in K 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.554 * [taylor]: Taking taylor expansion of J in K 6.554 * [backup-simplify]: Simplify J into J 6.554 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.554 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.554 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.554 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.554 * [taylor]: Taking taylor expansion of -1/2 in J 6.554 * [backup-simplify]: Simplify -1/2 into -1/2 6.554 * [taylor]: Taking taylor expansion of K in J 6.554 * [backup-simplify]: Simplify K into K 6.554 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.554 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.554 * [taylor]: Taking taylor expansion of J in J 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.554 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.554 * [backup-simplify]: Simplify (- 0) into 0 6.554 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.555 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.555 * [backup-simplify]: Simplify (+ 0) into 0 6.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.556 * [backup-simplify]: Simplify (- 0) into 0 6.557 * [backup-simplify]: Simplify (+ 0 0) into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [taylor]: Taking taylor expansion of 0 in J 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 6.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 6.558 * [taylor]: Taking taylor expansion of 0 in J 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (+ 0) into 0 6.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.559 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.560 * [backup-simplify]: Simplify (- 0) into 0 6.560 * [backup-simplify]: Simplify (+ 0 0) into 0 6.560 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.560 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.561 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.561 * [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)))) 6.561 * [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 6.561 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.561 * [taylor]: Taking taylor expansion of -2 in U 6.561 * [backup-simplify]: Simplify -2 into -2 6.562 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.562 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.562 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.562 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.562 * [taylor]: Taking taylor expansion of 1/2 in U 6.562 * [backup-simplify]: Simplify 1/2 into 1/2 6.562 * [taylor]: Taking taylor expansion of K in U 6.562 * [backup-simplify]: Simplify K into K 6.562 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.562 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.562 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.562 * [taylor]: Taking taylor expansion of J in U 6.562 * [backup-simplify]: Simplify J into J 6.562 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.562 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.562 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.562 * [taylor]: Taking taylor expansion of 1/4 in U 6.562 * [backup-simplify]: Simplify 1/4 into 1/4 6.562 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.562 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.562 * [taylor]: Taking taylor expansion of U in U 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.562 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.562 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.562 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.562 * [taylor]: Taking taylor expansion of 1/2 in U 6.562 * [backup-simplify]: Simplify 1/2 into 1/2 6.562 * [taylor]: Taking taylor expansion of K in U 6.562 * [backup-simplify]: Simplify K into K 6.562 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.563 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.563 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.563 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.563 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.563 * [backup-simplify]: Simplify (- 0) into 0 6.563 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.563 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.563 * [taylor]: Taking taylor expansion of J in U 6.563 * [backup-simplify]: Simplify J into J 6.564 * [backup-simplify]: Simplify (* 1 1) into 1 6.564 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.564 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.564 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.564 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.564 * [taylor]: Taking taylor expansion of 1 in U 6.564 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (+ 0 1) into 1 6.565 * [backup-simplify]: Simplify (sqrt 1) into 1 6.566 * [backup-simplify]: Simplify (+ 0 0) into 0 6.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.566 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.566 * [taylor]: Taking taylor expansion of -2 in K 6.566 * [backup-simplify]: Simplify -2 into -2 6.566 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.567 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.567 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.567 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.567 * [taylor]: Taking taylor expansion of 1/2 in K 6.567 * [backup-simplify]: Simplify 1/2 into 1/2 6.567 * [taylor]: Taking taylor expansion of K in K 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.568 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.568 * [taylor]: Taking taylor expansion of J in K 6.568 * [backup-simplify]: Simplify J into J 6.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.568 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.568 * [taylor]: Taking taylor expansion of 1/4 in K 6.568 * [backup-simplify]: Simplify 1/4 into 1/4 6.568 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.568 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.568 * [taylor]: Taking taylor expansion of U in K 6.568 * [backup-simplify]: Simplify U into U 6.568 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.568 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.568 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.568 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.568 * [taylor]: Taking taylor expansion of 1/2 in K 6.568 * [backup-simplify]: Simplify 1/2 into 1/2 6.568 * [taylor]: Taking taylor expansion of K in K 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.569 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.570 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.570 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.570 * [taylor]: Taking taylor expansion of J in K 6.570 * [backup-simplify]: Simplify J into J 6.570 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.570 * [backup-simplify]: Simplify (* 1 1) into 1 6.570 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.570 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.570 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.570 * [taylor]: Taking taylor expansion of 1 in K 6.570 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.571 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.571 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.571 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.571 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.572 * [backup-simplify]: Simplify (+ 0) into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.573 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.574 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.574 * [taylor]: Taking taylor expansion of -2 in J 6.574 * [backup-simplify]: Simplify -2 into -2 6.574 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.575 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.575 * [taylor]: Taking taylor expansion of 1/2 in J 6.575 * [backup-simplify]: Simplify 1/2 into 1/2 6.575 * [taylor]: Taking taylor expansion of K in J 6.575 * [backup-simplify]: Simplify K into K 6.575 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.575 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.575 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.575 * [taylor]: Taking taylor expansion of J in J 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.575 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.575 * [taylor]: Taking taylor expansion of 1/4 in J 6.575 * [backup-simplify]: Simplify 1/4 into 1/4 6.575 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.575 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.575 * [taylor]: Taking taylor expansion of U in J 6.575 * [backup-simplify]: Simplify U into U 6.575 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.575 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.575 * [taylor]: Taking taylor expansion of 1/2 in J 6.575 * [backup-simplify]: Simplify 1/2 into 1/2 6.575 * [taylor]: Taking taylor expansion of K in J 6.575 * [backup-simplify]: Simplify K into K 6.575 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.575 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.576 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.576 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.576 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.576 * [backup-simplify]: Simplify (- 0) into 0 6.576 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.576 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.576 * [taylor]: Taking taylor expansion of J in J 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.577 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.577 * [backup-simplify]: Simplify (* 1 1) into 1 6.577 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.577 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.577 * [taylor]: Taking taylor expansion of 1 in J 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.578 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.578 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.578 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.579 * [backup-simplify]: Simplify (+ 0) into 0 6.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.581 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.582 * [backup-simplify]: Simplify (- 0) into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.583 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.583 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.585 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.585 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.585 * [taylor]: Taking taylor expansion of -2 in J 6.585 * [backup-simplify]: Simplify -2 into -2 6.585 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.585 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.585 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.585 * [taylor]: Taking taylor expansion of 1/2 in J 6.585 * [backup-simplify]: Simplify 1/2 into 1/2 6.585 * [taylor]: Taking taylor expansion of K in J 6.585 * [backup-simplify]: Simplify K into K 6.585 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.585 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.585 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.586 * [taylor]: Taking taylor expansion of J in J 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.586 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.586 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.586 * [taylor]: Taking taylor expansion of 1/4 in J 6.586 * [backup-simplify]: Simplify 1/4 into 1/4 6.586 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.586 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.586 * [taylor]: Taking taylor expansion of U in J 6.586 * [backup-simplify]: Simplify U into U 6.586 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.586 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.586 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.586 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.586 * [taylor]: Taking taylor expansion of 1/2 in J 6.586 * [backup-simplify]: Simplify 1/2 into 1/2 6.586 * [taylor]: Taking taylor expansion of K in J 6.586 * [backup-simplify]: Simplify K into K 6.586 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.586 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.586 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.587 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.587 * [backup-simplify]: Simplify (- 0) into 0 6.587 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.587 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.587 * [taylor]: Taking taylor expansion of J in J 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 1 into 1 6.587 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.588 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.588 * [backup-simplify]: Simplify (* 1 1) into 1 6.588 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.588 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.588 * [taylor]: Taking taylor expansion of 1 in J 6.588 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.589 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.589 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.589 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.590 * [backup-simplify]: Simplify (+ 0) into 0 6.591 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.593 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.593 * [backup-simplify]: Simplify (- 0) into 0 6.593 * [backup-simplify]: Simplify (+ 0 0) into 0 6.593 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.594 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.594 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.595 * [backup-simplify]: Simplify (+ 0 0) into 0 6.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.596 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.596 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.596 * [backup-simplify]: Simplify (- 0) into 0 6.596 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.596 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.597 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 6.597 * [backup-simplify]: Simplify (* -2 0) into 0 6.597 * [taylor]: Taking taylor expansion of 0 in K 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [taylor]: Taking taylor expansion of 0 in U 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ 0) into 0 6.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.600 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.600 * [backup-simplify]: Simplify (- 0) into 0 6.601 * [backup-simplify]: Simplify (+ 0 0) into 0 6.601 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.602 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 6.602 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 6.602 * [taylor]: Taking taylor expansion of (- U) in K 6.602 * [taylor]: Taking taylor expansion of U in K 6.602 * [backup-simplify]: Simplify U into U 6.602 * [backup-simplify]: Simplify (- U) into (- U) 6.602 * [taylor]: Taking taylor expansion of (- U) in U 6.602 * [taylor]: Taking taylor expansion of U in U 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.603 * [backup-simplify]: Simplify (- 0) into 0 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [taylor]: Taking taylor expansion of 0 in U 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.607 * [backup-simplify]: Simplify (- 0) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.608 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 6.609 * [backup-simplify]: Simplify (+ 0 1) into 1 6.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 6.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.611 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.612 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.612 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.613 * [backup-simplify]: Simplify (- 0) into 0 6.613 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.613 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 6.614 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 6.614 * [taylor]: Taking taylor expansion of 0 in K 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [taylor]: Taking taylor expansion of 0 in U 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (- 0) into 0 6.614 * [taylor]: Taking taylor expansion of 0 in U 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.615 * [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))) 6.615 * [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 6.615 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 6.615 * [taylor]: Taking taylor expansion of -2 in U 6.615 * [backup-simplify]: Simplify -2 into -2 6.615 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 6.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.615 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.615 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.615 * [taylor]: Taking taylor expansion of 1/4 in U 6.615 * [backup-simplify]: Simplify 1/4 into 1/4 6.615 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.615 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.615 * [taylor]: Taking taylor expansion of J in U 6.615 * [backup-simplify]: Simplify J into J 6.615 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.615 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.615 * [taylor]: Taking taylor expansion of U in U 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 1 into 1 6.615 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.615 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.615 * [taylor]: Taking taylor expansion of 1/2 in U 6.615 * [backup-simplify]: Simplify 1/2 into 1/2 6.615 * [taylor]: Taking taylor expansion of K in U 6.615 * [backup-simplify]: Simplify K into K 6.615 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.615 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.615 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.615 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.615 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.616 * [backup-simplify]: Simplify (- 0) into 0 6.616 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.616 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.616 * [backup-simplify]: Simplify (* 1 1) into 1 6.616 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.616 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.616 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.616 * [taylor]: Taking taylor expansion of 1 in U 6.616 * [backup-simplify]: Simplify 1 into 1 6.616 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.617 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.617 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.617 * [backup-simplify]: Simplify (+ 0) into 0 6.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.618 * [backup-simplify]: Simplify (- 0) into 0 6.619 * [backup-simplify]: Simplify (+ 0 0) into 0 6.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.620 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.620 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.621 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 6.621 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.621 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.621 * [taylor]: Taking taylor expansion of 1/2 in U 6.621 * [backup-simplify]: Simplify 1/2 into 1/2 6.621 * [taylor]: Taking taylor expansion of K in U 6.621 * [backup-simplify]: Simplify K into K 6.621 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.621 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.621 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.621 * [taylor]: Taking taylor expansion of J in U 6.621 * [backup-simplify]: Simplify J into J 6.621 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.621 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.621 * [backup-simplify]: Simplify (- 0) into 0 6.621 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.621 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.621 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 6.621 * [taylor]: Taking taylor expansion of -2 in K 6.621 * [backup-simplify]: Simplify -2 into -2 6.621 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 6.621 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.621 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.621 * [taylor]: Taking taylor expansion of 1/4 in K 6.621 * [backup-simplify]: Simplify 1/4 into 1/4 6.621 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.621 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.621 * [taylor]: Taking taylor expansion of J in K 6.621 * [backup-simplify]: Simplify J into J 6.622 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.622 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.622 * [taylor]: Taking taylor expansion of U in K 6.622 * [backup-simplify]: Simplify U into U 6.622 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.622 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.622 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.622 * [taylor]: Taking taylor expansion of 1/2 in K 6.622 * [backup-simplify]: Simplify 1/2 into 1/2 6.622 * [taylor]: Taking taylor expansion of K in K 6.622 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify 1 into 1 6.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.622 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.622 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.622 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.622 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.622 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.622 * [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))) 6.622 * [taylor]: Taking taylor expansion of 1 in K 6.622 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.623 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.623 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.623 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.623 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.623 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.624 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.624 * [backup-simplify]: Simplify (+ 0 0) into 0 6.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.625 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.625 * [taylor]: Taking taylor expansion of 1/2 in K 6.625 * [backup-simplify]: Simplify 1/2 into 1/2 6.625 * [taylor]: Taking taylor expansion of K in K 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.625 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.625 * [taylor]: Taking taylor expansion of J in K 6.625 * [backup-simplify]: Simplify J into J 6.625 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.625 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.625 * [taylor]: Taking taylor expansion of -2 in J 6.625 * [backup-simplify]: Simplify -2 into -2 6.625 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.625 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.625 * [taylor]: Taking taylor expansion of 1/4 in J 6.625 * [backup-simplify]: Simplify 1/4 into 1/4 6.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.625 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.625 * [taylor]: Taking taylor expansion of J in J 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.625 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.625 * [taylor]: Taking taylor expansion of U in J 6.626 * [backup-simplify]: Simplify U into U 6.626 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.626 * [taylor]: Taking taylor expansion of 1/2 in J 6.626 * [backup-simplify]: Simplify 1/2 into 1/2 6.626 * [taylor]: Taking taylor expansion of K in J 6.626 * [backup-simplify]: Simplify K into K 6.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.626 * [backup-simplify]: Simplify (- 0) into 0 6.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.626 * [backup-simplify]: Simplify (* 1 1) into 1 6.626 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.627 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.627 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.627 * [taylor]: Taking taylor expansion of 1 in J 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [backup-simplify]: Simplify (+ 0 1) into 1 6.627 * [backup-simplify]: Simplify (sqrt 1) into 1 6.628 * [backup-simplify]: Simplify (+ 0 0) into 0 6.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.628 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.628 * [taylor]: Taking taylor expansion of 1/2 in J 6.628 * [backup-simplify]: Simplify 1/2 into 1/2 6.628 * [taylor]: Taking taylor expansion of K in J 6.628 * [backup-simplify]: Simplify K into K 6.628 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.628 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.628 * [taylor]: Taking taylor expansion of J in J 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.628 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.629 * [backup-simplify]: Simplify (- 0) into 0 6.629 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.629 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.629 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.629 * [taylor]: Taking taylor expansion of -2 in J 6.629 * [backup-simplify]: Simplify -2 into -2 6.629 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.629 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.629 * [taylor]: Taking taylor expansion of 1/4 in J 6.629 * [backup-simplify]: Simplify 1/4 into 1/4 6.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.629 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.629 * [taylor]: Taking taylor expansion of J in J 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 1 into 1 6.629 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.629 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.629 * [taylor]: Taking taylor expansion of U in J 6.629 * [backup-simplify]: Simplify U into U 6.629 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.629 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.629 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.629 * [taylor]: Taking taylor expansion of 1/2 in J 6.629 * [backup-simplify]: Simplify 1/2 into 1/2 6.629 * [taylor]: Taking taylor expansion of K in J 6.629 * [backup-simplify]: Simplify K into K 6.629 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.629 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.629 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.629 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.629 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.630 * [backup-simplify]: Simplify (- 0) into 0 6.630 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.630 * [backup-simplify]: Simplify (* 1 1) into 1 6.630 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.630 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.630 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.630 * [taylor]: Taking taylor expansion of 1 in J 6.630 * [backup-simplify]: Simplify 1 into 1 6.630 * [backup-simplify]: Simplify (+ 0 1) into 1 6.631 * [backup-simplify]: Simplify (sqrt 1) into 1 6.631 * [backup-simplify]: Simplify (+ 0 0) into 0 6.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.631 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.632 * [taylor]: Taking taylor expansion of 1/2 in J 6.632 * [backup-simplify]: Simplify 1/2 into 1/2 6.632 * [taylor]: Taking taylor expansion of K in J 6.632 * [backup-simplify]: Simplify K into K 6.632 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.632 * [taylor]: Taking taylor expansion of J in J 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.632 * [backup-simplify]: Simplify (- 0) into 0 6.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.632 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 6.632 * [taylor]: Taking taylor expansion of -2 in K 6.632 * [backup-simplify]: Simplify -2 into -2 6.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.632 * [taylor]: Taking taylor expansion of 1/2 in K 6.632 * [backup-simplify]: Simplify 1/2 into 1/2 6.632 * [taylor]: Taking taylor expansion of K in K 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.633 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.633 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.633 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 6.633 * [taylor]: Taking taylor expansion of -2 in U 6.633 * [backup-simplify]: Simplify -2 into -2 6.633 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.633 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.633 * [taylor]: Taking taylor expansion of 1/2 in U 6.633 * [backup-simplify]: Simplify 1/2 into 1/2 6.633 * [taylor]: Taking taylor expansion of K in U 6.633 * [backup-simplify]: Simplify K into K 6.633 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.633 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.633 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.633 * [backup-simplify]: Simplify (+ 0) into 0 6.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.635 * [backup-simplify]: Simplify (- 0) into 0 6.635 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.640 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.640 * [taylor]: Taking taylor expansion of 0 in K 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [taylor]: Taking taylor expansion of 0 in U 6.640 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.641 * [taylor]: Taking taylor expansion of 0 in U 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.641 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.641 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.641 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 6.642 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.643 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.645 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.646 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 6.647 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 6.647 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 6.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 6.647 * [taylor]: Taking taylor expansion of 1/4 in K 6.647 * [backup-simplify]: Simplify 1/4 into 1/4 6.647 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 6.647 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 6.647 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.647 * [taylor]: Taking taylor expansion of U in K 6.647 * [backup-simplify]: Simplify U into U 6.647 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.647 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.647 * [taylor]: Taking taylor expansion of 1/2 in K 6.647 * [backup-simplify]: Simplify 1/2 into 1/2 6.647 * [taylor]: Taking taylor expansion of K in K 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 1 into 1 6.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.648 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.648 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.648 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 6.648 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 6.648 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 6.648 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 6.648 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 6.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 6.648 * [taylor]: Taking taylor expansion of 1/4 in U 6.648 * [backup-simplify]: Simplify 1/4 into 1/4 6.648 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 6.648 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 6.648 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.648 * [taylor]: Taking taylor expansion of U in U 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify 1 into 1 6.648 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.648 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.648 * [taylor]: Taking taylor expansion of 1/2 in U 6.648 * [backup-simplify]: Simplify 1/2 into 1/2 6.648 * [taylor]: Taking taylor expansion of K in U 6.648 * [backup-simplify]: Simplify K into K 6.648 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.648 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.648 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.649 * [backup-simplify]: Simplify (* 1 1) into 1 6.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.649 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.649 * [backup-simplify]: Simplify (- 0) into 0 6.649 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.649 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 6.649 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.649 * [backup-simplify]: Simplify (+ 0) into 0 6.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.651 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.651 * [backup-simplify]: Simplify (- 0) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 6.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.653 * [backup-simplify]: Simplify (- 0) into 0 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [taylor]: Taking taylor expansion of 0 in U 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.653 * [taylor]: Taking taylor expansion of 0 in U 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify (+ 0) into 0 6.654 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.655 * [backup-simplify]: Simplify (- 0) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.658 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.659 * [backup-simplify]: Simplify (- 0) into 0 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.661 * [backup-simplify]: Simplify (+ 0) into 0 6.661 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.661 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.662 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.662 * [backup-simplify]: Simplify (- 0) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.662 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.663 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.663 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.663 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 6.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.665 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.665 * [taylor]: Taking taylor expansion of 0 in K 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [taylor]: Taking taylor expansion of 0 in U 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.665 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 6.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 6.666 * [backup-simplify]: Simplify (- 0) into 0 6.666 * [taylor]: Taking taylor expansion of 0 in U 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [taylor]: Taking taylor expansion of 0 in U 6.666 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.667 * [taylor]: Taking taylor expansion of 0 in U 6.667 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.669 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.669 * [backup-simplify]: Simplify (- 0) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 6.672 * [backup-simplify]: Simplify (- 0) into 0 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.672 * [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)))))))) 6.672 * [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 6.672 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.672 * [taylor]: Taking taylor expansion of 2 in U 6.672 * [backup-simplify]: Simplify 2 into 2 6.672 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.672 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 6.672 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.672 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.672 * [taylor]: Taking taylor expansion of -1/2 in U 6.672 * [backup-simplify]: Simplify -1/2 into -1/2 6.672 * [taylor]: Taking taylor expansion of K in U 6.672 * [backup-simplify]: Simplify K into K 6.672 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.673 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.673 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.673 * [taylor]: Taking taylor expansion of J in U 6.673 * [backup-simplify]: Simplify J into J 6.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.673 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.673 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.673 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.673 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.673 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.673 * [taylor]: Taking taylor expansion of 1 in U 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.673 * [taylor]: Taking taylor expansion of 1/4 in U 6.673 * [backup-simplify]: Simplify 1/4 into 1/4 6.673 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.673 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.673 * [taylor]: Taking taylor expansion of J in U 6.673 * [backup-simplify]: Simplify J into J 6.673 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.673 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.673 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.673 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.673 * [taylor]: Taking taylor expansion of -1/2 in U 6.673 * [backup-simplify]: Simplify -1/2 into -1/2 6.673 * [taylor]: Taking taylor expansion of K in U 6.673 * [backup-simplify]: Simplify K into K 6.673 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.673 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.673 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.674 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.674 * [backup-simplify]: Simplify (- 0) into 0 6.674 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.674 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.674 * [taylor]: Taking taylor expansion of U in U 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.674 * [backup-simplify]: Simplify (* 1 1) into 1 6.674 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.675 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.675 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.675 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.675 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.675 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.676 * [backup-simplify]: Simplify (+ 0) into 0 6.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.677 * [backup-simplify]: Simplify (- 0) into 0 6.677 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.678 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.678 * [backup-simplify]: 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 6.678 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.679 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.679 * [taylor]: Taking taylor expansion of 2 in K 6.679 * [backup-simplify]: Simplify 2 into 2 6.679 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.679 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.679 * [taylor]: Taking taylor expansion of -1/2 in K 6.679 * [backup-simplify]: Simplify -1/2 into -1/2 6.679 * [taylor]: Taking taylor expansion of K in K 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.679 * [taylor]: Taking taylor expansion of J in K 6.679 * [backup-simplify]: Simplify J into J 6.679 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.679 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.679 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.679 * [taylor]: Taking taylor expansion of 1 in K 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.680 * [taylor]: Taking taylor expansion of 1/4 in K 6.680 * [backup-simplify]: Simplify 1/4 into 1/4 6.680 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.680 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.680 * [taylor]: Taking taylor expansion of J in K 6.680 * [backup-simplify]: Simplify J into J 6.680 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.680 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.680 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.680 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.680 * [taylor]: Taking taylor expansion of -1/2 in K 6.680 * [backup-simplify]: Simplify -1/2 into -1/2 6.680 * [taylor]: Taking taylor expansion of K in K 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.680 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.680 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.680 * [taylor]: Taking taylor expansion of U in K 6.680 * [backup-simplify]: Simplify U into U 6.680 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.680 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.680 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.680 * [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))) 6.681 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.681 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.681 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.681 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.681 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.681 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.682 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.682 * [backup-simplify]: Simplify (+ 0 0) into 0 6.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.683 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.683 * [taylor]: Taking taylor expansion of 2 in J 6.683 * [backup-simplify]: Simplify 2 into 2 6.683 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.683 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.683 * [taylor]: Taking taylor expansion of -1/2 in J 6.683 * [backup-simplify]: Simplify -1/2 into -1/2 6.683 * [taylor]: Taking taylor expansion of K in J 6.683 * [backup-simplify]: Simplify K into K 6.683 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.683 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.683 * [taylor]: Taking taylor expansion of J in J 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.683 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.683 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.683 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.683 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.683 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.683 * [taylor]: Taking taylor expansion of 1 in J 6.683 * [backup-simplify]: Simplify 1 into 1 6.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.684 * [taylor]: Taking taylor expansion of 1/4 in J 6.684 * [backup-simplify]: Simplify 1/4 into 1/4 6.684 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.684 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.684 * [taylor]: Taking taylor expansion of J in J 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.684 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.684 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.684 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.684 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.684 * [taylor]: Taking taylor expansion of -1/2 in J 6.684 * [backup-simplify]: Simplify -1/2 into -1/2 6.684 * [taylor]: Taking taylor expansion of K in J 6.684 * [backup-simplify]: Simplify K into K 6.684 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.684 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.684 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.684 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.684 * [backup-simplify]: Simplify (- 0) into 0 6.684 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.684 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.684 * [taylor]: Taking taylor expansion of U in J 6.684 * [backup-simplify]: Simplify U into U 6.685 * [backup-simplify]: Simplify (* 1 1) into 1 6.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.685 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.685 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.685 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.685 * [backup-simplify]: Simplify (+ 1 0) into 1 6.686 * [backup-simplify]: Simplify (sqrt 1) into 1 6.686 * [backup-simplify]: Simplify (+ 0 0) into 0 6.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.687 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.687 * [taylor]: Taking taylor expansion of 2 in J 6.687 * [backup-simplify]: Simplify 2 into 2 6.687 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.687 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.687 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.687 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.687 * [taylor]: Taking taylor expansion of -1/2 in J 6.687 * [backup-simplify]: Simplify -1/2 into -1/2 6.687 * [taylor]: Taking taylor expansion of K in J 6.687 * [backup-simplify]: Simplify K into K 6.687 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.687 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.688 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.688 * [taylor]: Taking taylor expansion of J in J 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 1 into 1 6.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.688 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.688 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.688 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.688 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.688 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.688 * [taylor]: Taking taylor expansion of 1 in J 6.688 * [backup-simplify]: Simplify 1 into 1 6.688 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.689 * [taylor]: Taking taylor expansion of 1/4 in J 6.689 * [backup-simplify]: Simplify 1/4 into 1/4 6.689 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.689 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.689 * [taylor]: Taking taylor expansion of J in J 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.689 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.689 * [taylor]: Taking taylor expansion of -1/2 in J 6.689 * [backup-simplify]: Simplify -1/2 into -1/2 6.689 * [taylor]: Taking taylor expansion of K in J 6.689 * [backup-simplify]: Simplify K into K 6.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.689 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.690 * [backup-simplify]: Simplify (- 0) into 0 6.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.690 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.690 * [taylor]: Taking taylor expansion of U in J 6.690 * [backup-simplify]: Simplify U into U 6.690 * [backup-simplify]: Simplify (* 1 1) into 1 6.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.690 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.691 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.691 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.691 * [backup-simplify]: Simplify (+ 1 0) into 1 6.692 * [backup-simplify]: Simplify (sqrt 1) into 1 6.692 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.693 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.693 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 6.693 * [taylor]: Taking taylor expansion of 2 in K 6.693 * [backup-simplify]: Simplify 2 into 2 6.693 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.693 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.693 * [taylor]: Taking taylor expansion of -1/2 in K 6.693 * [backup-simplify]: Simplify -1/2 into -1/2 6.693 * [taylor]: Taking taylor expansion of K in K 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.694 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.694 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.694 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 6.694 * [taylor]: Taking taylor expansion of 2 in U 6.694 * [backup-simplify]: Simplify 2 into 2 6.694 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.694 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.694 * [taylor]: Taking taylor expansion of -1/2 in U 6.694 * [backup-simplify]: Simplify -1/2 into -1/2 6.694 * [taylor]: Taking taylor expansion of K in U 6.694 * [backup-simplify]: Simplify K into K 6.694 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.694 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.695 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.695 * [backup-simplify]: Simplify (+ 0) into 0 6.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.697 * [backup-simplify]: Simplify (- 0) into 0 6.698 * [backup-simplify]: Simplify (+ 0 0) into 0 6.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.700 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.700 * [taylor]: Taking taylor expansion of 0 in K 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [taylor]: Taking taylor expansion of 0 in U 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.700 * [taylor]: Taking taylor expansion of 0 in U 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.701 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.701 * [backup-simplify]: Simplify (- 0) into 0 6.701 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.701 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.701 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 6.701 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.702 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.703 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.705 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.706 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 6.710 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 6.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 6.711 * [taylor]: Taking taylor expansion of 1/4 in K 6.711 * [backup-simplify]: Simplify 1/4 into 1/4 6.711 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 6.711 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 6.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.711 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.711 * [taylor]: Taking taylor expansion of -1/2 in K 6.711 * [backup-simplify]: Simplify -1/2 into -1/2 6.711 * [taylor]: Taking taylor expansion of K in K 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 1 into 1 6.711 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.711 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.711 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.711 * [taylor]: Taking taylor expansion of U in K 6.711 * [backup-simplify]: Simplify U into U 6.712 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 6.712 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 6.712 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 6.712 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 6.712 * [taylor]: Taking taylor expansion of 1/4 in U 6.712 * [backup-simplify]: Simplify 1/4 into 1/4 6.712 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 6.712 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.712 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.712 * [taylor]: Taking taylor expansion of -1/2 in U 6.712 * [backup-simplify]: Simplify -1/2 into -1/2 6.712 * [taylor]: Taking taylor expansion of K in U 6.712 * [backup-simplify]: Simplify K into K 6.712 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.712 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.712 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.713 * [taylor]: Taking taylor expansion of U in U 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.713 * [backup-simplify]: Simplify (- 0) into 0 6.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.713 * [backup-simplify]: Simplify (* 1 1) into 1 6.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.713 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 6.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.714 * [backup-simplify]: Simplify (+ 0) into 0 6.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.714 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.715 * [backup-simplify]: Simplify (- 0) into 0 6.716 * [backup-simplify]: Simplify (+ 0 0) into 0 6.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.716 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [taylor]: Taking taylor expansion of 0 in U 6.716 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.717 * [taylor]: Taking taylor expansion of 0 in U 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify (+ 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.719 * [backup-simplify]: Simplify (- 0) into 0 6.719 * [backup-simplify]: Simplify (+ 0 0) into 0 6.719 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.719 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.720 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.720 * [backup-simplify]: Simplify (+ 0) into 0 6.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.722 * [backup-simplify]: Simplify (- 0) into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.722 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.722 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 6.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.726 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.726 * [backup-simplify]: Simplify (- 0) into 0 6.726 * [backup-simplify]: Simplify (+ 0 0) into 0 6.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.729 * [taylor]: Taking taylor expansion of 0 in K 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [taylor]: Taking taylor expansion of 0 in U 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 6.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 6.730 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 6.730 * [taylor]: Taking taylor expansion of 0 in U 6.730 * [backup-simplify]: Simplify 0 into 0 6.730 * [taylor]: Taking taylor expansion of 0 in U 6.730 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.731 * [taylor]: Taking taylor expansion of 0 in U 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.733 * [backup-simplify]: Simplify (- 0) into 0 6.734 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.734 * [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 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 6.735 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 6.735 * [backup-simplify]: Simplify (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.735 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 6.735 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.735 * [taylor]: Taking taylor expansion of 1/4 in J 6.735 * [backup-simplify]: Simplify 1/4 into 1/4 6.735 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.735 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.735 * [taylor]: Taking taylor expansion of U in J 6.735 * [backup-simplify]: Simplify U into U 6.735 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.735 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.735 * [taylor]: Taking taylor expansion of 1/2 in J 6.735 * [backup-simplify]: Simplify 1/2 into 1/2 6.735 * [taylor]: Taking taylor expansion of K in J 6.735 * [backup-simplify]: Simplify K into K 6.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.735 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.735 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.736 * [backup-simplify]: Simplify (- 0) into 0 6.736 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.736 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.736 * [taylor]: Taking taylor expansion of J in J 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.736 * [backup-simplify]: Simplify (* 1 1) into 1 6.736 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.736 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.736 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.736 * [taylor]: Taking taylor expansion of 1/4 in K 6.736 * [backup-simplify]: Simplify 1/4 into 1/4 6.736 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.736 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.736 * [taylor]: Taking taylor expansion of U in K 6.736 * [backup-simplify]: Simplify U into U 6.736 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.736 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.736 * [taylor]: Taking taylor expansion of 1/2 in K 6.736 * [backup-simplify]: Simplify 1/2 into 1/2 6.736 * [taylor]: Taking taylor expansion of K in K 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.737 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.737 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.737 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.737 * [taylor]: Taking taylor expansion of J in K 6.737 * [backup-simplify]: Simplify J into J 6.737 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.738 * [backup-simplify]: Simplify (* 1 1) into 1 6.738 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.738 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.738 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.738 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.738 * [taylor]: Taking taylor expansion of 1/4 in U 6.738 * [backup-simplify]: Simplify 1/4 into 1/4 6.738 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.738 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.738 * [taylor]: Taking taylor expansion of U in U 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.738 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.738 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.738 * [taylor]: Taking taylor expansion of 1/2 in U 6.738 * [backup-simplify]: Simplify 1/2 into 1/2 6.738 * [taylor]: Taking taylor expansion of K in U 6.738 * [backup-simplify]: Simplify K into K 6.738 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.738 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.738 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.738 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.738 * [backup-simplify]: Simplify (- 0) into 0 6.738 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.738 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.738 * [taylor]: Taking taylor expansion of J in U 6.739 * [backup-simplify]: Simplify J into J 6.739 * [backup-simplify]: Simplify (* 1 1) into 1 6.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.739 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.739 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.739 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.739 * [taylor]: Taking taylor expansion of 1/4 in U 6.739 * [backup-simplify]: Simplify 1/4 into 1/4 6.739 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.739 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.739 * [taylor]: Taking taylor expansion of U in U 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.739 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.739 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.739 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.739 * [taylor]: Taking taylor expansion of 1/2 in U 6.739 * [backup-simplify]: Simplify 1/2 into 1/2 6.739 * [taylor]: Taking taylor expansion of K in U 6.739 * [backup-simplify]: Simplify K into K 6.739 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.739 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.739 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.739 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.740 * [backup-simplify]: Simplify (- 0) into 0 6.740 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.740 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.740 * [taylor]: Taking taylor expansion of J in U 6.740 * [backup-simplify]: Simplify J into J 6.740 * [backup-simplify]: Simplify (* 1 1) into 1 6.740 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.740 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.740 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.740 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.741 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.741 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.741 * [taylor]: Taking taylor expansion of 1/4 in K 6.741 * [backup-simplify]: Simplify 1/4 into 1/4 6.741 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.741 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.741 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.741 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.741 * [taylor]: Taking taylor expansion of 1/2 in K 6.741 * [backup-simplify]: Simplify 1/2 into 1/2 6.741 * [taylor]: Taking taylor expansion of K in K 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify 1 into 1 6.741 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.745 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.745 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.745 * [taylor]: Taking taylor expansion of J in K 6.745 * [backup-simplify]: Simplify J into J 6.746 * [backup-simplify]: Simplify (* 1 1) into 1 6.746 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.746 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.746 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 6.746 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 6.746 * [taylor]: Taking taylor expansion of 1/4 in J 6.746 * [backup-simplify]: Simplify 1/4 into 1/4 6.746 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.746 * [taylor]: Taking taylor expansion of J in J 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.747 * [backup-simplify]: Simplify (* 1 1) into 1 6.747 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 6.747 * [backup-simplify]: Simplify 1/4 into 1/4 6.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.748 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.749 * [backup-simplify]: Simplify (+ 0) into 0 6.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.751 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.751 * [backup-simplify]: Simplify (- 0) into 0 6.752 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.752 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.753 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.753 * [taylor]: Taking taylor expansion of 0 in K 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [taylor]: Taking taylor expansion of 0 in J 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.754 * [backup-simplify]: Simplify (+ 0) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.755 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 6.755 * [taylor]: Taking taylor expansion of 0 in J 6.755 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.758 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.759 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.760 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.762 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.762 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.763 * [backup-simplify]: Simplify (- 0) into 0 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.764 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 6.765 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.766 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.766 * [taylor]: Taking taylor expansion of 0 in K 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [taylor]: Taking taylor expansion of 0 in J 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [taylor]: Taking taylor expansion of 0 in J 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.767 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.769 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 6.770 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 6.770 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 6.770 * [taylor]: Taking taylor expansion of 1/16 in J 6.770 * [backup-simplify]: Simplify 1/16 into 1/16 6.770 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 6.770 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.770 * [taylor]: Taking taylor expansion of J in J 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.771 * [backup-simplify]: Simplify (* 1 1) into 1 6.771 * [backup-simplify]: Simplify (/ 1 1) into 1 6.771 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 6.771 * [backup-simplify]: Simplify 1/16 into 1/16 6.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.775 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.777 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.778 * [backup-simplify]: Simplify (- 0) into 0 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.779 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 6.780 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 6.781 * [taylor]: Taking taylor expansion of 0 in K 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [taylor]: Taking taylor expansion of 0 in J 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [taylor]: Taking taylor expansion of 0 in J 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [taylor]: Taking taylor expansion of 0 in J 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.783 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 6.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 6.784 * [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 6.784 * [taylor]: Taking taylor expansion of 0 in J 6.784 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.786 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.789 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.790 * [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 6.791 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 6.792 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.793 * [backup-simplify]: Simplify (+ 0 0) into 0 6.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 6.795 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 6.796 * [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 6.797 * [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 6.797 * [taylor]: Taking taylor expansion of 0 in K 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [taylor]: Taking taylor expansion of 0 in J 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [taylor]: Taking taylor expansion of 0 in J 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [taylor]: Taking taylor expansion of 0 in J 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [taylor]: Taking taylor expansion of 0 in J 6.797 * [backup-simplify]: Simplify 0 into 0 6.798 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.800 * [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 6.801 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 6.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 6.802 * [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))) 6.802 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 6.802 * [taylor]: Taking taylor expansion of 1/96 in J 6.802 * [backup-simplify]: Simplify 1/96 into 1/96 6.802 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 6.802 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.803 * [taylor]: Taking taylor expansion of J in J 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [backup-simplify]: Simplify (* 1 1) into 1 6.803 * [backup-simplify]: Simplify (/ 1 1) into 1 6.803 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 6.803 * [backup-simplify]: Simplify 1/96 into 1/96 6.804 * [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))))) 6.804 * [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)))) 6.804 * [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 6.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.804 * [taylor]: Taking taylor expansion of 1/4 in J 6.804 * [backup-simplify]: Simplify 1/4 into 1/4 6.804 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.804 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.804 * [taylor]: Taking taylor expansion of J in J 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.804 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.804 * [taylor]: Taking taylor expansion of U in J 6.804 * [backup-simplify]: Simplify U into U 6.804 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.804 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.804 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.804 * [taylor]: Taking taylor expansion of 1/2 in J 6.804 * [backup-simplify]: Simplify 1/2 into 1/2 6.804 * [taylor]: Taking taylor expansion of K in J 6.804 * [backup-simplify]: Simplify K into K 6.804 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.804 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.805 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.805 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.805 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.805 * [backup-simplify]: Simplify (- 0) into 0 6.805 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.806 * [backup-simplify]: Simplify (* 1 1) into 1 6.806 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.806 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.806 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.806 * [taylor]: Taking taylor expansion of 1/4 in K 6.807 * [backup-simplify]: Simplify 1/4 into 1/4 6.807 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.807 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.807 * [taylor]: Taking taylor expansion of J in K 6.807 * [backup-simplify]: Simplify J into J 6.807 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.807 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.807 * [taylor]: Taking taylor expansion of U in K 6.807 * [backup-simplify]: Simplify U into U 6.807 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.807 * [taylor]: Taking taylor expansion of 1/2 in K 6.807 * [backup-simplify]: Simplify 1/2 into 1/2 6.807 * [taylor]: Taking taylor expansion of K in K 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.808 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.808 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.808 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.808 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.808 * [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))) 6.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.808 * [taylor]: Taking taylor expansion of 1/4 in U 6.809 * [backup-simplify]: Simplify 1/4 into 1/4 6.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.809 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.809 * [taylor]: Taking taylor expansion of J in U 6.809 * [backup-simplify]: Simplify J into J 6.809 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.809 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.809 * [taylor]: Taking taylor expansion of U in U 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.809 * [taylor]: Taking taylor expansion of 1/2 in U 6.809 * [backup-simplify]: Simplify 1/2 into 1/2 6.809 * [taylor]: Taking taylor expansion of K in U 6.809 * [backup-simplify]: Simplify K into K 6.809 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.809 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.809 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.809 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.810 * [backup-simplify]: Simplify (- 0) into 0 6.810 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.810 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.810 * [backup-simplify]: Simplify (* 1 1) into 1 6.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.811 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.811 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.811 * [taylor]: Taking taylor expansion of 1/4 in U 6.811 * [backup-simplify]: Simplify 1/4 into 1/4 6.811 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.811 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.811 * [taylor]: Taking taylor expansion of J in U 6.811 * [backup-simplify]: Simplify J into J 6.811 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.811 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.811 * [taylor]: Taking taylor expansion of U in U 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.811 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.811 * [taylor]: Taking taylor expansion of 1/2 in U 6.811 * [backup-simplify]: Simplify 1/2 into 1/2 6.811 * [taylor]: Taking taylor expansion of K in U 6.811 * [backup-simplify]: Simplify K into K 6.811 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.811 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.812 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.812 * [backup-simplify]: Simplify (- 0) into 0 6.812 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.812 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.813 * [backup-simplify]: Simplify (* 1 1) into 1 6.813 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.813 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.813 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.813 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 6.813 * [taylor]: Taking taylor expansion of 1/4 in K 6.813 * [backup-simplify]: Simplify 1/4 into 1/4 6.813 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 6.813 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.813 * [taylor]: Taking taylor expansion of J in K 6.813 * [backup-simplify]: Simplify J into J 6.813 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.813 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.814 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.814 * [taylor]: Taking taylor expansion of 1/2 in K 6.814 * [backup-simplify]: Simplify 1/2 into 1/2 6.814 * [taylor]: Taking taylor expansion of K in K 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.814 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.814 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.815 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.815 * [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))) 6.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.815 * [taylor]: Taking taylor expansion of 1/4 in J 6.815 * [backup-simplify]: Simplify 1/4 into 1/4 6.815 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.815 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.815 * [taylor]: Taking taylor expansion of J in J 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify 1 into 1 6.815 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.815 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.815 * [taylor]: Taking taylor expansion of 1/2 in J 6.815 * [backup-simplify]: Simplify 1/2 into 1/2 6.815 * [taylor]: Taking taylor expansion of K in J 6.815 * [backup-simplify]: Simplify K into K 6.815 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.815 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.815 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.816 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.816 * [backup-simplify]: Simplify (- 0) into 0 6.816 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.816 * [backup-simplify]: Simplify (* 1 1) into 1 6.817 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.817 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.817 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.817 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.817 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.818 * [backup-simplify]: Simplify (+ 0) into 0 6.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.820 * [backup-simplify]: Simplify (- 0) into 0 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.822 * [backup-simplify]: 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 6.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.823 * [taylor]: Taking taylor expansion of 0 in K 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [taylor]: Taking taylor expansion of 0 in J 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.824 * [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 6.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.824 * [taylor]: Taking taylor expansion of 0 in J 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.826 * [backup-simplify]: Simplify (+ 0) into 0 6.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.828 * [backup-simplify]: Simplify (- 0) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.829 * [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 6.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.829 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.832 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.832 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.833 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.833 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.833 * [backup-simplify]: Simplify (- 0) into 0 6.834 * [backup-simplify]: Simplify (+ 0 0) into 0 6.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.837 * [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 6.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.838 * [taylor]: Taking taylor expansion of 0 in K 6.838 * [backup-simplify]: Simplify 0 into 0 6.838 * [taylor]: Taking taylor expansion of 0 in J 6.838 * [backup-simplify]: Simplify 0 into 0 6.838 * [backup-simplify]: Simplify 0 into 0 6.838 * [taylor]: Taking taylor expansion of 0 in J 6.838 * [backup-simplify]: Simplify 0 into 0 6.838 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.840 * [backup-simplify]: 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 6.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.841 * [taylor]: Taking taylor expansion of 0 in J 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [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)))) 6.842 * [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)))) 6.842 * [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 6.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.842 * [taylor]: Taking taylor expansion of 1/4 in J 6.842 * [backup-simplify]: Simplify 1/4 into 1/4 6.842 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.842 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.842 * [taylor]: Taking taylor expansion of J in J 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify 1 into 1 6.842 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.842 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.842 * [taylor]: Taking taylor expansion of -1/2 in J 6.842 * [backup-simplify]: Simplify -1/2 into -1/2 6.842 * [taylor]: Taking taylor expansion of K in J 6.842 * [backup-simplify]: Simplify K into K 6.842 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.842 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.843 * [backup-simplify]: Simplify (- 0) into 0 6.843 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.843 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.843 * [taylor]: Taking taylor expansion of U in J 6.843 * [backup-simplify]: Simplify U into U 6.844 * [backup-simplify]: Simplify (* 1 1) into 1 6.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.844 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.844 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.844 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.844 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.844 * [taylor]: Taking taylor expansion of 1/4 in K 6.844 * [backup-simplify]: Simplify 1/4 into 1/4 6.844 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.844 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.844 * [taylor]: Taking taylor expansion of J in K 6.844 * [backup-simplify]: Simplify J into J 6.844 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.844 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.844 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.844 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.844 * [taylor]: Taking taylor expansion of -1/2 in K 6.845 * [backup-simplify]: Simplify -1/2 into -1/2 6.845 * [taylor]: Taking taylor expansion of K in K 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.845 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.845 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.845 * [taylor]: Taking taylor expansion of U in K 6.845 * [backup-simplify]: Simplify U into U 6.845 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.845 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.846 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.846 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.846 * [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))) 6.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.846 * [taylor]: Taking taylor expansion of 1/4 in U 6.846 * [backup-simplify]: Simplify 1/4 into 1/4 6.846 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.846 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.846 * [taylor]: Taking taylor expansion of J in U 6.846 * [backup-simplify]: Simplify J into J 6.846 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.846 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.846 * [taylor]: Taking taylor expansion of -1/2 in U 6.846 * [backup-simplify]: Simplify -1/2 into -1/2 6.846 * [taylor]: Taking taylor expansion of K in U 6.846 * [backup-simplify]: Simplify K into K 6.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.847 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.847 * [backup-simplify]: Simplify (- 0) into 0 6.847 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.847 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.847 * [taylor]: Taking taylor expansion of U in U 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.848 * [backup-simplify]: Simplify (* 1 1) into 1 6.848 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.848 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.848 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.848 * [taylor]: Taking taylor expansion of 1/4 in U 6.848 * [backup-simplify]: Simplify 1/4 into 1/4 6.848 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.848 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.848 * [taylor]: Taking taylor expansion of J in U 6.848 * [backup-simplify]: Simplify J into J 6.848 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.848 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.849 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.849 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.849 * [taylor]: Taking taylor expansion of -1/2 in U 6.849 * [backup-simplify]: Simplify -1/2 into -1/2 6.849 * [taylor]: Taking taylor expansion of K in U 6.849 * [backup-simplify]: Simplify K into K 6.849 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.849 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.849 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.849 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.849 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.849 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.850 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.850 * [taylor]: Taking taylor expansion of U in U 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.850 * [backup-simplify]: Simplify (* 1 1) into 1 6.850 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.851 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.851 * [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))) 6.851 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 6.851 * [taylor]: Taking taylor expansion of 1/4 in K 6.851 * [backup-simplify]: Simplify 1/4 into 1/4 6.851 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 6.851 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.851 * [taylor]: Taking taylor expansion of J in K 6.851 * [backup-simplify]: Simplify J into J 6.851 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.851 * [taylor]: Taking taylor expansion of -1/2 in K 6.851 * [backup-simplify]: Simplify -1/2 into -1/2 6.851 * [taylor]: Taking taylor expansion of K in K 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.852 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.852 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.852 * [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))) 6.852 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.852 * [taylor]: Taking taylor expansion of 1/4 in J 6.852 * [backup-simplify]: Simplify 1/4 into 1/4 6.852 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.852 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.852 * [taylor]: Taking taylor expansion of J in J 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 1 into 1 6.853 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.853 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.853 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.853 * [taylor]: Taking taylor expansion of -1/2 in J 6.853 * [backup-simplify]: Simplify -1/2 into -1/2 6.853 * [taylor]: Taking taylor expansion of K in J 6.853 * [backup-simplify]: Simplify K into K 6.853 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.853 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.853 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.853 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.854 * [backup-simplify]: Simplify (- 0) into 0 6.854 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.854 * [backup-simplify]: Simplify (* 1 1) into 1 6.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.854 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.854 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.855 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.855 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.856 * [backup-simplify]: Simplify (+ 0) into 0 6.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.859 * [backup-simplify]: Simplify (- 0) into 0 6.859 * [backup-simplify]: Simplify (+ 0 0) into 0 6.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.860 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.861 * [taylor]: Taking taylor expansion of 0 in K 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [taylor]: Taking taylor expansion of 0 in J 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.862 * [backup-simplify]: 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 6.863 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.863 * [taylor]: Taking taylor expansion of 0 in J 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.864 * [backup-simplify]: Simplify (+ 0) into 0 6.864 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.866 * [backup-simplify]: Simplify (- 0) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.867 * [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 6.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.879 * [backup-simplify]: Simplify (- 0) into 0 6.879 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.881 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.881 * [backup-simplify]: 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 6.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.882 * [taylor]: Taking taylor expansion of 0 in K 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [taylor]: Taking taylor expansion of 0 in J 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [taylor]: Taking taylor expansion of 0 in J 6.882 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.884 * [backup-simplify]: 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 6.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.885 * [taylor]: Taking taylor expansion of 0 in J 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.886 * [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)))) 6.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2 2) 6.886 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* 2 J)) into (* 2 (* (cos (* 1/2 K)) J)) 6.886 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0 6.886 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 6.886 * [taylor]: Taking taylor expansion of 2 in J 6.886 * [backup-simplify]: Simplify 2 into 2 6.886 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.886 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.886 * [taylor]: Taking taylor expansion of 1/2 in J 6.886 * [backup-simplify]: Simplify 1/2 into 1/2 6.886 * [taylor]: Taking taylor expansion of K in J 6.886 * [backup-simplify]: Simplify K into K 6.886 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.886 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.887 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.887 * [taylor]: Taking taylor expansion of J in J 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.887 * [taylor]: Taking taylor expansion of 2 in K 6.887 * [backup-simplify]: Simplify 2 into 2 6.887 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.887 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.887 * [taylor]: Taking taylor expansion of 1/2 in K 6.887 * [backup-simplify]: Simplify 1/2 into 1/2 6.887 * [taylor]: Taking taylor expansion of K in K 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.888 * [taylor]: Taking taylor expansion of J in K 6.888 * [backup-simplify]: Simplify J into J 6.888 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.888 * [taylor]: Taking taylor expansion of 2 in K 6.888 * [backup-simplify]: Simplify 2 into 2 6.888 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.888 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.888 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.888 * [taylor]: Taking taylor expansion of 1/2 in K 6.888 * [backup-simplify]: Simplify 1/2 into 1/2 6.888 * [taylor]: Taking taylor expansion of K in K 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 1 into 1 6.889 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.890 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.890 * [taylor]: Taking taylor expansion of J in K 6.890 * [backup-simplify]: Simplify J into J 6.890 * [backup-simplify]: Simplify (* 1 J) into J 6.890 * [backup-simplify]: Simplify (* 2 J) into (* 2 J) 6.890 * [taylor]: Taking taylor expansion of (* 2 J) in J 6.890 * [taylor]: Taking taylor expansion of 2 in J 6.890 * [backup-simplify]: Simplify 2 into 2 6.890 * [taylor]: Taking taylor expansion of J in J 6.890 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.891 * [backup-simplify]: Simplify (* 2 0) into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify (+ 0) into 0 6.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.892 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0 6.892 * [taylor]: Taking taylor expansion of 0 in J 6.892 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.893 * [backup-simplify]: Simplify 2 into 2 6.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 6.896 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J)) 6.896 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J 6.896 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 6.896 * [taylor]: Taking taylor expansion of 1/4 in J 6.896 * [backup-simplify]: Simplify 1/4 into 1/4 6.896 * [taylor]: Taking taylor expansion of J in J 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.897 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.901 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 6.903 * [taylor]: Taking taylor expansion of 0 in J 6.903 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 6.905 * [backup-simplify]: Simplify (- 1/4) into -1/4 6.905 * [backup-simplify]: Simplify -1/4 into -1/4 6.905 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.910 * [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 6.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 6.913 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J) 6.913 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 6.913 * [taylor]: Taking taylor expansion of 1/192 in J 6.913 * [backup-simplify]: Simplify 1/192 into 1/192 6.913 * [taylor]: Taking taylor expansion of J in J 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (* 1/192 0) into 0 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 6.915 * [backup-simplify]: Simplify (- 0) into 0 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J))) 6.916 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.916 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 6.916 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.916 * [taylor]: Taking taylor expansion of 2 in J 6.916 * [backup-simplify]: Simplify 2 into 2 6.917 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.917 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.917 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.917 * [taylor]: Taking taylor expansion of 1/2 in J 6.917 * [backup-simplify]: Simplify 1/2 into 1/2 6.917 * [taylor]: Taking taylor expansion of K in J 6.917 * [backup-simplify]: Simplify K into K 6.917 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.917 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.917 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.917 * [taylor]: Taking taylor expansion of J in J 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.917 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.918 * [backup-simplify]: Simplify (- 0) into 0 6.918 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.918 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.918 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.918 * [taylor]: Taking taylor expansion of 2 in K 6.918 * [backup-simplify]: Simplify 2 into 2 6.918 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.918 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.918 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.918 * [taylor]: Taking taylor expansion of 1/2 in K 6.918 * [backup-simplify]: Simplify 1/2 into 1/2 6.918 * [taylor]: Taking taylor expansion of K in K 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.918 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.919 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.919 * [taylor]: Taking taylor expansion of J in K 6.919 * [backup-simplify]: Simplify J into J 6.919 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.919 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.919 * [taylor]: Taking taylor expansion of 2 in K 6.919 * [backup-simplify]: Simplify 2 into 2 6.919 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.919 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.919 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.919 * [taylor]: Taking taylor expansion of 1/2 in K 6.919 * [backup-simplify]: Simplify 1/2 into 1/2 6.919 * [taylor]: Taking taylor expansion of K in K 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.920 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.920 * [taylor]: Taking taylor expansion of J in K 6.920 * [backup-simplify]: Simplify J into J 6.920 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.920 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.920 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.920 * [taylor]: Taking taylor expansion of 2 in J 6.920 * [backup-simplify]: Simplify 2 into 2 6.920 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.920 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.920 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.920 * [taylor]: Taking taylor expansion of 1/2 in J 6.920 * [backup-simplify]: Simplify 1/2 into 1/2 6.920 * [taylor]: Taking taylor expansion of K in J 6.920 * [backup-simplify]: Simplify K into K 6.920 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.920 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.920 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.920 * [taylor]: Taking taylor expansion of J in J 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.921 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.921 * [backup-simplify]: Simplify (- 0) into 0 6.921 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.921 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.921 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.921 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.922 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 6.922 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 6.922 * [taylor]: Taking taylor expansion of 0 in J 6.922 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify (+ 0) into 0 6.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify (+ 0 0) into 0 6.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 6.928 * [taylor]: Taking taylor expansion of 0 in J 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.932 * [backup-simplify]: Simplify (- 0) into 0 6.932 * [backup-simplify]: Simplify (+ 0 0) into 0 6.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 6.936 * [taylor]: Taking taylor expansion of 0 in J 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.941 * [backup-simplify]: Simplify (- 0) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 6.945 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.945 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 6.945 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.945 * [taylor]: Taking taylor expansion of -2 in J 6.945 * [backup-simplify]: Simplify -2 into -2 6.945 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.945 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.945 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.945 * [taylor]: Taking taylor expansion of -1/2 in J 6.945 * [backup-simplify]: Simplify -1/2 into -1/2 6.945 * [taylor]: Taking taylor expansion of K in J 6.945 * [backup-simplify]: Simplify K into K 6.945 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.946 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.946 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.946 * [taylor]: Taking taylor expansion of J in J 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.946 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.946 * [backup-simplify]: Simplify (- 0) into 0 6.946 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.946 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.947 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.947 * [taylor]: Taking taylor expansion of -2 in K 6.947 * [backup-simplify]: Simplify -2 into -2 6.947 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.947 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.947 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.947 * [taylor]: Taking taylor expansion of -1/2 in K 6.947 * [backup-simplify]: Simplify -1/2 into -1/2 6.947 * [taylor]: Taking taylor expansion of K in K 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.947 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.947 * [taylor]: Taking taylor expansion of J in K 6.947 * [backup-simplify]: Simplify J into J 6.947 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.948 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.948 * [taylor]: Taking taylor expansion of -2 in K 6.948 * [backup-simplify]: Simplify -2 into -2 6.948 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.948 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.948 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.948 * [taylor]: Taking taylor expansion of -1/2 in K 6.948 * [backup-simplify]: Simplify -1/2 into -1/2 6.948 * [taylor]: Taking taylor expansion of K in K 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify 1 into 1 6.948 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.948 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.948 * [taylor]: Taking taylor expansion of J in K 6.948 * [backup-simplify]: Simplify J into J 6.948 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.949 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.949 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.949 * [taylor]: Taking taylor expansion of -2 in J 6.949 * [backup-simplify]: Simplify -2 into -2 6.949 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.949 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.949 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.949 * [taylor]: Taking taylor expansion of -1/2 in J 6.949 * [backup-simplify]: Simplify -1/2 into -1/2 6.949 * [taylor]: Taking taylor expansion of K in J 6.949 * [backup-simplify]: Simplify K into K 6.949 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.949 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.949 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.949 * [taylor]: Taking taylor expansion of J in J 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.949 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.950 * [backup-simplify]: Simplify (- 0) into 0 6.950 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.950 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.950 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.950 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.950 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 6.951 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 6.951 * [taylor]: Taking taylor expansion of 0 in J 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify (+ 0) into 0 6.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.952 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.953 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.954 * [backup-simplify]: Simplify (- 0) into 0 6.954 * [backup-simplify]: Simplify (+ 0 0) into 0 6.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.955 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.955 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.957 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 6.957 * [taylor]: Taking taylor expansion of 0 in J 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.961 * [backup-simplify]: Simplify (- 0) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.963 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.965 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 6.965 * [taylor]: Taking taylor expansion of 0 in J 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.970 * [backup-simplify]: Simplify (- 0) into 0 6.970 * [backup-simplify]: Simplify (+ 0 0) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J)) 6.974 * * * [progress]: simplifying candidates 6.974 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 6.974 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 6.975 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 6.975 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 6.976 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 6.977 * * * * [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)))))))> 6.977 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 6.977 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 6.978 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 6.979 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 6.980 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 6.981 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 6.982 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> 6.983 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 6.983 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> 6.984 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 6.984 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 6.985 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 6.985 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 6.985 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 6.985 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 6.988 * [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) (log (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (exp (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (* 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 J) J) (* (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* -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)))))) (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 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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))))) (* J (* (* -2 (cos (/ K 2))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))))) (real->posit16 (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (+ 1 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (+ 1 1) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J))))) (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J))))) (log (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (exp (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* 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 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 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 2) 2) (* (* 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)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 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)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (sqrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (sqrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* U U) (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2)))) (* (/ (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))) (/ 1 (cos (/ K 2)))) (* (/ U (* 2 J)) (/ U (* 2 J))) (* 1 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* U U) (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ 1 (* (cos (/ K 2)) (* 2 J)))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* 2 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (sqrt U) (cos (/ K 2)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ 1 (cos (/ K 2)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) U) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ (cbrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ (sqrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) U) (* U (/ U (* (cos (/ K 2)) (* 2 J)))) (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J)) (+ (log (cos (/ K 2))) (+ (log 2) (log J))) (+ (log (cos (/ K 2))) (log (* 2 J))) (log (* (cos (/ K 2)) (* 2 J))) (exp (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J))) (* (cbrt (* (cos (/ K 2)) (* 2 J))) (cbrt (* (cos (/ K 2)) (* 2 J)))) (cbrt (* (cos (/ K 2)) (* 2 J))) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) 2) (* (cbrt (cos (/ K 2))) (* 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)) 6.994 * * [simplify]: iteration 0: 237 enodes 7.085 * * [simplify]: iteration 1: 696 enodes 7.302 * * [simplify]: iteration 2: 2003 enodes 7.717 * * [simplify]: iteration complete: 2003 enodes 7.717 * * [simplify]: Extracting #0: cost 93 inf + 0 7.719 * * [simplify]: Extracting #1: cost 597 inf + 4 7.725 * * [simplify]: Extracting #2: cost 818 inf + 3404 7.733 * * [simplify]: Extracting #3: cost 762 inf + 12643 7.740 * * [simplify]: Extracting #4: cost 704 inf + 19935 7.748 * * [simplify]: Extracting #5: cost 554 inf + 55030 7.772 * * [simplify]: Extracting #6: cost 259 inf + 164557 7.858 * * [simplify]: Extracting #7: cost 67 inf + 245787 7.939 * * [simplify]: Extracting #8: cost 2 inf + 278562 8.018 * * [simplify]: Extracting #9: cost 0 inf + 279168 8.089 * [simplify]: Simplified to: (log (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (* (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)) (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)) (fabs (cbrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (sqrt (cbrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) 1 (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)) (sqrt (+ (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) 1)) (sqrt (+ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ 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)))))))) (sqrt (+ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) -1)) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) -1)) 1/2 (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J) (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J) (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J) (log (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (log (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (log (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (log (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (exp (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (* (* (* (* J J) J) (* (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))) (* (* (* -2 4) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (* (* (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)) (* (* (* 2 (cos (/ K 2))) (* 2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* J J)) J) (* (* (* (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (* -2 (cos (/ K 2)))) (* (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1) (* -2 (cos (/ K 2))))) (* J J)) J) (* (cbrt (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (cbrt (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J))) (cbrt (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (* (* (* (* (* (* J (cos (/ K 2))) -2) (* (* J (cos (/ K 2))) -2)) (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)) (* (* J (cos (/ K 2))) -2)) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (sqrt (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (sqrt (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) (* (* J (cos (/ K 2))) -2) (* (* (* (cbrt J) -2) (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) (* (* (sqrt J) -2) (* (cos (/ K 2)) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))) (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J) (* J (* (sqrt (+ (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) 1)) (* -2 (cos (/ K 2))))) (* (* J (sqrt (+ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) -1))) (* -2 (cos (/ K 2)))) (real->posit16 (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))) J)) 2 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 2 (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (exp (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (* (* J J) J) 2) 4)) (/ (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (* (* J J) J) 2) 4))) (* (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (/ (/ (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* 2 J) (* (* 2 J) (* 2 J)))) (* (* (* (* J J) J) 2) 4))) (/ (* (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* U (* U U))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) 4) (* (* 2 J) (* J J))))) (/ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* U (* U U))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) 4) (* (* 2 J) (* J J))))) (* (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (/ (/ (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* 2 J) (* (* 2 J) (* 2 J)))) (* (* (* (* J J) J) 2) 4))) (* (/ (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* 2 J) (* (* 2 J) (* 2 J)))) (/ (* (/ U (cos (/ K 2))) (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* 2 J) (* (* 2 J) (* 2 J))))) (* (/ (* U (* U U)) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (* 2 J))))) (* (/ (* U (* U U)) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (* 2 J))))) (/ (* (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* U (* U U))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) 4) (* (* 2 J) (* J J))))) (* (/ (* U (* U U)) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (* 2 J))))) (* (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))))) (/ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* U (* U U))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) 4) (* (* 2 J) (* J J))))) (* (/ (* U (* U U)) (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (* 2 J))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cbrt (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (fabs (/ U (* (* 2 J) (cos (/ K 2))))) (fabs (/ U (* (* 2 J) (cos (/ K 2))))) (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ (cbrt U) (/ (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))) (/ 1 (cos (/ K 2)))) (* (/ U (* 2 J)) (/ U (* 2 J))) 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* U U) (* (/ 1 (* (* 2 J) (cos (/ K 2)))) (/ 1 (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))) 2 (* (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (* U (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U)))) (* (* 2 J) (cos (/ K 2)))) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (/ U (* (* 2 J) (cos (/ K 2)))) (cos (/ K 2))) (/ U (* (* 2 J) (cos (/ K 2)))) (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (* (/ (cbrt U) (* 2 J)) U) (* (* 2 J) (cos (/ K 2)))) (* (/ (/ (sqrt U) (* 2 J)) (* 2 J)) (/ U (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (real->posit16 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))) (log (* (* 2 J) (cos (/ K 2)))) (log (* (* 2 J) (cos (/ K 2)))) (log (* (* 2 J) (cos (/ K 2)))) (exp (* (* 2 J) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) 4) (* (* 2 J) (* J J)))) (* (* (* (* 2 J) (* (* 2 J) (* 2 J))) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) (cbrt (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (sqrt (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (* (cos (/ K 2)) 2) (* (* 2 J) (cbrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* 2 J)) (* (* 2 J) (cos (/ K 2))) (real->posit16 (* (* 2 J) (cos (/ K 2)))) 1 (/ (* 1/2 U) (* (cos (* 1/2 K)) J)) (/ (* 1/2 U) (* (cos (* 1/2 K)) J)) 0 (* (* -2 (cos (* 1/2 K))) J) (* (* -2 (cos (* 1/2 K))) J) (+ (+ (* (/ (* K K) (/ (* J 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))) 8.106 * * * [progress]: adding candidates to table 10.068 * * [progress]: iteration 3 / 4 10.068 * * * [progress]: picking best candidate 10.152 * * * * [pick]: Picked # 10.152 * * * [progress]: localizing error 10.227 * * * [progress]: generating rewritten candidates 10.227 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 10.365 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 10.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 10.773 * * * [progress]: generating series expansions 10.774 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 10.774 * [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)) 10.774 * [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 10.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.774 * [taylor]: Taking taylor expansion of 1/4 in J 10.774 * [backup-simplify]: Simplify 1/4 into 1/4 10.774 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.774 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.774 * [taylor]: Taking taylor expansion of U in J 10.774 * [backup-simplify]: Simplify U into U 10.774 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.774 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.774 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.775 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.775 * [taylor]: Taking taylor expansion of 1/2 in J 10.775 * [backup-simplify]: Simplify 1/2 into 1/2 10.775 * [taylor]: Taking taylor expansion of K in J 10.775 * [backup-simplify]: Simplify K into K 10.775 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.775 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.775 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.775 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.776 * [backup-simplify]: Simplify (- 0) into 0 10.776 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.776 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.776 * [taylor]: Taking taylor expansion of J in J 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 1 into 1 10.776 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.777 * [backup-simplify]: Simplify (* 1 1) into 1 10.777 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.777 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.777 * [taylor]: Taking taylor expansion of 1 in J 10.777 * [backup-simplify]: Simplify 1 into 1 10.777 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.777 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.778 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.778 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.779 * [backup-simplify]: Simplify (+ 0) into 0 10.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.781 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.782 * [backup-simplify]: Simplify (- 0) into 0 10.782 * [backup-simplify]: Simplify (+ 0 0) into 0 10.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.783 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.783 * [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 10.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 10.784 * [backup-simplify]: Simplify (+ 0 0) into 0 10.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.784 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.785 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.785 * [taylor]: Taking taylor expansion of 1/4 in K 10.785 * [backup-simplify]: Simplify 1/4 into 1/4 10.785 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.785 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.785 * [taylor]: Taking taylor expansion of U in K 10.785 * [backup-simplify]: Simplify U into U 10.785 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.785 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.785 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.785 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.785 * [taylor]: Taking taylor expansion of 1/2 in K 10.785 * [backup-simplify]: Simplify 1/2 into 1/2 10.785 * [taylor]: Taking taylor expansion of K in K 10.785 * [backup-simplify]: Simplify 0 into 0 10.785 * [backup-simplify]: Simplify 1 into 1 10.785 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.786 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.786 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.786 * [taylor]: Taking taylor expansion of J in K 10.786 * [backup-simplify]: Simplify J into J 10.786 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.787 * [backup-simplify]: Simplify (* 1 1) into 1 10.787 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.787 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.787 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.787 * [taylor]: Taking taylor expansion of 1 in K 10.787 * [backup-simplify]: Simplify 1 into 1 10.787 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.787 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.787 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.788 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.788 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.788 * [backup-simplify]: Simplify (+ 0) into 0 10.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 10.790 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 10.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 10.791 * [backup-simplify]: Simplify (+ 0 0) into 0 10.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.791 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.791 * [taylor]: Taking taylor expansion of 1/4 in U 10.791 * [backup-simplify]: Simplify 1/4 into 1/4 10.791 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.791 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.791 * [taylor]: Taking taylor expansion of U in U 10.791 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify 1 into 1 10.791 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.791 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.791 * [taylor]: Taking taylor expansion of 1/2 in U 10.791 * [backup-simplify]: Simplify 1/2 into 1/2 10.791 * [taylor]: Taking taylor expansion of K in U 10.791 * [backup-simplify]: Simplify K into K 10.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.792 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.792 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.792 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.792 * [backup-simplify]: Simplify (- 0) into 0 10.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.792 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.792 * [taylor]: Taking taylor expansion of J in U 10.792 * [backup-simplify]: Simplify J into J 10.793 * [backup-simplify]: Simplify (* 1 1) into 1 10.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.793 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.793 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.793 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.793 * [taylor]: Taking taylor expansion of 1 in U 10.793 * [backup-simplify]: Simplify 1 into 1 10.794 * [backup-simplify]: Simplify (+ 0 1) into 1 10.794 * [backup-simplify]: Simplify (sqrt 1) into 1 10.795 * [backup-simplify]: Simplify (+ 0 0) into 0 10.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.795 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.795 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.796 * [taylor]: Taking taylor expansion of 1/4 in U 10.796 * [backup-simplify]: Simplify 1/4 into 1/4 10.796 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.796 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.796 * [taylor]: Taking taylor expansion of U in U 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.796 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.796 * [taylor]: Taking taylor expansion of 1/2 in U 10.796 * [backup-simplify]: Simplify 1/2 into 1/2 10.796 * [taylor]: Taking taylor expansion of K in U 10.796 * [backup-simplify]: Simplify K into K 10.796 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.796 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.796 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.796 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.797 * [backup-simplify]: Simplify (- 0) into 0 10.797 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.797 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.797 * [taylor]: Taking taylor expansion of J in U 10.797 * [backup-simplify]: Simplify J into J 10.797 * [backup-simplify]: Simplify (* 1 1) into 1 10.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.798 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.798 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.798 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.798 * [taylor]: Taking taylor expansion of 1 in U 10.798 * [backup-simplify]: Simplify 1 into 1 10.798 * [backup-simplify]: Simplify (+ 0 1) into 1 10.799 * [backup-simplify]: Simplify (sqrt 1) into 1 10.799 * [backup-simplify]: Simplify (+ 0 0) into 0 10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.800 * [taylor]: Taking taylor expansion of 1 in K 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [taylor]: Taking taylor expansion of 1 in J 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [taylor]: Taking taylor expansion of 0 in K 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [taylor]: Taking taylor expansion of 0 in J 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [taylor]: Taking taylor expansion of 0 in J 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 1 into 1 10.801 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.801 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.802 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.802 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.803 * [taylor]: Taking taylor expansion of 1/8 in K 10.803 * [backup-simplify]: Simplify 1/8 into 1/8 10.803 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.803 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.803 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.803 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.803 * [taylor]: Taking taylor expansion of 1/2 in K 10.803 * [backup-simplify]: Simplify 1/2 into 1/2 10.803 * [taylor]: Taking taylor expansion of K in K 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify 1 into 1 10.803 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.804 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.804 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.804 * [taylor]: Taking taylor expansion of J in K 10.804 * [backup-simplify]: Simplify J into J 10.805 * [backup-simplify]: Simplify (* 1 1) into 1 10.805 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.805 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.805 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 10.805 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 10.805 * [taylor]: Taking taylor expansion of 1/8 in J 10.805 * [backup-simplify]: Simplify 1/8 into 1/8 10.805 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.805 * [taylor]: Taking taylor expansion of J in J 10.805 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify 1 into 1 10.806 * [backup-simplify]: Simplify (* 1 1) into 1 10.806 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 10.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [taylor]: Taking taylor expansion of 0 in J 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [taylor]: Taking taylor expansion of 0 in J 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.809 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.809 * [backup-simplify]: Simplify (+ 0) into 0 10.810 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.812 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.812 * [backup-simplify]: Simplify (- 0) into 0 10.813 * [backup-simplify]: Simplify (+ 0 0) into 0 10.813 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.813 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 10.814 * [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 10.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 10.815 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.815 * [taylor]: Taking taylor expansion of 0 in K 10.815 * [backup-simplify]: Simplify 0 into 0 10.816 * [taylor]: Taking taylor expansion of 0 in J 10.816 * [backup-simplify]: Simplify 0 into 0 10.816 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.816 * [backup-simplify]: Simplify (+ 0) into 0 10.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 10.818 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 10.818 * [taylor]: Taking taylor expansion of 0 in J 10.818 * [backup-simplify]: Simplify 0 into 0 10.818 * [taylor]: Taking taylor expansion of 0 in J 10.818 * [backup-simplify]: Simplify 0 into 0 10.818 * [taylor]: Taking taylor expansion of 0 in J 10.818 * [backup-simplify]: Simplify 0 into 0 10.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 1 into 1 10.821 * [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)) 10.821 * [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 10.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.821 * [taylor]: Taking taylor expansion of 1/4 in J 10.821 * [backup-simplify]: Simplify 1/4 into 1/4 10.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.821 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.821 * [taylor]: Taking taylor expansion of J in J 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 1 into 1 10.821 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.821 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.821 * [taylor]: Taking taylor expansion of U in J 10.821 * [backup-simplify]: Simplify U into U 10.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.821 * [taylor]: Taking taylor expansion of 1/2 in J 10.821 * [backup-simplify]: Simplify 1/2 into 1/2 10.821 * [taylor]: Taking taylor expansion of K in J 10.821 * [backup-simplify]: Simplify K into K 10.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.822 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.822 * [backup-simplify]: Simplify (- 0) into 0 10.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.823 * [backup-simplify]: Simplify (* 1 1) into 1 10.823 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.823 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.823 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.823 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.823 * [taylor]: Taking taylor expansion of 1 in J 10.823 * [backup-simplify]: Simplify 1 into 1 10.824 * [backup-simplify]: Simplify (+ 0 1) into 1 10.824 * [backup-simplify]: Simplify (sqrt 1) into 1 10.824 * [backup-simplify]: Simplify (+ 0 0) into 0 10.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.825 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.825 * [taylor]: Taking taylor expansion of 1/4 in K 10.825 * [backup-simplify]: Simplify 1/4 into 1/4 10.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.825 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.825 * [taylor]: Taking taylor expansion of J in K 10.825 * [backup-simplify]: Simplify J into J 10.825 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.826 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.826 * [taylor]: Taking taylor expansion of U in K 10.826 * [backup-simplify]: Simplify U into U 10.826 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.826 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.826 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.826 * [taylor]: Taking taylor expansion of 1/2 in K 10.826 * [backup-simplify]: Simplify 1/2 into 1/2 10.826 * [taylor]: Taking taylor expansion of K in K 10.826 * [backup-simplify]: Simplify 0 into 0 10.826 * [backup-simplify]: Simplify 1 into 1 10.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.826 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.826 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.826 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.827 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.827 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.827 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.827 * [taylor]: Taking taylor expansion of 1 in K 10.827 * [backup-simplify]: Simplify 1 into 1 10.827 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.828 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.828 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.829 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.829 * [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 10.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.830 * [backup-simplify]: Simplify (+ 0 0) into 0 10.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.831 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.831 * [taylor]: Taking taylor expansion of 1/4 in U 10.831 * [backup-simplify]: Simplify 1/4 into 1/4 10.831 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.831 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.831 * [taylor]: Taking taylor expansion of J in U 10.831 * [backup-simplify]: Simplify J into J 10.831 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.831 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.831 * [taylor]: Taking taylor expansion of U in U 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 1 into 1 10.831 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.831 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.831 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.831 * [taylor]: Taking taylor expansion of 1/2 in U 10.831 * [backup-simplify]: Simplify 1/2 into 1/2 10.831 * [taylor]: Taking taylor expansion of K in U 10.831 * [backup-simplify]: Simplify K into K 10.832 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.832 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.832 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.832 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.832 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.832 * [backup-simplify]: Simplify (- 0) into 0 10.832 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.832 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.833 * [backup-simplify]: Simplify (* 1 1) into 1 10.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.833 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.833 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.833 * [taylor]: Taking taylor expansion of 1 in U 10.833 * [backup-simplify]: Simplify 1 into 1 10.833 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.833 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.833 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.833 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.834 * [backup-simplify]: Simplify (+ 0) into 0 10.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.835 * [backup-simplify]: Simplify (+ 0 0) into 0 10.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.836 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.837 * [backup-simplify]: Simplify (+ 0 0) into 0 10.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.837 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.837 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.837 * [taylor]: Taking taylor expansion of 1/4 in U 10.837 * [backup-simplify]: Simplify 1/4 into 1/4 10.837 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.837 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.837 * [taylor]: Taking taylor expansion of J in U 10.837 * [backup-simplify]: Simplify J into J 10.838 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.838 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.838 * [taylor]: Taking taylor expansion of U in U 10.838 * [backup-simplify]: Simplify 0 into 0 10.838 * [backup-simplify]: Simplify 1 into 1 10.838 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.838 * [taylor]: Taking taylor expansion of 1/2 in U 10.838 * [backup-simplify]: Simplify 1/2 into 1/2 10.838 * [taylor]: Taking taylor expansion of K in U 10.838 * [backup-simplify]: Simplify K into K 10.838 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.838 * [backup-simplify]: Simplify (- 0) into 0 10.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.839 * [backup-simplify]: Simplify (* 1 1) into 1 10.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.839 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.839 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.839 * [taylor]: Taking taylor expansion of 1 in U 10.839 * [backup-simplify]: Simplify 1 into 1 10.839 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.839 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.839 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.839 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.840 * [backup-simplify]: Simplify (+ 0) into 0 10.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.840 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.844 * [backup-simplify]: Simplify (- 0) into 0 10.844 * [backup-simplify]: Simplify (+ 0 0) into 0 10.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.845 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.846 * [backup-simplify]: Simplify (+ 0 0) into 0 10.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 10.846 * [taylor]: Taking taylor expansion of 1/2 in K 10.846 * [backup-simplify]: Simplify 1/2 into 1/2 10.846 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 10.846 * [taylor]: Taking taylor expansion of J in K 10.846 * [backup-simplify]: Simplify J into J 10.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.846 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.846 * [taylor]: Taking taylor expansion of 1/2 in K 10.846 * [backup-simplify]: Simplify 1/2 into 1/2 10.846 * [taylor]: Taking taylor expansion of K in K 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.846 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.846 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.847 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.847 * [taylor]: Taking taylor expansion of 1/2 in J 10.847 * [backup-simplify]: Simplify 1/2 into 1/2 10.847 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.847 * [taylor]: Taking taylor expansion of J in J 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 1 into 1 10.847 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.847 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.847 * [taylor]: Taking taylor expansion of 1/2 in J 10.847 * [backup-simplify]: Simplify 1/2 into 1/2 10.847 * [taylor]: Taking taylor expansion of K in J 10.847 * [backup-simplify]: Simplify K into K 10.847 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.847 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.847 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.847 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.847 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.847 * [backup-simplify]: Simplify (- 0) into 0 10.847 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.847 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.847 * [taylor]: Taking taylor expansion of 0 in K 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [taylor]: Taking taylor expansion of 0 in J 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.848 * [taylor]: Taking taylor expansion of 0 in J 10.848 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.848 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.848 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.850 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.851 * [backup-simplify]: Simplify (- 0) into 0 10.851 * [backup-simplify]: Simplify (+ 0 0) into 0 10.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.853 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.853 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.853 * [backup-simplify]: Simplify (+ 0 1) into 1 10.854 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.854 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.854 * [taylor]: Taking taylor expansion of 1/2 in K 10.854 * [backup-simplify]: Simplify 1/2 into 1/2 10.854 * [taylor]: Taking taylor expansion of K in K 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.854 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.854 * [taylor]: Taking taylor expansion of J in K 10.854 * [backup-simplify]: Simplify J into J 10.855 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.855 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.855 * [taylor]: Taking taylor expansion of 1/2 in J 10.855 * [backup-simplify]: Simplify 1/2 into 1/2 10.855 * [taylor]: Taking taylor expansion of K in J 10.855 * [backup-simplify]: Simplify K into K 10.855 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.855 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.855 * [taylor]: Taking taylor expansion of J in J 10.855 * [backup-simplify]: Simplify 0 into 0 10.855 * [backup-simplify]: Simplify 1 into 1 10.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.855 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.855 * [backup-simplify]: Simplify (- 0) into 0 10.855 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.855 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.855 * [backup-simplify]: Simplify (+ 0) into 0 10.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.857 * [backup-simplify]: Simplify (- 0) into 0 10.857 * [backup-simplify]: Simplify (+ 0 0) into 0 10.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.858 * [backup-simplify]: Simplify 0 into 0 10.858 * [taylor]: Taking taylor expansion of 0 in J 10.858 * [backup-simplify]: Simplify 0 into 0 10.858 * [backup-simplify]: Simplify 0 into 0 10.858 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.859 * [taylor]: Taking taylor expansion of 0 in J 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify (+ 0) into 0 10.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.860 * [backup-simplify]: Simplify (- 0) into 0 10.861 * [backup-simplify]: Simplify (+ 0 0) into 0 10.861 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [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))) 10.862 * [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)))))) 10.863 * [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 10.863 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.863 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.863 * [taylor]: Taking taylor expansion of 1 in J 10.863 * [backup-simplify]: Simplify 1 into 1 10.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.863 * [taylor]: Taking taylor expansion of 1/4 in J 10.863 * [backup-simplify]: Simplify 1/4 into 1/4 10.863 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.863 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.863 * [taylor]: Taking taylor expansion of J in J 10.863 * [backup-simplify]: Simplify 0 into 0 10.863 * [backup-simplify]: Simplify 1 into 1 10.863 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.863 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.863 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.863 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.863 * [taylor]: Taking taylor expansion of -1/2 in J 10.863 * [backup-simplify]: Simplify -1/2 into -1/2 10.863 * [taylor]: Taking taylor expansion of K in J 10.863 * [backup-simplify]: Simplify K into K 10.863 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.863 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.863 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.863 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.864 * [backup-simplify]: Simplify (- 0) into 0 10.864 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.864 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.864 * [taylor]: Taking taylor expansion of U in J 10.864 * [backup-simplify]: Simplify U into U 10.864 * [backup-simplify]: Simplify (* 1 1) into 1 10.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.865 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.865 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.865 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.865 * [backup-simplify]: Simplify (+ 1 0) into 1 10.866 * [backup-simplify]: Simplify (sqrt 1) into 1 10.866 * [backup-simplify]: Simplify (+ 0 0) into 0 10.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.867 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.867 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.867 * [taylor]: Taking taylor expansion of 1 in K 10.867 * [backup-simplify]: Simplify 1 into 1 10.867 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.867 * [taylor]: Taking taylor expansion of 1/4 in K 10.867 * [backup-simplify]: Simplify 1/4 into 1/4 10.867 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.867 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.867 * [taylor]: Taking taylor expansion of J in K 10.867 * [backup-simplify]: Simplify J into J 10.867 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.867 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.867 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.867 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.867 * [taylor]: Taking taylor expansion of -1/2 in K 10.867 * [backup-simplify]: Simplify -1/2 into -1/2 10.867 * [taylor]: Taking taylor expansion of K in K 10.867 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.868 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.868 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.868 * [taylor]: Taking taylor expansion of U in K 10.868 * [backup-simplify]: Simplify U into U 10.868 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.868 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.868 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.869 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.869 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.869 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.869 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.870 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.870 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.870 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.870 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.870 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 10.871 * [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 10.872 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 10.872 * [backup-simplify]: Simplify (+ 0 0) into 0 10.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.873 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.873 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.873 * [taylor]: Taking taylor expansion of 1 in U 10.873 * [backup-simplify]: Simplify 1 into 1 10.873 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.873 * [taylor]: Taking taylor expansion of 1/4 in U 10.873 * [backup-simplify]: Simplify 1/4 into 1/4 10.873 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.873 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.873 * [taylor]: Taking taylor expansion of J in U 10.873 * [backup-simplify]: Simplify J into J 10.873 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.873 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.873 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.873 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.873 * [taylor]: Taking taylor expansion of -1/2 in U 10.873 * [backup-simplify]: Simplify -1/2 into -1/2 10.873 * [taylor]: Taking taylor expansion of K in U 10.873 * [backup-simplify]: Simplify K into K 10.873 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.873 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.873 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.873 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.874 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.874 * [backup-simplify]: Simplify (- 0) into 0 10.874 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.874 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.874 * [taylor]: Taking taylor expansion of U in U 10.874 * [backup-simplify]: Simplify 0 into 0 10.874 * [backup-simplify]: Simplify 1 into 1 10.874 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.875 * [backup-simplify]: Simplify (* 1 1) into 1 10.875 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.875 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.876 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.876 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.876 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.876 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.877 * [backup-simplify]: Simplify (+ 0) into 0 10.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.879 * [backup-simplify]: Simplify (- 0) into 0 10.880 * [backup-simplify]: Simplify (+ 0 0) into 0 10.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.881 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.881 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.882 * [backup-simplify]: Simplify (+ 0 0) into 0 10.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.882 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.882 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.882 * [taylor]: Taking taylor expansion of 1 in U 10.882 * [backup-simplify]: Simplify 1 into 1 10.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.882 * [taylor]: Taking taylor expansion of 1/4 in U 10.883 * [backup-simplify]: Simplify 1/4 into 1/4 10.883 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.883 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.883 * [taylor]: Taking taylor expansion of J in U 10.883 * [backup-simplify]: Simplify J into J 10.883 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.883 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.883 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.883 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.883 * [taylor]: Taking taylor expansion of -1/2 in U 10.883 * [backup-simplify]: Simplify -1/2 into -1/2 10.883 * [taylor]: Taking taylor expansion of K in U 10.883 * [backup-simplify]: Simplify K into K 10.883 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.883 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.883 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.883 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.883 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.884 * [backup-simplify]: Simplify (- 0) into 0 10.884 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.884 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.884 * [taylor]: Taking taylor expansion of U in U 10.884 * [backup-simplify]: Simplify 0 into 0 10.884 * [backup-simplify]: Simplify 1 into 1 10.884 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.884 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.884 * [backup-simplify]: Simplify (* 1 1) into 1 10.885 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.885 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.885 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.885 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.885 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.885 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.887 * [backup-simplify]: Simplify (+ 0) into 0 10.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.887 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.890 * [backup-simplify]: Simplify (- 0) into 0 10.890 * [backup-simplify]: Simplify (+ 0 0) into 0 10.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.891 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.891 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.892 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.893 * [backup-simplify]: Simplify (+ 0 0) into 0 10.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 10.893 * [taylor]: Taking taylor expansion of 1/2 in K 10.893 * [backup-simplify]: Simplify 1/2 into 1/2 10.893 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 10.893 * [taylor]: Taking taylor expansion of J in K 10.893 * [backup-simplify]: Simplify J into J 10.893 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.893 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.893 * [taylor]: Taking taylor expansion of -1/2 in K 10.893 * [backup-simplify]: Simplify -1/2 into -1/2 10.893 * [taylor]: Taking taylor expansion of K in K 10.893 * [backup-simplify]: Simplify 0 into 0 10.893 * [backup-simplify]: Simplify 1 into 1 10.893 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.893 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.893 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.894 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 10.894 * [taylor]: Taking taylor expansion of 1/2 in J 10.894 * [backup-simplify]: Simplify 1/2 into 1/2 10.894 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.894 * [taylor]: Taking taylor expansion of J in J 10.894 * [backup-simplify]: Simplify 0 into 0 10.894 * [backup-simplify]: Simplify 1 into 1 10.894 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.894 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.894 * [taylor]: Taking taylor expansion of -1/2 in J 10.894 * [backup-simplify]: Simplify -1/2 into -1/2 10.894 * [taylor]: Taking taylor expansion of K in J 10.894 * [backup-simplify]: Simplify K into K 10.894 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.894 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.894 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.894 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.894 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.894 * [backup-simplify]: Simplify (- 0) into 0 10.894 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.894 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.894 * [taylor]: Taking taylor expansion of 0 in K 10.894 * [backup-simplify]: Simplify 0 into 0 10.894 * [taylor]: Taking taylor expansion of 0 in J 10.894 * [backup-simplify]: Simplify 0 into 0 10.894 * [backup-simplify]: Simplify 0 into 0 10.895 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.895 * [taylor]: Taking taylor expansion of 0 in J 10.895 * [backup-simplify]: Simplify 0 into 0 10.895 * [backup-simplify]: Simplify 0 into 0 10.895 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 10.895 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.896 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.898 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.898 * [backup-simplify]: Simplify (- 0) into 0 10.899 * [backup-simplify]: Simplify (+ 0 0) into 0 10.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.900 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.901 * [backup-simplify]: Simplify (+ 1 0) into 1 10.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.901 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.901 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.901 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.901 * [taylor]: Taking taylor expansion of -1/2 in K 10.901 * [backup-simplify]: Simplify -1/2 into -1/2 10.901 * [taylor]: Taking taylor expansion of K in K 10.901 * [backup-simplify]: Simplify 0 into 0 10.901 * [backup-simplify]: Simplify 1 into 1 10.902 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.902 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.902 * [taylor]: Taking taylor expansion of J in K 10.902 * [backup-simplify]: Simplify J into J 10.902 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.902 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.902 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.902 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.902 * [taylor]: Taking taylor expansion of -1/2 in J 10.902 * [backup-simplify]: Simplify -1/2 into -1/2 10.902 * [taylor]: Taking taylor expansion of K in J 10.902 * [backup-simplify]: Simplify K into K 10.902 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.902 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.902 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.902 * [taylor]: Taking taylor expansion of J in J 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.902 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.902 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.902 * [backup-simplify]: Simplify (- 0) into 0 10.902 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.902 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.903 * [backup-simplify]: Simplify (+ 0) into 0 10.903 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.904 * [backup-simplify]: Simplify (- 0) into 0 10.904 * [backup-simplify]: Simplify (+ 0 0) into 0 10.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [taylor]: Taking taylor expansion of 0 in J 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.906 * [taylor]: Taking taylor expansion of 0 in J 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify (+ 0) into 0 10.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.907 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.908 * [backup-simplify]: Simplify (- 0) into 0 10.908 * [backup-simplify]: Simplify (+ 0 0) into 0 10.908 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.908 * [backup-simplify]: Simplify 0 into 0 10.908 * [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))) 10.908 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 10.909 * [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)) 10.909 * [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 10.909 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.909 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.909 * [taylor]: Taking taylor expansion of 1/4 in J 10.909 * [backup-simplify]: Simplify 1/4 into 1/4 10.909 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.909 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.909 * [taylor]: Taking taylor expansion of U in J 10.909 * [backup-simplify]: Simplify U into U 10.909 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.909 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.909 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.909 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.909 * [taylor]: Taking taylor expansion of 1/2 in J 10.909 * [backup-simplify]: Simplify 1/2 into 1/2 10.909 * [taylor]: Taking taylor expansion of K in J 10.909 * [backup-simplify]: Simplify K into K 10.909 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.909 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.909 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.909 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.909 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.910 * [backup-simplify]: Simplify (- 0) into 0 10.910 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.910 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.910 * [taylor]: Taking taylor expansion of J in J 10.910 * [backup-simplify]: Simplify 0 into 0 10.910 * [backup-simplify]: Simplify 1 into 1 10.910 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.910 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.910 * [backup-simplify]: Simplify (* 1 1) into 1 10.910 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.910 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.910 * [taylor]: Taking taylor expansion of 1 in J 10.910 * [backup-simplify]: Simplify 1 into 1 10.910 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.911 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.911 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.911 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.911 * [backup-simplify]: Simplify (+ 0) into 0 10.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.913 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.913 * [backup-simplify]: Simplify (- 0) into 0 10.913 * [backup-simplify]: Simplify (+ 0 0) into 0 10.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.914 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.914 * [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 10.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 10.915 * [backup-simplify]: Simplify (+ 0 0) into 0 10.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.915 * [taylor]: Taking taylor expansion of 1/4 in K 10.915 * [backup-simplify]: Simplify 1/4 into 1/4 10.915 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.915 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.915 * [taylor]: Taking taylor expansion of U in K 10.915 * [backup-simplify]: Simplify U into U 10.915 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.915 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.915 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.915 * [taylor]: Taking taylor expansion of 1/2 in K 10.915 * [backup-simplify]: Simplify 1/2 into 1/2 10.915 * [taylor]: Taking taylor expansion of K in K 10.915 * [backup-simplify]: Simplify 0 into 0 10.915 * [backup-simplify]: Simplify 1 into 1 10.915 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.916 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.916 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.916 * [taylor]: Taking taylor expansion of J in K 10.916 * [backup-simplify]: Simplify J into J 10.916 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.916 * [backup-simplify]: Simplify (* 1 1) into 1 10.916 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.916 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.916 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.916 * [taylor]: Taking taylor expansion of 1 in K 10.916 * [backup-simplify]: Simplify 1 into 1 10.916 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.917 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.917 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.917 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.917 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.917 * [backup-simplify]: Simplify (+ 0) into 0 10.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 10.918 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 10.918 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 10.919 * [backup-simplify]: Simplify (+ 0 0) into 0 10.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.919 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.919 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.919 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.919 * [taylor]: Taking taylor expansion of 1/4 in U 10.919 * [backup-simplify]: Simplify 1/4 into 1/4 10.919 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.919 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.919 * [taylor]: Taking taylor expansion of U in U 10.919 * [backup-simplify]: Simplify 0 into 0 10.919 * [backup-simplify]: Simplify 1 into 1 10.919 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.919 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.919 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.919 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.919 * [taylor]: Taking taylor expansion of 1/2 in U 10.919 * [backup-simplify]: Simplify 1/2 into 1/2 10.919 * [taylor]: Taking taylor expansion of K in U 10.919 * [backup-simplify]: Simplify K into K 10.919 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.919 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.919 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.919 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.919 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.920 * [backup-simplify]: Simplify (- 0) into 0 10.920 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.920 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.920 * [taylor]: Taking taylor expansion of J in U 10.920 * [backup-simplify]: Simplify J into J 10.920 * [backup-simplify]: Simplify (* 1 1) into 1 10.920 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.920 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.920 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.920 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.920 * [taylor]: Taking taylor expansion of 1 in U 10.920 * [backup-simplify]: Simplify 1 into 1 10.921 * [backup-simplify]: Simplify (+ 0 1) into 1 10.921 * [backup-simplify]: Simplify (sqrt 1) into 1 10.921 * [backup-simplify]: Simplify (+ 0 0) into 0 10.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.922 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.922 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.922 * [taylor]: Taking taylor expansion of 1/4 in U 10.922 * [backup-simplify]: Simplify 1/4 into 1/4 10.922 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.922 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.922 * [taylor]: Taking taylor expansion of U in U 10.922 * [backup-simplify]: Simplify 0 into 0 10.922 * [backup-simplify]: Simplify 1 into 1 10.922 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.922 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.922 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.922 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.922 * [taylor]: Taking taylor expansion of 1/2 in U 10.922 * [backup-simplify]: Simplify 1/2 into 1/2 10.922 * [taylor]: Taking taylor expansion of K in U 10.922 * [backup-simplify]: Simplify K into K 10.923 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.923 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.923 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.923 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.923 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.923 * [backup-simplify]: Simplify (- 0) into 0 10.923 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.923 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.923 * [taylor]: Taking taylor expansion of J in U 10.923 * [backup-simplify]: Simplify J into J 10.924 * [backup-simplify]: Simplify (* 1 1) into 1 10.924 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.924 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.924 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.924 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.924 * [taylor]: Taking taylor expansion of 1 in U 10.924 * [backup-simplify]: Simplify 1 into 1 10.925 * [backup-simplify]: Simplify (+ 0 1) into 1 10.925 * [backup-simplify]: Simplify (sqrt 1) into 1 10.926 * [backup-simplify]: Simplify (+ 0 0) into 0 10.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.926 * [taylor]: Taking taylor expansion of 1 in K 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [taylor]: Taking taylor expansion of 1 in J 10.926 * [backup-simplify]: Simplify 1 into 1 10.927 * [taylor]: Taking taylor expansion of 0 in K 10.927 * [backup-simplify]: Simplify 0 into 0 10.927 * [taylor]: Taking taylor expansion of 0 in J 10.927 * [backup-simplify]: Simplify 0 into 0 10.927 * [taylor]: Taking taylor expansion of 0 in J 10.927 * [backup-simplify]: Simplify 0 into 0 10.927 * [backup-simplify]: Simplify 1 into 1 10.927 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.927 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.929 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.929 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.929 * [taylor]: Taking taylor expansion of 1/8 in K 10.929 * [backup-simplify]: Simplify 1/8 into 1/8 10.929 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.929 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.929 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.929 * [taylor]: Taking taylor expansion of 1/2 in K 10.929 * [backup-simplify]: Simplify 1/2 into 1/2 10.929 * [taylor]: Taking taylor expansion of K in K 10.929 * [backup-simplify]: Simplify 0 into 0 10.929 * [backup-simplify]: Simplify 1 into 1 10.930 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.930 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.930 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.930 * [taylor]: Taking taylor expansion of J in K 10.930 * [backup-simplify]: Simplify J into J 10.931 * [backup-simplify]: Simplify (* 1 1) into 1 10.931 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.931 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.931 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 10.931 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 10.931 * [taylor]: Taking taylor expansion of 1/8 in J 10.931 * [backup-simplify]: Simplify 1/8 into 1/8 10.931 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.931 * [taylor]: Taking taylor expansion of J in J 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.932 * [backup-simplify]: Simplify (* 1 1) into 1 10.932 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 10.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 10.934 * [backup-simplify]: Simplify 0 into 0 10.934 * [taylor]: Taking taylor expansion of 0 in J 10.934 * [backup-simplify]: Simplify 0 into 0 10.934 * [taylor]: Taking taylor expansion of 0 in J 10.934 * [backup-simplify]: Simplify 0 into 0 10.934 * [backup-simplify]: Simplify 0 into 0 10.934 * [backup-simplify]: Simplify 0 into 0 10.934 * [backup-simplify]: Simplify 0 into 0 10.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.935 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.935 * [backup-simplify]: Simplify (+ 0) into 0 10.936 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.937 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.938 * [backup-simplify]: Simplify (- 0) into 0 10.938 * [backup-simplify]: Simplify (+ 0 0) into 0 10.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.938 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 10.939 * [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 10.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 10.940 * [backup-simplify]: Simplify (+ 0 0) into 0 10.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.941 * [taylor]: Taking taylor expansion of 0 in K 10.941 * [backup-simplify]: Simplify 0 into 0 10.941 * [taylor]: Taking taylor expansion of 0 in J 10.941 * [backup-simplify]: Simplify 0 into 0 10.941 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.941 * [backup-simplify]: Simplify (+ 0) into 0 10.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 10.943 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 10.943 * [taylor]: Taking taylor expansion of 0 in J 10.943 * [backup-simplify]: Simplify 0 into 0 10.943 * [taylor]: Taking taylor expansion of 0 in J 10.943 * [backup-simplify]: Simplify 0 into 0 10.943 * [taylor]: Taking taylor expansion of 0 in J 10.943 * [backup-simplify]: Simplify 0 into 0 10.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.945 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify 1 into 1 10.946 * [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)) 10.946 * [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 10.946 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.946 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.946 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.946 * [taylor]: Taking taylor expansion of 1/4 in J 10.946 * [backup-simplify]: Simplify 1/4 into 1/4 10.946 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.946 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.946 * [taylor]: Taking taylor expansion of J in J 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 1 into 1 10.946 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.946 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.946 * [taylor]: Taking taylor expansion of U in J 10.946 * [backup-simplify]: Simplify U into U 10.946 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.946 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.946 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.946 * [taylor]: Taking taylor expansion of 1/2 in J 10.946 * [backup-simplify]: Simplify 1/2 into 1/2 10.946 * [taylor]: Taking taylor expansion of K in J 10.946 * [backup-simplify]: Simplify K into K 10.946 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.946 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.946 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.947 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.947 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.947 * [backup-simplify]: Simplify (- 0) into 0 10.947 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.948 * [backup-simplify]: Simplify (* 1 1) into 1 10.948 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.948 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.948 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.948 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.948 * [taylor]: Taking taylor expansion of 1 in J 10.948 * [backup-simplify]: Simplify 1 into 1 10.949 * [backup-simplify]: Simplify (+ 0 1) into 1 10.949 * [backup-simplify]: Simplify (sqrt 1) into 1 10.949 * [backup-simplify]: Simplify (+ 0 0) into 0 10.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.950 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.950 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.950 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.950 * [taylor]: Taking taylor expansion of 1/4 in K 10.950 * [backup-simplify]: Simplify 1/4 into 1/4 10.950 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.950 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.950 * [taylor]: Taking taylor expansion of J in K 10.950 * [backup-simplify]: Simplify J into J 10.950 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.950 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.950 * [taylor]: Taking taylor expansion of U in K 10.951 * [backup-simplify]: Simplify U into U 10.951 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.951 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.951 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.951 * [taylor]: Taking taylor expansion of 1/2 in K 10.951 * [backup-simplify]: Simplify 1/2 into 1/2 10.951 * [taylor]: Taking taylor expansion of K in K 10.951 * [backup-simplify]: Simplify 0 into 0 10.951 * [backup-simplify]: Simplify 1 into 1 10.951 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.951 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.951 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.951 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.952 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.952 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.952 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.952 * [taylor]: Taking taylor expansion of 1 in K 10.952 * [backup-simplify]: Simplify 1 into 1 10.953 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.953 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.953 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.953 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.954 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.954 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.955 * [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 10.955 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.956 * [backup-simplify]: Simplify (+ 0 0) into 0 10.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.956 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.956 * [taylor]: Taking taylor expansion of 1/4 in U 10.957 * [backup-simplify]: Simplify 1/4 into 1/4 10.957 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.957 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.957 * [taylor]: Taking taylor expansion of J in U 10.957 * [backup-simplify]: Simplify J into J 10.957 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.957 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.957 * [taylor]: Taking taylor expansion of U in U 10.957 * [backup-simplify]: Simplify 0 into 0 10.957 * [backup-simplify]: Simplify 1 into 1 10.957 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.957 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.957 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.957 * [taylor]: Taking taylor expansion of 1/2 in U 10.957 * [backup-simplify]: Simplify 1/2 into 1/2 10.957 * [taylor]: Taking taylor expansion of K in U 10.957 * [backup-simplify]: Simplify K into K 10.957 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.957 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.957 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.957 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.957 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.958 * [backup-simplify]: Simplify (- 0) into 0 10.958 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.958 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.958 * [backup-simplify]: Simplify (* 1 1) into 1 10.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.959 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.959 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.959 * [taylor]: Taking taylor expansion of 1 in U 10.959 * [backup-simplify]: Simplify 1 into 1 10.959 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.959 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.960 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.960 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.960 * [backup-simplify]: Simplify (+ 0) into 0 10.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.963 * [backup-simplify]: Simplify (- 0) into 0 10.963 * [backup-simplify]: Simplify (+ 0 0) into 0 10.963 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.965 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.966 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.966 * [backup-simplify]: Simplify (+ 0 0) into 0 10.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.966 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.966 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.966 * [taylor]: Taking taylor expansion of 1/4 in U 10.966 * [backup-simplify]: Simplify 1/4 into 1/4 10.966 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.966 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.966 * [taylor]: Taking taylor expansion of J in U 10.966 * [backup-simplify]: Simplify J into J 10.966 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.967 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.967 * [taylor]: Taking taylor expansion of U in U 10.967 * [backup-simplify]: Simplify 0 into 0 10.967 * [backup-simplify]: Simplify 1 into 1 10.967 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.967 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.967 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.967 * [taylor]: Taking taylor expansion of 1/2 in U 10.967 * [backup-simplify]: Simplify 1/2 into 1/2 10.967 * [taylor]: Taking taylor expansion of K in U 10.967 * [backup-simplify]: Simplify K into K 10.967 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.967 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.967 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.967 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.967 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.968 * [backup-simplify]: Simplify (- 0) into 0 10.968 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.968 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.968 * [backup-simplify]: Simplify (* 1 1) into 1 10.968 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.968 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.969 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.969 * [taylor]: Taking taylor expansion of 1 in U 10.969 * [backup-simplify]: Simplify 1 into 1 10.969 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.969 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.969 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.974 * [backup-simplify]: Simplify (+ 0) into 0 10.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.977 * [backup-simplify]: Simplify (- 0) into 0 10.977 * [backup-simplify]: Simplify (+ 0 0) into 0 10.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.979 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.980 * [backup-simplify]: Simplify (+ 0 0) into 0 10.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 10.981 * [taylor]: Taking taylor expansion of 1/2 in K 10.981 * [backup-simplify]: Simplify 1/2 into 1/2 10.981 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 10.981 * [taylor]: Taking taylor expansion of J in K 10.981 * [backup-simplify]: Simplify J into J 10.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.981 * [taylor]: Taking taylor expansion of 1/2 in K 10.981 * [backup-simplify]: Simplify 1/2 into 1/2 10.981 * [taylor]: Taking taylor expansion of K in K 10.981 * [backup-simplify]: Simplify 0 into 0 10.981 * [backup-simplify]: Simplify 1 into 1 10.981 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.982 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.982 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.982 * [taylor]: Taking taylor expansion of 1/2 in J 10.982 * [backup-simplify]: Simplify 1/2 into 1/2 10.982 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.982 * [taylor]: Taking taylor expansion of J in J 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.982 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.982 * [taylor]: Taking taylor expansion of 1/2 in J 10.982 * [backup-simplify]: Simplify 1/2 into 1/2 10.982 * [taylor]: Taking taylor expansion of K in J 10.982 * [backup-simplify]: Simplify K into K 10.982 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.982 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.982 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.982 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.983 * [backup-simplify]: Simplify (- 0) into 0 10.983 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.983 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.983 * [taylor]: Taking taylor expansion of 0 in K 10.983 * [backup-simplify]: Simplify 0 into 0 10.983 * [taylor]: Taking taylor expansion of 0 in J 10.983 * [backup-simplify]: Simplify 0 into 0 10.983 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.985 * [taylor]: Taking taylor expansion of 0 in J 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.985 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.985 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.989 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.989 * [backup-simplify]: Simplify (- 0) into 0 10.989 * [backup-simplify]: Simplify (+ 0 0) into 0 10.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.992 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.993 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.994 * [backup-simplify]: Simplify (+ 0 1) into 1 10.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.994 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.994 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.995 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.995 * [taylor]: Taking taylor expansion of 1/2 in K 10.995 * [backup-simplify]: Simplify 1/2 into 1/2 10.995 * [taylor]: Taking taylor expansion of K in K 10.995 * [backup-simplify]: Simplify 0 into 0 10.995 * [backup-simplify]: Simplify 1 into 1 10.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.995 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.995 * [taylor]: Taking taylor expansion of J in K 10.995 * [backup-simplify]: Simplify J into J 10.995 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.995 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.995 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.995 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.995 * [taylor]: Taking taylor expansion of 1/2 in J 10.995 * [backup-simplify]: Simplify 1/2 into 1/2 10.996 * [taylor]: Taking taylor expansion of K in J 10.996 * [backup-simplify]: Simplify K into K 10.996 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.996 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.996 * [taylor]: Taking taylor expansion of J in J 10.996 * [backup-simplify]: Simplify 0 into 0 10.996 * [backup-simplify]: Simplify 1 into 1 10.996 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.996 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.996 * [backup-simplify]: Simplify (- 0) into 0 10.996 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.997 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.997 * [backup-simplify]: Simplify (+ 0) into 0 10.998 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.998 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.999 * [backup-simplify]: Simplify (- 0) into 0 11.000 * [backup-simplify]: Simplify (+ 0 0) into 0 11.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 11.001 * [backup-simplify]: Simplify 0 into 0 11.001 * [taylor]: Taking taylor expansion of 0 in J 11.001 * [backup-simplify]: Simplify 0 into 0 11.001 * [backup-simplify]: Simplify 0 into 0 11.001 * [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 11.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 11.002 * [taylor]: Taking taylor expansion of 0 in J 11.002 * [backup-simplify]: Simplify 0 into 0 11.002 * [backup-simplify]: Simplify 0 into 0 11.002 * [backup-simplify]: Simplify 0 into 0 11.002 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify (+ 0) into 0 11.003 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.003 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.004 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.005 * [backup-simplify]: Simplify (- 0) into 0 11.005 * [backup-simplify]: Simplify (+ 0 0) into 0 11.005 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 11.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 11.006 * [backup-simplify]: Simplify 0 into 0 11.006 * [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))) 11.007 * [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)))))) 11.007 * [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 11.007 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.007 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.007 * [taylor]: Taking taylor expansion of 1 in J 11.007 * [backup-simplify]: Simplify 1 into 1 11.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.007 * [taylor]: Taking taylor expansion of 1/4 in J 11.007 * [backup-simplify]: Simplify 1/4 into 1/4 11.007 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.007 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.007 * [taylor]: Taking taylor expansion of J in J 11.007 * [backup-simplify]: Simplify 0 into 0 11.007 * [backup-simplify]: Simplify 1 into 1 11.007 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.007 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.007 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.007 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.007 * [taylor]: Taking taylor expansion of -1/2 in J 11.007 * [backup-simplify]: Simplify -1/2 into -1/2 11.007 * [taylor]: Taking taylor expansion of K in J 11.007 * [backup-simplify]: Simplify K into K 11.008 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.008 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.008 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.008 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.008 * [backup-simplify]: Simplify (- 0) into 0 11.008 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.009 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.009 * [taylor]: Taking taylor expansion of U in J 11.009 * [backup-simplify]: Simplify U into U 11.009 * [backup-simplify]: Simplify (* 1 1) into 1 11.009 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.009 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.009 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.010 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.010 * [backup-simplify]: Simplify (+ 1 0) into 1 11.010 * [backup-simplify]: Simplify (sqrt 1) into 1 11.011 * [backup-simplify]: Simplify (+ 0 0) into 0 11.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.012 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.012 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.012 * [taylor]: Taking taylor expansion of 1 in K 11.012 * [backup-simplify]: Simplify 1 into 1 11.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.012 * [taylor]: Taking taylor expansion of 1/4 in K 11.012 * [backup-simplify]: Simplify 1/4 into 1/4 11.012 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.012 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.012 * [taylor]: Taking taylor expansion of J in K 11.012 * [backup-simplify]: Simplify J into J 11.012 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.012 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.012 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.012 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.012 * [taylor]: Taking taylor expansion of -1/2 in K 11.012 * [backup-simplify]: Simplify -1/2 into -1/2 11.012 * [taylor]: Taking taylor expansion of K in K 11.012 * [backup-simplify]: Simplify 0 into 0 11.012 * [backup-simplify]: Simplify 1 into 1 11.013 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.013 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.013 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.013 * [taylor]: Taking taylor expansion of U in K 11.013 * [backup-simplify]: Simplify U into U 11.013 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.013 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.013 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.013 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.013 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.014 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.014 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.014 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.014 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.015 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 11.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.015 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 11.015 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 11.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 11.017 * [backup-simplify]: Simplify (+ 0 0) into 0 11.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 11.017 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.017 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.017 * [taylor]: Taking taylor expansion of 1 in U 11.017 * [backup-simplify]: Simplify 1 into 1 11.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.017 * [taylor]: Taking taylor expansion of 1/4 in U 11.017 * [backup-simplify]: Simplify 1/4 into 1/4 11.017 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.018 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.018 * [taylor]: Taking taylor expansion of J in U 11.018 * [backup-simplify]: Simplify J into J 11.018 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.018 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.018 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.018 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.018 * [taylor]: Taking taylor expansion of -1/2 in U 11.018 * [backup-simplify]: Simplify -1/2 into -1/2 11.018 * [taylor]: Taking taylor expansion of K in U 11.018 * [backup-simplify]: Simplify K into K 11.018 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.018 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.018 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.018 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.019 * [backup-simplify]: Simplify (- 0) into 0 11.019 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.019 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.019 * [taylor]: Taking taylor expansion of U in U 11.019 * [backup-simplify]: Simplify 0 into 0 11.019 * [backup-simplify]: Simplify 1 into 1 11.019 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.019 * [backup-simplify]: Simplify (* 1 1) into 1 11.019 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.020 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.020 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.020 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.020 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.020 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.022 * [backup-simplify]: Simplify (+ 0) into 0 11.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.024 * [backup-simplify]: Simplify (- 0) into 0 11.025 * [backup-simplify]: Simplify (+ 0 0) into 0 11.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.025 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.025 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.026 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.026 * [backup-simplify]: Simplify (+ 0 0) into 0 11.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.026 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.026 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.026 * [taylor]: Taking taylor expansion of 1 in U 11.026 * [backup-simplify]: Simplify 1 into 1 11.026 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.026 * [taylor]: Taking taylor expansion of 1/4 in U 11.026 * [backup-simplify]: Simplify 1/4 into 1/4 11.026 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.026 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.026 * [taylor]: Taking taylor expansion of J in U 11.026 * [backup-simplify]: Simplify J into J 11.026 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.026 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.026 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.026 * [taylor]: Taking taylor expansion of -1/2 in U 11.026 * [backup-simplify]: Simplify -1/2 into -1/2 11.026 * [taylor]: Taking taylor expansion of K in U 11.026 * [backup-simplify]: Simplify K into K 11.027 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.027 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.027 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.027 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.027 * [backup-simplify]: Simplify (- 0) into 0 11.027 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.027 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.027 * [taylor]: Taking taylor expansion of U in U 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 1 into 1 11.027 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.028 * [backup-simplify]: Simplify (* 1 1) into 1 11.028 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.028 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.028 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.028 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.028 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.028 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.029 * [backup-simplify]: Simplify (+ 0) into 0 11.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.031 * [backup-simplify]: Simplify (- 0) into 0 11.031 * [backup-simplify]: Simplify (+ 0 0) into 0 11.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.031 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.032 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.032 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.032 * [backup-simplify]: Simplify (+ 0 0) into 0 11.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 11.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 11.033 * [taylor]: Taking taylor expansion of 1/2 in K 11.033 * [backup-simplify]: Simplify 1/2 into 1/2 11.033 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 11.033 * [taylor]: Taking taylor expansion of J in K 11.033 * [backup-simplify]: Simplify J into J 11.033 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.033 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.033 * [taylor]: Taking taylor expansion of -1/2 in K 11.033 * [backup-simplify]: Simplify -1/2 into -1/2 11.033 * [taylor]: Taking taylor expansion of K in K 11.033 * [backup-simplify]: Simplify 0 into 0 11.033 * [backup-simplify]: Simplify 1 into 1 11.033 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.033 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.033 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 11.033 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 11.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 11.033 * [taylor]: Taking taylor expansion of 1/2 in J 11.033 * [backup-simplify]: Simplify 1/2 into 1/2 11.033 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 11.033 * [taylor]: Taking taylor expansion of J in J 11.033 * [backup-simplify]: Simplify 0 into 0 11.033 * [backup-simplify]: Simplify 1 into 1 11.033 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.033 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.033 * [taylor]: Taking taylor expansion of -1/2 in J 11.033 * [backup-simplify]: Simplify -1/2 into -1/2 11.033 * [taylor]: Taking taylor expansion of K in J 11.033 * [backup-simplify]: Simplify K into K 11.033 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.033 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.033 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.034 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.034 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.034 * [backup-simplify]: Simplify (- 0) into 0 11.034 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.034 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 11.034 * [taylor]: Taking taylor expansion of 0 in K 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [taylor]: Taking taylor expansion of 0 in J 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 11.035 * [taylor]: Taking taylor expansion of 0 in J 11.035 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 11.035 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 11.035 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.038 * [backup-simplify]: Simplify (- 0) into 0 11.038 * [backup-simplify]: Simplify (+ 0 0) into 0 11.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.039 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.039 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.040 * [backup-simplify]: Simplify (+ 1 0) into 1 11.041 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 11.041 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 11.041 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.041 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.041 * [taylor]: Taking taylor expansion of -1/2 in K 11.041 * [backup-simplify]: Simplify -1/2 into -1/2 11.041 * [taylor]: Taking taylor expansion of K in K 11.041 * [backup-simplify]: Simplify 0 into 0 11.041 * [backup-simplify]: Simplify 1 into 1 11.041 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.041 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.041 * [taylor]: Taking taylor expansion of J in K 11.041 * [backup-simplify]: Simplify J into J 11.041 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 11.041 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 11.041 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.041 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.041 * [taylor]: Taking taylor expansion of -1/2 in J 11.041 * [backup-simplify]: Simplify -1/2 into -1/2 11.041 * [taylor]: Taking taylor expansion of K in J 11.041 * [backup-simplify]: Simplify K into K 11.041 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.041 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.041 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.041 * [taylor]: Taking taylor expansion of J in J 11.041 * [backup-simplify]: Simplify 0 into 0 11.041 * [backup-simplify]: Simplify 1 into 1 11.041 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.041 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.042 * [backup-simplify]: Simplify (- 0) into 0 11.042 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.042 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.042 * [backup-simplify]: Simplify (+ 0) into 0 11.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.042 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.043 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.043 * [backup-simplify]: Simplify (- 0) into 0 11.044 * [backup-simplify]: Simplify (+ 0 0) into 0 11.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 11.044 * [backup-simplify]: Simplify 0 into 0 11.044 * [taylor]: Taking taylor expansion of 0 in J 11.044 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify 0 into 0 11.045 * [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 11.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 11.045 * [taylor]: Taking taylor expansion of 0 in J 11.045 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify 0 into 0 11.046 * [backup-simplify]: Simplify (+ 0) into 0 11.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.046 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.047 * [backup-simplify]: Simplify (- 0) into 0 11.047 * [backup-simplify]: Simplify (+ 0 0) into 0 11.047 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 11.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [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))) 11.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 11.048 * [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) 11.048 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 11.048 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 11.048 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.048 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.048 * [taylor]: Taking taylor expansion of 1/4 in J 11.048 * [backup-simplify]: Simplify 1/4 into 1/4 11.048 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.048 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.048 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.048 * [taylor]: Taking taylor expansion of 1/4 in J 11.048 * [backup-simplify]: Simplify 1/4 into 1/4 11.048 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.048 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.048 * [taylor]: Taking taylor expansion of U in J 11.048 * [backup-simplify]: Simplify U into U 11.048 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.048 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.048 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.048 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.048 * [taylor]: Taking taylor expansion of 1/2 in J 11.049 * [backup-simplify]: Simplify 1/2 into 1/2 11.049 * [taylor]: Taking taylor expansion of K in J 11.049 * [backup-simplify]: Simplify K into K 11.049 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.049 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.049 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.049 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.049 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.049 * [backup-simplify]: Simplify (- 0) into 0 11.049 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.049 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.049 * [taylor]: Taking taylor expansion of J in J 11.049 * [backup-simplify]: Simplify 0 into 0 11.049 * [backup-simplify]: Simplify 1 into 1 11.049 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.049 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.050 * [backup-simplify]: Simplify (* 1 1) into 1 11.050 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.050 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.050 * [taylor]: Taking taylor expansion of 1 in J 11.050 * [backup-simplify]: Simplify 1 into 1 11.050 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.050 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.050 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.051 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.051 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.051 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.051 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 11.051 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.051 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.051 * [taylor]: Taking taylor expansion of 1/4 in K 11.051 * [backup-simplify]: Simplify 1/4 into 1/4 11.051 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.051 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.051 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.051 * [taylor]: Taking taylor expansion of 1/4 in K 11.051 * [backup-simplify]: Simplify 1/4 into 1/4 11.051 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.051 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.051 * [taylor]: Taking taylor expansion of U in K 11.051 * [backup-simplify]: Simplify U into U 11.051 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.051 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.051 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.051 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.051 * [taylor]: Taking taylor expansion of 1/2 in K 11.051 * [backup-simplify]: Simplify 1/2 into 1/2 11.051 * [taylor]: Taking taylor expansion of K in K 11.051 * [backup-simplify]: Simplify 0 into 0 11.051 * [backup-simplify]: Simplify 1 into 1 11.052 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.052 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.052 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.052 * [taylor]: Taking taylor expansion of J in K 11.052 * [backup-simplify]: Simplify J into J 11.052 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.052 * [backup-simplify]: Simplify (* 1 1) into 1 11.053 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.053 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.053 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.053 * [taylor]: Taking taylor expansion of 1 in K 11.053 * [backup-simplify]: Simplify 1 into 1 11.053 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.053 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.053 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.053 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.053 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 11.053 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.053 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.053 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.053 * [taylor]: Taking taylor expansion of 1/4 in U 11.053 * [backup-simplify]: Simplify 1/4 into 1/4 11.053 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.053 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.053 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.054 * [taylor]: Taking taylor expansion of 1/4 in U 11.054 * [backup-simplify]: Simplify 1/4 into 1/4 11.054 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.054 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.054 * [taylor]: Taking taylor expansion of U in U 11.054 * [backup-simplify]: Simplify 0 into 0 11.054 * [backup-simplify]: Simplify 1 into 1 11.054 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.054 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.054 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.054 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.054 * [taylor]: Taking taylor expansion of 1/2 in U 11.054 * [backup-simplify]: Simplify 1/2 into 1/2 11.054 * [taylor]: Taking taylor expansion of K in U 11.054 * [backup-simplify]: Simplify K into K 11.054 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.054 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.054 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.054 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.054 * [backup-simplify]: Simplify (- 0) into 0 11.054 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.054 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.054 * [taylor]: Taking taylor expansion of J in U 11.054 * [backup-simplify]: Simplify J into J 11.055 * [backup-simplify]: Simplify (* 1 1) into 1 11.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.055 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.055 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.055 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.055 * [taylor]: Taking taylor expansion of 1 in U 11.055 * [backup-simplify]: Simplify 1 into 1 11.055 * [backup-simplify]: Simplify (+ 0 1) into 1 11.055 * [backup-simplify]: Simplify (log 1) into 0 11.056 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.056 * [backup-simplify]: Simplify (+ 0 0) into 0 11.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.057 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.057 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.059 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.059 * [backup-simplify]: Simplify (exp 0) into 1 11.059 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.059 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.059 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.059 * [taylor]: Taking taylor expansion of 1/4 in U 11.059 * [backup-simplify]: Simplify 1/4 into 1/4 11.059 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.059 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.059 * [taylor]: Taking taylor expansion of 1/4 in U 11.059 * [backup-simplify]: Simplify 1/4 into 1/4 11.059 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.059 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.059 * [taylor]: Taking taylor expansion of U in U 11.059 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 1 into 1 11.060 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.060 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.060 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.060 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.060 * [taylor]: Taking taylor expansion of 1/2 in U 11.060 * [backup-simplify]: Simplify 1/2 into 1/2 11.060 * [taylor]: Taking taylor expansion of K in U 11.060 * [backup-simplify]: Simplify K into K 11.060 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.060 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.060 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.060 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.060 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.060 * [backup-simplify]: Simplify (- 0) into 0 11.060 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.060 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.060 * [taylor]: Taking taylor expansion of J in U 11.060 * [backup-simplify]: Simplify J into J 11.060 * [backup-simplify]: Simplify (* 1 1) into 1 11.061 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.061 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.061 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.061 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.061 * [taylor]: Taking taylor expansion of 1 in U 11.061 * [backup-simplify]: Simplify 1 into 1 11.061 * [backup-simplify]: Simplify (+ 0 1) into 1 11.061 * [backup-simplify]: Simplify (log 1) into 0 11.062 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.062 * [backup-simplify]: Simplify (+ 0 0) into 0 11.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.063 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.063 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.063 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.065 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.065 * [backup-simplify]: Simplify (exp 0) into 1 11.065 * [taylor]: Taking taylor expansion of 1 in K 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [taylor]: Taking taylor expansion of 1 in J 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [backup-simplify]: Simplify 1 into 1 11.066 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.066 * [taylor]: Taking taylor expansion of 0 in K 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [taylor]: Taking taylor expansion of 0 in J 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [taylor]: Taking taylor expansion of 0 in J 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.067 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.067 * [taylor]: Taking taylor expansion of 1/16 in K 11.067 * [backup-simplify]: Simplify 1/16 into 1/16 11.067 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.067 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.067 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.067 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.067 * [taylor]: Taking taylor expansion of 1/2 in K 11.067 * [backup-simplify]: Simplify 1/2 into 1/2 11.067 * [taylor]: Taking taylor expansion of K in K 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify 1 into 1 11.067 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.068 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.068 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.068 * [taylor]: Taking taylor expansion of J in K 11.068 * [backup-simplify]: Simplify J into J 11.068 * [backup-simplify]: Simplify (* 1 1) into 1 11.068 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.068 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.068 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 11.068 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 11.068 * [taylor]: Taking taylor expansion of 1/16 in J 11.068 * [backup-simplify]: Simplify 1/16 into 1/16 11.068 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.068 * [taylor]: Taking taylor expansion of J in J 11.068 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify 1 into 1 11.069 * [backup-simplify]: Simplify (* 1 1) into 1 11.069 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 11.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 11.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [taylor]: Taking taylor expansion of 0 in J 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [taylor]: Taking taylor expansion of 0 in J 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify 1 into 1 11.071 * [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) 11.071 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 11.071 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 11.071 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.071 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.071 * [taylor]: Taking taylor expansion of 1/4 in J 11.072 * [backup-simplify]: Simplify 1/4 into 1/4 11.072 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.072 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.072 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.072 * [taylor]: Taking taylor expansion of 1/4 in J 11.072 * [backup-simplify]: Simplify 1/4 into 1/4 11.072 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.072 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.072 * [taylor]: Taking taylor expansion of J in J 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify 1 into 1 11.072 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.072 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.072 * [taylor]: Taking taylor expansion of U in J 11.072 * [backup-simplify]: Simplify U into U 11.072 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.072 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.072 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.072 * [taylor]: Taking taylor expansion of 1/2 in J 11.072 * [backup-simplify]: Simplify 1/2 into 1/2 11.072 * [taylor]: Taking taylor expansion of K in J 11.072 * [backup-simplify]: Simplify K into K 11.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.072 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.072 * [backup-simplify]: Simplify (- 0) into 0 11.072 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.073 * [backup-simplify]: Simplify (* 1 1) into 1 11.073 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.073 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.073 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.074 * [taylor]: Taking taylor expansion of 1 in J 11.074 * [backup-simplify]: Simplify 1 into 1 11.074 * [backup-simplify]: Simplify (+ 0 1) into 1 11.074 * [backup-simplify]: Simplify (log 1) into 0 11.075 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.075 * [backup-simplify]: Simplify (+ 0 0) into 0 11.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.077 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.078 * [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)))) 11.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.081 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.081 * [backup-simplify]: Simplify (exp 0) into 1 11.081 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 11.081 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.081 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.081 * [taylor]: Taking taylor expansion of 1/4 in K 11.081 * [backup-simplify]: Simplify 1/4 into 1/4 11.081 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.081 * [taylor]: Taking taylor expansion of 1/4 in K 11.081 * [backup-simplify]: Simplify 1/4 into 1/4 11.081 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.081 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.081 * [taylor]: Taking taylor expansion of J in K 11.081 * [backup-simplify]: Simplify J into J 11.082 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.082 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.082 * [taylor]: Taking taylor expansion of U in K 11.082 * [backup-simplify]: Simplify U into U 11.082 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.082 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.082 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.082 * [taylor]: Taking taylor expansion of 1/2 in K 11.082 * [backup-simplify]: Simplify 1/2 into 1/2 11.082 * [taylor]: Taking taylor expansion of K in K 11.082 * [backup-simplify]: Simplify 0 into 0 11.082 * [backup-simplify]: Simplify 1 into 1 11.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.082 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.082 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.083 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.083 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.083 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.083 * [taylor]: Taking taylor expansion of 1 in K 11.083 * [backup-simplify]: Simplify 1 into 1 11.083 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.084 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.084 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.085 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.085 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.085 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.085 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.085 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.085 * [taylor]: Taking taylor expansion of 1/4 in U 11.085 * [backup-simplify]: Simplify 1/4 into 1/4 11.085 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.085 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.085 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.085 * [taylor]: Taking taylor expansion of 1/4 in U 11.085 * [backup-simplify]: Simplify 1/4 into 1/4 11.085 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.085 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.085 * [taylor]: Taking taylor expansion of J in U 11.085 * [backup-simplify]: Simplify J into J 11.085 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.085 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.085 * [taylor]: Taking taylor expansion of U in U 11.085 * [backup-simplify]: Simplify 0 into 0 11.085 * [backup-simplify]: Simplify 1 into 1 11.085 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.086 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.086 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.086 * [taylor]: Taking taylor expansion of 1/2 in U 11.086 * [backup-simplify]: Simplify 1/2 into 1/2 11.086 * [taylor]: Taking taylor expansion of K in U 11.086 * [backup-simplify]: Simplify K into K 11.086 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.086 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.086 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.086 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.087 * [backup-simplify]: Simplify (- 0) into 0 11.087 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.087 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.087 * [backup-simplify]: Simplify (* 1 1) into 1 11.087 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.087 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.088 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.088 * [taylor]: Taking taylor expansion of 1 in U 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.088 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.088 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.089 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.089 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.090 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.090 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.090 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.090 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.090 * [taylor]: Taking taylor expansion of 1/4 in U 11.090 * [backup-simplify]: Simplify 1/4 into 1/4 11.090 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.090 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.090 * [taylor]: Taking taylor expansion of 1/4 in U 11.090 * [backup-simplify]: Simplify 1/4 into 1/4 11.090 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.090 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.090 * [taylor]: Taking taylor expansion of J in U 11.090 * [backup-simplify]: Simplify J into J 11.090 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.090 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.090 * [taylor]: Taking taylor expansion of U in U 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.090 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.090 * [taylor]: Taking taylor expansion of 1/2 in U 11.090 * [backup-simplify]: Simplify 1/2 into 1/2 11.090 * [taylor]: Taking taylor expansion of K in U 11.090 * [backup-simplify]: Simplify K into K 11.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.091 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.091 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.091 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.091 * [backup-simplify]: Simplify (- 0) into 0 11.091 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.091 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.092 * [backup-simplify]: Simplify (* 1 1) into 1 11.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.092 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.092 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.092 * [taylor]: Taking taylor expansion of 1 in U 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.093 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.093 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.094 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.094 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.094 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.094 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.094 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.095 * [taylor]: Taking taylor expansion of 1/4 in K 11.095 * [backup-simplify]: Simplify 1/4 into 1/4 11.095 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.095 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 11.095 * [taylor]: Taking taylor expansion of 1/4 in K 11.095 * [backup-simplify]: Simplify 1/4 into 1/4 11.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 11.095 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.095 * [taylor]: Taking taylor expansion of J in K 11.095 * [backup-simplify]: Simplify J into J 11.095 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.095 * [taylor]: Taking taylor expansion of 1/2 in K 11.095 * [backup-simplify]: Simplify 1/2 into 1/2 11.095 * [taylor]: Taking taylor expansion of K in K 11.095 * [backup-simplify]: Simplify 0 into 0 11.095 * [backup-simplify]: Simplify 1 into 1 11.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.096 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.096 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.096 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.096 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.096 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.096 * [taylor]: Taking taylor expansion of 2 in K 11.097 * [backup-simplify]: Simplify 2 into 2 11.097 * [taylor]: Taking taylor expansion of (log U) in K 11.097 * [taylor]: Taking taylor expansion of U in K 11.097 * [backup-simplify]: Simplify U into U 11.097 * [backup-simplify]: Simplify (log U) into (log U) 11.097 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.097 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.097 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.097 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.098 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.098 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.098 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.098 * [taylor]: Taking taylor expansion of 1/4 in J 11.098 * [backup-simplify]: Simplify 1/4 into 1/4 11.098 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.098 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.098 * [taylor]: Taking taylor expansion of 1/4 in J 11.098 * [backup-simplify]: Simplify 1/4 into 1/4 11.098 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.098 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.098 * [taylor]: Taking taylor expansion of J in J 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.098 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.098 * [taylor]: Taking taylor expansion of 1/2 in J 11.098 * [backup-simplify]: Simplify 1/2 into 1/2 11.098 * [taylor]: Taking taylor expansion of K in J 11.098 * [backup-simplify]: Simplify K into K 11.098 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.099 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.099 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.099 * [backup-simplify]: Simplify (- 0) into 0 11.099 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.100 * [backup-simplify]: Simplify (* 1 1) into 1 11.100 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.100 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.100 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.100 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.100 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.100 * [taylor]: Taking taylor expansion of 2 in J 11.101 * [backup-simplify]: Simplify 2 into 2 11.101 * [taylor]: Taking taylor expansion of (log U) in J 11.101 * [taylor]: Taking taylor expansion of U in J 11.101 * [backup-simplify]: Simplify U into U 11.101 * [backup-simplify]: Simplify (log U) into (log U) 11.101 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.101 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.101 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.102 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.102 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.102 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.103 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.103 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.108 * [backup-simplify]: Simplify (+ 0) into 0 11.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.111 * [backup-simplify]: Simplify (- 0) into 0 11.111 * [backup-simplify]: Simplify (+ 0 0) into 0 11.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.113 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.114 * [backup-simplify]: Simplify (+ 0 0) into 0 11.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.116 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.118 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.118 * [taylor]: Taking taylor expansion of 0 in K 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [taylor]: Taking taylor expansion of 0 in J 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.118 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.122 * [backup-simplify]: Simplify (- 0) into 0 11.122 * [backup-simplify]: Simplify (+ 0 0) into 0 11.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.124 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.124 * [taylor]: Taking taylor expansion of 0 in J 11.124 * [backup-simplify]: Simplify 0 into 0 11.124 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.125 * [backup-simplify]: Simplify (+ 0) into 0 11.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.128 * [backup-simplify]: Simplify (- 0) into 0 11.128 * [backup-simplify]: Simplify (+ 0 0) into 0 11.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.129 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.132 * [backup-simplify]: Simplify (- 0) into 0 11.132 * [backup-simplify]: Simplify (+ 0 0) into 0 11.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.134 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.134 * [backup-simplify]: Simplify 0 into 0 11.135 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.138 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.138 * [backup-simplify]: Simplify (- 0) into 0 11.139 * [backup-simplify]: Simplify (+ 0 0) into 0 11.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.142 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.143 * [backup-simplify]: Simplify (+ 0 1) into 1 11.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.146 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.147 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 11.148 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.148 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 11.148 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 11.148 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.148 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.148 * [taylor]: Taking taylor expansion of 1/4 in K 11.148 * [backup-simplify]: Simplify 1/4 into 1/4 11.149 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.149 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.149 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 11.149 * [taylor]: Taking taylor expansion of 1/4 in K 11.149 * [backup-simplify]: Simplify 1/4 into 1/4 11.149 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 11.149 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.149 * [taylor]: Taking taylor expansion of J in K 11.149 * [backup-simplify]: Simplify J into J 11.149 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.149 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.149 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.149 * [taylor]: Taking taylor expansion of 1/2 in K 11.149 * [backup-simplify]: Simplify 1/2 into 1/2 11.149 * [taylor]: Taking taylor expansion of K in K 11.149 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify 1 into 1 11.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.150 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.150 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.150 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.151 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.151 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.151 * [taylor]: Taking taylor expansion of 2 in K 11.151 * [backup-simplify]: Simplify 2 into 2 11.151 * [taylor]: Taking taylor expansion of (log U) in K 11.151 * [taylor]: Taking taylor expansion of U in K 11.151 * [backup-simplify]: Simplify U into U 11.151 * [backup-simplify]: Simplify (log U) into (log U) 11.151 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.151 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.151 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.152 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.152 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.152 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.152 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.152 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.152 * [taylor]: Taking taylor expansion of 1/2 in K 11.152 * [backup-simplify]: Simplify 1/2 into 1/2 11.152 * [taylor]: Taking taylor expansion of K in K 11.152 * [backup-simplify]: Simplify 0 into 0 11.152 * [backup-simplify]: Simplify 1 into 1 11.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.153 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.153 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.153 * [taylor]: Taking taylor expansion of J in K 11.153 * [backup-simplify]: Simplify J into J 11.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.154 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.154 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.154 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.154 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.154 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.154 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.154 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.154 * [taylor]: Taking taylor expansion of 1/4 in J 11.154 * [backup-simplify]: Simplify 1/4 into 1/4 11.154 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.154 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.155 * [taylor]: Taking taylor expansion of 1/4 in J 11.155 * [backup-simplify]: Simplify 1/4 into 1/4 11.155 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.155 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.155 * [taylor]: Taking taylor expansion of J in J 11.155 * [backup-simplify]: Simplify 0 into 0 11.155 * [backup-simplify]: Simplify 1 into 1 11.155 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.155 * [taylor]: Taking taylor expansion of 1/2 in J 11.155 * [backup-simplify]: Simplify 1/2 into 1/2 11.155 * [taylor]: Taking taylor expansion of K in J 11.155 * [backup-simplify]: Simplify K into K 11.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.155 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.155 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.156 * [backup-simplify]: Simplify (- 0) into 0 11.156 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.156 * [backup-simplify]: Simplify (* 1 1) into 1 11.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.157 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.157 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.157 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.157 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.157 * [taylor]: Taking taylor expansion of 2 in J 11.157 * [backup-simplify]: Simplify 2 into 2 11.157 * [taylor]: Taking taylor expansion of (log U) in J 11.157 * [taylor]: Taking taylor expansion of U in J 11.157 * [backup-simplify]: Simplify U into U 11.157 * [backup-simplify]: Simplify (log U) into (log U) 11.158 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.158 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.158 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.158 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.158 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.159 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.159 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.159 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.159 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.159 * [taylor]: Taking taylor expansion of 1/2 in J 11.159 * [backup-simplify]: Simplify 1/2 into 1/2 11.159 * [taylor]: Taking taylor expansion of K in J 11.159 * [backup-simplify]: Simplify K into K 11.159 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.159 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.159 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.160 * [backup-simplify]: Simplify (- 0) into 0 11.160 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.160 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.160 * [taylor]: Taking taylor expansion of J in J 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.161 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.161 * [backup-simplify]: Simplify (* 1 1) into 1 11.162 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.163 * [backup-simplify]: Simplify (+ 0) into 0 11.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.165 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.167 * [backup-simplify]: Simplify (- 0) into 0 11.167 * [backup-simplify]: Simplify (+ 0 0) into 0 11.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.168 * [backup-simplify]: Simplify (- 0) into 0 11.169 * [backup-simplify]: Simplify (+ 0 0) into 0 11.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.170 * [backup-simplify]: Simplify (+ 0) into 0 11.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.173 * [backup-simplify]: Simplify (- 0) into 0 11.173 * [backup-simplify]: Simplify (+ 0 0) into 0 11.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.174 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.177 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.177 * [backup-simplify]: Simplify (- 0) into 0 11.178 * [backup-simplify]: Simplify (+ 0 0) into 0 11.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.180 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.183 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.184 * [backup-simplify]: Simplify (- 0) into 0 11.185 * [backup-simplify]: Simplify (+ 0 0) into 0 11.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.186 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.187 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.191 * [backup-simplify]: Simplify (- 0) into 0 11.192 * [backup-simplify]: Simplify (+ 0 0) into 0 11.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.194 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.195 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.197 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.200 * [backup-simplify]: Simplify 0 into 0 11.200 * [taylor]: Taking taylor expansion of 0 in J 11.200 * [backup-simplify]: Simplify 0 into 0 11.200 * [backup-simplify]: Simplify 0 into 0 11.201 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.202 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 11.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.208 * [backup-simplify]: Simplify (- 0) into 0 11.208 * [backup-simplify]: Simplify (+ 0 0) into 0 11.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.211 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.211 * [taylor]: Taking taylor expansion of 0 in J 11.211 * [backup-simplify]: Simplify 0 into 0 11.211 * [backup-simplify]: Simplify 0 into 0 11.211 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.212 * [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) 11.212 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 11.212 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 11.212 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.212 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.212 * [taylor]: Taking taylor expansion of 1/4 in J 11.212 * [backup-simplify]: Simplify 1/4 into 1/4 11.212 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.212 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.212 * [taylor]: Taking taylor expansion of 1 in J 11.212 * [backup-simplify]: Simplify 1 into 1 11.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.212 * [taylor]: Taking taylor expansion of 1/4 in J 11.212 * [backup-simplify]: Simplify 1/4 into 1/4 11.212 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.212 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.212 * [taylor]: Taking taylor expansion of J in J 11.212 * [backup-simplify]: Simplify 0 into 0 11.212 * [backup-simplify]: Simplify 1 into 1 11.212 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.212 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.212 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.212 * [taylor]: Taking taylor expansion of -1/2 in J 11.212 * [backup-simplify]: Simplify -1/2 into -1/2 11.212 * [taylor]: Taking taylor expansion of K in J 11.212 * [backup-simplify]: Simplify K into K 11.213 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.213 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.213 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.213 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.213 * [backup-simplify]: Simplify (- 0) into 0 11.214 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.214 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.214 * [taylor]: Taking taylor expansion of U in J 11.214 * [backup-simplify]: Simplify U into U 11.214 * [backup-simplify]: Simplify (* 1 1) into 1 11.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.214 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.215 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.215 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.215 * [backup-simplify]: Simplify (+ 1 0) into 1 11.216 * [backup-simplify]: Simplify (log 1) into 0 11.216 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.216 * [backup-simplify]: Simplify (+ 0 0) into 0 11.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.219 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.219 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.222 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.222 * [backup-simplify]: Simplify (exp 0) into 1 11.222 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 11.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.222 * [taylor]: Taking taylor expansion of 1/4 in K 11.222 * [backup-simplify]: Simplify 1/4 into 1/4 11.222 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.222 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.222 * [taylor]: Taking taylor expansion of 1 in K 11.222 * [backup-simplify]: Simplify 1 into 1 11.222 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.222 * [taylor]: Taking taylor expansion of 1/4 in K 11.222 * [backup-simplify]: Simplify 1/4 into 1/4 11.222 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.222 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.222 * [taylor]: Taking taylor expansion of J in K 11.222 * [backup-simplify]: Simplify J into J 11.222 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.222 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.222 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.222 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.223 * [taylor]: Taking taylor expansion of -1/2 in K 11.223 * [backup-simplify]: Simplify -1/2 into -1/2 11.223 * [taylor]: Taking taylor expansion of K in K 11.223 * [backup-simplify]: Simplify 0 into 0 11.223 * [backup-simplify]: Simplify 1 into 1 11.223 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.223 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.223 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.223 * [taylor]: Taking taylor expansion of U in K 11.223 * [backup-simplify]: Simplify U into U 11.223 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.223 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.223 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.224 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.224 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.224 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.225 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.225 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.225 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.225 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.225 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.225 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.225 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.225 * [taylor]: Taking taylor expansion of 1/4 in U 11.225 * [backup-simplify]: Simplify 1/4 into 1/4 11.225 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.226 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.226 * [taylor]: Taking taylor expansion of 1 in U 11.226 * [backup-simplify]: Simplify 1 into 1 11.226 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.226 * [taylor]: Taking taylor expansion of 1/4 in U 11.226 * [backup-simplify]: Simplify 1/4 into 1/4 11.226 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.226 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.226 * [taylor]: Taking taylor expansion of J in U 11.226 * [backup-simplify]: Simplify J into J 11.226 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.226 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.226 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.226 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.226 * [taylor]: Taking taylor expansion of -1/2 in U 11.226 * [backup-simplify]: Simplify -1/2 into -1/2 11.226 * [taylor]: Taking taylor expansion of K in U 11.226 * [backup-simplify]: Simplify K into K 11.226 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.226 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.226 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.226 * [backup-simplify]: Simplify (- 0) into 0 11.226 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.226 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.226 * [taylor]: Taking taylor expansion of U in U 11.226 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 1 into 1 11.227 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.227 * [backup-simplify]: Simplify (* 1 1) into 1 11.227 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.227 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.227 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.227 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.227 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.228 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.228 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.228 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.228 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.228 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.228 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.228 * [taylor]: Taking taylor expansion of 1/4 in U 11.228 * [backup-simplify]: Simplify 1/4 into 1/4 11.228 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.228 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.228 * [taylor]: Taking taylor expansion of 1 in U 11.228 * [backup-simplify]: Simplify 1 into 1 11.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.228 * [taylor]: Taking taylor expansion of 1/4 in U 11.228 * [backup-simplify]: Simplify 1/4 into 1/4 11.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.228 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.228 * [taylor]: Taking taylor expansion of J in U 11.228 * [backup-simplify]: Simplify J into J 11.228 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.229 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.229 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.229 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.229 * [taylor]: Taking taylor expansion of -1/2 in U 11.229 * [backup-simplify]: Simplify -1/2 into -1/2 11.229 * [taylor]: Taking taylor expansion of K in U 11.229 * [backup-simplify]: Simplify K into K 11.229 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.229 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.229 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.229 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.229 * [backup-simplify]: Simplify (- 0) into 0 11.229 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.229 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.229 * [taylor]: Taking taylor expansion of U in U 11.229 * [backup-simplify]: Simplify 0 into 0 11.229 * [backup-simplify]: Simplify 1 into 1 11.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.230 * [backup-simplify]: Simplify (* 1 1) into 1 11.230 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.230 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.230 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.230 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.230 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.231 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.231 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.231 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.231 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.231 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.231 * [taylor]: Taking taylor expansion of 1/4 in K 11.231 * [backup-simplify]: Simplify 1/4 into 1/4 11.231 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.231 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 11.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 11.232 * [taylor]: Taking taylor expansion of 1/4 in K 11.232 * [backup-simplify]: Simplify 1/4 into 1/4 11.232 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 11.232 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.232 * [taylor]: Taking taylor expansion of J in K 11.232 * [backup-simplify]: Simplify J into J 11.232 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.232 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.232 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.232 * [taylor]: Taking taylor expansion of -1/2 in K 11.232 * [backup-simplify]: Simplify -1/2 into -1/2 11.232 * [taylor]: Taking taylor expansion of K in K 11.232 * [backup-simplify]: Simplify 0 into 0 11.232 * [backup-simplify]: Simplify 1 into 1 11.232 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.232 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.232 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.232 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.232 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.233 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.233 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.233 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.233 * [taylor]: Taking taylor expansion of 2 in K 11.233 * [backup-simplify]: Simplify 2 into 2 11.233 * [taylor]: Taking taylor expansion of (log U) in K 11.233 * [taylor]: Taking taylor expansion of U in K 11.233 * [backup-simplify]: Simplify U into U 11.233 * [backup-simplify]: Simplify (log U) into (log U) 11.233 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.233 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.233 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.233 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.234 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.234 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.234 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.234 * [taylor]: Taking taylor expansion of 1/4 in J 11.234 * [backup-simplify]: Simplify 1/4 into 1/4 11.234 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.234 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.234 * [taylor]: Taking taylor expansion of 1/4 in J 11.234 * [backup-simplify]: Simplify 1/4 into 1/4 11.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.234 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.234 * [taylor]: Taking taylor expansion of J in J 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 1 into 1 11.234 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.234 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.234 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.234 * [taylor]: Taking taylor expansion of -1/2 in J 11.234 * [backup-simplify]: Simplify -1/2 into -1/2 11.234 * [taylor]: Taking taylor expansion of K in J 11.234 * [backup-simplify]: Simplify K into K 11.234 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.234 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.234 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.234 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.234 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.235 * [backup-simplify]: Simplify (- 0) into 0 11.235 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.235 * [backup-simplify]: Simplify (* 1 1) into 1 11.235 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.235 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.235 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.235 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.235 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.235 * [taylor]: Taking taylor expansion of 2 in J 11.235 * [backup-simplify]: Simplify 2 into 2 11.235 * [taylor]: Taking taylor expansion of (log U) in J 11.235 * [taylor]: Taking taylor expansion of U in J 11.236 * [backup-simplify]: Simplify U into U 11.236 * [backup-simplify]: Simplify (log U) into (log U) 11.236 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.236 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.236 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.236 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.236 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.237 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.237 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.237 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.238 * [backup-simplify]: Simplify (+ 0) into 0 11.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.238 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.239 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.239 * [backup-simplify]: Simplify (- 0) into 0 11.240 * [backup-simplify]: Simplify (+ 0 0) into 0 11.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.240 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.240 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.241 * [backup-simplify]: Simplify (+ 0 0) into 0 11.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.242 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.243 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.243 * [taylor]: Taking taylor expansion of 0 in K 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [taylor]: Taking taylor expansion of 0 in J 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [backup-simplify]: Simplify 0 into 0 11.243 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.244 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.245 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.245 * [backup-simplify]: Simplify (- 0) into 0 11.246 * [backup-simplify]: Simplify (+ 0 0) into 0 11.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.247 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.247 * [taylor]: Taking taylor expansion of 0 in J 11.247 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.248 * [backup-simplify]: Simplify (+ 0) into 0 11.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.248 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.253 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.253 * [backup-simplify]: Simplify (- 0) into 0 11.253 * [backup-simplify]: Simplify (+ 0 0) into 0 11.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.253 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.254 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.255 * [backup-simplify]: Simplify (- 0) into 0 11.255 * [backup-simplify]: Simplify (+ 0 0) into 0 11.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.257 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.257 * [backup-simplify]: Simplify 0 into 0 11.257 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.260 * [backup-simplify]: Simplify (- 0) into 0 11.260 * [backup-simplify]: Simplify (+ 0 0) into 0 11.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.261 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.261 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.262 * [backup-simplify]: Simplify (+ 1 0) into 1 11.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.263 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.264 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 11.265 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 11.265 * [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 11.265 * [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 11.265 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.265 * [taylor]: Taking taylor expansion of -1/2 in K 11.265 * [backup-simplify]: Simplify -1/2 into -1/2 11.265 * [taylor]: Taking taylor expansion of K in K 11.265 * [backup-simplify]: Simplify 0 into 0 11.265 * [backup-simplify]: Simplify 1 into 1 11.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.266 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.266 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.266 * [taylor]: Taking taylor expansion of 1/4 in K 11.266 * [backup-simplify]: Simplify 1/4 into 1/4 11.266 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.266 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 11.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 11.266 * [taylor]: Taking taylor expansion of 1/4 in K 11.266 * [backup-simplify]: Simplify 1/4 into 1/4 11.266 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 11.266 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.266 * [taylor]: Taking taylor expansion of J in K 11.266 * [backup-simplify]: Simplify J into J 11.266 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.266 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.266 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.266 * [taylor]: Taking taylor expansion of -1/2 in K 11.266 * [backup-simplify]: Simplify -1/2 into -1/2 11.266 * [taylor]: Taking taylor expansion of K in K 11.266 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify 1 into 1 11.267 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.267 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.267 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.267 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.267 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.267 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.267 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.267 * [taylor]: Taking taylor expansion of 2 in K 11.268 * [backup-simplify]: Simplify 2 into 2 11.268 * [taylor]: Taking taylor expansion of (log U) in K 11.268 * [taylor]: Taking taylor expansion of U in K 11.268 * [backup-simplify]: Simplify U into U 11.268 * [backup-simplify]: Simplify (log U) into (log U) 11.268 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.268 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.268 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.268 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.269 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.269 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.269 * [taylor]: Taking taylor expansion of J in K 11.269 * [backup-simplify]: Simplify J into J 11.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.269 * [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)))))) 11.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.270 * [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)) 11.270 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.270 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.270 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.270 * [taylor]: Taking taylor expansion of -1/2 in J 11.270 * [backup-simplify]: Simplify -1/2 into -1/2 11.270 * [taylor]: Taking taylor expansion of K in J 11.270 * [backup-simplify]: Simplify K into K 11.270 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.270 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.270 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.271 * [backup-simplify]: Simplify (- 0) into 0 11.271 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.271 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.271 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.271 * [taylor]: Taking taylor expansion of 1/4 in J 11.271 * [backup-simplify]: Simplify 1/4 into 1/4 11.271 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.271 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.271 * [taylor]: Taking taylor expansion of 1/4 in J 11.271 * [backup-simplify]: Simplify 1/4 into 1/4 11.271 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.271 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.271 * [taylor]: Taking taylor expansion of J in J 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 1 into 1 11.272 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.272 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.272 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.272 * [taylor]: Taking taylor expansion of -1/2 in J 11.272 * [backup-simplify]: Simplify -1/2 into -1/2 11.272 * [taylor]: Taking taylor expansion of K in J 11.272 * [backup-simplify]: Simplify K into K 11.272 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.272 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.272 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.272 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.272 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.272 * [backup-simplify]: Simplify (- 0) into 0 11.273 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.273 * [backup-simplify]: Simplify (* 1 1) into 1 11.273 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.273 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.273 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.274 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.274 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.274 * [taylor]: Taking taylor expansion of 2 in J 11.274 * [backup-simplify]: Simplify 2 into 2 11.274 * [taylor]: Taking taylor expansion of (log U) in J 11.274 * [taylor]: Taking taylor expansion of U in J 11.274 * [backup-simplify]: Simplify U into U 11.274 * [backup-simplify]: Simplify (log U) into (log U) 11.275 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.275 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.275 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.275 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.275 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.276 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.276 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.276 * [taylor]: Taking taylor expansion of J in J 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 1 into 1 11.276 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.276 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.277 * [backup-simplify]: Simplify (* 1 1) into 1 11.277 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.278 * [backup-simplify]: Simplify (+ 0) into 0 11.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.281 * [backup-simplify]: Simplify (- 0) into 0 11.281 * [backup-simplify]: Simplify (+ 0 0) into 0 11.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.281 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.283 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.284 * [backup-simplify]: Simplify (- 0) into 0 11.284 * [backup-simplify]: Simplify (+ 0 0) into 0 11.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.285 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.286 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.287 * [backup-simplify]: Simplify (- 0) into 0 11.287 * [backup-simplify]: Simplify (+ 0 0) into 0 11.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.288 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.291 * [backup-simplify]: Simplify (- 0) into 0 11.291 * [backup-simplify]: Simplify (+ 0 0) into 0 11.292 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.293 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.293 * [backup-simplify]: Simplify (+ 0) into 0 11.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.295 * [backup-simplify]: Simplify (- 0) into 0 11.295 * [backup-simplify]: Simplify (+ 0 0) into 0 11.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.296 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.298 * [backup-simplify]: Simplify (- 0) into 0 11.298 * [backup-simplify]: Simplify (+ 0 0) into 0 11.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.299 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.300 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.302 * [backup-simplify]: Simplify 0 into 0 11.302 * [taylor]: Taking taylor expansion of 0 in J 11.302 * [backup-simplify]: Simplify 0 into 0 11.302 * [backup-simplify]: Simplify 0 into 0 11.302 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.303 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 11.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.306 * [backup-simplify]: Simplify (- 0) into 0 11.307 * [backup-simplify]: Simplify (+ 0 0) into 0 11.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.308 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.308 * [taylor]: Taking taylor expansion of 0 in J 11.308 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.309 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 11.309 * [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) 11.309 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 11.309 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 11.309 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.309 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.309 * [taylor]: Taking taylor expansion of 1/4 in J 11.309 * [backup-simplify]: Simplify 1/4 into 1/4 11.309 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.309 * [taylor]: Taking taylor expansion of 1/4 in J 11.309 * [backup-simplify]: Simplify 1/4 into 1/4 11.309 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.309 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.309 * [taylor]: Taking taylor expansion of U in J 11.309 * [backup-simplify]: Simplify U into U 11.309 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.309 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.309 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.309 * [taylor]: Taking taylor expansion of 1/2 in J 11.309 * [backup-simplify]: Simplify 1/2 into 1/2 11.309 * [taylor]: Taking taylor expansion of K in J 11.309 * [backup-simplify]: Simplify K into K 11.309 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.309 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.309 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.309 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.309 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.310 * [backup-simplify]: Simplify (- 0) into 0 11.310 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.310 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.310 * [taylor]: Taking taylor expansion of J in J 11.310 * [backup-simplify]: Simplify 0 into 0 11.310 * [backup-simplify]: Simplify 1 into 1 11.310 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.310 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.310 * [backup-simplify]: Simplify (* 1 1) into 1 11.310 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.310 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.310 * [taylor]: Taking taylor expansion of 1 in J 11.310 * [backup-simplify]: Simplify 1 into 1 11.311 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.311 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 11.311 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.311 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.311 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.312 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.312 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 11.312 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.312 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.312 * [taylor]: Taking taylor expansion of 1/4 in K 11.312 * [backup-simplify]: Simplify 1/4 into 1/4 11.312 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.312 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.312 * [taylor]: Taking taylor expansion of 1/4 in K 11.312 * [backup-simplify]: Simplify 1/4 into 1/4 11.312 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.312 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.312 * [taylor]: Taking taylor expansion of U in K 11.312 * [backup-simplify]: Simplify U into U 11.312 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.312 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.312 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.312 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.312 * [taylor]: Taking taylor expansion of 1/2 in K 11.312 * [backup-simplify]: Simplify 1/2 into 1/2 11.312 * [taylor]: Taking taylor expansion of K in K 11.312 * [backup-simplify]: Simplify 0 into 0 11.312 * [backup-simplify]: Simplify 1 into 1 11.312 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.313 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.313 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.313 * [taylor]: Taking taylor expansion of J in K 11.313 * [backup-simplify]: Simplify J into J 11.313 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.313 * [backup-simplify]: Simplify (* 1 1) into 1 11.313 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.313 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.314 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.314 * [taylor]: Taking taylor expansion of 1 in K 11.314 * [backup-simplify]: Simplify 1 into 1 11.314 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.314 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.314 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.315 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.315 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 11.315 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.315 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.315 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.315 * [taylor]: Taking taylor expansion of 1/4 in U 11.315 * [backup-simplify]: Simplify 1/4 into 1/4 11.315 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.315 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.315 * [taylor]: Taking taylor expansion of 1/4 in U 11.315 * [backup-simplify]: Simplify 1/4 into 1/4 11.315 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.315 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.315 * [taylor]: Taking taylor expansion of U in U 11.315 * [backup-simplify]: Simplify 0 into 0 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.315 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.315 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.315 * [taylor]: Taking taylor expansion of 1/2 in U 11.316 * [backup-simplify]: Simplify 1/2 into 1/2 11.316 * [taylor]: Taking taylor expansion of K in U 11.316 * [backup-simplify]: Simplify K into K 11.316 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.316 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.316 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.316 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.316 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.317 * [backup-simplify]: Simplify (- 0) into 0 11.317 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.317 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.317 * [taylor]: Taking taylor expansion of J in U 11.317 * [backup-simplify]: Simplify J into J 11.317 * [backup-simplify]: Simplify (* 1 1) into 1 11.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.317 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.318 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.318 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.318 * [taylor]: Taking taylor expansion of 1 in U 11.318 * [backup-simplify]: Simplify 1 into 1 11.318 * [backup-simplify]: Simplify (+ 0 1) into 1 11.319 * [backup-simplify]: Simplify (log 1) into 0 11.319 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.320 * [backup-simplify]: Simplify (+ 0 0) into 0 11.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.322 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.322 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.326 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.326 * [backup-simplify]: Simplify (exp 0) into 1 11.326 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 11.326 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.326 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.326 * [taylor]: Taking taylor expansion of 1/4 in U 11.326 * [backup-simplify]: Simplify 1/4 into 1/4 11.326 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.326 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.326 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.326 * [taylor]: Taking taylor expansion of 1/4 in U 11.326 * [backup-simplify]: Simplify 1/4 into 1/4 11.326 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.326 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.326 * [taylor]: Taking taylor expansion of U in U 11.326 * [backup-simplify]: Simplify 0 into 0 11.326 * [backup-simplify]: Simplify 1 into 1 11.326 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.326 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.326 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.326 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.326 * [taylor]: Taking taylor expansion of 1/2 in U 11.326 * [backup-simplify]: Simplify 1/2 into 1/2 11.326 * [taylor]: Taking taylor expansion of K in U 11.326 * [backup-simplify]: Simplify K into K 11.326 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.326 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.327 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.327 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.327 * [backup-simplify]: Simplify (- 0) into 0 11.327 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.327 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.327 * [taylor]: Taking taylor expansion of J in U 11.327 * [backup-simplify]: Simplify J into J 11.328 * [backup-simplify]: Simplify (* 1 1) into 1 11.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.328 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.328 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.328 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.328 * [taylor]: Taking taylor expansion of 1 in U 11.328 * [backup-simplify]: Simplify 1 into 1 11.329 * [backup-simplify]: Simplify (+ 0 1) into 1 11.329 * [backup-simplify]: Simplify (log 1) into 0 11.330 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.330 * [backup-simplify]: Simplify (+ 0 0) into 0 11.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.332 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.332 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.333 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.336 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.336 * [backup-simplify]: Simplify (exp 0) into 1 11.336 * [taylor]: Taking taylor expansion of 1 in K 11.336 * [backup-simplify]: Simplify 1 into 1 11.336 * [taylor]: Taking taylor expansion of 1 in J 11.336 * [backup-simplify]: Simplify 1 into 1 11.336 * [backup-simplify]: Simplify 1 into 1 11.337 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.337 * [taylor]: Taking taylor expansion of 0 in K 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [taylor]: Taking taylor expansion of 0 in J 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [taylor]: Taking taylor expansion of 0 in J 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.339 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.339 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.339 * [taylor]: Taking taylor expansion of 1/16 in K 11.339 * [backup-simplify]: Simplify 1/16 into 1/16 11.339 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.339 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.339 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.339 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.339 * [taylor]: Taking taylor expansion of 1/2 in K 11.339 * [backup-simplify]: Simplify 1/2 into 1/2 11.339 * [taylor]: Taking taylor expansion of K in K 11.339 * [backup-simplify]: Simplify 0 into 0 11.339 * [backup-simplify]: Simplify 1 into 1 11.339 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.340 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.340 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.340 * [taylor]: Taking taylor expansion of J in K 11.340 * [backup-simplify]: Simplify J into J 11.341 * [backup-simplify]: Simplify (* 1 1) into 1 11.341 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.341 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.341 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 11.341 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 11.341 * [taylor]: Taking taylor expansion of 1/16 in J 11.341 * [backup-simplify]: Simplify 1/16 into 1/16 11.341 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.341 * [taylor]: Taking taylor expansion of J in J 11.341 * [backup-simplify]: Simplify 0 into 0 11.341 * [backup-simplify]: Simplify 1 into 1 11.342 * [backup-simplify]: Simplify (* 1 1) into 1 11.342 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 11.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 11.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [taylor]: Taking taylor expansion of 0 in J 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [taylor]: Taking taylor expansion of 0 in J 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [backup-simplify]: Simplify 1 into 1 11.347 * [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) 11.347 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 11.347 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 11.347 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.347 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.347 * [taylor]: Taking taylor expansion of 1/4 in J 11.347 * [backup-simplify]: Simplify 1/4 into 1/4 11.347 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.347 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.347 * [taylor]: Taking taylor expansion of 1/4 in J 11.347 * [backup-simplify]: Simplify 1/4 into 1/4 11.347 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.347 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.347 * [taylor]: Taking taylor expansion of J in J 11.347 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 1 into 1 11.348 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.348 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.348 * [taylor]: Taking taylor expansion of U in J 11.348 * [backup-simplify]: Simplify U into U 11.348 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.348 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.348 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.348 * [taylor]: Taking taylor expansion of 1/2 in J 11.348 * [backup-simplify]: Simplify 1/2 into 1/2 11.348 * [taylor]: Taking taylor expansion of K in J 11.348 * [backup-simplify]: Simplify K into K 11.348 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.348 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.348 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.348 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.348 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.349 * [backup-simplify]: Simplify (- 0) into 0 11.349 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.349 * [backup-simplify]: Simplify (* 1 1) into 1 11.349 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.349 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.350 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.350 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.350 * [taylor]: Taking taylor expansion of 1 in J 11.350 * [backup-simplify]: Simplify 1 into 1 11.350 * [backup-simplify]: Simplify (+ 0 1) into 1 11.351 * [backup-simplify]: Simplify (log 1) into 0 11.351 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.352 * [backup-simplify]: Simplify (+ 0 0) into 0 11.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.354 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.354 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.354 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.357 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.357 * [backup-simplify]: Simplify (exp 0) into 1 11.357 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 11.357 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.357 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.357 * [taylor]: Taking taylor expansion of 1/4 in K 11.357 * [backup-simplify]: Simplify 1/4 into 1/4 11.357 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.357 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.357 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.358 * [taylor]: Taking taylor expansion of 1/4 in K 11.358 * [backup-simplify]: Simplify 1/4 into 1/4 11.358 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.358 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.358 * [taylor]: Taking taylor expansion of J in K 11.358 * [backup-simplify]: Simplify J into J 11.358 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.358 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.358 * [taylor]: Taking taylor expansion of U in K 11.358 * [backup-simplify]: Simplify U into U 11.358 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.358 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.358 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.358 * [taylor]: Taking taylor expansion of 1/2 in K 11.358 * [backup-simplify]: Simplify 1/2 into 1/2 11.358 * [taylor]: Taking taylor expansion of K in K 11.358 * [backup-simplify]: Simplify 0 into 0 11.358 * [backup-simplify]: Simplify 1 into 1 11.359 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.359 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.359 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.359 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.359 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.359 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.359 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.359 * [taylor]: Taking taylor expansion of 1 in K 11.359 * [backup-simplify]: Simplify 1 into 1 11.360 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.360 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 11.360 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.361 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.362 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 11.362 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.362 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.362 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.362 * [taylor]: Taking taylor expansion of 1/4 in U 11.362 * [backup-simplify]: Simplify 1/4 into 1/4 11.362 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.362 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.362 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.362 * [taylor]: Taking taylor expansion of 1/4 in U 11.362 * [backup-simplify]: Simplify 1/4 into 1/4 11.362 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.362 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.362 * [taylor]: Taking taylor expansion of J in U 11.362 * [backup-simplify]: Simplify J into J 11.362 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.362 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.362 * [taylor]: Taking taylor expansion of U in U 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 1 into 1 11.362 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.362 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.362 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.362 * [taylor]: Taking taylor expansion of 1/2 in U 11.362 * [backup-simplify]: Simplify 1/2 into 1/2 11.362 * [taylor]: Taking taylor expansion of K in U 11.362 * [backup-simplify]: Simplify K into K 11.362 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.363 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.363 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.363 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.363 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.363 * [backup-simplify]: Simplify (- 0) into 0 11.364 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.364 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.364 * [backup-simplify]: Simplify (* 1 1) into 1 11.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.364 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.364 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.364 * [taylor]: Taking taylor expansion of 1 in U 11.365 * [backup-simplify]: Simplify 1 into 1 11.365 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.365 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.365 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.365 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.366 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.366 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.366 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 11.366 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.366 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.366 * [taylor]: Taking taylor expansion of 1/4 in U 11.366 * [backup-simplify]: Simplify 1/4 into 1/4 11.366 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.366 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.366 * [taylor]: Taking taylor expansion of 1/4 in U 11.366 * [backup-simplify]: Simplify 1/4 into 1/4 11.366 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.366 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.366 * [taylor]: Taking taylor expansion of J in U 11.366 * [backup-simplify]: Simplify J into J 11.366 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.366 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.366 * [taylor]: Taking taylor expansion of U in U 11.366 * [backup-simplify]: Simplify 0 into 0 11.366 * [backup-simplify]: Simplify 1 into 1 11.366 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.366 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.366 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.366 * [taylor]: Taking taylor expansion of 1/2 in U 11.366 * [backup-simplify]: Simplify 1/2 into 1/2 11.366 * [taylor]: Taking taylor expansion of K in U 11.366 * [backup-simplify]: Simplify K into K 11.366 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.366 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.366 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.366 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.366 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.367 * [backup-simplify]: Simplify (- 0) into 0 11.367 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.367 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.367 * [backup-simplify]: Simplify (* 1 1) into 1 11.367 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.367 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.367 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.367 * [taylor]: Taking taylor expansion of 1 in U 11.367 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.368 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.368 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.368 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.368 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.368 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.368 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.368 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.368 * [taylor]: Taking taylor expansion of 1/4 in K 11.369 * [backup-simplify]: Simplify 1/4 into 1/4 11.369 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.369 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.369 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 11.369 * [taylor]: Taking taylor expansion of 1/4 in K 11.369 * [backup-simplify]: Simplify 1/4 into 1/4 11.369 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 11.369 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.369 * [taylor]: Taking taylor expansion of J in K 11.369 * [backup-simplify]: Simplify J into J 11.369 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.369 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.369 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.369 * [taylor]: Taking taylor expansion of 1/2 in K 11.369 * [backup-simplify]: Simplify 1/2 into 1/2 11.369 * [taylor]: Taking taylor expansion of K in K 11.369 * [backup-simplify]: Simplify 0 into 0 11.369 * [backup-simplify]: Simplify 1 into 1 11.369 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.369 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.369 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.369 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.369 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.369 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.370 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.370 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.370 * [taylor]: Taking taylor expansion of 2 in K 11.370 * [backup-simplify]: Simplify 2 into 2 11.370 * [taylor]: Taking taylor expansion of (log U) in K 11.370 * [taylor]: Taking taylor expansion of U in K 11.370 * [backup-simplify]: Simplify U into U 11.370 * [backup-simplify]: Simplify (log U) into (log U) 11.370 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.370 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.370 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.370 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.370 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.370 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.370 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.370 * [taylor]: Taking taylor expansion of 1/4 in J 11.370 * [backup-simplify]: Simplify 1/4 into 1/4 11.370 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.370 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.370 * [taylor]: Taking taylor expansion of 1/4 in J 11.370 * [backup-simplify]: Simplify 1/4 into 1/4 11.370 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.370 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.370 * [taylor]: Taking taylor expansion of J in J 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.370 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.371 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.371 * [taylor]: Taking taylor expansion of 1/2 in J 11.371 * [backup-simplify]: Simplify 1/2 into 1/2 11.371 * [taylor]: Taking taylor expansion of K in J 11.371 * [backup-simplify]: Simplify K into K 11.371 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.371 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.371 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.371 * [backup-simplify]: Simplify (- 0) into 0 11.371 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.371 * [backup-simplify]: Simplify (* 1 1) into 1 11.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.372 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.372 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.372 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.372 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.372 * [taylor]: Taking taylor expansion of 2 in J 11.372 * [backup-simplify]: Simplify 2 into 2 11.372 * [taylor]: Taking taylor expansion of (log U) in J 11.372 * [taylor]: Taking taylor expansion of U in J 11.372 * [backup-simplify]: Simplify U into U 11.372 * [backup-simplify]: Simplify (log U) into (log U) 11.372 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.372 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.372 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.372 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.373 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.373 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.373 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.373 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.377 * [backup-simplify]: Simplify (+ 0) into 0 11.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.378 * [backup-simplify]: Simplify (- 0) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.380 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.380 * [backup-simplify]: Simplify (+ 0 0) into 0 11.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.381 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.382 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.382 * [taylor]: Taking taylor expansion of 0 in K 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [taylor]: Taking taylor expansion of 0 in J 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.383 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.383 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.385 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.385 * [backup-simplify]: Simplify (- 0) into 0 11.385 * [backup-simplify]: Simplify (+ 0 0) into 0 11.386 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.386 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.386 * [taylor]: Taking taylor expansion of 0 in J 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.387 * [backup-simplify]: Simplify (+ 0) into 0 11.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.388 * [backup-simplify]: Simplify (- 0) into 0 11.389 * [backup-simplify]: Simplify (+ 0 0) into 0 11.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.389 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.391 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.391 * [backup-simplify]: Simplify (- 0) into 0 11.391 * [backup-simplify]: Simplify (+ 0 0) into 0 11.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.392 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.392 * [backup-simplify]: Simplify 0 into 0 11.393 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.394 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.394 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.395 * [backup-simplify]: Simplify (- 0) into 0 11.395 * [backup-simplify]: Simplify (+ 0 0) into 0 11.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.397 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.398 * [backup-simplify]: Simplify (+ 0 1) into 1 11.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.399 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.400 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 11.400 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.401 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 11.401 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 11.401 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.401 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.401 * [taylor]: Taking taylor expansion of 1/4 in K 11.401 * [backup-simplify]: Simplify 1/4 into 1/4 11.401 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.401 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.401 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 11.401 * [taylor]: Taking taylor expansion of 1/4 in K 11.401 * [backup-simplify]: Simplify 1/4 into 1/4 11.401 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 11.401 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.401 * [taylor]: Taking taylor expansion of J in K 11.401 * [backup-simplify]: Simplify J into J 11.401 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.401 * [taylor]: Taking taylor expansion of 1/2 in K 11.401 * [backup-simplify]: Simplify 1/2 into 1/2 11.401 * [taylor]: Taking taylor expansion of K in K 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.402 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.402 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.402 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.402 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.403 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.403 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.403 * [taylor]: Taking taylor expansion of 2 in K 11.403 * [backup-simplify]: Simplify 2 into 2 11.403 * [taylor]: Taking taylor expansion of (log U) in K 11.403 * [taylor]: Taking taylor expansion of U in K 11.403 * [backup-simplify]: Simplify U into U 11.403 * [backup-simplify]: Simplify (log U) into (log U) 11.403 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.403 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.403 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.404 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.404 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.404 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.404 * [taylor]: Taking taylor expansion of 1/2 in K 11.404 * [backup-simplify]: Simplify 1/2 into 1/2 11.404 * [taylor]: Taking taylor expansion of K in K 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.405 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.405 * [taylor]: Taking taylor expansion of J in K 11.405 * [backup-simplify]: Simplify J into J 11.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.406 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.406 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.406 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 11.407 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.407 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.407 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.407 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.407 * [taylor]: Taking taylor expansion of 1/4 in J 11.407 * [backup-simplify]: Simplify 1/4 into 1/4 11.407 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.407 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.407 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.407 * [taylor]: Taking taylor expansion of 1/4 in J 11.407 * [backup-simplify]: Simplify 1/4 into 1/4 11.407 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.407 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.407 * [taylor]: Taking taylor expansion of J in J 11.407 * [backup-simplify]: Simplify 0 into 0 11.407 * [backup-simplify]: Simplify 1 into 1 11.407 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.407 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.407 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.407 * [taylor]: Taking taylor expansion of 1/2 in J 11.407 * [backup-simplify]: Simplify 1/2 into 1/2 11.407 * [taylor]: Taking taylor expansion of K in J 11.407 * [backup-simplify]: Simplify K into K 11.407 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.407 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.407 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.407 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.407 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.408 * [backup-simplify]: Simplify (- 0) into 0 11.408 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.408 * [backup-simplify]: Simplify (* 1 1) into 1 11.409 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.409 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.409 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.409 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.409 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.409 * [taylor]: Taking taylor expansion of 2 in J 11.409 * [backup-simplify]: Simplify 2 into 2 11.409 * [taylor]: Taking taylor expansion of (log U) in J 11.409 * [taylor]: Taking taylor expansion of U in J 11.409 * [backup-simplify]: Simplify U into U 11.409 * [backup-simplify]: Simplify (log U) into (log U) 11.410 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.410 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.410 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.410 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.410 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.411 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.411 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.411 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.411 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.411 * [taylor]: Taking taylor expansion of 1/2 in J 11.411 * [backup-simplify]: Simplify 1/2 into 1/2 11.411 * [taylor]: Taking taylor expansion of K in J 11.411 * [backup-simplify]: Simplify K into K 11.411 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.411 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.411 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.411 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.411 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.412 * [backup-simplify]: Simplify (- 0) into 0 11.412 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.412 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.412 * [taylor]: Taking taylor expansion of J in J 11.412 * [backup-simplify]: Simplify 0 into 0 11.412 * [backup-simplify]: Simplify 1 into 1 11.412 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.412 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.413 * [backup-simplify]: Simplify (* 1 1) into 1 11.413 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.414 * [backup-simplify]: Simplify (+ 0) into 0 11.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.415 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.418 * [backup-simplify]: Simplify (- 0) into 0 11.418 * [backup-simplify]: Simplify (+ 0 0) into 0 11.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.419 * [backup-simplify]: Simplify (- 0) into 0 11.419 * [backup-simplify]: Simplify (+ 0 0) into 0 11.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.421 * [backup-simplify]: Simplify (+ 0) into 0 11.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.423 * [backup-simplify]: Simplify (- 0) into 0 11.423 * [backup-simplify]: Simplify (+ 0 0) into 0 11.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.424 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.424 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.426 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.427 * [backup-simplify]: Simplify (- 0) into 0 11.427 * [backup-simplify]: Simplify (+ 0 0) into 0 11.428 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.428 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.433 * [backup-simplify]: Simplify (- 0) into 0 11.434 * [backup-simplify]: Simplify (+ 0 0) into 0 11.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.435 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.442 * [backup-simplify]: Simplify (- 0) into 0 11.443 * [backup-simplify]: Simplify (+ 0 0) into 0 11.444 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.446 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.446 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.448 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [taylor]: Taking taylor expansion of 0 in J 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.454 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 11.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.460 * [backup-simplify]: Simplify (- 0) into 0 11.460 * [backup-simplify]: Simplify (+ 0 0) into 0 11.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.463 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.463 * [taylor]: Taking taylor expansion of 0 in J 11.463 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.464 * [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) 11.464 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 11.464 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 11.464 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.464 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.464 * [taylor]: Taking taylor expansion of 1/4 in J 11.464 * [backup-simplify]: Simplify 1/4 into 1/4 11.464 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.464 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.464 * [taylor]: Taking taylor expansion of 1 in J 11.464 * [backup-simplify]: Simplify 1 into 1 11.464 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.464 * [taylor]: Taking taylor expansion of 1/4 in J 11.465 * [backup-simplify]: Simplify 1/4 into 1/4 11.465 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.465 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.465 * [taylor]: Taking taylor expansion of J in J 11.465 * [backup-simplify]: Simplify 0 into 0 11.465 * [backup-simplify]: Simplify 1 into 1 11.465 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.465 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.465 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.465 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.465 * [taylor]: Taking taylor expansion of -1/2 in J 11.465 * [backup-simplify]: Simplify -1/2 into -1/2 11.465 * [taylor]: Taking taylor expansion of K in J 11.465 * [backup-simplify]: Simplify K into K 11.465 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.465 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.465 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.465 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.466 * [backup-simplify]: Simplify (- 0) into 0 11.466 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.466 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.466 * [taylor]: Taking taylor expansion of U in J 11.466 * [backup-simplify]: Simplify U into U 11.466 * [backup-simplify]: Simplify (* 1 1) into 1 11.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.466 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.467 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.467 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.467 * [backup-simplify]: Simplify (+ 1 0) into 1 11.468 * [backup-simplify]: Simplify (log 1) into 0 11.468 * [backup-simplify]: Simplify (* 1/4 0) into 0 11.469 * [backup-simplify]: Simplify (+ 0 0) into 0 11.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 11.471 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.471 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.474 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.474 * [backup-simplify]: Simplify (exp 0) into 1 11.474 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 11.474 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.474 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.474 * [taylor]: Taking taylor expansion of 1/4 in K 11.474 * [backup-simplify]: Simplify 1/4 into 1/4 11.474 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.474 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.474 * [taylor]: Taking taylor expansion of 1 in K 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.474 * [taylor]: Taking taylor expansion of 1/4 in K 11.474 * [backup-simplify]: Simplify 1/4 into 1/4 11.474 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.474 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.474 * [taylor]: Taking taylor expansion of J in K 11.474 * [backup-simplify]: Simplify J into J 11.474 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.474 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.475 * [taylor]: Taking taylor expansion of -1/2 in K 11.475 * [backup-simplify]: Simplify -1/2 into -1/2 11.475 * [taylor]: Taking taylor expansion of K in K 11.475 * [backup-simplify]: Simplify 0 into 0 11.475 * [backup-simplify]: Simplify 1 into 1 11.475 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.475 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.475 * [taylor]: Taking taylor expansion of U in K 11.475 * [backup-simplify]: Simplify U into U 11.475 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.476 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.476 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.476 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.476 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.477 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 11.477 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.477 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.478 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 11.478 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.478 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.478 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.478 * [taylor]: Taking taylor expansion of 1/4 in U 11.478 * [backup-simplify]: Simplify 1/4 into 1/4 11.478 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.478 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.478 * [taylor]: Taking taylor expansion of 1 in U 11.478 * [backup-simplify]: Simplify 1 into 1 11.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.478 * [taylor]: Taking taylor expansion of 1/4 in U 11.478 * [backup-simplify]: Simplify 1/4 into 1/4 11.478 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.478 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.478 * [taylor]: Taking taylor expansion of J in U 11.478 * [backup-simplify]: Simplify J into J 11.478 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.478 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.478 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.478 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.478 * [taylor]: Taking taylor expansion of -1/2 in U 11.478 * [backup-simplify]: Simplify -1/2 into -1/2 11.478 * [taylor]: Taking taylor expansion of K in U 11.478 * [backup-simplify]: Simplify K into K 11.479 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.479 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.479 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.479 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.479 * [backup-simplify]: Simplify (- 0) into 0 11.479 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.479 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.480 * [taylor]: Taking taylor expansion of U in U 11.480 * [backup-simplify]: Simplify 0 into 0 11.480 * [backup-simplify]: Simplify 1 into 1 11.480 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.480 * [backup-simplify]: Simplify (* 1 1) into 1 11.480 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.480 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.481 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.481 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.481 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.482 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.482 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.482 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.482 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 11.482 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.483 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.483 * [taylor]: Taking taylor expansion of 1/4 in U 11.483 * [backup-simplify]: Simplify 1/4 into 1/4 11.483 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.483 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.483 * [taylor]: Taking taylor expansion of 1 in U 11.483 * [backup-simplify]: Simplify 1 into 1 11.483 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.483 * [taylor]: Taking taylor expansion of 1/4 in U 11.483 * [backup-simplify]: Simplify 1/4 into 1/4 11.483 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.483 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.483 * [taylor]: Taking taylor expansion of J in U 11.483 * [backup-simplify]: Simplify J into J 11.483 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.483 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.483 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.483 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.483 * [taylor]: Taking taylor expansion of -1/2 in U 11.483 * [backup-simplify]: Simplify -1/2 into -1/2 11.483 * [taylor]: Taking taylor expansion of K in U 11.483 * [backup-simplify]: Simplify K into K 11.483 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.483 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.483 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.483 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.483 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.484 * [backup-simplify]: Simplify (- 0) into 0 11.484 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.484 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.484 * [taylor]: Taking taylor expansion of U in U 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.485 * [backup-simplify]: Simplify (* 1 1) into 1 11.485 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.485 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.485 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.486 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.486 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.487 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.487 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.487 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.487 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.487 * [taylor]: Taking taylor expansion of 1/4 in K 11.487 * [backup-simplify]: Simplify 1/4 into 1/4 11.487 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.487 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 11.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 11.488 * [taylor]: Taking taylor expansion of 1/4 in K 11.488 * [backup-simplify]: Simplify 1/4 into 1/4 11.488 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 11.488 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.488 * [taylor]: Taking taylor expansion of J in K 11.488 * [backup-simplify]: Simplify J into J 11.488 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.488 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.488 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.488 * [taylor]: Taking taylor expansion of -1/2 in K 11.488 * [backup-simplify]: Simplify -1/2 into -1/2 11.488 * [taylor]: Taking taylor expansion of K in K 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.488 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.488 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.489 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.489 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.489 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.489 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.489 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.489 * [taylor]: Taking taylor expansion of 2 in K 11.489 * [backup-simplify]: Simplify 2 into 2 11.489 * [taylor]: Taking taylor expansion of (log U) in K 11.489 * [taylor]: Taking taylor expansion of U in K 11.489 * [backup-simplify]: Simplify U into U 11.489 * [backup-simplify]: Simplify (log U) into (log U) 11.489 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.490 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.490 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.490 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.490 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.490 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.491 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.491 * [taylor]: Taking taylor expansion of 1/4 in J 11.491 * [backup-simplify]: Simplify 1/4 into 1/4 11.491 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.491 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.491 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.491 * [taylor]: Taking taylor expansion of 1/4 in J 11.491 * [backup-simplify]: Simplify 1/4 into 1/4 11.491 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.491 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.491 * [taylor]: Taking taylor expansion of J in J 11.491 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify 1 into 1 11.491 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.491 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.491 * [taylor]: Taking taylor expansion of -1/2 in J 11.491 * [backup-simplify]: Simplify -1/2 into -1/2 11.491 * [taylor]: Taking taylor expansion of K in J 11.491 * [backup-simplify]: Simplify K into K 11.491 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.491 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.491 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.491 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.491 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.492 * [backup-simplify]: Simplify (- 0) into 0 11.492 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.492 * [backup-simplify]: Simplify (* 1 1) into 1 11.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.493 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.493 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.493 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.493 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.493 * [taylor]: Taking taylor expansion of 2 in J 11.493 * [backup-simplify]: Simplify 2 into 2 11.493 * [taylor]: Taking taylor expansion of (log U) in J 11.493 * [taylor]: Taking taylor expansion of U in J 11.493 * [backup-simplify]: Simplify U into U 11.493 * [backup-simplify]: Simplify (log U) into (log U) 11.494 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.494 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.494 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.494 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.494 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.495 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.495 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.495 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.496 * [backup-simplify]: Simplify (+ 0) into 0 11.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.497 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.498 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.499 * [backup-simplify]: Simplify (- 0) into 0 11.499 * [backup-simplify]: Simplify (+ 0 0) into 0 11.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.500 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.500 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.501 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.501 * [backup-simplify]: Simplify (+ 0 0) into 0 11.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.503 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.504 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.504 * [taylor]: Taking taylor expansion of 0 in K 11.505 * [backup-simplify]: Simplify 0 into 0 11.505 * [taylor]: Taking taylor expansion of 0 in J 11.505 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.505 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.508 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.509 * [backup-simplify]: Simplify (- 0) into 0 11.509 * [backup-simplify]: Simplify (+ 0 0) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.511 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.511 * [taylor]: Taking taylor expansion of 0 in J 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.512 * [backup-simplify]: Simplify (+ 0) into 0 11.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.520 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.520 * [backup-simplify]: Simplify (- 0) into 0 11.520 * [backup-simplify]: Simplify (+ 0 0) into 0 11.521 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.521 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.524 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.524 * [backup-simplify]: Simplify (- 0) into 0 11.525 * [backup-simplify]: Simplify (+ 0 0) into 0 11.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.527 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.532 * [backup-simplify]: Simplify (- 0) into 0 11.532 * [backup-simplify]: Simplify (+ 0 0) into 0 11.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.533 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.534 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.536 * [backup-simplify]: Simplify (+ 1 0) into 1 11.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.539 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.540 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 11.541 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 11.541 * [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 11.541 * [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 11.541 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.541 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.541 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.541 * [taylor]: Taking taylor expansion of -1/2 in K 11.541 * [backup-simplify]: Simplify -1/2 into -1/2 11.542 * [taylor]: Taking taylor expansion of K in K 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.542 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.542 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.542 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.542 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.542 * [taylor]: Taking taylor expansion of 1/4 in K 11.542 * [backup-simplify]: Simplify 1/4 into 1/4 11.542 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.542 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 11.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 11.542 * [taylor]: Taking taylor expansion of 1/4 in K 11.542 * [backup-simplify]: Simplify 1/4 into 1/4 11.542 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 11.542 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.542 * [taylor]: Taking taylor expansion of J in K 11.542 * [backup-simplify]: Simplify J into J 11.543 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.543 * [taylor]: Taking taylor expansion of -1/2 in K 11.543 * [backup-simplify]: Simplify -1/2 into -1/2 11.543 * [taylor]: Taking taylor expansion of K in K 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.543 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.544 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.544 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 11.544 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.544 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.544 * [taylor]: Taking taylor expansion of 2 in K 11.544 * [backup-simplify]: Simplify 2 into 2 11.544 * [taylor]: Taking taylor expansion of (log U) in K 11.544 * [taylor]: Taking taylor expansion of U in K 11.544 * [backup-simplify]: Simplify U into U 11.544 * [backup-simplify]: Simplify (log U) into (log U) 11.544 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.544 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.545 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.545 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.545 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.545 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.545 * [taylor]: Taking taylor expansion of J in K 11.545 * [backup-simplify]: Simplify J into J 11.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.546 * [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)))))) 11.546 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.546 * [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)) 11.546 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.547 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.547 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.547 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.547 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.547 * [taylor]: Taking taylor expansion of -1/2 in J 11.547 * [backup-simplify]: Simplify -1/2 into -1/2 11.547 * [taylor]: Taking taylor expansion of K in J 11.547 * [backup-simplify]: Simplify K into K 11.547 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.547 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.547 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.547 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.547 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.548 * [backup-simplify]: Simplify (- 0) into 0 11.548 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.548 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.548 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.548 * [taylor]: Taking taylor expansion of 1/4 in J 11.548 * [backup-simplify]: Simplify 1/4 into 1/4 11.548 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.548 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.548 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.548 * [taylor]: Taking taylor expansion of 1/4 in J 11.548 * [backup-simplify]: Simplify 1/4 into 1/4 11.548 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.548 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.548 * [taylor]: Taking taylor expansion of J in J 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 1 into 1 11.548 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.548 * [taylor]: Taking taylor expansion of -1/2 in J 11.548 * [backup-simplify]: Simplify -1/2 into -1/2 11.548 * [taylor]: Taking taylor expansion of K in J 11.548 * [backup-simplify]: Simplify K into K 11.548 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.548 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.549 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.549 * [backup-simplify]: Simplify (- 0) into 0 11.549 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.550 * [backup-simplify]: Simplify (* 1 1) into 1 11.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.550 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.550 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.551 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.551 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.551 * [taylor]: Taking taylor expansion of 2 in J 11.551 * [backup-simplify]: Simplify 2 into 2 11.551 * [taylor]: Taking taylor expansion of (log U) in J 11.551 * [taylor]: Taking taylor expansion of U in J 11.551 * [backup-simplify]: Simplify U into U 11.551 * [backup-simplify]: Simplify (log U) into (log U) 11.551 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.551 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.552 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.552 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.552 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.552 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.552 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.552 * [taylor]: Taking taylor expansion of J in J 11.552 * [backup-simplify]: Simplify 0 into 0 11.553 * [backup-simplify]: Simplify 1 into 1 11.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.553 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.554 * [backup-simplify]: Simplify (* 1 1) into 1 11.554 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.555 * [backup-simplify]: Simplify (+ 0) into 0 11.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.558 * [backup-simplify]: Simplify (- 0) into 0 11.558 * [backup-simplify]: Simplify (+ 0 0) into 0 11.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.559 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.561 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.562 * [backup-simplify]: Simplify (- 0) into 0 11.562 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.568 * [backup-simplify]: Simplify (- 0) into 0 11.568 * [backup-simplify]: Simplify (+ 0 0) into 0 11.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.569 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.570 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.575 * [backup-simplify]: Simplify (- 0) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.578 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.578 * [backup-simplify]: Simplify (+ 0) into 0 11.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.579 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.580 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.580 * [backup-simplify]: Simplify (- 0) into 0 11.581 * [backup-simplify]: Simplify (+ 0 0) into 0 11.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.582 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.583 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.585 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.586 * [backup-simplify]: Simplify (- 0) into 0 11.586 * [backup-simplify]: Simplify (+ 0 0) into 0 11.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.588 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.589 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [taylor]: Taking taylor expansion of 0 in J 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.595 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.596 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 11.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.601 * [backup-simplify]: Simplify (- 0) into 0 11.601 * [backup-simplify]: Simplify (+ 0 0) into 0 11.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.604 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.604 * [taylor]: Taking taylor expansion of 0 in J 11.604 * [backup-simplify]: Simplify 0 into 0 11.604 * [backup-simplify]: Simplify 0 into 0 11.605 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.605 * * * [progress]: simplifying candidates 11.605 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 11.605 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 11.606 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 11.606 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 11.607 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 11.607 * * * * [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)))))> 11.608 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 11.608 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 11.609 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 11.609 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 11.610 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 11.611 * * * * [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)))))> 11.611 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 11.611 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 11.612 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 11.614 * [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)))))) 11.616 * * [simplify]: iteration 0: 92 enodes 11.640 * * [simplify]: iteration 1: 182 enodes 11.704 * * [simplify]: iteration 2: 492 enodes 11.903 * * [simplify]: iteration 3: 2018 enodes 12.498 * * [simplify]: iteration complete: 2018 enodes 12.498 * * [simplify]: Extracting #0: cost 35 inf + 0 12.498 * * [simplify]: Extracting #1: cost 113 inf + 3 12.499 * * [simplify]: Extracting #2: cost 296 inf + 202 12.503 * * [simplify]: Extracting #3: cost 684 inf + 1132 12.510 * * [simplify]: Extracting #4: cost 794 inf + 9520 12.524 * * [simplify]: Extracting #5: cost 655 inf + 43136 12.552 * * [simplify]: Extracting #6: cost 504 inf + 84893 12.613 * * [simplify]: Extracting #7: cost 162 inf + 206571 12.669 * * [simplify]: Extracting #8: cost 21 inf + 263158 12.736 * * [simplify]: Extracting #9: cost 0 inf + 272546 12.803 * [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 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)))) (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 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)) 12.819 * * * [progress]: adding candidates to table 14.239 * * [progress]: iteration 4 / 4 14.240 * * * [progress]: picking best candidate 14.296 * * * * [pick]: Picked # 14.296 * * * [progress]: localizing error 14.368 * * * [progress]: generating rewritten candidates 14.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 14.516 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 2) 14.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 14.786 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 15.078 * * * [progress]: generating series expansions 15.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 15.078 * [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)) 15.078 * [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 15.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.078 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.078 * [taylor]: Taking taylor expansion of 1/4 in J 15.078 * [backup-simplify]: Simplify 1/4 into 1/4 15.078 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.078 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.078 * [taylor]: Taking taylor expansion of U in J 15.078 * [backup-simplify]: Simplify U into U 15.078 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.078 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.078 * [taylor]: Taking taylor expansion of 1/2 in J 15.078 * [backup-simplify]: Simplify 1/2 into 1/2 15.078 * [taylor]: Taking taylor expansion of K in J 15.078 * [backup-simplify]: Simplify K into K 15.078 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.078 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.079 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.079 * [backup-simplify]: Simplify (- 0) into 0 15.079 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.079 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.079 * [taylor]: Taking taylor expansion of J in J 15.079 * [backup-simplify]: Simplify 0 into 0 15.079 * [backup-simplify]: Simplify 1 into 1 15.079 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.080 * [backup-simplify]: Simplify (* 1 1) into 1 15.080 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.080 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.080 * [taylor]: Taking taylor expansion of 1 in J 15.080 * [backup-simplify]: Simplify 1 into 1 15.080 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.080 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.080 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.080 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.081 * [backup-simplify]: Simplify (+ 0) into 0 15.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.082 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.083 * [backup-simplify]: Simplify (- 0) into 0 15.083 * [backup-simplify]: Simplify (+ 0 0) into 0 15.083 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.083 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.084 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.084 * [backup-simplify]: Simplify (+ 0 0) into 0 15.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.084 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.084 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.084 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.084 * [taylor]: Taking taylor expansion of 1/4 in K 15.084 * [backup-simplify]: Simplify 1/4 into 1/4 15.084 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.084 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.084 * [taylor]: Taking taylor expansion of U in K 15.085 * [backup-simplify]: Simplify U into U 15.085 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.085 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.085 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.085 * [taylor]: Taking taylor expansion of 1/2 in K 15.085 * [backup-simplify]: Simplify 1/2 into 1/2 15.085 * [taylor]: Taking taylor expansion of K in K 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 1 into 1 15.085 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.085 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.085 * [taylor]: Taking taylor expansion of J in K 15.085 * [backup-simplify]: Simplify J into J 15.085 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.086 * [backup-simplify]: Simplify (* 1 1) into 1 15.086 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.086 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.086 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.086 * [taylor]: Taking taylor expansion of 1 in K 15.086 * [backup-simplify]: Simplify 1 into 1 15.086 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.086 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.086 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.086 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.086 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.087 * [backup-simplify]: Simplify (+ 0) into 0 15.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.087 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.088 * [backup-simplify]: Simplify (+ 0 0) into 0 15.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.088 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.088 * [taylor]: Taking taylor expansion of 1/4 in U 15.088 * [backup-simplify]: Simplify 1/4 into 1/4 15.088 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.088 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.088 * [taylor]: Taking taylor expansion of U in U 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify 1 into 1 15.088 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.088 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.088 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.088 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.089 * [taylor]: Taking taylor expansion of 1/2 in U 15.089 * [backup-simplify]: Simplify 1/2 into 1/2 15.089 * [taylor]: Taking taylor expansion of K in U 15.089 * [backup-simplify]: Simplify K into K 15.089 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.089 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.089 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.089 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.089 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.089 * [backup-simplify]: Simplify (- 0) into 0 15.089 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.089 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.089 * [taylor]: Taking taylor expansion of J in U 15.089 * [backup-simplify]: Simplify J into J 15.089 * [backup-simplify]: Simplify (* 1 1) into 1 15.089 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.090 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.090 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.090 * [taylor]: Taking taylor expansion of 1 in U 15.090 * [backup-simplify]: Simplify 1 into 1 15.090 * [backup-simplify]: Simplify (+ 0 1) into 1 15.090 * [backup-simplify]: Simplify (sqrt 1) into 1 15.090 * [backup-simplify]: Simplify (+ 0 0) into 0 15.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.091 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.091 * [taylor]: Taking taylor expansion of 1/4 in U 15.091 * [backup-simplify]: Simplify 1/4 into 1/4 15.091 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.091 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.091 * [taylor]: Taking taylor expansion of U in U 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify 1 into 1 15.091 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.091 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.091 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.091 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.091 * [taylor]: Taking taylor expansion of 1/2 in U 15.091 * [backup-simplify]: Simplify 1/2 into 1/2 15.091 * [taylor]: Taking taylor expansion of K in U 15.091 * [backup-simplify]: Simplify K into K 15.091 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.091 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.091 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.091 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.091 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.092 * [backup-simplify]: Simplify (- 0) into 0 15.092 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.092 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.092 * [taylor]: Taking taylor expansion of J in U 15.092 * [backup-simplify]: Simplify J into J 15.092 * [backup-simplify]: Simplify (* 1 1) into 1 15.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.092 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.092 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.092 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.092 * [taylor]: Taking taylor expansion of 1 in U 15.092 * [backup-simplify]: Simplify 1 into 1 15.093 * [backup-simplify]: Simplify (+ 0 1) into 1 15.093 * [backup-simplify]: Simplify (sqrt 1) into 1 15.093 * [backup-simplify]: Simplify (+ 0 0) into 0 15.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.094 * [taylor]: Taking taylor expansion of 1 in K 15.094 * [backup-simplify]: Simplify 1 into 1 15.094 * [taylor]: Taking taylor expansion of 1 in J 15.094 * [backup-simplify]: Simplify 1 into 1 15.094 * [taylor]: Taking taylor expansion of 0 in K 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [taylor]: Taking taylor expansion of 0 in J 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [taylor]: Taking taylor expansion of 0 in J 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [backup-simplify]: Simplify 1 into 1 15.094 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.094 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.095 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.095 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.095 * [taylor]: Taking taylor expansion of 1/8 in K 15.095 * [backup-simplify]: Simplify 1/8 into 1/8 15.095 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.095 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.095 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.095 * [taylor]: Taking taylor expansion of 1/2 in K 15.095 * [backup-simplify]: Simplify 1/2 into 1/2 15.095 * [taylor]: Taking taylor expansion of K in K 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify 1 into 1 15.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.096 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.096 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.096 * [taylor]: Taking taylor expansion of J in K 15.096 * [backup-simplify]: Simplify J into J 15.096 * [backup-simplify]: Simplify (* 1 1) into 1 15.096 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.096 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.096 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 15.096 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 15.096 * [taylor]: Taking taylor expansion of 1/8 in J 15.096 * [backup-simplify]: Simplify 1/8 into 1/8 15.096 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.096 * [taylor]: Taking taylor expansion of J in J 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 1 into 1 15.097 * [backup-simplify]: Simplify (* 1 1) into 1 15.097 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [taylor]: Taking taylor expansion of 0 in J 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [taylor]: Taking taylor expansion of 0 in J 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [backup-simplify]: Simplify 0 into 0 15.098 * [backup-simplify]: Simplify 0 into 0 15.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.101 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.101 * [backup-simplify]: Simplify (+ 0) into 0 15.101 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.102 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.102 * [backup-simplify]: Simplify (- 0) into 0 15.103 * [backup-simplify]: Simplify (+ 0 0) into 0 15.103 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.103 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.103 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.104 * [backup-simplify]: Simplify (+ 0 0) into 0 15.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.104 * [taylor]: Taking taylor expansion of 0 in K 15.104 * [backup-simplify]: Simplify 0 into 0 15.104 * [taylor]: Taking taylor expansion of 0 in J 15.104 * [backup-simplify]: Simplify 0 into 0 15.104 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.105 * [backup-simplify]: Simplify (+ 0) into 0 15.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.106 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 15.106 * [taylor]: Taking taylor expansion of 0 in J 15.106 * [backup-simplify]: Simplify 0 into 0 15.106 * [taylor]: Taking taylor expansion of 0 in J 15.106 * [backup-simplify]: Simplify 0 into 0 15.106 * [taylor]: Taking taylor expansion of 0 in J 15.107 * [backup-simplify]: Simplify 0 into 0 15.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.109 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 1 into 1 15.109 * [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)) 15.109 * [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 15.109 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.109 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.110 * [taylor]: Taking taylor expansion of 1/4 in J 15.110 * [backup-simplify]: Simplify 1/4 into 1/4 15.110 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.110 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.110 * [taylor]: Taking taylor expansion of J in J 15.110 * [backup-simplify]: Simplify 0 into 0 15.110 * [backup-simplify]: Simplify 1 into 1 15.110 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.110 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.110 * [taylor]: Taking taylor expansion of U in J 15.110 * [backup-simplify]: Simplify U into U 15.110 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.110 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.110 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.110 * [taylor]: Taking taylor expansion of 1/2 in J 15.110 * [backup-simplify]: Simplify 1/2 into 1/2 15.110 * [taylor]: Taking taylor expansion of K in J 15.110 * [backup-simplify]: Simplify K into K 15.110 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.110 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.110 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.110 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.110 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.111 * [backup-simplify]: Simplify (- 0) into 0 15.111 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.111 * [backup-simplify]: Simplify (* 1 1) into 1 15.111 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.112 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.112 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.112 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.112 * [taylor]: Taking taylor expansion of 1 in J 15.112 * [backup-simplify]: Simplify 1 into 1 15.112 * [backup-simplify]: Simplify (+ 0 1) into 1 15.113 * [backup-simplify]: Simplify (sqrt 1) into 1 15.113 * [backup-simplify]: Simplify (+ 0 0) into 0 15.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.114 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.114 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.114 * [taylor]: Taking taylor expansion of 1/4 in K 15.114 * [backup-simplify]: Simplify 1/4 into 1/4 15.114 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.114 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.114 * [taylor]: Taking taylor expansion of J in K 15.114 * [backup-simplify]: Simplify J into J 15.114 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.114 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.114 * [taylor]: Taking taylor expansion of U in K 15.114 * [backup-simplify]: Simplify U into U 15.114 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.114 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.115 * [taylor]: Taking taylor expansion of 1/2 in K 15.115 * [backup-simplify]: Simplify 1/2 into 1/2 15.115 * [taylor]: Taking taylor expansion of K in K 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.115 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.115 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.115 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.115 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.116 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.116 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.116 * [taylor]: Taking taylor expansion of 1 in K 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.117 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.117 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.117 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.117 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.118 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.118 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.120 * [backup-simplify]: Simplify (+ 0 0) into 0 15.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.120 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.120 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.120 * [taylor]: Taking taylor expansion of 1/4 in U 15.120 * [backup-simplify]: Simplify 1/4 into 1/4 15.120 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.120 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.120 * [taylor]: Taking taylor expansion of J in U 15.120 * [backup-simplify]: Simplify J into J 15.120 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.120 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.120 * [taylor]: Taking taylor expansion of U in U 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.121 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.121 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.121 * [taylor]: Taking taylor expansion of 1/2 in U 15.121 * [backup-simplify]: Simplify 1/2 into 1/2 15.121 * [taylor]: Taking taylor expansion of K in U 15.121 * [backup-simplify]: Simplify K into K 15.121 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.121 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.121 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.121 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.121 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.122 * [backup-simplify]: Simplify (- 0) into 0 15.122 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.122 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.122 * [backup-simplify]: Simplify (* 1 1) into 1 15.122 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.122 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.123 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.123 * [taylor]: Taking taylor expansion of 1 in U 15.123 * [backup-simplify]: Simplify 1 into 1 15.123 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.123 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.123 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.124 * [backup-simplify]: Simplify (+ 0) into 0 15.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.126 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify (+ 0 0) into 0 15.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.129 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.130 * [backup-simplify]: Simplify (+ 0 0) into 0 15.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.130 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.131 * [taylor]: Taking taylor expansion of 1/4 in U 15.131 * [backup-simplify]: Simplify 1/4 into 1/4 15.131 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.131 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.131 * [taylor]: Taking taylor expansion of J in U 15.131 * [backup-simplify]: Simplify J into J 15.131 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.131 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.131 * [taylor]: Taking taylor expansion of U in U 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify 1 into 1 15.131 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.131 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.131 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.131 * [taylor]: Taking taylor expansion of 1/2 in U 15.131 * [backup-simplify]: Simplify 1/2 into 1/2 15.131 * [taylor]: Taking taylor expansion of K in U 15.131 * [backup-simplify]: Simplify K into K 15.131 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.131 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.131 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.131 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.132 * [backup-simplify]: Simplify (- 0) into 0 15.132 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.132 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.132 * [backup-simplify]: Simplify (* 1 1) into 1 15.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.133 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.133 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.133 * [taylor]: Taking taylor expansion of 1 in U 15.133 * [backup-simplify]: Simplify 1 into 1 15.133 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.134 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.134 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.134 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.135 * [backup-simplify]: Simplify (+ 0) into 0 15.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.137 * [backup-simplify]: Simplify (- 0) into 0 15.137 * [backup-simplify]: Simplify (+ 0 0) into 0 15.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.139 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.140 * [backup-simplify]: Simplify (+ 0 0) into 0 15.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 15.140 * [taylor]: Taking taylor expansion of 1/2 in K 15.140 * [backup-simplify]: Simplify 1/2 into 1/2 15.140 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 15.141 * [taylor]: Taking taylor expansion of J in K 15.141 * [backup-simplify]: Simplify J into J 15.141 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.141 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.141 * [taylor]: Taking taylor expansion of 1/2 in K 15.141 * [backup-simplify]: Simplify 1/2 into 1/2 15.141 * [taylor]: Taking taylor expansion of K in K 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify 1 into 1 15.141 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.141 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.141 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.141 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.142 * [taylor]: Taking taylor expansion of 1/2 in J 15.142 * [backup-simplify]: Simplify 1/2 into 1/2 15.142 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.142 * [taylor]: Taking taylor expansion of J in J 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify 1 into 1 15.142 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.142 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.142 * [taylor]: Taking taylor expansion of 1/2 in J 15.142 * [backup-simplify]: Simplify 1/2 into 1/2 15.142 * [taylor]: Taking taylor expansion of K in J 15.142 * [backup-simplify]: Simplify K into K 15.142 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.142 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.142 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.142 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.143 * [backup-simplify]: Simplify (- 0) into 0 15.143 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.143 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.143 * [taylor]: Taking taylor expansion of 0 in K 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [taylor]: Taking taylor expansion of 0 in J 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.144 * [taylor]: Taking taylor expansion of 0 in J 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.144 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.145 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.148 * [backup-simplify]: Simplify (- 0) into 0 15.148 * [backup-simplify]: Simplify (+ 0 0) into 0 15.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.152 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.153 * [backup-simplify]: Simplify (+ 0 1) into 1 15.154 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.154 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 15.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.154 * [taylor]: Taking taylor expansion of 1/2 in K 15.154 * [backup-simplify]: Simplify 1/2 into 1/2 15.154 * [taylor]: Taking taylor expansion of K in K 15.154 * [backup-simplify]: Simplify 0 into 0 15.154 * [backup-simplify]: Simplify 1 into 1 15.155 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.155 * [taylor]: Taking taylor expansion of J in K 15.155 * [backup-simplify]: Simplify J into J 15.155 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.155 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.155 * [taylor]: Taking taylor expansion of 1/2 in J 15.155 * [backup-simplify]: Simplify 1/2 into 1/2 15.155 * [taylor]: Taking taylor expansion of K in J 15.155 * [backup-simplify]: Simplify K into K 15.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.155 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.155 * [taylor]: Taking taylor expansion of J in J 15.155 * [backup-simplify]: Simplify 0 into 0 15.155 * [backup-simplify]: Simplify 1 into 1 15.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.156 * [backup-simplify]: Simplify (- 0) into 0 15.156 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.156 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.156 * [backup-simplify]: Simplify (+ 0) into 0 15.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.159 * [backup-simplify]: Simplify (- 0) into 0 15.159 * [backup-simplify]: Simplify (+ 0 0) into 0 15.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [taylor]: Taking taylor expansion of 0 in J 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [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 15.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.161 * [taylor]: Taking taylor expansion of 0 in J 15.161 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify (+ 0) into 0 15.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.164 * [backup-simplify]: Simplify (- 0) into 0 15.164 * [backup-simplify]: Simplify (+ 0 0) into 0 15.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.165 * [backup-simplify]: Simplify 0 into 0 15.165 * [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))) 15.166 * [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)))))) 15.166 * [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 15.166 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.166 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.166 * [taylor]: Taking taylor expansion of 1 in J 15.166 * [backup-simplify]: Simplify 1 into 1 15.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.166 * [taylor]: Taking taylor expansion of 1/4 in J 15.166 * [backup-simplify]: Simplify 1/4 into 1/4 15.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.166 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.166 * [taylor]: Taking taylor expansion of J in J 15.166 * [backup-simplify]: Simplify 0 into 0 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.167 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.167 * [taylor]: Taking taylor expansion of -1/2 in J 15.167 * [backup-simplify]: Simplify -1/2 into -1/2 15.167 * [taylor]: Taking taylor expansion of K in J 15.167 * [backup-simplify]: Simplify K into K 15.167 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.167 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.167 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.167 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.167 * [backup-simplify]: Simplify (- 0) into 0 15.168 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.168 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.168 * [taylor]: Taking taylor expansion of U in J 15.168 * [backup-simplify]: Simplify U into U 15.168 * [backup-simplify]: Simplify (* 1 1) into 1 15.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.168 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.168 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.168 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.169 * [backup-simplify]: Simplify (+ 1 0) into 1 15.169 * [backup-simplify]: Simplify (sqrt 1) into 1 15.169 * [backup-simplify]: Simplify (+ 0 0) into 0 15.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.170 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.170 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.170 * [taylor]: Taking taylor expansion of 1 in K 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.170 * [taylor]: Taking taylor expansion of 1/4 in K 15.170 * [backup-simplify]: Simplify 1/4 into 1/4 15.170 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.170 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.170 * [taylor]: Taking taylor expansion of J in K 15.170 * [backup-simplify]: Simplify J into J 15.170 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.170 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.170 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.170 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.170 * [taylor]: Taking taylor expansion of -1/2 in K 15.170 * [backup-simplify]: Simplify -1/2 into -1/2 15.170 * [taylor]: Taking taylor expansion of K in K 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.171 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.171 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.171 * [taylor]: Taking taylor expansion of U in K 15.171 * [backup-simplify]: Simplify U into U 15.171 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.171 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.171 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.171 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.171 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.171 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.172 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.172 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.172 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.172 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.172 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.173 * [backup-simplify]: Simplify (+ 0 0) into 0 15.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.173 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.173 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.173 * [taylor]: Taking taylor expansion of 1 in U 15.173 * [backup-simplify]: Simplify 1 into 1 15.173 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.173 * [taylor]: Taking taylor expansion of 1/4 in U 15.173 * [backup-simplify]: Simplify 1/4 into 1/4 15.173 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.173 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.173 * [taylor]: Taking taylor expansion of J in U 15.173 * [backup-simplify]: Simplify J into J 15.173 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.173 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.173 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.173 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.173 * [taylor]: Taking taylor expansion of -1/2 in U 15.174 * [backup-simplify]: Simplify -1/2 into -1/2 15.174 * [taylor]: Taking taylor expansion of K in U 15.174 * [backup-simplify]: Simplify K into K 15.174 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.174 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.174 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.174 * [backup-simplify]: Simplify (- 0) into 0 15.174 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.174 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.174 * [taylor]: Taking taylor expansion of U in U 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify 1 into 1 15.174 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.174 * [backup-simplify]: Simplify (* 1 1) into 1 15.175 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.175 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.175 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.175 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.175 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.175 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.176 * [backup-simplify]: Simplify (+ 0) into 0 15.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.177 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.177 * [backup-simplify]: Simplify (- 0) into 0 15.177 * [backup-simplify]: Simplify (+ 0 0) into 0 15.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.178 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.178 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.179 * [backup-simplify]: Simplify (+ 0 0) into 0 15.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.179 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.179 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.179 * [taylor]: Taking taylor expansion of 1 in U 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.179 * [taylor]: Taking taylor expansion of 1/4 in U 15.179 * [backup-simplify]: Simplify 1/4 into 1/4 15.179 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.179 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.179 * [taylor]: Taking taylor expansion of J in U 15.179 * [backup-simplify]: Simplify J into J 15.179 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.179 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.179 * [taylor]: Taking taylor expansion of -1/2 in U 15.179 * [backup-simplify]: Simplify -1/2 into -1/2 15.179 * [taylor]: Taking taylor expansion of K in U 15.179 * [backup-simplify]: Simplify K into K 15.179 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.179 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.179 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.179 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.179 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.180 * [backup-simplify]: Simplify (- 0) into 0 15.180 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.180 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.180 * [taylor]: Taking taylor expansion of U in U 15.180 * [backup-simplify]: Simplify 0 into 0 15.180 * [backup-simplify]: Simplify 1 into 1 15.180 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.180 * [backup-simplify]: Simplify (* 1 1) into 1 15.180 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.180 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.180 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.181 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.181 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.181 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.181 * [backup-simplify]: Simplify (+ 0) into 0 15.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.183 * [backup-simplify]: Simplify (- 0) into 0 15.183 * [backup-simplify]: Simplify (+ 0 0) into 0 15.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.183 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.184 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.184 * [backup-simplify]: Simplify (+ 0 0) into 0 15.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 15.185 * [taylor]: Taking taylor expansion of 1/2 in K 15.185 * [backup-simplify]: Simplify 1/2 into 1/2 15.185 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 15.185 * [taylor]: Taking taylor expansion of J in K 15.185 * [backup-simplify]: Simplify J into J 15.185 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.185 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.185 * [taylor]: Taking taylor expansion of -1/2 in K 15.185 * [backup-simplify]: Simplify -1/2 into -1/2 15.185 * [taylor]: Taking taylor expansion of K in K 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify 1 into 1 15.185 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.185 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.185 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.185 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.185 * [taylor]: Taking taylor expansion of 1/2 in J 15.185 * [backup-simplify]: Simplify 1/2 into 1/2 15.185 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.185 * [taylor]: Taking taylor expansion of J in J 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify 1 into 1 15.185 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.185 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.185 * [taylor]: Taking taylor expansion of -1/2 in J 15.185 * [backup-simplify]: Simplify -1/2 into -1/2 15.185 * [taylor]: Taking taylor expansion of K in J 15.185 * [backup-simplify]: Simplify K into K 15.185 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.185 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.186 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.186 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.186 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.186 * [backup-simplify]: Simplify (- 0) into 0 15.186 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.186 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.186 * [taylor]: Taking taylor expansion of 0 in K 15.186 * [backup-simplify]: Simplify 0 into 0 15.186 * [taylor]: Taking taylor expansion of 0 in J 15.186 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.187 * [taylor]: Taking taylor expansion of 0 in J 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.187 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.187 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.190 * [backup-simplify]: Simplify (- 0) into 0 15.190 * [backup-simplify]: Simplify (+ 0 0) into 0 15.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.191 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.191 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.192 * [backup-simplify]: Simplify (+ 1 0) into 1 15.193 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.193 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 15.193 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.193 * [taylor]: Taking taylor expansion of -1/2 in K 15.193 * [backup-simplify]: Simplify -1/2 into -1/2 15.193 * [taylor]: Taking taylor expansion of K in K 15.193 * [backup-simplify]: Simplify 0 into 0 15.193 * [backup-simplify]: Simplify 1 into 1 15.193 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.193 * [taylor]: Taking taylor expansion of J in K 15.193 * [backup-simplify]: Simplify J into J 15.193 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.193 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.193 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.193 * [taylor]: Taking taylor expansion of -1/2 in J 15.193 * [backup-simplify]: Simplify -1/2 into -1/2 15.193 * [taylor]: Taking taylor expansion of K in J 15.193 * [backup-simplify]: Simplify K into K 15.193 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.193 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.193 * [taylor]: Taking taylor expansion of J in J 15.193 * [backup-simplify]: Simplify 0 into 0 15.193 * [backup-simplify]: Simplify 1 into 1 15.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.194 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.194 * [backup-simplify]: Simplify (- 0) into 0 15.194 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.194 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.194 * [backup-simplify]: Simplify (+ 0) into 0 15.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.196 * [backup-simplify]: Simplify (- 0) into 0 15.196 * [backup-simplify]: Simplify (+ 0 0) into 0 15.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [taylor]: Taking taylor expansion of 0 in J 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify 0 into 0 15.197 * [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 15.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.197 * [taylor]: Taking taylor expansion of 0 in J 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify (+ 0) into 0 15.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.199 * [backup-simplify]: Simplify (- 0) into 0 15.199 * [backup-simplify]: Simplify (+ 0 0) into 0 15.199 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [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))) 15.200 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 2) 15.200 * [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)) 15.200 * [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 15.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.200 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.200 * [taylor]: Taking taylor expansion of 1/4 in J 15.200 * [backup-simplify]: Simplify 1/4 into 1/4 15.200 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.200 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.200 * [taylor]: Taking taylor expansion of U in J 15.200 * [backup-simplify]: Simplify U into U 15.200 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.200 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.200 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.200 * [taylor]: Taking taylor expansion of 1/2 in J 15.200 * [backup-simplify]: Simplify 1/2 into 1/2 15.200 * [taylor]: Taking taylor expansion of K in J 15.200 * [backup-simplify]: Simplify K into K 15.201 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.201 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.201 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.201 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.201 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.201 * [backup-simplify]: Simplify (- 0) into 0 15.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.201 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.201 * [taylor]: Taking taylor expansion of J in J 15.201 * [backup-simplify]: Simplify 0 into 0 15.201 * [backup-simplify]: Simplify 1 into 1 15.201 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.202 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.202 * [backup-simplify]: Simplify (* 1 1) into 1 15.202 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.202 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.202 * [taylor]: Taking taylor expansion of 1 in J 15.202 * [backup-simplify]: Simplify 1 into 1 15.202 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.203 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.203 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.203 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.204 * [backup-simplify]: Simplify (+ 0) into 0 15.205 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.206 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.207 * [backup-simplify]: Simplify (- 0) into 0 15.207 * [backup-simplify]: Simplify (+ 0 0) into 0 15.207 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.208 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.208 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.209 * [backup-simplify]: Simplify (+ 0 0) into 0 15.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.209 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.209 * [taylor]: Taking taylor expansion of 1/4 in K 15.209 * [backup-simplify]: Simplify 1/4 into 1/4 15.209 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.209 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.210 * [taylor]: Taking taylor expansion of U in K 15.210 * [backup-simplify]: Simplify U into U 15.210 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.210 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.210 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.210 * [taylor]: Taking taylor expansion of 1/2 in K 15.210 * [backup-simplify]: Simplify 1/2 into 1/2 15.210 * [taylor]: Taking taylor expansion of K in K 15.210 * [backup-simplify]: Simplify 0 into 0 15.210 * [backup-simplify]: Simplify 1 into 1 15.210 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.211 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.211 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.211 * [taylor]: Taking taylor expansion of J in K 15.211 * [backup-simplify]: Simplify J into J 15.211 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.211 * [backup-simplify]: Simplify (* 1 1) into 1 15.211 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.212 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.212 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.212 * [taylor]: Taking taylor expansion of 1 in K 15.212 * [backup-simplify]: Simplify 1 into 1 15.212 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.212 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.212 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.212 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.213 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.213 * [backup-simplify]: Simplify (+ 0) into 0 15.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.214 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.215 * [backup-simplify]: Simplify (+ 0 0) into 0 15.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.216 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.216 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.216 * [taylor]: Taking taylor expansion of 1/4 in U 15.216 * [backup-simplify]: Simplify 1/4 into 1/4 15.216 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.216 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.216 * [taylor]: Taking taylor expansion of U in U 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 1 into 1 15.216 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.216 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.216 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.216 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.216 * [taylor]: Taking taylor expansion of 1/2 in U 15.216 * [backup-simplify]: Simplify 1/2 into 1/2 15.216 * [taylor]: Taking taylor expansion of K in U 15.216 * [backup-simplify]: Simplify K into K 15.216 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.216 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.216 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.216 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.217 * [backup-simplify]: Simplify (- 0) into 0 15.217 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.217 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.217 * [taylor]: Taking taylor expansion of J in U 15.217 * [backup-simplify]: Simplify J into J 15.217 * [backup-simplify]: Simplify (* 1 1) into 1 15.218 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.218 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.218 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.218 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.218 * [taylor]: Taking taylor expansion of 1 in U 15.218 * [backup-simplify]: Simplify 1 into 1 15.218 * [backup-simplify]: Simplify (+ 0 1) into 1 15.219 * [backup-simplify]: Simplify (sqrt 1) into 1 15.219 * [backup-simplify]: Simplify (+ 0 0) into 0 15.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.220 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.220 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.220 * [taylor]: Taking taylor expansion of 1/4 in U 15.220 * [backup-simplify]: Simplify 1/4 into 1/4 15.220 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.220 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.220 * [taylor]: Taking taylor expansion of U in U 15.220 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify 1 into 1 15.221 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.221 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.221 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.221 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.221 * [taylor]: Taking taylor expansion of 1/2 in U 15.221 * [backup-simplify]: Simplify 1/2 into 1/2 15.221 * [taylor]: Taking taylor expansion of K in U 15.221 * [backup-simplify]: Simplify K into K 15.221 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.221 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.221 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.221 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.221 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.221 * [backup-simplify]: Simplify (- 0) into 0 15.222 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.222 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.222 * [taylor]: Taking taylor expansion of J in U 15.222 * [backup-simplify]: Simplify J into J 15.222 * [backup-simplify]: Simplify (* 1 1) into 1 15.222 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.222 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.222 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.223 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.223 * [taylor]: Taking taylor expansion of 1 in U 15.223 * [backup-simplify]: Simplify 1 into 1 15.223 * [backup-simplify]: Simplify (+ 0 1) into 1 15.223 * [backup-simplify]: Simplify (sqrt 1) into 1 15.224 * [backup-simplify]: Simplify (+ 0 0) into 0 15.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.225 * [taylor]: Taking taylor expansion of 1 in K 15.225 * [backup-simplify]: Simplify 1 into 1 15.225 * [taylor]: Taking taylor expansion of 1 in J 15.225 * [backup-simplify]: Simplify 1 into 1 15.225 * [taylor]: Taking taylor expansion of 0 in K 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in J 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in J 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 1 into 1 15.225 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.225 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.227 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.227 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.227 * [taylor]: Taking taylor expansion of 1/8 in K 15.227 * [backup-simplify]: Simplify 1/8 into 1/8 15.227 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.227 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.227 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.227 * [taylor]: Taking taylor expansion of 1/2 in K 15.227 * [backup-simplify]: Simplify 1/2 into 1/2 15.227 * [taylor]: Taking taylor expansion of K in K 15.227 * [backup-simplify]: Simplify 0 into 0 15.227 * [backup-simplify]: Simplify 1 into 1 15.228 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.229 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.229 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.229 * [taylor]: Taking taylor expansion of J in K 15.229 * [backup-simplify]: Simplify J into J 15.229 * [backup-simplify]: Simplify (* 1 1) into 1 15.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.229 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.229 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 15.229 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 15.229 * [taylor]: Taking taylor expansion of 1/8 in J 15.229 * [backup-simplify]: Simplify 1/8 into 1/8 15.229 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.229 * [taylor]: Taking taylor expansion of J in J 15.230 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify 1 into 1 15.234 * [backup-simplify]: Simplify (* 1 1) into 1 15.235 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [taylor]: Taking taylor expansion of 0 in J 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [taylor]: Taking taylor expansion of 0 in J 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.237 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.238 * [backup-simplify]: Simplify (+ 0) into 0 15.238 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.240 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.240 * [backup-simplify]: Simplify (- 0) into 0 15.241 * [backup-simplify]: Simplify (+ 0 0) into 0 15.241 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.241 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.242 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.243 * [backup-simplify]: Simplify (+ 0 0) into 0 15.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.243 * [taylor]: Taking taylor expansion of 0 in K 15.244 * [backup-simplify]: Simplify 0 into 0 15.244 * [taylor]: Taking taylor expansion of 0 in J 15.244 * [backup-simplify]: Simplify 0 into 0 15.244 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.244 * [backup-simplify]: Simplify (+ 0) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.245 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 15.246 * [taylor]: Taking taylor expansion of 0 in J 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [taylor]: Taking taylor expansion of 0 in J 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [taylor]: Taking taylor expansion of 0 in J 15.246 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.248 * [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)) 15.248 * [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 15.248 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.248 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.248 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.248 * [taylor]: Taking taylor expansion of 1/4 in J 15.248 * [backup-simplify]: Simplify 1/4 into 1/4 15.249 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.249 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.249 * [taylor]: Taking taylor expansion of J in J 15.249 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify 1 into 1 15.249 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.249 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.249 * [taylor]: Taking taylor expansion of U in J 15.249 * [backup-simplify]: Simplify U into U 15.249 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.249 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.249 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.249 * [taylor]: Taking taylor expansion of 1/2 in J 15.249 * [backup-simplify]: Simplify 1/2 into 1/2 15.249 * [taylor]: Taking taylor expansion of K in J 15.249 * [backup-simplify]: Simplify K into K 15.249 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.249 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.249 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.250 * [backup-simplify]: Simplify (- 0) into 0 15.250 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.250 * [backup-simplify]: Simplify (* 1 1) into 1 15.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.251 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.251 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.251 * [taylor]: Taking taylor expansion of 1 in J 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (+ 0 1) into 1 15.252 * [backup-simplify]: Simplify (sqrt 1) into 1 15.252 * [backup-simplify]: Simplify (+ 0 0) into 0 15.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.253 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.253 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.253 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.253 * [taylor]: Taking taylor expansion of 1/4 in K 15.253 * [backup-simplify]: Simplify 1/4 into 1/4 15.253 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.253 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.253 * [taylor]: Taking taylor expansion of J in K 15.253 * [backup-simplify]: Simplify J into J 15.253 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.253 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.253 * [taylor]: Taking taylor expansion of U in K 15.253 * [backup-simplify]: Simplify U into U 15.253 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.253 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.253 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.253 * [taylor]: Taking taylor expansion of 1/2 in K 15.253 * [backup-simplify]: Simplify 1/2 into 1/2 15.253 * [taylor]: Taking taylor expansion of K in K 15.253 * [backup-simplify]: Simplify 0 into 0 15.253 * [backup-simplify]: Simplify 1 into 1 15.254 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.254 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.254 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.254 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.254 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.254 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.254 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.254 * [taylor]: Taking taylor expansion of 1 in K 15.254 * [backup-simplify]: Simplify 1 into 1 15.255 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.255 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.255 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.256 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.256 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.256 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.257 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.258 * [backup-simplify]: Simplify (+ 0 0) into 0 15.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.258 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.258 * [taylor]: Taking taylor expansion of 1/4 in U 15.258 * [backup-simplify]: Simplify 1/4 into 1/4 15.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.258 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.258 * [taylor]: Taking taylor expansion of J in U 15.258 * [backup-simplify]: Simplify J into J 15.258 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.259 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.259 * [taylor]: Taking taylor expansion of U in U 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 1 into 1 15.259 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.259 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.259 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.259 * [taylor]: Taking taylor expansion of 1/2 in U 15.259 * [backup-simplify]: Simplify 1/2 into 1/2 15.259 * [taylor]: Taking taylor expansion of K in U 15.259 * [backup-simplify]: Simplify K into K 15.259 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.259 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.259 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.259 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.259 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.260 * [backup-simplify]: Simplify (- 0) into 0 15.260 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.260 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.260 * [backup-simplify]: Simplify (* 1 1) into 1 15.260 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.260 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.260 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.260 * [taylor]: Taking taylor expansion of 1 in U 15.261 * [backup-simplify]: Simplify 1 into 1 15.261 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.261 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.261 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.261 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.262 * [backup-simplify]: Simplify (+ 0) into 0 15.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.264 * [backup-simplify]: Simplify (- 0) into 0 15.264 * [backup-simplify]: Simplify (+ 0 0) into 0 15.264 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.266 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.267 * [backup-simplify]: Simplify (+ 0 0) into 0 15.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.267 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.267 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.267 * [taylor]: Taking taylor expansion of 1/4 in U 15.268 * [backup-simplify]: Simplify 1/4 into 1/4 15.268 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.268 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.268 * [taylor]: Taking taylor expansion of J in U 15.268 * [backup-simplify]: Simplify J into J 15.268 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.268 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.268 * [taylor]: Taking taylor expansion of U in U 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 1 into 1 15.268 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.268 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.268 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.268 * [taylor]: Taking taylor expansion of 1/2 in U 15.268 * [backup-simplify]: Simplify 1/2 into 1/2 15.268 * [taylor]: Taking taylor expansion of K in U 15.268 * [backup-simplify]: Simplify K into K 15.268 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.268 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.268 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.268 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.268 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.269 * [backup-simplify]: Simplify (- 0) into 0 15.269 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.270 * [backup-simplify]: Simplify (* 1 1) into 1 15.270 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.270 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.270 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.270 * [taylor]: Taking taylor expansion of 1 in U 15.270 * [backup-simplify]: Simplify 1 into 1 15.270 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.271 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.271 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.271 * [backup-simplify]: Simplify (+ 0) into 0 15.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.274 * [backup-simplify]: Simplify (- 0) into 0 15.274 * [backup-simplify]: Simplify (+ 0 0) into 0 15.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.276 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.277 * [backup-simplify]: Simplify (+ 0 0) into 0 15.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 15.278 * [taylor]: Taking taylor expansion of 1/2 in K 15.278 * [backup-simplify]: Simplify 1/2 into 1/2 15.278 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 15.278 * [taylor]: Taking taylor expansion of J in K 15.278 * [backup-simplify]: Simplify J into J 15.278 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.278 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.278 * [taylor]: Taking taylor expansion of 1/2 in K 15.278 * [backup-simplify]: Simplify 1/2 into 1/2 15.278 * [taylor]: Taking taylor expansion of K in K 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 1 into 1 15.279 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.279 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.279 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.279 * [taylor]: Taking taylor expansion of 1/2 in J 15.279 * [backup-simplify]: Simplify 1/2 into 1/2 15.279 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.279 * [taylor]: Taking taylor expansion of J in J 15.279 * [backup-simplify]: Simplify 0 into 0 15.279 * [backup-simplify]: Simplify 1 into 1 15.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.279 * [taylor]: Taking taylor expansion of 1/2 in J 15.279 * [backup-simplify]: Simplify 1/2 into 1/2 15.279 * [taylor]: Taking taylor expansion of K in J 15.279 * [backup-simplify]: Simplify K into K 15.279 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.280 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.280 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.280 * [backup-simplify]: Simplify (- 0) into 0 15.280 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.280 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.280 * [taylor]: Taking taylor expansion of 0 in K 15.280 * [backup-simplify]: Simplify 0 into 0 15.280 * [taylor]: Taking taylor expansion of 0 in J 15.280 * [backup-simplify]: Simplify 0 into 0 15.280 * [backup-simplify]: Simplify 0 into 0 15.281 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.281 * [taylor]: Taking taylor expansion of 0 in J 15.281 * [backup-simplify]: Simplify 0 into 0 15.281 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.282 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.282 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.286 * [backup-simplify]: Simplify (- 0) into 0 15.286 * [backup-simplify]: Simplify (+ 0 0) into 0 15.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.289 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.290 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.291 * [backup-simplify]: Simplify (+ 0 1) into 1 15.292 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.292 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 15.292 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.292 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.292 * [taylor]: Taking taylor expansion of 1/2 in K 15.292 * [backup-simplify]: Simplify 1/2 into 1/2 15.292 * [taylor]: Taking taylor expansion of K in K 15.292 * [backup-simplify]: Simplify 0 into 0 15.292 * [backup-simplify]: Simplify 1 into 1 15.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.292 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.292 * [taylor]: Taking taylor expansion of J in K 15.292 * [backup-simplify]: Simplify J into J 15.293 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.293 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.293 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.293 * [taylor]: Taking taylor expansion of 1/2 in J 15.293 * [backup-simplify]: Simplify 1/2 into 1/2 15.293 * [taylor]: Taking taylor expansion of K in J 15.293 * [backup-simplify]: Simplify K into K 15.293 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.293 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.293 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.293 * [taylor]: Taking taylor expansion of J in J 15.293 * [backup-simplify]: Simplify 0 into 0 15.293 * [backup-simplify]: Simplify 1 into 1 15.293 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.293 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.294 * [backup-simplify]: Simplify (- 0) into 0 15.294 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.294 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.294 * [backup-simplify]: Simplify (+ 0) into 0 15.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.296 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.296 * [backup-simplify]: Simplify (- 0) into 0 15.297 * [backup-simplify]: Simplify (+ 0 0) into 0 15.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.298 * [backup-simplify]: Simplify 0 into 0 15.298 * [taylor]: Taking taylor expansion of 0 in J 15.298 * [backup-simplify]: Simplify 0 into 0 15.298 * [backup-simplify]: Simplify 0 into 0 15.298 * [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 15.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.299 * [taylor]: Taking taylor expansion of 0 in J 15.299 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify (+ 0) into 0 15.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.302 * [backup-simplify]: Simplify (- 0) into 0 15.303 * [backup-simplify]: Simplify (+ 0 0) into 0 15.303 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [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))) 15.305 * [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)))))) 15.305 * [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 15.305 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.305 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.305 * [taylor]: Taking taylor expansion of 1 in J 15.305 * [backup-simplify]: Simplify 1 into 1 15.305 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.305 * [taylor]: Taking taylor expansion of 1/4 in J 15.305 * [backup-simplify]: Simplify 1/4 into 1/4 15.305 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.305 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.305 * [taylor]: Taking taylor expansion of J in J 15.305 * [backup-simplify]: Simplify 0 into 0 15.305 * [backup-simplify]: Simplify 1 into 1 15.305 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.305 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.305 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.305 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.305 * [taylor]: Taking taylor expansion of -1/2 in J 15.305 * [backup-simplify]: Simplify -1/2 into -1/2 15.305 * [taylor]: Taking taylor expansion of K in J 15.305 * [backup-simplify]: Simplify K into K 15.305 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.305 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.306 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.306 * [backup-simplify]: Simplify (- 0) into 0 15.306 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.306 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.306 * [taylor]: Taking taylor expansion of U in J 15.306 * [backup-simplify]: Simplify U into U 15.306 * [backup-simplify]: Simplify (* 1 1) into 1 15.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.307 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.307 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.307 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.307 * [backup-simplify]: Simplify (+ 1 0) into 1 15.308 * [backup-simplify]: Simplify (sqrt 1) into 1 15.308 * [backup-simplify]: Simplify (+ 0 0) into 0 15.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.309 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.309 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.309 * [taylor]: Taking taylor expansion of 1 in K 15.309 * [backup-simplify]: Simplify 1 into 1 15.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.309 * [taylor]: Taking taylor expansion of 1/4 in K 15.309 * [backup-simplify]: Simplify 1/4 into 1/4 15.309 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.309 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.309 * [taylor]: Taking taylor expansion of J in K 15.309 * [backup-simplify]: Simplify J into J 15.309 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.309 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.309 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.309 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.309 * [taylor]: Taking taylor expansion of -1/2 in K 15.309 * [backup-simplify]: Simplify -1/2 into -1/2 15.309 * [taylor]: Taking taylor expansion of K in K 15.309 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify 1 into 1 15.310 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.310 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.310 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.310 * [taylor]: Taking taylor expansion of U in K 15.310 * [backup-simplify]: Simplify U into U 15.310 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.310 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.310 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.311 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.311 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.311 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.311 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.312 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.312 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.312 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.313 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.314 * [backup-simplify]: Simplify (+ 0 0) into 0 15.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.315 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.315 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.315 * [taylor]: Taking taylor expansion of 1 in U 15.315 * [backup-simplify]: Simplify 1 into 1 15.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.315 * [taylor]: Taking taylor expansion of 1/4 in U 15.315 * [backup-simplify]: Simplify 1/4 into 1/4 15.315 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.315 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.315 * [taylor]: Taking taylor expansion of J in U 15.315 * [backup-simplify]: Simplify J into J 15.315 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.315 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.315 * [taylor]: Taking taylor expansion of -1/2 in U 15.315 * [backup-simplify]: Simplify -1/2 into -1/2 15.315 * [taylor]: Taking taylor expansion of K in U 15.315 * [backup-simplify]: Simplify K into K 15.315 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.315 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.315 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.316 * [backup-simplify]: Simplify (- 0) into 0 15.316 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.316 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.316 * [taylor]: Taking taylor expansion of U in U 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [backup-simplify]: Simplify 1 into 1 15.316 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.317 * [backup-simplify]: Simplify (* 1 1) into 1 15.317 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.317 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.317 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.318 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.318 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.318 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.319 * [backup-simplify]: Simplify (+ 0) into 0 15.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.321 * [backup-simplify]: Simplify (- 0) into 0 15.322 * [backup-simplify]: Simplify (+ 0 0) into 0 15.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.322 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.323 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.324 * [backup-simplify]: Simplify (+ 0 0) into 0 15.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.324 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.324 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.324 * [taylor]: Taking taylor expansion of 1 in U 15.324 * [backup-simplify]: Simplify 1 into 1 15.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.324 * [taylor]: Taking taylor expansion of 1/4 in U 15.324 * [backup-simplify]: Simplify 1/4 into 1/4 15.324 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.324 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.324 * [taylor]: Taking taylor expansion of J in U 15.324 * [backup-simplify]: Simplify J into J 15.324 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.324 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.325 * [taylor]: Taking taylor expansion of -1/2 in U 15.325 * [backup-simplify]: Simplify -1/2 into -1/2 15.325 * [taylor]: Taking taylor expansion of K in U 15.325 * [backup-simplify]: Simplify K into K 15.325 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.325 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.325 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.325 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.325 * [backup-simplify]: Simplify (- 0) into 0 15.326 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.326 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.326 * [taylor]: Taking taylor expansion of U in U 15.326 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify 1 into 1 15.326 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.326 * [backup-simplify]: Simplify (* 1 1) into 1 15.326 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.327 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.327 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.327 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.327 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.327 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.328 * [backup-simplify]: Simplify (+ 0) into 0 15.329 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.329 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.335 * [backup-simplify]: Simplify (- 0) into 0 15.335 * [backup-simplify]: Simplify (+ 0 0) into 0 15.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.336 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.336 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.337 * [backup-simplify]: Simplify (+ 0 0) into 0 15.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 15.338 * [taylor]: Taking taylor expansion of 1/2 in K 15.338 * [backup-simplify]: Simplify 1/2 into 1/2 15.338 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 15.338 * [taylor]: Taking taylor expansion of J in K 15.338 * [backup-simplify]: Simplify J into J 15.338 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.338 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.338 * [taylor]: Taking taylor expansion of -1/2 in K 15.338 * [backup-simplify]: Simplify -1/2 into -1/2 15.338 * [taylor]: Taking taylor expansion of K in K 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 1 into 1 15.338 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.338 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.339 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.339 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.339 * [taylor]: Taking taylor expansion of 1/2 in J 15.339 * [backup-simplify]: Simplify 1/2 into 1/2 15.339 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.339 * [taylor]: Taking taylor expansion of J in J 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify 1 into 1 15.339 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.339 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.339 * [taylor]: Taking taylor expansion of -1/2 in J 15.339 * [backup-simplify]: Simplify -1/2 into -1/2 15.339 * [taylor]: Taking taylor expansion of K in J 15.339 * [backup-simplify]: Simplify K into K 15.339 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.339 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.339 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.339 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.339 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.340 * [backup-simplify]: Simplify (- 0) into 0 15.340 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.340 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.340 * [taylor]: Taking taylor expansion of 0 in K 15.340 * [backup-simplify]: Simplify 0 into 0 15.340 * [taylor]: Taking taylor expansion of 0 in J 15.340 * [backup-simplify]: Simplify 0 into 0 15.340 * [backup-simplify]: Simplify 0 into 0 15.340 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.341 * [taylor]: Taking taylor expansion of 0 in J 15.341 * [backup-simplify]: Simplify 0 into 0 15.341 * [backup-simplify]: Simplify 0 into 0 15.341 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.341 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.342 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.346 * [backup-simplify]: Simplify (- 0) into 0 15.347 * [backup-simplify]: Simplify (+ 0 0) into 0 15.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.348 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.348 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.350 * [backup-simplify]: Simplify (+ 1 0) into 1 15.351 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.351 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 15.351 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.351 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.351 * [taylor]: Taking taylor expansion of -1/2 in K 15.352 * [backup-simplify]: Simplify -1/2 into -1/2 15.352 * [taylor]: Taking taylor expansion of K in K 15.352 * [backup-simplify]: Simplify 0 into 0 15.352 * [backup-simplify]: Simplify 1 into 1 15.352 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.352 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.352 * [taylor]: Taking taylor expansion of J in K 15.352 * [backup-simplify]: Simplify J into J 15.352 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.352 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.352 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.352 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.352 * [taylor]: Taking taylor expansion of -1/2 in J 15.352 * [backup-simplify]: Simplify -1/2 into -1/2 15.352 * [taylor]: Taking taylor expansion of K in J 15.352 * [backup-simplify]: Simplify K into K 15.353 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.353 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.353 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.353 * [taylor]: Taking taylor expansion of J in J 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 1 into 1 15.353 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.353 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.353 * [backup-simplify]: Simplify (- 0) into 0 15.353 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.353 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.353 * [backup-simplify]: Simplify (+ 0) into 0 15.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.355 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.355 * [backup-simplify]: Simplify (- 0) into 0 15.355 * [backup-simplify]: Simplify (+ 0 0) into 0 15.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.356 * [backup-simplify]: Simplify 0 into 0 15.356 * [taylor]: Taking taylor expansion of 0 in J 15.356 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify 0 into 0 15.356 * [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 15.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.357 * [taylor]: Taking taylor expansion of 0 in J 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify (+ 0) into 0 15.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.357 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.358 * [backup-simplify]: Simplify (- 0) into 0 15.359 * [backup-simplify]: Simplify (+ 0 0) into 0 15.359 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.359 * [backup-simplify]: Simplify 0 into 0 15.359 * [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))) 15.359 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 15.360 * [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)) 15.360 * [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 15.360 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.360 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.360 * [taylor]: Taking taylor expansion of 1/4 in J 15.360 * [backup-simplify]: Simplify 1/4 into 1/4 15.360 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.360 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.360 * [taylor]: Taking taylor expansion of U in J 15.360 * [backup-simplify]: Simplify U into U 15.360 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.360 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.360 * [taylor]: Taking taylor expansion of 1/2 in J 15.360 * [backup-simplify]: Simplify 1/2 into 1/2 15.360 * [taylor]: Taking taylor expansion of K in J 15.360 * [backup-simplify]: Simplify K into K 15.360 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.360 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.360 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.360 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.360 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.360 * [backup-simplify]: Simplify (- 0) into 0 15.360 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.360 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.360 * [taylor]: Taking taylor expansion of J in J 15.360 * [backup-simplify]: Simplify 0 into 0 15.360 * [backup-simplify]: Simplify 1 into 1 15.361 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.361 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.361 * [backup-simplify]: Simplify (* 1 1) into 1 15.361 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.361 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.361 * [taylor]: Taking taylor expansion of 1 in J 15.361 * [backup-simplify]: Simplify 1 into 1 15.361 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.361 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.362 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.362 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.362 * [backup-simplify]: Simplify (+ 0) into 0 15.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.364 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.364 * [backup-simplify]: Simplify (- 0) into 0 15.364 * [backup-simplify]: Simplify (+ 0 0) into 0 15.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.365 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.365 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.365 * [backup-simplify]: Simplify (+ 0 0) into 0 15.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.366 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.366 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.366 * [taylor]: Taking taylor expansion of 1/4 in K 15.366 * [backup-simplify]: Simplify 1/4 into 1/4 15.366 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.366 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.366 * [taylor]: Taking taylor expansion of U in K 15.366 * [backup-simplify]: Simplify U into U 15.366 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.366 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.366 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.366 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.366 * [taylor]: Taking taylor expansion of 1/2 in K 15.366 * [backup-simplify]: Simplify 1/2 into 1/2 15.366 * [taylor]: Taking taylor expansion of K in K 15.366 * [backup-simplify]: Simplify 0 into 0 15.366 * [backup-simplify]: Simplify 1 into 1 15.366 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.367 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.367 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.367 * [taylor]: Taking taylor expansion of J in K 15.367 * [backup-simplify]: Simplify J into J 15.367 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.367 * [backup-simplify]: Simplify (* 1 1) into 1 15.367 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.367 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.367 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.367 * [taylor]: Taking taylor expansion of 1 in K 15.367 * [backup-simplify]: Simplify 1 into 1 15.367 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.367 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.368 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.368 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.368 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.368 * [backup-simplify]: Simplify (+ 0) into 0 15.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.369 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.370 * [backup-simplify]: Simplify (+ 0 0) into 0 15.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.370 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.370 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.370 * [taylor]: Taking taylor expansion of 1/4 in U 15.370 * [backup-simplify]: Simplify 1/4 into 1/4 15.370 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.370 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.370 * [taylor]: Taking taylor expansion of U in U 15.370 * [backup-simplify]: Simplify 0 into 0 15.370 * [backup-simplify]: Simplify 1 into 1 15.370 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.370 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.370 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.370 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.370 * [taylor]: Taking taylor expansion of 1/2 in U 15.370 * [backup-simplify]: Simplify 1/2 into 1/2 15.370 * [taylor]: Taking taylor expansion of K in U 15.370 * [backup-simplify]: Simplify K into K 15.370 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.370 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.370 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.370 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.371 * [backup-simplify]: Simplify (- 0) into 0 15.371 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.371 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.371 * [taylor]: Taking taylor expansion of J in U 15.371 * [backup-simplify]: Simplify J into J 15.371 * [backup-simplify]: Simplify (* 1 1) into 1 15.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.371 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.371 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.371 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.371 * [taylor]: Taking taylor expansion of 1 in U 15.371 * [backup-simplify]: Simplify 1 into 1 15.372 * [backup-simplify]: Simplify (+ 0 1) into 1 15.372 * [backup-simplify]: Simplify (sqrt 1) into 1 15.372 * [backup-simplify]: Simplify (+ 0 0) into 0 15.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.373 * [taylor]: Taking taylor expansion of 1/4 in U 15.373 * [backup-simplify]: Simplify 1/4 into 1/4 15.373 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.373 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.373 * [taylor]: Taking taylor expansion of U in U 15.373 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify 1 into 1 15.373 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.373 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.373 * [taylor]: Taking taylor expansion of 1/2 in U 15.373 * [backup-simplify]: Simplify 1/2 into 1/2 15.373 * [taylor]: Taking taylor expansion of K in U 15.373 * [backup-simplify]: Simplify K into K 15.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.373 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.373 * [backup-simplify]: Simplify (- 0) into 0 15.373 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.373 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.373 * [taylor]: Taking taylor expansion of J in U 15.373 * [backup-simplify]: Simplify J into J 15.374 * [backup-simplify]: Simplify (* 1 1) into 1 15.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.374 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.374 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.374 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.374 * [taylor]: Taking taylor expansion of 1 in U 15.374 * [backup-simplify]: Simplify 1 into 1 15.374 * [backup-simplify]: Simplify (+ 0 1) into 1 15.378 * [backup-simplify]: Simplify (sqrt 1) into 1 15.379 * [backup-simplify]: Simplify (+ 0 0) into 0 15.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.379 * [taylor]: Taking taylor expansion of 1 in K 15.379 * [backup-simplify]: Simplify 1 into 1 15.379 * [taylor]: Taking taylor expansion of 1 in J 15.379 * [backup-simplify]: Simplify 1 into 1 15.379 * [taylor]: Taking taylor expansion of 0 in K 15.380 * [backup-simplify]: Simplify 0 into 0 15.380 * [taylor]: Taking taylor expansion of 0 in J 15.380 * [backup-simplify]: Simplify 0 into 0 15.380 * [taylor]: Taking taylor expansion of 0 in J 15.380 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify 1 into 1 15.380 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.380 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.381 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.381 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.381 * [taylor]: Taking taylor expansion of 1/8 in K 15.381 * [backup-simplify]: Simplify 1/8 into 1/8 15.381 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.381 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.381 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.381 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.381 * [taylor]: Taking taylor expansion of 1/2 in K 15.381 * [backup-simplify]: Simplify 1/2 into 1/2 15.381 * [taylor]: Taking taylor expansion of K in K 15.381 * [backup-simplify]: Simplify 0 into 0 15.381 * [backup-simplify]: Simplify 1 into 1 15.382 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.382 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.382 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.382 * [taylor]: Taking taylor expansion of J in K 15.383 * [backup-simplify]: Simplify J into J 15.383 * [backup-simplify]: Simplify (* 1 1) into 1 15.383 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.383 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.383 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 15.383 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 15.383 * [taylor]: Taking taylor expansion of 1/8 in J 15.383 * [backup-simplify]: Simplify 1/8 into 1/8 15.383 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.383 * [taylor]: Taking taylor expansion of J in J 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 1 into 1 15.384 * [backup-simplify]: Simplify (* 1 1) into 1 15.384 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in J 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in J 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify 0 into 0 15.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.387 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.388 * [backup-simplify]: Simplify (+ 0) into 0 15.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.390 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.390 * [backup-simplify]: Simplify (- 0) into 0 15.391 * [backup-simplify]: Simplify (+ 0 0) into 0 15.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.391 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 15.392 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 15.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 15.393 * [backup-simplify]: Simplify (+ 0 0) into 0 15.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.393 * [taylor]: Taking taylor expansion of 0 in K 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [taylor]: Taking taylor expansion of 0 in J 15.393 * [backup-simplify]: Simplify 0 into 0 15.394 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.394 * [backup-simplify]: Simplify (+ 0) into 0 15.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.395 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 15.395 * [taylor]: Taking taylor expansion of 0 in J 15.395 * [backup-simplify]: Simplify 0 into 0 15.396 * [taylor]: Taking taylor expansion of 0 in J 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [taylor]: Taking taylor expansion of 0 in J 15.396 * [backup-simplify]: Simplify 0 into 0 15.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify 1 into 1 15.398 * [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)) 15.398 * [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 15.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.398 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.399 * [taylor]: Taking taylor expansion of 1/4 in J 15.399 * [backup-simplify]: Simplify 1/4 into 1/4 15.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.399 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.399 * [taylor]: Taking taylor expansion of J in J 15.399 * [backup-simplify]: Simplify 0 into 0 15.399 * [backup-simplify]: Simplify 1 into 1 15.399 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.399 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.399 * [taylor]: Taking taylor expansion of U in J 15.399 * [backup-simplify]: Simplify U into U 15.399 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.399 * [taylor]: Taking taylor expansion of 1/2 in J 15.399 * [backup-simplify]: Simplify 1/2 into 1/2 15.399 * [taylor]: Taking taylor expansion of K in J 15.399 * [backup-simplify]: Simplify K into K 15.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.400 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.400 * [backup-simplify]: Simplify (- 0) into 0 15.400 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.401 * [backup-simplify]: Simplify (* 1 1) into 1 15.401 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.401 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.401 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.401 * [taylor]: Taking taylor expansion of 1 in J 15.401 * [backup-simplify]: Simplify 1 into 1 15.402 * [backup-simplify]: Simplify (+ 0 1) into 1 15.402 * [backup-simplify]: Simplify (sqrt 1) into 1 15.402 * [backup-simplify]: Simplify (+ 0 0) into 0 15.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.403 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.403 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.403 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.403 * [taylor]: Taking taylor expansion of 1/4 in K 15.403 * [backup-simplify]: Simplify 1/4 into 1/4 15.403 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.403 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.403 * [taylor]: Taking taylor expansion of J in K 15.403 * [backup-simplify]: Simplify J into J 15.404 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.404 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.404 * [taylor]: Taking taylor expansion of U in K 15.404 * [backup-simplify]: Simplify U into U 15.404 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.404 * [taylor]: Taking taylor expansion of 1/2 in K 15.404 * [backup-simplify]: Simplify 1/2 into 1/2 15.404 * [taylor]: Taking taylor expansion of K in K 15.404 * [backup-simplify]: Simplify 0 into 0 15.404 * [backup-simplify]: Simplify 1 into 1 15.404 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.404 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.404 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.405 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.405 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.405 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.405 * [taylor]: Taking taylor expansion of 1 in K 15.405 * [backup-simplify]: Simplify 1 into 1 15.405 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.406 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.406 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.406 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.406 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.407 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.407 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.409 * [backup-simplify]: Simplify (+ 0 0) into 0 15.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.409 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.409 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.409 * [taylor]: Taking taylor expansion of 1/4 in U 15.409 * [backup-simplify]: Simplify 1/4 into 1/4 15.409 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.409 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.409 * [taylor]: Taking taylor expansion of J in U 15.409 * [backup-simplify]: Simplify J into J 15.409 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.409 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.409 * [taylor]: Taking taylor expansion of U in U 15.409 * [backup-simplify]: Simplify 0 into 0 15.409 * [backup-simplify]: Simplify 1 into 1 15.409 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.410 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.410 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.410 * [taylor]: Taking taylor expansion of 1/2 in U 15.410 * [backup-simplify]: Simplify 1/2 into 1/2 15.410 * [taylor]: Taking taylor expansion of K in U 15.410 * [backup-simplify]: Simplify K into K 15.410 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.410 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.410 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.410 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.410 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.410 * [backup-simplify]: Simplify (- 0) into 0 15.411 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.411 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.411 * [backup-simplify]: Simplify (* 1 1) into 1 15.411 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.411 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.411 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.412 * [taylor]: Taking taylor expansion of 1 in U 15.412 * [backup-simplify]: Simplify 1 into 1 15.412 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.412 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.412 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.412 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.413 * [backup-simplify]: Simplify (+ 0) into 0 15.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.415 * [backup-simplify]: Simplify (- 0) into 0 15.415 * [backup-simplify]: Simplify (+ 0 0) into 0 15.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.417 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.418 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.418 * [backup-simplify]: Simplify (+ 0 0) into 0 15.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.419 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.419 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.419 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.419 * [taylor]: Taking taylor expansion of 1/4 in U 15.419 * [backup-simplify]: Simplify 1/4 into 1/4 15.419 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.419 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.419 * [taylor]: Taking taylor expansion of J in U 15.419 * [backup-simplify]: Simplify J into J 15.419 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.419 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.419 * [taylor]: Taking taylor expansion of U in U 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify 1 into 1 15.419 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.419 * [taylor]: Taking taylor expansion of 1/2 in U 15.419 * [backup-simplify]: Simplify 1/2 into 1/2 15.419 * [taylor]: Taking taylor expansion of K in U 15.419 * [backup-simplify]: Simplify K into K 15.419 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.419 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.420 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.420 * [backup-simplify]: Simplify (- 0) into 0 15.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.420 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.421 * [backup-simplify]: Simplify (* 1 1) into 1 15.421 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.421 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.421 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.421 * [taylor]: Taking taylor expansion of 1 in U 15.421 * [backup-simplify]: Simplify 1 into 1 15.421 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.422 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.422 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.422 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.422 * [backup-simplify]: Simplify (+ 0) into 0 15.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.423 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.425 * [backup-simplify]: Simplify (- 0) into 0 15.425 * [backup-simplify]: Simplify (+ 0 0) into 0 15.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.427 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.428 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.428 * [backup-simplify]: Simplify (+ 0 0) into 0 15.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 15.428 * [taylor]: Taking taylor expansion of 1/2 in K 15.428 * [backup-simplify]: Simplify 1/2 into 1/2 15.429 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 15.429 * [taylor]: Taking taylor expansion of J in K 15.429 * [backup-simplify]: Simplify J into J 15.429 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.429 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.429 * [taylor]: Taking taylor expansion of 1/2 in K 15.429 * [backup-simplify]: Simplify 1/2 into 1/2 15.429 * [taylor]: Taking taylor expansion of K in K 15.429 * [backup-simplify]: Simplify 0 into 0 15.429 * [backup-simplify]: Simplify 1 into 1 15.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.429 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.429 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.430 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 15.430 * [taylor]: Taking taylor expansion of 1/2 in J 15.430 * [backup-simplify]: Simplify 1/2 into 1/2 15.430 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 15.430 * [taylor]: Taking taylor expansion of J in J 15.430 * [backup-simplify]: Simplify 0 into 0 15.430 * [backup-simplify]: Simplify 1 into 1 15.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.430 * [taylor]: Taking taylor expansion of 1/2 in J 15.430 * [backup-simplify]: Simplify 1/2 into 1/2 15.430 * [taylor]: Taking taylor expansion of K in J 15.430 * [backup-simplify]: Simplify K into K 15.430 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.430 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.430 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.431 * [backup-simplify]: Simplify (- 0) into 0 15.431 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.431 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.431 * [taylor]: Taking taylor expansion of 0 in K 15.431 * [backup-simplify]: Simplify 0 into 0 15.431 * [taylor]: Taking taylor expansion of 0 in J 15.431 * [backup-simplify]: Simplify 0 into 0 15.431 * [backup-simplify]: Simplify 0 into 0 15.431 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.432 * [taylor]: Taking taylor expansion of 0 in J 15.432 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 15.432 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 15.433 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.436 * [backup-simplify]: Simplify (- 0) into 0 15.436 * [backup-simplify]: Simplify (+ 0 0) into 0 15.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.439 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.441 * [backup-simplify]: Simplify (+ 0 1) into 1 15.442 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.442 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 15.442 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.442 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.442 * [taylor]: Taking taylor expansion of 1/2 in K 15.442 * [backup-simplify]: Simplify 1/2 into 1/2 15.442 * [taylor]: Taking taylor expansion of K in K 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify 1 into 1 15.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.442 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.442 * [taylor]: Taking taylor expansion of J in K 15.442 * [backup-simplify]: Simplify J into J 15.443 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.443 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.443 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.443 * [taylor]: Taking taylor expansion of 1/2 in J 15.443 * [backup-simplify]: Simplify 1/2 into 1/2 15.443 * [taylor]: Taking taylor expansion of K in J 15.443 * [backup-simplify]: Simplify K into K 15.443 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.443 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.443 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.443 * [taylor]: Taking taylor expansion of J in J 15.443 * [backup-simplify]: Simplify 0 into 0 15.443 * [backup-simplify]: Simplify 1 into 1 15.443 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.443 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.444 * [backup-simplify]: Simplify (- 0) into 0 15.444 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.444 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.444 * [backup-simplify]: Simplify (+ 0) into 0 15.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.445 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.447 * [backup-simplify]: Simplify (- 0) into 0 15.447 * [backup-simplify]: Simplify (+ 0 0) into 0 15.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.448 * [backup-simplify]: Simplify 0 into 0 15.448 * [taylor]: Taking taylor expansion of 0 in J 15.448 * [backup-simplify]: Simplify 0 into 0 15.448 * [backup-simplify]: Simplify 0 into 0 15.448 * [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 15.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.449 * [taylor]: Taking taylor expansion of 0 in J 15.449 * [backup-simplify]: Simplify 0 into 0 15.449 * [backup-simplify]: Simplify 0 into 0 15.449 * [backup-simplify]: Simplify 0 into 0 15.449 * [backup-simplify]: Simplify 0 into 0 15.450 * [backup-simplify]: Simplify (+ 0) into 0 15.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.452 * [backup-simplify]: Simplify (- 0) into 0 15.452 * [backup-simplify]: Simplify (+ 0 0) into 0 15.453 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [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))) 15.454 * [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)))))) 15.454 * [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 15.454 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.454 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.454 * [taylor]: Taking taylor expansion of 1 in J 15.454 * [backup-simplify]: Simplify 1 into 1 15.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.454 * [taylor]: Taking taylor expansion of 1/4 in J 15.454 * [backup-simplify]: Simplify 1/4 into 1/4 15.454 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.454 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.455 * [taylor]: Taking taylor expansion of J in J 15.455 * [backup-simplify]: Simplify 0 into 0 15.455 * [backup-simplify]: Simplify 1 into 1 15.455 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.455 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.455 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.455 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.455 * [taylor]: Taking taylor expansion of -1/2 in J 15.455 * [backup-simplify]: Simplify -1/2 into -1/2 15.455 * [taylor]: Taking taylor expansion of K in J 15.455 * [backup-simplify]: Simplify K into K 15.455 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.455 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.455 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.456 * [backup-simplify]: Simplify (- 0) into 0 15.456 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.456 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.456 * [taylor]: Taking taylor expansion of U in J 15.456 * [backup-simplify]: Simplify U into U 15.456 * [backup-simplify]: Simplify (* 1 1) into 1 15.456 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.456 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.457 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.457 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.457 * [backup-simplify]: Simplify (+ 1 0) into 1 15.458 * [backup-simplify]: Simplify (sqrt 1) into 1 15.458 * [backup-simplify]: Simplify (+ 0 0) into 0 15.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.459 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.459 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.459 * [taylor]: Taking taylor expansion of 1 in K 15.459 * [backup-simplify]: Simplify 1 into 1 15.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.459 * [taylor]: Taking taylor expansion of 1/4 in K 15.459 * [backup-simplify]: Simplify 1/4 into 1/4 15.459 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.459 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.459 * [taylor]: Taking taylor expansion of J in K 15.459 * [backup-simplify]: Simplify J into J 15.459 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.459 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.459 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.459 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.459 * [taylor]: Taking taylor expansion of -1/2 in K 15.459 * [backup-simplify]: Simplify -1/2 into -1/2 15.459 * [taylor]: Taking taylor expansion of K in K 15.459 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify 1 into 1 15.460 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.460 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.460 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.460 * [taylor]: Taking taylor expansion of U in K 15.460 * [backup-simplify]: Simplify U into U 15.460 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.460 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.460 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.461 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.461 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.461 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.462 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.462 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.462 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.462 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.463 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.464 * [backup-simplify]: Simplify (+ 0 0) into 0 15.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.465 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.465 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.465 * [taylor]: Taking taylor expansion of 1 in U 15.465 * [backup-simplify]: Simplify 1 into 1 15.465 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.465 * [taylor]: Taking taylor expansion of 1/4 in U 15.465 * [backup-simplify]: Simplify 1/4 into 1/4 15.465 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.465 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.465 * [taylor]: Taking taylor expansion of J in U 15.465 * [backup-simplify]: Simplify J into J 15.465 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.465 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.465 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.465 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.465 * [taylor]: Taking taylor expansion of -1/2 in U 15.465 * [backup-simplify]: Simplify -1/2 into -1/2 15.465 * [taylor]: Taking taylor expansion of K in U 15.465 * [backup-simplify]: Simplify K into K 15.465 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.465 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.465 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.466 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.466 * [backup-simplify]: Simplify (- 0) into 0 15.466 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.466 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.466 * [taylor]: Taking taylor expansion of U in U 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [backup-simplify]: Simplify 1 into 1 15.466 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.467 * [backup-simplify]: Simplify (* 1 1) into 1 15.467 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.467 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.467 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.468 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.468 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.468 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.469 * [backup-simplify]: Simplify (+ 0) into 0 15.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.471 * [backup-simplify]: Simplify (- 0) into 0 15.472 * [backup-simplify]: Simplify (+ 0 0) into 0 15.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.473 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.473 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.474 * [backup-simplify]: Simplify (+ 0 0) into 0 15.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.474 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.474 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.474 * [taylor]: Taking taylor expansion of 1 in U 15.474 * [backup-simplify]: Simplify 1 into 1 15.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.474 * [taylor]: Taking taylor expansion of 1/4 in U 15.474 * [backup-simplify]: Simplify 1/4 into 1/4 15.475 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.475 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.475 * [taylor]: Taking taylor expansion of J in U 15.475 * [backup-simplify]: Simplify J into J 15.475 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.475 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.475 * [taylor]: Taking taylor expansion of -1/2 in U 15.475 * [backup-simplify]: Simplify -1/2 into -1/2 15.475 * [taylor]: Taking taylor expansion of K in U 15.475 * [backup-simplify]: Simplify K into K 15.475 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.476 * [backup-simplify]: Simplify (- 0) into 0 15.476 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.476 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.476 * [taylor]: Taking taylor expansion of U in U 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 1 into 1 15.476 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.476 * [backup-simplify]: Simplify (* 1 1) into 1 15.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.477 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.477 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.477 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.477 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.478 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.479 * [backup-simplify]: Simplify (+ 0) into 0 15.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.481 * [backup-simplify]: Simplify (- 0) into 0 15.481 * [backup-simplify]: Simplify (+ 0 0) into 0 15.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.482 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.482 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.484 * [backup-simplify]: Simplify (+ 0 0) into 0 15.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 15.484 * [taylor]: Taking taylor expansion of 1/2 in K 15.484 * [backup-simplify]: Simplify 1/2 into 1/2 15.484 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 15.484 * [taylor]: Taking taylor expansion of J in K 15.484 * [backup-simplify]: Simplify J into J 15.484 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.484 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.484 * [taylor]: Taking taylor expansion of -1/2 in K 15.484 * [backup-simplify]: Simplify -1/2 into -1/2 15.484 * [taylor]: Taking taylor expansion of K in K 15.484 * [backup-simplify]: Simplify 0 into 0 15.484 * [backup-simplify]: Simplify 1 into 1 15.485 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.485 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.485 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.485 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 15.485 * [taylor]: Taking taylor expansion of 1/2 in J 15.485 * [backup-simplify]: Simplify 1/2 into 1/2 15.485 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 15.485 * [taylor]: Taking taylor expansion of J in J 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify 1 into 1 15.485 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.485 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.485 * [taylor]: Taking taylor expansion of -1/2 in J 15.485 * [backup-simplify]: Simplify -1/2 into -1/2 15.485 * [taylor]: Taking taylor expansion of K in J 15.485 * [backup-simplify]: Simplify K into K 15.485 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.485 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.486 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.486 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.486 * [backup-simplify]: Simplify (- 0) into 0 15.486 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.486 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 15.486 * [taylor]: Taking taylor expansion of 0 in K 15.486 * [backup-simplify]: Simplify 0 into 0 15.486 * [taylor]: Taking taylor expansion of 0 in J 15.486 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.487 * [taylor]: Taking taylor expansion of 0 in J 15.487 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 15.488 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 15.488 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 15.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.493 * [backup-simplify]: Simplify (- 0) into 0 15.493 * [backup-simplify]: Simplify (+ 0 0) into 0 15.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.495 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 15.496 * [backup-simplify]: Simplify (+ 1 0) into 1 15.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.497 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 15.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.497 * [taylor]: Taking taylor expansion of -1/2 in K 15.497 * [backup-simplify]: Simplify -1/2 into -1/2 15.497 * [taylor]: Taking taylor expansion of K in K 15.497 * [backup-simplify]: Simplify 0 into 0 15.497 * [backup-simplify]: Simplify 1 into 1 15.498 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.498 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.498 * [taylor]: Taking taylor expansion of J in K 15.498 * [backup-simplify]: Simplify J into J 15.498 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.498 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.498 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.498 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.498 * [taylor]: Taking taylor expansion of -1/2 in J 15.498 * [backup-simplify]: Simplify -1/2 into -1/2 15.498 * [taylor]: Taking taylor expansion of K in J 15.498 * [backup-simplify]: Simplify K into K 15.498 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.498 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.498 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.499 * [taylor]: Taking taylor expansion of J in J 15.499 * [backup-simplify]: Simplify 0 into 0 15.499 * [backup-simplify]: Simplify 1 into 1 15.499 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.499 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.499 * [backup-simplify]: Simplify (- 0) into 0 15.499 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.499 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.500 * [backup-simplify]: Simplify (+ 0) into 0 15.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.502 * [backup-simplify]: Simplify (- 0) into 0 15.502 * [backup-simplify]: Simplify (+ 0 0) into 0 15.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.503 * [backup-simplify]: Simplify 0 into 0 15.504 * [taylor]: Taking taylor expansion of 0 in J 15.504 * [backup-simplify]: Simplify 0 into 0 15.504 * [backup-simplify]: Simplify 0 into 0 15.504 * [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 15.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.505 * [taylor]: Taking taylor expansion of 0 in J 15.505 * [backup-simplify]: Simplify 0 into 0 15.505 * [backup-simplify]: Simplify 0 into 0 15.505 * [backup-simplify]: Simplify 0 into 0 15.505 * [backup-simplify]: Simplify 0 into 0 15.505 * [backup-simplify]: Simplify (+ 0) into 0 15.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.508 * [backup-simplify]: Simplify (- 0) into 0 15.508 * [backup-simplify]: Simplify (+ 0 0) into 0 15.508 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 15.509 * [backup-simplify]: Simplify 0 into 0 15.509 * [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))) 15.509 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 15.510 * [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)))) 15.510 * [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 15.510 * [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 15.510 * [taylor]: Taking taylor expansion of -2 in U 15.510 * [backup-simplify]: Simplify -2 into -2 15.510 * [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 15.511 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.511 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.511 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.511 * [taylor]: Taking taylor expansion of 1/2 in U 15.511 * [backup-simplify]: Simplify 1/2 into 1/2 15.511 * [taylor]: Taking taylor expansion of K in U 15.511 * [backup-simplify]: Simplify K into K 15.511 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.511 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.511 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.511 * [taylor]: Taking taylor expansion of J in U 15.511 * [backup-simplify]: Simplify J into J 15.511 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 15.511 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 15.511 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 15.511 * [taylor]: Taking taylor expansion of 1/4 in U 15.511 * [backup-simplify]: Simplify 1/4 into 1/4 15.511 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 15.511 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.511 * [taylor]: Taking taylor expansion of U in U 15.511 * [backup-simplify]: Simplify 0 into 0 15.511 * [backup-simplify]: Simplify 1 into 1 15.511 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 15.511 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 15.511 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.512 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.512 * [taylor]: Taking taylor expansion of 1/2 in U 15.512 * [backup-simplify]: Simplify 1/2 into 1/2 15.512 * [taylor]: Taking taylor expansion of K in U 15.512 * [backup-simplify]: Simplify K into K 15.512 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.512 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.512 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.512 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.512 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.512 * [backup-simplify]: Simplify (- 0) into 0 15.513 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.513 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.513 * [taylor]: Taking taylor expansion of J in U 15.513 * [backup-simplify]: Simplify J into J 15.513 * [backup-simplify]: Simplify (* 1 1) into 1 15.513 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.513 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.513 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 15.514 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.514 * [taylor]: Taking taylor expansion of 1 in U 15.514 * [backup-simplify]: Simplify 1 into 1 15.514 * [backup-simplify]: Simplify (+ 0 1) into 1 15.514 * [backup-simplify]: Simplify (sqrt 1) into 1 15.515 * [backup-simplify]: Simplify (+ 0 0) into 0 15.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.516 * [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 15.516 * [taylor]: Taking taylor expansion of -2 in K 15.516 * [backup-simplify]: Simplify -2 into -2 15.516 * [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 15.516 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.516 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.516 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.516 * [taylor]: Taking taylor expansion of 1/2 in K 15.516 * [backup-simplify]: Simplify 1/2 into 1/2 15.516 * [taylor]: Taking taylor expansion of K in K 15.516 * [backup-simplify]: Simplify 0 into 0 15.516 * [backup-simplify]: Simplify 1 into 1 15.516 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.517 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.517 * [taylor]: Taking taylor expansion of J in K 15.517 * [backup-simplify]: Simplify J into J 15.517 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 15.517 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 15.517 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 15.517 * [taylor]: Taking taylor expansion of 1/4 in K 15.517 * [backup-simplify]: Simplify 1/4 into 1/4 15.517 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 15.517 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.517 * [taylor]: Taking taylor expansion of U in K 15.517 * [backup-simplify]: Simplify U into U 15.517 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 15.517 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 15.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.518 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.518 * [taylor]: Taking taylor expansion of 1/2 in K 15.518 * [backup-simplify]: Simplify 1/2 into 1/2 15.518 * [taylor]: Taking taylor expansion of K in K 15.518 * [backup-simplify]: Simplify 0 into 0 15.518 * [backup-simplify]: Simplify 1 into 1 15.518 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.519 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.519 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.519 * [taylor]: Taking taylor expansion of J in K 15.519 * [backup-simplify]: Simplify J into J 15.519 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.519 * [backup-simplify]: Simplify (* 1 1) into 1 15.519 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.520 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 15.520 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 15.520 * [taylor]: Taking taylor expansion of 1 in K 15.520 * [backup-simplify]: Simplify 1 into 1 15.520 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.520 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.520 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.521 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.521 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.521 * [backup-simplify]: Simplify (+ 0) into 0 15.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 15.523 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 15.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 15.524 * [backup-simplify]: Simplify (+ 0 0) into 0 15.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.524 * [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 15.524 * [taylor]: Taking taylor expansion of -2 in J 15.524 * [backup-simplify]: Simplify -2 into -2 15.524 * [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 15.524 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.524 * [taylor]: Taking taylor expansion of 1/2 in J 15.524 * [backup-simplify]: Simplify 1/2 into 1/2 15.525 * [taylor]: Taking taylor expansion of K in J 15.525 * [backup-simplify]: Simplify K into K 15.525 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.525 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.525 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.525 * [taylor]: Taking taylor expansion of J in J 15.525 * [backup-simplify]: Simplify 0 into 0 15.525 * [backup-simplify]: Simplify 1 into 1 15.525 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.525 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.525 * [taylor]: Taking taylor expansion of 1/4 in J 15.525 * [backup-simplify]: Simplify 1/4 into 1/4 15.525 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.525 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.525 * [taylor]: Taking taylor expansion of U in J 15.525 * [backup-simplify]: Simplify U into U 15.525 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.525 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.525 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.525 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.525 * [taylor]: Taking taylor expansion of 1/2 in J 15.525 * [backup-simplify]: Simplify 1/2 into 1/2 15.525 * [taylor]: Taking taylor expansion of K in J 15.525 * [backup-simplify]: Simplify K into K 15.525 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.525 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.525 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.526 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.526 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.526 * [backup-simplify]: Simplify (- 0) into 0 15.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.526 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.526 * [taylor]: Taking taylor expansion of J in J 15.526 * [backup-simplify]: Simplify 0 into 0 15.526 * [backup-simplify]: Simplify 1 into 1 15.526 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.526 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.527 * [backup-simplify]: Simplify (* 1 1) into 1 15.527 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.527 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.527 * [taylor]: Taking taylor expansion of 1 in J 15.527 * [backup-simplify]: Simplify 1 into 1 15.527 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.528 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.528 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.528 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.529 * [backup-simplify]: Simplify (+ 0) into 0 15.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.532 * [backup-simplify]: Simplify (- 0) into 0 15.538 * [backup-simplify]: Simplify (+ 0 0) into 0 15.538 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.539 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.539 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.540 * [backup-simplify]: Simplify (+ 0 0) into 0 15.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.541 * [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 15.541 * [taylor]: Taking taylor expansion of -2 in J 15.541 * [backup-simplify]: Simplify -2 into -2 15.541 * [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 15.541 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.541 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.541 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.541 * [taylor]: Taking taylor expansion of 1/2 in J 15.541 * [backup-simplify]: Simplify 1/2 into 1/2 15.541 * [taylor]: Taking taylor expansion of K in J 15.541 * [backup-simplify]: Simplify K into K 15.541 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.541 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.541 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.541 * [taylor]: Taking taylor expansion of J in J 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify 1 into 1 15.541 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 15.541 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 15.541 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 15.541 * [taylor]: Taking taylor expansion of 1/4 in J 15.541 * [backup-simplify]: Simplify 1/4 into 1/4 15.541 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 15.541 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.541 * [taylor]: Taking taylor expansion of U in J 15.542 * [backup-simplify]: Simplify U into U 15.542 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 15.542 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 15.542 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.542 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.542 * [taylor]: Taking taylor expansion of 1/2 in J 15.542 * [backup-simplify]: Simplify 1/2 into 1/2 15.542 * [taylor]: Taking taylor expansion of K in J 15.542 * [backup-simplify]: Simplify K into K 15.542 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.542 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.542 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.542 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.542 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.543 * [backup-simplify]: Simplify (- 0) into 0 15.543 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.543 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.543 * [taylor]: Taking taylor expansion of J in J 15.543 * [backup-simplify]: Simplify 0 into 0 15.543 * [backup-simplify]: Simplify 1 into 1 15.543 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.543 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 15.543 * [backup-simplify]: Simplify (* 1 1) into 1 15.543 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 15.544 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 15.544 * [taylor]: Taking taylor expansion of 1 in J 15.544 * [backup-simplify]: Simplify 1 into 1 15.544 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.544 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.545 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.546 * [backup-simplify]: Simplify (+ 0) into 0 15.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.548 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.548 * [backup-simplify]: Simplify (- 0) into 0 15.549 * [backup-simplify]: Simplify (+ 0 0) into 0 15.549 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 15.550 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 15.550 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 15.551 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 15.551 * [backup-simplify]: Simplify (+ 0 0) into 0 15.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.551 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.552 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.552 * [backup-simplify]: Simplify (- 0) into 0 15.552 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.552 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.552 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 15.553 * [backup-simplify]: Simplify (* -2 0) into 0 15.553 * [taylor]: Taking taylor expansion of 0 in K 15.553 * [backup-simplify]: Simplify 0 into 0 15.553 * [taylor]: Taking taylor expansion of 0 in U 15.553 * [backup-simplify]: Simplify 0 into 0 15.553 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify (+ 0) into 0 15.554 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.556 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.556 * [backup-simplify]: Simplify (- 0) into 0 15.557 * [backup-simplify]: Simplify (+ 0 0) into 0 15.557 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.558 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 15.558 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 15.558 * [taylor]: Taking taylor expansion of (- U) in K 15.558 * [taylor]: Taking taylor expansion of U in K 15.558 * [backup-simplify]: Simplify U into U 15.558 * [backup-simplify]: Simplify (- U) into (- U) 15.558 * [taylor]: Taking taylor expansion of (- U) in U 15.558 * [taylor]: Taking taylor expansion of U in U 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.559 * [backup-simplify]: Simplify (- 0) into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [taylor]: Taking taylor expansion of 0 in U 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 15.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.562 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.565 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.565 * [backup-simplify]: Simplify (- 0) into 0 15.565 * [backup-simplify]: Simplify (+ 0 0) into 0 15.566 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 15.567 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 15.567 * [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 15.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 15.569 * [backup-simplify]: Simplify (+ 0 1) into 1 15.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 15.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.571 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.573 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.574 * [backup-simplify]: Simplify (- 0) into 0 15.574 * [backup-simplify]: Simplify (+ 0 0) into 0 15.575 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.575 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 15.576 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 15.576 * [taylor]: Taking taylor expansion of 0 in K 15.576 * [backup-simplify]: Simplify 0 into 0 15.576 * [taylor]: Taking taylor expansion of 0 in U 15.576 * [backup-simplify]: Simplify 0 into 0 15.576 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify (- 0) into 0 15.577 * [taylor]: Taking taylor expansion of 0 in U 15.577 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify 0 into 0 15.578 * [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))) 15.578 * [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 15.578 * [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 15.578 * [taylor]: Taking taylor expansion of -2 in U 15.578 * [backup-simplify]: Simplify -2 into -2 15.578 * [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 15.578 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 15.578 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 15.578 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 15.578 * [taylor]: Taking taylor expansion of 1/4 in U 15.578 * [backup-simplify]: Simplify 1/4 into 1/4 15.578 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 15.578 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.578 * [taylor]: Taking taylor expansion of J in U 15.578 * [backup-simplify]: Simplify J into J 15.578 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 15.578 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.578 * [taylor]: Taking taylor expansion of U in U 15.578 * [backup-simplify]: Simplify 0 into 0 15.578 * [backup-simplify]: Simplify 1 into 1 15.578 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 15.578 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.578 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.578 * [taylor]: Taking taylor expansion of 1/2 in U 15.578 * [backup-simplify]: Simplify 1/2 into 1/2 15.578 * [taylor]: Taking taylor expansion of K in U 15.578 * [backup-simplify]: Simplify K into K 15.578 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.578 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.578 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.579 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.579 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.579 * [backup-simplify]: Simplify (- 0) into 0 15.579 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.579 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.580 * [backup-simplify]: Simplify (* 1 1) into 1 15.580 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.580 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 15.580 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 15.580 * [taylor]: Taking taylor expansion of 1 in U 15.580 * [backup-simplify]: Simplify 1 into 1 15.580 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.581 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.581 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.581 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.581 * [backup-simplify]: Simplify (+ 0) into 0 15.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.584 * [backup-simplify]: Simplify (- 0) into 0 15.584 * [backup-simplify]: Simplify (+ 0 0) into 0 15.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.585 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 15.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 15.586 * [backup-simplify]: Simplify (+ 0 0) into 0 15.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.586 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 15.586 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.586 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.586 * [taylor]: Taking taylor expansion of 1/2 in U 15.586 * [backup-simplify]: Simplify 1/2 into 1/2 15.586 * [taylor]: Taking taylor expansion of K in U 15.586 * [backup-simplify]: Simplify K into K 15.586 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.586 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.586 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.586 * [taylor]: Taking taylor expansion of J in U 15.586 * [backup-simplify]: Simplify J into J 15.586 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.586 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.587 * [backup-simplify]: Simplify (- 0) into 0 15.587 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.587 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.587 * [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 15.587 * [taylor]: Taking taylor expansion of -2 in K 15.587 * [backup-simplify]: Simplify -2 into -2 15.587 * [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 15.587 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 15.587 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 15.587 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 15.587 * [taylor]: Taking taylor expansion of 1/4 in K 15.587 * [backup-simplify]: Simplify 1/4 into 1/4 15.587 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 15.587 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.587 * [taylor]: Taking taylor expansion of J in K 15.587 * [backup-simplify]: Simplify J into J 15.587 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 15.587 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.587 * [taylor]: Taking taylor expansion of U in K 15.587 * [backup-simplify]: Simplify U into U 15.587 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 15.587 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.587 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.587 * [taylor]: Taking taylor expansion of 1/2 in K 15.587 * [backup-simplify]: Simplify 1/2 into 1/2 15.587 * [taylor]: Taking taylor expansion of K in K 15.587 * [backup-simplify]: Simplify 0 into 0 15.587 * [backup-simplify]: Simplify 1 into 1 15.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.587 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.587 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.588 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.588 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.588 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.588 * [taylor]: Taking taylor expansion of 1 in K 15.588 * [backup-simplify]: Simplify 1 into 1 15.588 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.588 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 15.588 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 15.588 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.589 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.589 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.589 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.590 * [backup-simplify]: Simplify (+ 0 0) into 0 15.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.590 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 15.590 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.590 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.590 * [taylor]: Taking taylor expansion of 1/2 in K 15.590 * [backup-simplify]: Simplify 1/2 into 1/2 15.590 * [taylor]: Taking taylor expansion of K in K 15.590 * [backup-simplify]: Simplify 0 into 0 15.590 * [backup-simplify]: Simplify 1 into 1 15.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.590 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.590 * [taylor]: Taking taylor expansion of J in K 15.590 * [backup-simplify]: Simplify J into J 15.591 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 15.591 * [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 15.591 * [taylor]: Taking taylor expansion of -2 in J 15.591 * [backup-simplify]: Simplify -2 into -2 15.591 * [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 15.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.591 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.591 * [taylor]: Taking taylor expansion of 1/4 in J 15.591 * [backup-simplify]: Simplify 1/4 into 1/4 15.591 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.591 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.591 * [taylor]: Taking taylor expansion of J in J 15.591 * [backup-simplify]: Simplify 0 into 0 15.591 * [backup-simplify]: Simplify 1 into 1 15.591 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.591 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.591 * [taylor]: Taking taylor expansion of U in J 15.591 * [backup-simplify]: Simplify U into U 15.591 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.591 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.591 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.591 * [taylor]: Taking taylor expansion of 1/2 in J 15.591 * [backup-simplify]: Simplify 1/2 into 1/2 15.591 * [taylor]: Taking taylor expansion of K in J 15.591 * [backup-simplify]: Simplify K into K 15.591 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.591 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.591 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.591 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.591 * [backup-simplify]: Simplify (- 0) into 0 15.591 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.592 * [backup-simplify]: Simplify (* 1 1) into 1 15.592 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.592 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.592 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.592 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.592 * [taylor]: Taking taylor expansion of 1 in J 15.592 * [backup-simplify]: Simplify 1 into 1 15.592 * [backup-simplify]: Simplify (+ 0 1) into 1 15.593 * [backup-simplify]: Simplify (sqrt 1) into 1 15.593 * [backup-simplify]: Simplify (+ 0 0) into 0 15.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.593 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.593 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.593 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.593 * [taylor]: Taking taylor expansion of 1/2 in J 15.593 * [backup-simplify]: Simplify 1/2 into 1/2 15.593 * [taylor]: Taking taylor expansion of K in J 15.593 * [backup-simplify]: Simplify K into K 15.593 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.593 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.593 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.593 * [taylor]: Taking taylor expansion of J in J 15.594 * [backup-simplify]: Simplify 0 into 0 15.594 * [backup-simplify]: Simplify 1 into 1 15.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.594 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.594 * [backup-simplify]: Simplify (- 0) into 0 15.594 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.594 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.594 * [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 15.594 * [taylor]: Taking taylor expansion of -2 in J 15.594 * [backup-simplify]: Simplify -2 into -2 15.594 * [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 15.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 15.594 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 15.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 15.594 * [taylor]: Taking taylor expansion of 1/4 in J 15.594 * [backup-simplify]: Simplify 1/4 into 1/4 15.594 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 15.594 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.594 * [taylor]: Taking taylor expansion of J in J 15.594 * [backup-simplify]: Simplify 0 into 0 15.594 * [backup-simplify]: Simplify 1 into 1 15.594 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 15.594 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.594 * [taylor]: Taking taylor expansion of U in J 15.594 * [backup-simplify]: Simplify U into U 15.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.594 * [taylor]: Taking taylor expansion of 1/2 in J 15.594 * [backup-simplify]: Simplify 1/2 into 1/2 15.594 * [taylor]: Taking taylor expansion of K in J 15.594 * [backup-simplify]: Simplify K into K 15.594 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.594 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.595 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.595 * [backup-simplify]: Simplify (- 0) into 0 15.595 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.595 * [backup-simplify]: Simplify (* 1 1) into 1 15.595 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.596 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 15.596 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 15.596 * [taylor]: Taking taylor expansion of 1 in J 15.596 * [backup-simplify]: Simplify 1 into 1 15.596 * [backup-simplify]: Simplify (+ 0 1) into 1 15.596 * [backup-simplify]: Simplify (sqrt 1) into 1 15.597 * [backup-simplify]: Simplify (+ 0 0) into 0 15.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.597 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 15.597 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.597 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.597 * [taylor]: Taking taylor expansion of 1/2 in J 15.597 * [backup-simplify]: Simplify 1/2 into 1/2 15.597 * [taylor]: Taking taylor expansion of K in J 15.597 * [backup-simplify]: Simplify K into K 15.597 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.597 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.597 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.597 * [taylor]: Taking taylor expansion of J in J 15.597 * [backup-simplify]: Simplify 0 into 0 15.597 * [backup-simplify]: Simplify 1 into 1 15.597 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.597 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.598 * [backup-simplify]: Simplify (- 0) into 0 15.598 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.598 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.598 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 15.598 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.598 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 15.598 * [taylor]: Taking taylor expansion of -2 in K 15.598 * [backup-simplify]: Simplify -2 into -2 15.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.598 * [taylor]: Taking taylor expansion of 1/2 in K 15.598 * [backup-simplify]: Simplify 1/2 into 1/2 15.598 * [taylor]: Taking taylor expansion of K in K 15.598 * [backup-simplify]: Simplify 0 into 0 15.598 * [backup-simplify]: Simplify 1 into 1 15.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.598 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.598 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.598 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 15.598 * [taylor]: Taking taylor expansion of -2 in U 15.598 * [backup-simplify]: Simplify -2 into -2 15.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.598 * [taylor]: Taking taylor expansion of 1/2 in U 15.599 * [backup-simplify]: Simplify 1/2 into 1/2 15.599 * [taylor]: Taking taylor expansion of K in U 15.599 * [backup-simplify]: Simplify K into K 15.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.599 * [backup-simplify]: Simplify (+ 0) into 0 15.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.600 * [backup-simplify]: Simplify (- 0) into 0 15.601 * [backup-simplify]: Simplify (+ 0 0) into 0 15.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 15.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 15.602 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 15.602 * [taylor]: Taking taylor expansion of 0 in K 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [taylor]: Taking taylor expansion of 0 in U 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 15.602 * [taylor]: Taking taylor expansion of 0 in U 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.602 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.603 * [backup-simplify]: Simplify (- 0) into 0 15.603 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.603 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.603 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 15.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.604 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.604 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.605 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.605 * [backup-simplify]: Simplify (- 0) into 0 15.605 * [backup-simplify]: Simplify (+ 0 0) into 0 15.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.606 * [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))) 15.606 * [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)))) 15.607 * [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))) 15.608 * [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))))) 15.608 * [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)))))) 15.608 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 15.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 15.608 * [taylor]: Taking taylor expansion of 1/4 in K 15.608 * [backup-simplify]: Simplify 1/4 into 1/4 15.608 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 15.608 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 15.608 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.608 * [taylor]: Taking taylor expansion of U in K 15.608 * [backup-simplify]: Simplify U into U 15.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.608 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.608 * [taylor]: Taking taylor expansion of 1/2 in K 15.608 * [backup-simplify]: Simplify 1/2 into 1/2 15.608 * [taylor]: Taking taylor expansion of K in K 15.608 * [backup-simplify]: Simplify 0 into 0 15.608 * [backup-simplify]: Simplify 1 into 1 15.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.609 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.609 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.609 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 15.609 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 15.609 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 15.609 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 15.609 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 15.609 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 15.609 * [taylor]: Taking taylor expansion of 1/4 in U 15.609 * [backup-simplify]: Simplify 1/4 into 1/4 15.609 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 15.609 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 15.609 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.609 * [taylor]: Taking taylor expansion of U in U 15.609 * [backup-simplify]: Simplify 0 into 0 15.609 * [backup-simplify]: Simplify 1 into 1 15.609 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.609 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.609 * [taylor]: Taking taylor expansion of 1/2 in U 15.609 * [backup-simplify]: Simplify 1/2 into 1/2 15.609 * [taylor]: Taking taylor expansion of K in U 15.609 * [backup-simplify]: Simplify K into K 15.609 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.610 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.610 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.610 * [backup-simplify]: Simplify (* 1 1) into 1 15.610 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.610 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.610 * [backup-simplify]: Simplify (- 0) into 0 15.610 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.610 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 15.610 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 15.611 * [backup-simplify]: Simplify (+ 0) into 0 15.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.612 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.612 * [backup-simplify]: Simplify (- 0) into 0 15.612 * [backup-simplify]: Simplify (+ 0 0) into 0 15.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 15.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.613 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 15.614 * [backup-simplify]: Simplify (- 0) into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [taylor]: Taking taylor expansion of 0 in U 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.614 * [taylor]: Taking taylor expansion of 0 in U 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.615 * [backup-simplify]: Simplify (+ 0) into 0 15.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.616 * [backup-simplify]: Simplify (- 0) into 0 15.616 * [backup-simplify]: Simplify (+ 0 0) into 0 15.617 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 15.617 * [backup-simplify]: Simplify 0 into 0 15.618 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.622 * [backup-simplify]: Simplify (- 0) into 0 15.622 * [backup-simplify]: Simplify (+ 0 0) into 0 15.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.625 * [backup-simplify]: Simplify (+ 0) into 0 15.626 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.626 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.627 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.627 * [backup-simplify]: Simplify (- 0) into 0 15.628 * [backup-simplify]: Simplify (+ 0 0) into 0 15.628 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.628 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.628 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.629 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.630 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 15.630 * [backup-simplify]: Simplify (+ 0 0) into 0 15.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 15.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.633 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.633 * [taylor]: Taking taylor expansion of 0 in K 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [taylor]: Taking taylor expansion of 0 in U 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.634 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 15.635 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 15.635 * [backup-simplify]: Simplify (- 0) into 0 15.635 * [taylor]: Taking taylor expansion of 0 in U 15.635 * [backup-simplify]: Simplify 0 into 0 15.635 * [taylor]: Taking taylor expansion of 0 in U 15.635 * [backup-simplify]: Simplify 0 into 0 15.636 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.636 * [taylor]: Taking taylor expansion of 0 in U 15.636 * [backup-simplify]: Simplify 0 into 0 15.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.640 * [backup-simplify]: Simplify (- 0) into 0 15.640 * [backup-simplify]: Simplify (+ 0 0) into 0 15.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 15.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 15.644 * [backup-simplify]: Simplify (- 0) into 0 15.644 * [backup-simplify]: Simplify 0 into 0 15.644 * [backup-simplify]: Simplify 0 into 0 15.644 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 15.645 * [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)))))))) 15.645 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 15.645 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 15.645 * [taylor]: Taking taylor expansion of 2 in U 15.645 * [backup-simplify]: Simplify 2 into 2 15.645 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 15.645 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 15.645 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.645 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.645 * [taylor]: Taking taylor expansion of -1/2 in U 15.645 * [backup-simplify]: Simplify -1/2 into -1/2 15.645 * [taylor]: Taking taylor expansion of K in U 15.645 * [backup-simplify]: Simplify K into K 15.645 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.645 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.645 * [taylor]: Taking taylor expansion of J in U 15.645 * [backup-simplify]: Simplify J into J 15.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.645 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.645 * [backup-simplify]: Simplify (- 0) into 0 15.645 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.646 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.646 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 15.646 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 15.646 * [taylor]: Taking taylor expansion of 1 in U 15.646 * [backup-simplify]: Simplify 1 into 1 15.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 15.646 * [taylor]: Taking taylor expansion of 1/4 in U 15.646 * [backup-simplify]: Simplify 1/4 into 1/4 15.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 15.646 * [taylor]: Taking taylor expansion of (pow J 2) in U 15.646 * [taylor]: Taking taylor expansion of J in U 15.646 * [backup-simplify]: Simplify J into J 15.646 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 15.646 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 15.646 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.646 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.646 * [taylor]: Taking taylor expansion of -1/2 in U 15.646 * [backup-simplify]: Simplify -1/2 into -1/2 15.646 * [taylor]: Taking taylor expansion of K in U 15.646 * [backup-simplify]: Simplify K into K 15.646 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.646 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.646 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.646 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.646 * [backup-simplify]: Simplify (- 0) into 0 15.646 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.646 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.646 * [taylor]: Taking taylor expansion of U in U 15.646 * [backup-simplify]: Simplify 0 into 0 15.646 * [backup-simplify]: Simplify 1 into 1 15.646 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.647 * [backup-simplify]: Simplify (* 1 1) into 1 15.647 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.647 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 15.647 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.647 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.647 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.647 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.648 * [backup-simplify]: Simplify (+ 0) into 0 15.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.648 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.649 * [backup-simplify]: Simplify (- 0) into 0 15.650 * [backup-simplify]: Simplify (+ 0 0) into 0 15.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.650 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 15.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 15.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 15.651 * [backup-simplify]: Simplify (+ 0 0) into 0 15.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.651 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 15.651 * [taylor]: Taking taylor expansion of 2 in K 15.651 * [backup-simplify]: Simplify 2 into 2 15.651 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 15.651 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 15.651 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.651 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.651 * [taylor]: Taking taylor expansion of -1/2 in K 15.651 * [backup-simplify]: Simplify -1/2 into -1/2 15.651 * [taylor]: Taking taylor expansion of K in K 15.651 * [backup-simplify]: Simplify 0 into 0 15.651 * [backup-simplify]: Simplify 1 into 1 15.652 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.652 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.652 * [taylor]: Taking taylor expansion of J in K 15.652 * [backup-simplify]: Simplify J into J 15.652 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 15.652 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 15.652 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 15.652 * [taylor]: Taking taylor expansion of 1 in K 15.652 * [backup-simplify]: Simplify 1 into 1 15.652 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 15.652 * [taylor]: Taking taylor expansion of 1/4 in K 15.652 * [backup-simplify]: Simplify 1/4 into 1/4 15.652 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 15.652 * [taylor]: Taking taylor expansion of (pow J 2) in K 15.652 * [taylor]: Taking taylor expansion of J in K 15.652 * [backup-simplify]: Simplify J into J 15.652 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 15.652 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 15.652 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.652 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.652 * [taylor]: Taking taylor expansion of -1/2 in K 15.652 * [backup-simplify]: Simplify -1/2 into -1/2 15.652 * [taylor]: Taking taylor expansion of K in K 15.652 * [backup-simplify]: Simplify 0 into 0 15.652 * [backup-simplify]: Simplify 1 into 1 15.652 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.652 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.652 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.652 * [taylor]: Taking taylor expansion of U in K 15.652 * [backup-simplify]: Simplify U into U 15.652 * [backup-simplify]: Simplify (* J J) into (pow J 2) 15.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.653 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.653 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.653 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.653 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.653 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 15.653 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.653 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 15.653 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.654 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.654 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.655 * [backup-simplify]: Simplify (+ 0 0) into 0 15.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.655 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 15.655 * [taylor]: Taking taylor expansion of 2 in J 15.655 * [backup-simplify]: Simplify 2 into 2 15.655 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 15.655 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.655 * [taylor]: Taking taylor expansion of -1/2 in J 15.655 * [backup-simplify]: Simplify -1/2 into -1/2 15.655 * [taylor]: Taking taylor expansion of K in J 15.655 * [backup-simplify]: Simplify K into K 15.655 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.655 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.655 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.655 * [taylor]: Taking taylor expansion of J in J 15.655 * [backup-simplify]: Simplify 0 into 0 15.655 * [backup-simplify]: Simplify 1 into 1 15.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.655 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.656 * [backup-simplify]: Simplify (- 0) into 0 15.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.656 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.656 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.656 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.656 * [taylor]: Taking taylor expansion of 1 in J 15.656 * [backup-simplify]: Simplify 1 into 1 15.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.656 * [taylor]: Taking taylor expansion of 1/4 in J 15.656 * [backup-simplify]: Simplify 1/4 into 1/4 15.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.656 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.656 * [taylor]: Taking taylor expansion of J in J 15.656 * [backup-simplify]: Simplify 0 into 0 15.656 * [backup-simplify]: Simplify 1 into 1 15.656 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.656 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.656 * [taylor]: Taking taylor expansion of -1/2 in J 15.656 * [backup-simplify]: Simplify -1/2 into -1/2 15.656 * [taylor]: Taking taylor expansion of K in J 15.656 * [backup-simplify]: Simplify K into K 15.656 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.657 * [backup-simplify]: Simplify (- 0) into 0 15.657 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.657 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.657 * [taylor]: Taking taylor expansion of U in J 15.657 * [backup-simplify]: Simplify U into U 15.657 * [backup-simplify]: Simplify (* 1 1) into 1 15.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.657 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.657 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.657 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.657 * [backup-simplify]: Simplify (+ 1 0) into 1 15.658 * [backup-simplify]: Simplify (sqrt 1) into 1 15.658 * [backup-simplify]: Simplify (+ 0 0) into 0 15.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.658 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 15.658 * [taylor]: Taking taylor expansion of 2 in J 15.658 * [backup-simplify]: Simplify 2 into 2 15.658 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 15.658 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 15.659 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.659 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.659 * [taylor]: Taking taylor expansion of -1/2 in J 15.659 * [backup-simplify]: Simplify -1/2 into -1/2 15.659 * [taylor]: Taking taylor expansion of K in J 15.659 * [backup-simplify]: Simplify K into K 15.659 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.659 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.659 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.659 * [taylor]: Taking taylor expansion of J in J 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 1 into 1 15.659 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.659 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.662 * [backup-simplify]: Simplify (- 0) into 0 15.663 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.663 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.663 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 15.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 15.663 * [taylor]: Taking taylor expansion of 1 in J 15.663 * [backup-simplify]: Simplify 1 into 1 15.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 15.663 * [taylor]: Taking taylor expansion of 1/4 in J 15.663 * [backup-simplify]: Simplify 1/4 into 1/4 15.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 15.663 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.663 * [taylor]: Taking taylor expansion of J in J 15.663 * [backup-simplify]: Simplify 0 into 0 15.663 * [backup-simplify]: Simplify 1 into 1 15.663 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 15.663 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.663 * [taylor]: Taking taylor expansion of -1/2 in J 15.663 * [backup-simplify]: Simplify -1/2 into -1/2 15.663 * [taylor]: Taking taylor expansion of K in J 15.663 * [backup-simplify]: Simplify K into K 15.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.663 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.664 * [backup-simplify]: Simplify (- 0) into 0 15.664 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.664 * [taylor]: Taking taylor expansion of (pow U 2) in J 15.664 * [taylor]: Taking taylor expansion of U in J 15.664 * [backup-simplify]: Simplify U into U 15.664 * [backup-simplify]: Simplify (* 1 1) into 1 15.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.664 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.664 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 15.664 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.665 * [backup-simplify]: Simplify (+ 1 0) into 1 15.665 * [backup-simplify]: Simplify (sqrt 1) into 1 15.665 * [backup-simplify]: Simplify (+ 0 0) into 0 15.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.666 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.666 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 15.666 * [taylor]: Taking taylor expansion of 2 in K 15.666 * [backup-simplify]: Simplify 2 into 2 15.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.666 * [taylor]: Taking taylor expansion of -1/2 in K 15.666 * [backup-simplify]: Simplify -1/2 into -1/2 15.666 * [taylor]: Taking taylor expansion of K in K 15.666 * [backup-simplify]: Simplify 0 into 0 15.666 * [backup-simplify]: Simplify 1 into 1 15.666 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.666 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.666 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.666 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 15.666 * [taylor]: Taking taylor expansion of 2 in U 15.666 * [backup-simplify]: Simplify 2 into 2 15.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.666 * [taylor]: Taking taylor expansion of -1/2 in U 15.666 * [backup-simplify]: Simplify -1/2 into -1/2 15.666 * [taylor]: Taking taylor expansion of K in U 15.666 * [backup-simplify]: Simplify K into K 15.666 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.666 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.666 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.667 * [backup-simplify]: Simplify (+ 0) into 0 15.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.667 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.668 * [backup-simplify]: Simplify (- 0) into 0 15.668 * [backup-simplify]: Simplify (+ 0 0) into 0 15.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 15.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.669 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 15.670 * [taylor]: Taking taylor expansion of 0 in K 15.670 * [backup-simplify]: Simplify 0 into 0 15.670 * [taylor]: Taking taylor expansion of 0 in U 15.670 * [backup-simplify]: Simplify 0 into 0 15.670 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 15.670 * [taylor]: Taking taylor expansion of 0 in U 15.670 * [backup-simplify]: Simplify 0 into 0 15.670 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.670 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.670 * [backup-simplify]: Simplify (- 0) into 0 15.670 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.670 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.670 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 15.671 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.671 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.672 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 15.672 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.673 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.673 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.674 * [backup-simplify]: Simplify (- 0) into 0 15.674 * [backup-simplify]: Simplify (+ 0 0) into 0 15.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 15.676 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 15.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 15.676 * [taylor]: Taking taylor expansion of 1/4 in K 15.676 * [backup-simplify]: Simplify 1/4 into 1/4 15.676 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 15.676 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 15.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.676 * [taylor]: Taking taylor expansion of -1/2 in K 15.676 * [backup-simplify]: Simplify -1/2 into -1/2 15.676 * [taylor]: Taking taylor expansion of K in K 15.676 * [backup-simplify]: Simplify 0 into 0 15.676 * [backup-simplify]: Simplify 1 into 1 15.676 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.676 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.676 * [taylor]: Taking taylor expansion of (pow U 2) in K 15.676 * [taylor]: Taking taylor expansion of U in K 15.676 * [backup-simplify]: Simplify U into U 15.676 * [backup-simplify]: Simplify (* U U) into (pow U 2) 15.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 15.677 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 15.677 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 15.677 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 15.677 * [taylor]: Taking taylor expansion of 1/4 in U 15.677 * [backup-simplify]: Simplify 1/4 into 1/4 15.677 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 15.677 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.677 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.677 * [taylor]: Taking taylor expansion of -1/2 in U 15.677 * [backup-simplify]: Simplify -1/2 into -1/2 15.677 * [taylor]: Taking taylor expansion of K in U 15.677 * [backup-simplify]: Simplify K into K 15.677 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.677 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.677 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.677 * [taylor]: Taking taylor expansion of (pow U 2) in U 15.677 * [taylor]: Taking taylor expansion of U in U 15.677 * [backup-simplify]: Simplify 0 into 0 15.677 * [backup-simplify]: Simplify 1 into 1 15.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.677 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.678 * [backup-simplify]: Simplify (- 0) into 0 15.678 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.678 * [backup-simplify]: Simplify (* 1 1) into 1 15.678 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.678 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 15.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.679 * [backup-simplify]: Simplify (+ 0) into 0 15.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.682 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.682 * [backup-simplify]: Simplify (- 0) into 0 15.682 * [backup-simplify]: Simplify (+ 0 0) into 0 15.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.683 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.683 * [backup-simplify]: Simplify 0 into 0 15.683 * [taylor]: Taking taylor expansion of 0 in U 15.683 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.684 * [taylor]: Taking taylor expansion of 0 in U 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 0 into 0 15.685 * [backup-simplify]: Simplify (+ 0) into 0 15.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.687 * [backup-simplify]: Simplify (- 0) into 0 15.688 * [backup-simplify]: Simplify (+ 0 0) into 0 15.688 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 15.688 * [backup-simplify]: Simplify 0 into 0 15.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.689 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.689 * [backup-simplify]: Simplify (+ 0) into 0 15.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.692 * [backup-simplify]: Simplify (- 0) into 0 15.692 * [backup-simplify]: Simplify (+ 0 0) into 0 15.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.693 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 15.693 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 15.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 15.694 * [backup-simplify]: Simplify (+ 0 0) into 0 15.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 15.696 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.700 * [backup-simplify]: Simplify (- 0) into 0 15.700 * [backup-simplify]: Simplify (+ 0 0) into 0 15.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 15.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.704 * [taylor]: Taking taylor expansion of 0 in K 15.704 * [backup-simplify]: Simplify 0 into 0 15.704 * [taylor]: Taking taylor expansion of 0 in U 15.705 * [backup-simplify]: Simplify 0 into 0 15.705 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 15.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 15.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 15.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 15.706 * [taylor]: Taking taylor expansion of 0 in U 15.706 * [backup-simplify]: Simplify 0 into 0 15.706 * [taylor]: Taking taylor expansion of 0 in U 15.706 * [backup-simplify]: Simplify 0 into 0 15.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 15.707 * [taylor]: Taking taylor expansion of 0 in U 15.707 * [backup-simplify]: Simplify 0 into 0 15.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.710 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.712 * [backup-simplify]: Simplify (- 0) into 0 15.712 * [backup-simplify]: Simplify (+ 0 0) into 0 15.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.713 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.713 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 15.714 * * * [progress]: simplifying candidates 15.714 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 15.714 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))> 15.715 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 15.715 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 15.716 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 15.717 * * * * [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)))))))> 15.717 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 15.717 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 15.718 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 15.719 * * * * [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)))))))> 15.719 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 15.719 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 15.720 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 15.721 * * * * [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)))))))))> 15.721 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 15.721 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 15.722 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 15.722 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 15.722 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 15.722 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 15.722 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 15.722 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 15.724 * [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 (+ (* (/ 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) (log (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (exp (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (* 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 J) J) (* (* (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* -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)))))) (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 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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))))) (* J (* (* -2 (cos (/ K 2))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))))) (real->posit16 (* J (* (* -2 (cos (/ K 2))) (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 (* 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)) 15.728 * * [simplify]: iteration 0: 98 enodes 15.770 * * [simplify]: iteration 1: 240 enodes 15.849 * * [simplify]: iteration 2: 848 enodes 16.082 * * [simplify]: iteration 3: 2001 enodes 16.584 * * [simplify]: iteration complete: 2001 enodes 16.584 * * [simplify]: Extracting #0: cost 32 inf + 0 16.585 * * [simplify]: Extracting #1: cost 239 inf + 3 16.586 * * [simplify]: Extracting #2: cost 599 inf + 720 16.589 * * [simplify]: Extracting #3: cost 827 inf + 2406 16.592 * * [simplify]: Extracting #4: cost 854 inf + 4234 16.595 * * [simplify]: Extracting #5: cost 857 inf + 5622 16.606 * * [simplify]: Extracting #6: cost 638 inf + 68604 16.672 * * [simplify]: Extracting #7: cost 223 inf + 247660 16.798 * * [simplify]: Extracting #8: cost 22 inf + 350421 16.892 * * [simplify]: Extracting #9: cost 0 inf + 364764 16.987 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (exp (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (fabs (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 1 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 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)) (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)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (fabs (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 1 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 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)) (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)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (fabs (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (cbrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) 1 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 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)) (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 (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)) (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)) (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)) (log (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (log (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (log (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (log (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (exp (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) -8)) (* (* J J) J)) (* (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (* (* (* (* (* (cos (/ K 2)) J) -2) (* (* (cos (/ K 2)) J) -2)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (* (* (* (* (* (cos (/ K 2)) J) -2) (* (* (cos (/ K 2)) J) -2)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cbrt (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (cbrt (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)))) (cbrt (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (* (* (* (* (* (* (cos (/ K 2)) J) -2) (* (* (cos (/ K 2)) J) -2)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (sqrt (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (sqrt (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (* (* (cos (/ K 2)) J) -2) (* (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* (cbrt J) -2) (cos (/ K 2)))) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (sqrt J))) (* (* J (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)) (* -2 (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (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) 17.016 * * * [progress]: adding candidates to table 18.423 * [progress]: [Phase 3 of 3] Extracting. 18.423 * * [regime]: Finding splitpoints for: (# # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # # # # #) 18.431 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 18.431 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # # # # #) 18.544 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # # # # #) 18.676 * * * * [regimes]: Trying to branch on U from (# # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # # # # #) 18.792 * * * * [regimes]: Trying to branch on K from (# # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # # # # #) 18.922 * * * * [regimes]: Trying to branch on J from (# # # # #real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # # # # #) 19.009 * * * [regime]: Found split indices: #